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Statistics homework help

Using the data set you collected in Week 1, excluding the super car outlier, you should have calculated the mean and standard deviation during Week 2 for price data. Along with finding a p and q from Week 3. Using this information, calculate two 95% confidence intervals. For the first interval you need to calculate a T-confidence interval for the sample population. You have the mean, standard deviation and the sample size, all you have left to find is the T-critical value and you can calculate the interval. For the second interval calculate a proportion confidence interval using the proportion of the number of cars that fall below the average. You have the p, q, and n, all that is left is calculating a Z-critical value,
Make sure you include these values in your post, so your fellow classmates can use them to calculate their own confidence intervals. Once you calculate the confidence intervals you will need to interpret your interval and explain what this means in words.
Do the confidence intervals surprise you, knowing what you have learned about confidence intervals, proportions and normal distribution? Please the Week 5 Confidence T-Interval Mean and Unknown SD PDF and the Week 5 Confidence Interval Proportions PDF at the bottom of the discussion. This will give you a step by step example on how to help you calculate this using Excel. These PDFs will also help you in Quizzes section.
“Before you post your initial discussion, you must submit it in the assignment area in a Word file, so its originality can be checked by Turnitin.com. I will take points off if you do not do this. Your score will appear in the same place you submit your file. It can take up to 24 hours for a score to return, but usually, it is less than 30 minutes. Before you post your discussion in the activity, make sure your originality index (%) is less than 15. If it is greater than 15%, rewrite your discussion, submit it again in the assignment area and check the %. Keep doing this until your % is less than 15%. Only post your discussion when the % is less than 15. Here are two hints to get your score below 15%: 1) leave your list of supporting material out of the file you submit for checking (don’t forget to add these back when you post your discussion in the forum) and 2) use your own words, not quotes.
Once you have posted your initial discussion, you must reply to at least two other learner’s post. Each post must be a different topic. So, you will have your initial post from one topic, your first follow-up post from a different topic, and your second follow-up post from one of the other topics. Of course, you are more than welcome to respond to more than two learners.”
Instructions: You must respond to at least 2 other students. Responses may include direct questions.
In your first peer posts, pick another confidence level, i.e. 90%, 99%, 97%, any other confidence level is fine. Have fun and be creative with it and calculate another T-confidence interval and interpret your results. Compare your results to that of the initial 95%, how much do they differ? How useful can this type of information be when you go to buy a new car, or even a house?
In your second peer posts, pick another confidence level, i.e. 90%, 99%, 97%, any other confidence level is fine. Have fun and be creative with it and calculate another proportion interval and interpret your results. Compare your results to that of the initial 95%, how much do they differ? How useful can this type of information be when you go to buy a new car, or even a house?
Make sure you include your data set in your initial post as well. In this discussion you should be calculating 4 total confidence intervals. Two T-confidence intervals and Two proportion confidence intervals. Two in your initial post and then one in each of your response posts.

Car_data.xlsx

Statistics homework help

/in Mathematics /by admin

Using the data set you collected in Week 1, excluding the super car outlier, you should have calculated the mean and standard deviation during Week 2 for price data. Along with finding a p and q from Week 3. Using this information, calculate two 95% confidence intervals. For the first interval you need to calculate a T-confidence interval for the sample population. You have the mean, standard deviation and the sample size, all you have left to find is the T-critical value and you can calculate the interval. For the second interval calculate a proportion confidence interval using the proportion of the number of cars that fall below the average. You have the p, q, and n, all that is left is calculating a Z-critical value,
Make sure you include these values in your post, so your fellow classmates can use them to calculate their own confidence intervals. Once you calculate the confidence intervals you will need to interpret your interval and explain what this means in words.
Do the confidence intervals surprise you, knowing what you have learned about confidence intervals, proportions and normal distribution? Please the Week 5 Confidence T-Interval Mean and Unknown SD PDF and the Week 5 Confidence Interval Proportions PDF at the bottom of the discussion. This will give you a step by step example on how to help you calculate this using Excel. These PDFs will also help you in Quizzes section.
“Before you post your initial discussion, you must submit it in the assignment area in a Word file, so its originality can be checked by Turnitin.com. I will take points off if you do not do this. Your score will appear in the same place you submit your file. It can take up to 24 hours for a score to return, but usually, it is less than 30 minutes. Before you post your discussion in the activity, make sure your originality index (%) is less than 15. If it is greater than 15%, rewrite your discussion, submit it again in the assignment area and check the %. Keep doing this until your % is less than 15%. Only post your discussion when the % is less than 15. Here are two hints to get your score below 15%: 1) leave your list of supporting material out of the file you submit for checking (don’t forget to add these back when you post your discussion in the forum) and 2) use your own words, not quotes.
Once you have posted your initial discussion, you must reply to at least two other learner’s post. Each post must be a different topic. So, you will have your initial post from one topic, your first follow-up post from a different topic, and your second follow-up post from one of the other topics. Of course, you are more than welcome to respond to more than two learners.”
Instructions: You must respond to at least 2 other students. Responses may include direct questions.
In your first peer posts, pick another confidence level, i.e. 90%, 99%, 97%, any other confidence level is fine. Have fun and be creative with it and calculate another T-confidence interval and interpret your results. Compare your results to that of the initial 95%, how much do they differ? How useful can this type of information be when you go to buy a new car, or even a house?
In your second peer posts, pick another confidence level, i.e. 90%, 99%, 97%, any other confidence level is fine. Have fun and be creative with it and calculate another proportion interval and interpret your results. Compare your results to that of the initial 95%, how much do they differ? How useful can this type of information be when you go to buy a new car, or even a house?
Make sure you include your data set in your initial post as well. In this discussion you should be calculating 4 total confidence intervals. Two T-confidence intervals and Two proportion confidence intervals. Two in your initial post and then one in each of your response posts.

