Mathematics Homework Help

1)Explain why a number(s) must be excluded from the domain of a rational expression and how to determine which numbers must be excluded. You will need to provide a worked out example with your explanation.
The answer must be explained in detail using the correct vocabulary to receive full credit.

2)Pythagorean Theorem.. A rectangular park is 8 miles long and 6 miles wide. How long is a pedestrian route that runs diagonally across the park?In this discussion, you will need to provide the solution to the problem explaining the intermediate steps you used in the process.

3)Modeling with Equations.. You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be before you and your sister have the same amount of money? What amount would you have the same?You must include the equation and the intermediate steps used to arrive at the answer.

4)Slope-Intercept Form.. A formula in the form y = mx + b models the value, y, of a new car x years after the initial purchase in 2017. Would you expect m to positive, negative, or zero? The answer must be explained in detail using the correct vocabulary to receive full credit.

5)Systems of Equations.. Tom and Jerry are selling fruit for a charity fundraiser. Customers can buy small boxes of oranges and large boxes of oranges. Tom sold 3 small boxes of oranges and 14 large boxes of oranges for a total of $203. Jerry sold 11 small boxes of oranges and 11 large boxes of oranges for a total of $220. Find the cost each of one small box of oranges and one large box of oranges. Students must use equations to solve the problem. You must include the equations and the intermediate steps used to arrive at the answers.