Cumulative Exam — Cumulative exam Answers

The function f(x) = 0.5x + 3 is used to estimate the number of pounds of potatoes a caterer plans to make depending on the number of people being served, x. The mathematical domain for the function is the set of real numbers.

Which two functions are inverses of each other?

Which expression is equivalent to 2x2 – 2x + 7?

Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation?

The relationship between voltage E, current I, and resistance Z is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?

The graph of which function has an axis of symmetry at x = ?

Which graph represents the same relation as the rule y = 2x, for all real numbers x?

What is the product?

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

At a farmer’s market, a basket of strawberries costs $20 and a basket of peaches costs $18. On Saturday, 23 baskets were sold and $430 collected. If x represents the number of baskets of strawberries and y represents the number of baskets of peaches, how many baskets of peaches were sold on Saturday?

Which of the following graphs represents a function?

Which graph shows the solution to the system of inequalities below?

What is the product?

Which expression is a perfect cube?

Which classification describes the following system of equations?

Marguerite wants to rent a carpet cleaner. Company A rents a carpet cleaner for $15 per day. Company B rents a carpet cleaner for $100 per week, with a one-time fee of $5.The following functions represent the rate structures of the two rental companies:x = the number of weeks Company Af(x) = 15(7x)Company Bg(x) = 100x + 5The function h(x) = f(x) – g(x) represents the difference between the two rate structures.Determine which statements about h(x) and about renting a carpet cleaner are true. Check all that apply.If Marguerite rents for 2 weeks, it will cost her more if she rents from Company B.If Marguerite rents for 2 weeks, it will cost her less if she rents from Company B.If Marguerite rents for 1 week, it will cost her the same at either company.If Marguerite rents for 1 week, it will cost her more if she rents from Company A.h(x) = 5x – 5h(x) = 5x + 5

The monomial 36x4 is a perfect square. What is the square root of 36x4?

If is the inverse of and , what is ?

Which expression is a difference of squares with a factor of 5x − 8?

Which statement describes the system of equations?