Car_data.xlsx

Mathematics homework help

/in Mathematics /by admin

POWER POINT PRESENTATION
Instructions

Review the rubric to make sure you understand the criteria for earning your grade.
Create a 20 slide PowerPoint presentation or Prezi according to the directions below. You must show your work, not just give the answers.
Each slide should also include an explanation of every mathematical computation in either written or audio format. Review this website for help adding audio to a PowerPoint slide: https://support.office.com/en-us/article/add-or-delete-audio-in-your-powerpoint-presentation-c3b2a9fd-2547-41d9-9182-3dfaa58f1316. Include any reference or resource you use on the slide that you use it.
What to include within the PowerPoint presentation:
1. Slide 1: Title slide: include your name, date, instructor name, course, and assignment name. Provide a short introduction of yourself.
2. Slide 2: Provide an example of a percent. Explain how to find the equivalent decimal and fraction. Make sure to reduce to the simplest fraction.
3. Slide 3: Provide an example of a decimal. Explain how to find the equivalent fraction and percent. Make sure to reduce to the simplest fraction.
4. Slide 4: Provide an example of a fraction. Explain how to find the equivalent decimal and percent.
5. Slide 5: Pick a number that represents A. Pick a number that represents B. Find the ratio of A to B. Find the ratio of B to A. Explain.
6. Slide 6: Pick a number that represents A. Pick a number that represents B. Complete the sentences: A is ____ percent of B. B is ____ percent of A. Explain.
7. Slide 7: Find the average price of a home in your neighborhood now. Find the average price of a home in your neighborhood ten years ago. What is the percent change? Is this an increase or decrease? Explain.
8. Slide 8: What is 35% of 250? Explain.
9. Slide 9: 40 is what percent of 150? Explain.
10. Slide 10: 67 is 85% of what? Explain.
11. Slide 11: Convert 5.4 x 10⁶to ordinary notation. Explain.
12. Slide 12: Convert 5.4 x 10^-6to ordinary notation. Explain.
13. Slide 13: Convert 130,000,000 to scientific notation. Explain.
14. Slide 14: Convert 0.0013 to scientific notation. Explain.
15. Slide 15: Explain how to mathematically find a 15% tip on a restaurant meal and give an example.
16. Slide 16: Explain how to mathematically find a 20% tip on a restaurant meal and give an example.
17. Slide 17: Round 546.39 to the tens place. Explain.
18. Slide 18: Round 546.39 to the ones place. Explain.
19. Slide 19: Round 546.39 to the tenths place. Explain.
20. Slide 20: Write one paragraph (5-8 sentences) reflecting on the following prompts:

Mathematics homework help

/in Mathematics /by admin

POWER POINT PRESENTATION
Instructions

Review the rubric to make sure you understand the criteria for earning your grade.
Create a 20 slide PowerPoint presentation or Prezi according to the directions below. You must show your work, not just give the answers.
Each slide should also include an explanation of every mathematical computation in either written or audio format. Review this website for help adding audio to a PowerPoint slide: https://support.office.com/en-us/article/add-or-delete-audio-in-your-powerpoint-presentation-c3b2a9fd-2547-41d9-9182-3dfaa58f1316. Include any reference or resource you use on the slide that you use it.
What to include within the PowerPoint presentation:
1. Slide 1: Title slide: include your name, date, instructor name, course, and assignment name. Provide a short introduction of yourself.
2. Slide 2: Provide an example of a percent. Explain how to find the equivalent decimal and fraction. Make sure to reduce to the simplest fraction.
3. Slide 3: Provide an example of a decimal. Explain how to find the equivalent fraction and percent. Make sure to reduce to the simplest fraction.
4. Slide 4: Provide an example of a fraction. Explain how to find the equivalent decimal and percent.
5. Slide 5: Pick a number that represents A. Pick a number that represents B. Find the ratio of A to B. Find the ratio of B to A. Explain.
6. Slide 6: Pick a number that represents A. Pick a number that represents B. Complete the sentences: A is ____ percent of B. B is ____ percent of A. Explain.
7. Slide 7: Find the average price of a home in your neighborhood now. Find the average price of a home in your neighborhood ten years ago. What is the percent change? Is this an increase or decrease? Explain.
8. Slide 8: What is 35% of 250? Explain.
9. Slide 9: 40 is what percent of 150? Explain.
10. Slide 10: 67 is 85% of what? Explain.
11. Slide 11: Convert 5.4 x 10⁶to ordinary notation. Explain.
12. Slide 12: Convert 5.4 x 10^-6to ordinary notation. Explain.
13. Slide 13: Convert 130,000,000 to scientific notation. Explain.
14. Slide 14: Convert 0.0013 to scientific notation. Explain.
15. Slide 15: Explain how to mathematically find a 15% tip on a restaurant meal and give an example.
16. Slide 16: Explain how to mathematically find a 20% tip on a restaurant meal and give an example.
17. Slide 17: Round 546.39 to the tens place. Explain.
18. Slide 18: Round 546.39 to the ones place. Explain.
19. Slide 19: Round 546.39 to the tenths place. Explain.
20. Slide 20: Write one paragraph (5-8 sentences) reflecting on the following prompts:

Numerical analysis homework help

/in Mathematics /by admin

This project computes the two largest eigenvalues of a 50×50 matrix. You will use the usual Power Method to compute the largest eigenvalue. For the next largest eigenvalue, you can use an “Annihilation or Deflation or Shifting technique” discussed in class and also in our book. The matrix A is tridiagonal. Its main diagonal has ones on it. The super diagonal (the diagonal above the main diagonal) has negative-ones on it. The sub-diagonal (below the main diagonal) has negative-ones also. Our starting vector x_o has all ones. Our tolerance is 0.01.
Turn in the following on one page
1) Draw Gershgorin Circles that contain the eigenvalues of A.
Use “insert” from the menu to locate and draw circles.

2) Based on part (1), what is the spectral radius of A. Print your answer here: _______________

3) With a starting vector x_o= [1 1 1 1….1]^T, apply the usual power method to estimate l_max , the dominant-
eigenvalue of matrix A. Use a tolerance of 0.01. Print your answer with 4 decimals: ____________

4) Print the number of iterations required to converge. ____________

5) Use the deflation technique discussed in class to compute the second largest eigenvalue. Tolerance = 0.01
Print the second largest eigenvalue with 4 decimals: _________________

6) Print the number of iterations required to converge. ___________
7) Print your computer program here. As discussed in class, the main body of your program is 3 lines, so your
program should not be long.

This project computes the two largest eigenvalues of a 50×50 matrix. You will use the usual Power Method to compute the largest eigenvalue. For the next largest eigenvalue, you can use an “Annihilation or Deflation or Shifting technique” discussed in class and also in our book. The matrix A is tridiagonal. Its main diagonal has ones on it. The super diagonal (the diagonal above the main diagonal) has negative-ones on it. The sub-diagonal (below the main diagonal) has negative-ones also. Our starting vector x_o has all ones. Our tolerance is 0.01.
Turn in the following on one page
1) Draw Gershgorin Circles that contain the eigenvalues of A.
Use “insert” from the menu to locate and draw circles.

2) Based on part (1), what is the spectral radius of A. Print your answer here: _______________

3) With a starting vector x_o= [1 1 1 1….1]^T, apply the usual power method to estimate l_max , the dominant-
eigenvalue of matrix A. Use a tolerance of 0.01. Print your answer with 4 decimals: ____________

4) Print the number of iterations required to converge. ____________

5) Use the deflation technique discussed in class to compute the second largest eigenvalue. Tolerance = 0.01
Print the second largest eigenvalue with 4 decimals: _________________

6) Print the number of iterations required to converge. ___________
7) Print your computer program here. As discussed in class, the main body of your program is 3 lines, so your
program should not be long.

Numerical analysis homework help

/in Mathematics /by admin

This project computes the two largest eigenvalues of a 50×50 matrix. You will use the usual Power Method to compute the largest eigenvalue. For the next largest eigenvalue, you can use an “Annihilation or Deflation or Shifting technique” discussed in class and also in our book. The matrix A is tridiagonal. Its main diagonal has ones on it. The super diagonal (the diagonal above the main diagonal) has negative-ones on it. The sub-diagonal (below the main diagonal) has negative-ones also. Our starting vector x_o has all ones. Our tolerance is 0.01.
Turn in the following on one page
1) Draw Gershgorin Circles that contain the eigenvalues of A.
Use “insert” from the menu to locate and draw circles.

2) Based on part (1), what is the spectral radius of A. Print your answer here: _______________

3) With a starting vector x_o= [1 1 1 1….1]^T, apply the usual power method to estimate l_max , the dominant-
eigenvalue of matrix A. Use a tolerance of 0.01. Print your answer with 4 decimals: ____________

4) Print the number of iterations required to converge. ____________

5) Use the deflation technique discussed in class to compute the second largest eigenvalue. Tolerance = 0.01
Print the second largest eigenvalue with 4 decimals: _________________

6) Print the number of iterations required to converge. ___________
7) Print your computer program here. As discussed in class, the main body of your program is 3 lines, so your
program should not be long.

This project computes the two largest eigenvalues of a 50×50 matrix. You will use the usual Power Method to compute the largest eigenvalue. For the next largest eigenvalue, you can use an “Annihilation or Deflation or Shifting technique” discussed in class and also in our book. The matrix A is tridiagonal. Its main diagonal has ones on it. The super diagonal (the diagonal above the main diagonal) has negative-ones on it. The sub-diagonal (below the main diagonal) has negative-ones also. Our starting vector x_o has all ones. Our tolerance is 0.01.
Turn in the following on one page
1) Draw Gershgorin Circles that contain the eigenvalues of A.
Use “insert” from the menu to locate and draw circles.

2) Based on part (1), what is the spectral radius of A. Print your answer here: _______________

3) With a starting vector x_o= [1 1 1 1….1]^T, apply the usual power method to estimate l_max , the dominant-
eigenvalue of matrix A. Use a tolerance of 0.01. Print your answer with 4 decimals: ____________

4) Print the number of iterations required to converge. ____________

5) Use the deflation technique discussed in class to compute the second largest eigenvalue. Tolerance = 0.01
Print the second largest eigenvalue with 4 decimals: _________________

6) Print the number of iterations required to converge. ___________
7) Print your computer program here. As discussed in class, the main body of your program is 3 lines, so your
program should not be long.

Mathematics homework help

/in Mathematics /by admin

Use the given conditions to write an equation for the line in the indicated form.
Passing through (5, 3) and perpendicular to the line whose equation is y = x + 5;
slope-intercept form
1. y = 7x – 38
2. y = – 7x + 38
3. y = – 7x – 38
4. y = – x –
Question 22.5 PointsUse the given conditions to write an equation for the line in the indicated form.
Passing through (3, 2) and parallel to the line whose equation is ;
point-slope form
1. y – 2 = 2(x – 3)
2. y = 2x
3. y – 2 = x – 3
4. y – 3 = 2(x – 2)
Question 32.5 PointsSolve the equation by factoring.
x 2 = x + 30
1. {5, 6}
2. {-5, -6}
3. {1, 30}
4. {-5, 6}
Question 42.5 PointsSolve the equation by factoring.
7 – 7x = (4x + 9)(x – 1)
3. {-1, 4}
4. {-4, 1}
Question 52.5 PointsSolve the equation using the quadratic formula.
5x 2 + x – 2 = 0
Question 62.5 PointsSolve the equation using the quadratic formula.
x 2 – 6x + 25 = 0
1. {3 – 16i, 3 + 16i}
2. {3 + 4i}
3. {-1, 7}
4. {3 – 4i, 3 + 4i}
Question 72.5 PointsSolve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) = 0.8x + 40,000. Find the cost of producing 50,000 jars.
1. $50,040
2. $40.80
3. $40,000
4. $80,000
Question 82.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 2 + 3x + x 2
Question 92.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 8 – x 2 + 2x
Question 102.5 PointsAdd or subtract as indicated and write the result in standard form.
(6 – 10i) + (7 + 7i) + (-4 – 5i)
1. 13 – 3i
2. 17 + 2i
3. 9 – 8i
4. -5 – 22i
Question 112.5 PointsAdd or subtract as indicated and write the result in standard form.
(4 + 3i) – (-8 + i)
1. -4 + 4i
2. 12 – 2i
3. 12 + 2i
4. -12 – 2i
Question 122.5 PointsFind the product and write the result in standard form.
(-9 – 3i)(2 + i)
1. -21 – 15i
2. -15 – 15i
3. -21 – 3i
4. -15 – 3i
Question 132.5 PointsComplex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula.
Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (3 + 2i) ohms.
1. (52 – 39i) volts
2. (52 + 39i) volts
3. (18 – 39i) volts
4. (18 + 39i) volts
Question 142.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
1. not a function
2. function
Question 152.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
1. not a function
2. function
Question 162.5 PointsFind the slope of the line that goes through the given points.
1. –
3. Undefined
4. –
Question 172.5 PointsFind the slope of the line that goes through the given points.
(-8, 8), (-3, 8)
1. 1
2. 0
3. 4
4. 14
Question 182.5 PointsFor the given functions f and g , find the indicated composition.
1. 83,028
2. 54,168
3. 46,317
4. 7851
Question 192.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = (x + 5) 2 + 6
Question 202.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 4 – (x – 2) 2
Question 212.5 PointsUse the given conditions to write an equation for the line in point-slope form.
Slope = , passing through (5, 7)
1. y + 7 = (x + 5)
2. y – 7 = (x – 5)
3. y = x + 5
4. x – 7 = (y – 5)
Question 222.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 3 – x 2 + 2x
1. (- 1, 4)
2. (1, – 4)
3. (1, 4)
4. (- 1, – 4)
Question 232.5 PointsFind the x-intercepts (if any) for the graph of the quadratic function.
f(x) = x 2 – 9
1. (-9, 0)
2. (3, 0)
3. (-3, 0) and (3, 0)
4. No x-intercepts
Question 242.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 7 – (x + 4) 2
1. (7, 4)
2. (4, 7)
3. (7, -4)
4. (-4, 7)
Question 252.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Passing through (5, 3) and (4, 6)
1. y = 3x + 18
2. y = mx + 18
3. y – 3 = – 3(x – 5)
4. y = – 3x + 18
Question 262.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Slope = -2, passing through (-6, 7)
1. y – 7 = -2x + 6
2. y – 7 = x + 6
3. y = -2x – 5
4. y = -2x + 5
Question 272.5 PointsDetermine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x 2 – 8x
1. 16; x 2 – 8x + 16 = (x – 4) 2
2. -16; x 2 – 8x – 16 = (x – 4) 2
3. 64; x 2 – 8x + 64 = (x – 8) 2
4. -64; x 2 – 8x – 64 = (x – 8) 2
Question 282.5 PointsSolve the equation by completing the square.
x 2 + 14x + 26 = 0
Question 292.5 PointsCompute the discriminant. Then determine the number and type of solutions for the given equation.
x 2 + 4x + 3 = 0
1. 4; two unequal real solutions
2. -28; two complex imaginary solutions
3. 0; one real solution
Question 302.5 PointsGiven functions f and g, determine the domain of f + g.
1. (- , 10) or (10, )
2. (- , )
3. (0, )
4. (- , -3) or (-3, )
Question 312.5 PointsUse the graph to determine the function’s domain and range.
1. domain: (- , )
  range: (- , )
2. domain: x = –
  range: y = 5
3. domain: (- , )
  range: y = 5
4. domain: x = –
  range: (- , )
Question 322.5 PointsGiven functions f and g, perform the indicated operations.
2. (3x + 4)(3x – 2)
4. (3x + 4)(9x – 4)
Question 332.5 PointsDetermine whether the relation is a function.
{(-8, -9), (-8, 9), (1, 3), (3, 5), (10, -9)}
1. Not a function
2. Function
Question 342.5 PointsDivide and express the result in standard form.
1. + i
2. + i
3. – – i
4. – – i
Question 352.5 PointsDivide and express the result in standard form.
1. -1 + i
2. 1 + i
3. -1 – i
4. -1 + 2i
Question 362.5 PointsGive the domain and range of the relation.
{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}
1. domain: {-3, -2, 0, 2, 4}; range: {10, 5, 1, 17}
2. domain: {10, 5, 1, 17}; range: {-3, -2, 2, 4}
3. domain: {-3, -2, 2, 4}; range: {10, 5, 1, 17}
4. domain: {10, 5, 1, 17}; range: {-3, -2, 0, 2, 4}
Question 372.5 PointsPerform the indicated operations and write the result in standard form.
Question 382.5 PointsPerform the indicated operations and write the result in standard form.
Question 392.5 PointsFind the domain of the function.
f(x) = x 2 + 8
1. [-8, )
2. (- , )
3. (- , -8) (-8, )
4. (-8, )
Question 402.5 PointsFind the domain of the function.
f(x) =
1. (- , 5) (5, )
2. (- , )
3. (- , 0) (0, )
4. (5, )

Mathematics homework help

/in Mathematics /by admin

Use the given conditions to write an equation for the line in the indicated form.
Passing through (5, 3) and perpendicular to the line whose equation is y = x + 5;
slope-intercept form
1. y = 7x – 38
2. y = – 7x + 38
3. y = – 7x – 38
4. y = – x –
Question 22.5 PointsUse the given conditions to write an equation for the line in the indicated form.
Passing through (3, 2) and parallel to the line whose equation is ;
point-slope form
1. y – 2 = 2(x – 3)
2. y = 2x
3. y – 2 = x – 3
4. y – 3 = 2(x – 2)
Question 32.5 PointsSolve the equation by factoring.
x 2 = x + 30
1. {5, 6}
2. {-5, -6}
3. {1, 30}
4. {-5, 6}
Question 42.5 PointsSolve the equation by factoring.
7 – 7x = (4x + 9)(x – 1)
3. {-1, 4}
4. {-4, 1}
Question 52.5 PointsSolve the equation using the quadratic formula.
5x 2 + x – 2 = 0
Question 62.5 PointsSolve the equation using the quadratic formula.
x 2 – 6x + 25 = 0
1. {3 – 16i, 3 + 16i}
2. {3 + 4i}
3. {-1, 7}
4. {3 – 4i, 3 + 4i}
Question 72.5 PointsSolve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) = 0.8x + 40,000. Find the cost of producing 50,000 jars.
1. $50,040
2. $40.80
3. $40,000
4. $80,000
Question 82.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 2 + 3x + x 2
Question 92.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 8 – x 2 + 2x
Question 102.5 PointsAdd or subtract as indicated and write the result in standard form.
(6 – 10i) + (7 + 7i) + (-4 – 5i)
1. 13 – 3i
2. 17 + 2i
3. 9 – 8i
4. -5 – 22i
Question 112.5 PointsAdd or subtract as indicated and write the result in standard form.
(4 + 3i) – (-8 + i)
1. -4 + 4i
2. 12 – 2i
3. 12 + 2i
4. -12 – 2i
Question 122.5 PointsFind the product and write the result in standard form.
(-9 – 3i)(2 + i)
1. -21 – 15i
2. -15 – 15i
3. -21 – 3i
4. -15 – 3i
Question 132.5 PointsComplex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula.
Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (3 + 2i) ohms.
1. (52 – 39i) volts
2. (52 + 39i) volts
3. (18 – 39i) volts
4. (18 + 39i) volts
Question 142.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
1. not a function
2. function
Question 152.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
1. not a function
2. function
Question 162.5 PointsFind the slope of the line that goes through the given points.
1. –
3. Undefined
4. –
Question 172.5 PointsFind the slope of the line that goes through the given points.
(-8, 8), (-3, 8)
1. 1
2. 0
3. 4
4. 14
Question 182.5 PointsFor the given functions f and g , find the indicated composition.
1. 83,028
2. 54,168
3. 46,317
4. 7851
Question 192.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = (x + 5) 2 + 6
Question 202.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 4 – (x – 2) 2
Question 212.5 PointsUse the given conditions to write an equation for the line in point-slope form.
Slope = , passing through (5, 7)
1. y + 7 = (x + 5)
2. y – 7 = (x – 5)
3. y = x + 5
4. x – 7 = (y – 5)
Question 222.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 3 – x 2 + 2x
1. (- 1, 4)
2. (1, – 4)
3. (1, 4)
4. (- 1, – 4)
Question 232.5 PointsFind the x-intercepts (if any) for the graph of the quadratic function.
f(x) = x 2 – 9
1. (-9, 0)
2. (3, 0)
3. (-3, 0) and (3, 0)
4. No x-intercepts
Question 242.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 7 – (x + 4) 2
1. (7, 4)
2. (4, 7)
3. (7, -4)
4. (-4, 7)
Question 252.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Passing through (5, 3) and (4, 6)
1. y = 3x + 18
2. y = mx + 18
3. y – 3 = – 3(x – 5)
4. y = – 3x + 18
Question 262.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Slope = -2, passing through (-6, 7)
1. y – 7 = -2x + 6
2. y – 7 = x + 6
3. y = -2x – 5
4. y = -2x + 5
Question 272.5 PointsDetermine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x 2 – 8x
1. 16; x 2 – 8x + 16 = (x – 4) 2
2. -16; x 2 – 8x – 16 = (x – 4) 2
3. 64; x 2 – 8x + 64 = (x – 8) 2
4. -64; x 2 – 8x – 64 = (x – 8) 2
Question 282.5 PointsSolve the equation by completing the square.
x 2 + 14x + 26 = 0
Question 292.5 PointsCompute the discriminant. Then determine the number and type of solutions for the given equation.
x 2 + 4x + 3 = 0
1. 4; two unequal real solutions
2. -28; two complex imaginary solutions
3. 0; one real solution
Question 302.5 PointsGiven functions f and g, determine the domain of f + g.
1. (- , 10) or (10, )
2. (- , )
3. (0, )
4. (- , -3) or (-3, )
Question 312.5 PointsUse the graph to determine the function’s domain and range.
1. domain: (- , )
  range: (- , )
2. domain: x = –
  range: y = 5
3. domain: (- , )
  range: y = 5
4. domain: x = –
  range: (- , )
Question 322.5 PointsGiven functions f and g, perform the indicated operations.
2. (3x + 4)(3x – 2)
4. (3x + 4)(9x – 4)
Question 332.5 PointsDetermine whether the relation is a function.
{(-8, -9), (-8, 9), (1, 3), (3, 5), (10, -9)}
1. Not a function
2. Function
Question 342.5 PointsDivide and express the result in standard form.
1. + i
2. + i
3. – – i
4. – – i
Question 352.5 PointsDivide and express the result in standard form.
1. -1 + i
2. 1 + i
3. -1 – i
4. -1 + 2i
Question 362.5 PointsGive the domain and range of the relation.
{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}
1. domain: {-3, -2, 0, 2, 4}; range: {10, 5, 1, 17}
2. domain: {10, 5, 1, 17}; range: {-3, -2, 2, 4}
3. domain: {-3, -2, 2, 4}; range: {10, 5, 1, 17}
4. domain: {10, 5, 1, 17}; range: {-3, -2, 0, 2, 4}
Question 372.5 PointsPerform the indicated operations and write the result in standard form.
Question 382.5 PointsPerform the indicated operations and write the result in standard form.
Question 392.5 PointsFind the domain of the function.
f(x) = x 2 + 8
1. [-8, )
2. (- , )
3. (- , -8) (-8, )
4. (-8, )
Question 402.5 PointsFind the domain of the function.
f(x) =
1. (- , 5) (5, )
2. (- , )
3. (- , 0) (0, )
4. (5, )

Mathematics homework help

/in Mathematics /by admin

Use the given conditions to write an equation for the line in the indicated form.
Passing through (5, 3) and perpendicular to the line whose equation is y = x + 5;
slope-intercept form
1. y = 7x – 38
2. y = – 7x + 38
3. y = – 7x – 38
4. y = – x –
Question 22.5 PointsUse the given conditions to write an equation for the line in the indicated form.
Passing through (3, 2) and parallel to the line whose equation is ;
point-slope form
1. y – 2 = 2(x – 3)
2. y = 2x
3. y – 2 = x – 3
4. y – 3 = 2(x – 2)
Question 32.5 PointsSolve the equation by factoring.
x 2 = x + 30
1. {5, 6}
2. {-5, -6}
3. {1, 30}
4. {-5, 6}
Question 42.5 PointsSolve the equation by factoring.
7 – 7x = (4x + 9)(x – 1)
3. {-1, 4}
4. {-4, 1}
Question 52.5 PointsSolve the equation using the quadratic formula.
5x 2 + x – 2 = 0
Question 62.5 PointsSolve the equation using the quadratic formula.
x 2 – 6x + 25 = 0
1. {3 – 16i, 3 + 16i}
2. {3 + 4i}
3. {-1, 7}
4. {3 – 4i, 3 + 4i}
Question 72.5 PointsSolve the problem.
The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x) = 0.8x + 40,000. Find the cost of producing 50,000 jars.
1. $50,040
2. $40.80
3. $40,000
4. $80,000
Question 82.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 2 + 3x + x 2
Question 92.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 8 – x 2 + 2x
Question 102.5 PointsAdd or subtract as indicated and write the result in standard form.
(6 – 10i) + (7 + 7i) + (-4 – 5i)
1. 13 – 3i
2. 17 + 2i
3. 9 – 8i
4. -5 – 22i
Question 112.5 PointsAdd or subtract as indicated and write the result in standard form.
(4 + 3i) – (-8 + i)
1. -4 + 4i
2. 12 – 2i
3. 12 + 2i
4. -12 – 2i
Question 122.5 PointsFind the product and write the result in standard form.
(-9 – 3i)(2 + i)
1. -21 – 15i
2. -15 – 15i
3. -21 – 3i
4. -15 – 3i
Question 132.5 PointsComplex numbers are used in electronics to describe the current in an electric circuit. Ohm’s law relates the current in a circuit, I, in amperes, the voltage of the circuit, E, in volts, and the resistance of the circuit, R, in ohms, by the formula Solve the problem using this formula.
Find E, the voltage of a circuit, if I = (18 + i) amperes and R = (3 + 2i) ohms.
1. (52 – 39i) volts
2. (52 + 39i) volts
3. (18 – 39i) volts
4. (18 + 39i) volts
Question 142.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
1. not a function
2. function
Question 152.5 PointsUse the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
1. not a function
2. function
Question 162.5 PointsFind the slope of the line that goes through the given points.
1. –
3. Undefined
4. –
Question 172.5 PointsFind the slope of the line that goes through the given points.
(-8, 8), (-3, 8)
1. 1
2. 0
3. 4
4. 14
Question 182.5 PointsFor the given functions f and g , find the indicated composition.
1. 83,028
2. 54,168
3. 46,317
4. 7851
Question 192.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = (x + 5) 2 + 6
Question 202.5 PointsUse the vertex and intercepts to sketch the graph of the quadratic function.
f(x) = 4 – (x – 2) 2
Question 212.5 PointsUse the given conditions to write an equation for the line in point-slope form.
Slope = , passing through (5, 7)
1. y + 7 = (x + 5)
2. y – 7 = (x – 5)
3. y = x + 5
4. x – 7 = (y – 5)
Question 222.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 3 – x 2 + 2x
1. (- 1, 4)
2. (1, – 4)
3. (1, 4)
4. (- 1, – 4)
Question 232.5 PointsFind the x-intercepts (if any) for the graph of the quadratic function.
f(x) = x 2 – 9
1. (-9, 0)
2. (3, 0)
3. (-3, 0) and (3, 0)
4. No x-intercepts
Question 242.5 PointsFind the coordinates of the vertex for the parabola defined by the given quadratic function.
f(x) = 7 – (x + 4) 2
1. (7, 4)
2. (4, 7)
3. (7, -4)
4. (-4, 7)
Question 252.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Passing through (5, 3) and (4, 6)
1. y = 3x + 18
2. y = mx + 18
3. y – 3 = – 3(x – 5)
4. y = – 3x + 18
Question 262.5 PointsUse the given conditions to write an equation for the line in slope-intercept form.
Slope = -2, passing through (-6, 7)
1. y – 7 = -2x + 6
2. y – 7 = x + 6
3. y = -2x – 5
4. y = -2x + 5
Question 272.5 PointsDetermine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial.
x 2 – 8x
1. 16; x 2 – 8x + 16 = (x – 4) 2
2. -16; x 2 – 8x – 16 = (x – 4) 2
3. 64; x 2 – 8x + 64 = (x – 8) 2
4. -64; x 2 – 8x – 64 = (x – 8) 2
Question 282.5 PointsSolve the equation by completing the square.
x 2 + 14x + 26 = 0
Question 292.5 PointsCompute the discriminant. Then determine the number and type of solutions for the given equation.
x 2 + 4x + 3 = 0
1. 4; two unequal real solutions
2. -28; two complex imaginary solutions
3. 0; one real solution
Question 302.5 PointsGiven functions f and g, determine the domain of f + g.
1. (- , 10) or (10, )
2. (- , )
3. (0, )
4. (- , -3) or (-3, )
Question 312.5 PointsUse the graph to determine the function’s domain and range.
1. domain: (- , )
  range: (- , )
2. domain: x = –
  range: y = 5
3. domain: (- , )
  range: y = 5
4. domain: x = –
  range: (- , )
Question 322.5 PointsGiven functions f and g, perform the indicated operations.
2. (3x + 4)(3x – 2)
4. (3x + 4)(9x – 4)
Question 332.5 PointsDetermine whether the relation is a function.
{(-8, -9), (-8, 9), (1, 3), (3, 5), (10, -9)}
1. Not a function
2. Function
Question 342.5 PointsDivide and express the result in standard form.
1. + i
2. + i
3. – – i
4. – – i
Question 352.5 PointsDivide and express the result in standard form.
1. -1 + i
2. 1 + i
3. -1 – i
4. -1 + 2i
Question 362.5 PointsGive the domain and range of the relation.
{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}
1. domain: {-3, -2, 0, 2, 4}; range: {10, 5, 1, 17}
2. domain: {10, 5, 1, 17}; range: {-3, -2, 2, 4}
3. domain: {-3, -2, 2, 4}; range: {10, 5, 1, 17}
4. domain: {10, 5, 1, 17}; range: {-3, -2, 0, 2, 4}
Question 372.5 PointsPerform the indicated operations and write the result in standard form.
Question 382.5 PointsPerform the indicated operations and write the result in standard form.
Question 392.5 PointsFind the domain of the function.
f(x) = x 2 + 8
1. [-8, )
2. (- , )
3. (- , -8) (-8, )
4. (-8, )
Question 402.5 PointsFind the domain of the function.
f(x) =
1. (- , 5) (5, )
2. (- , )
3. (- , 0) (0, )
4. (5, )

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