Cumulative Exam — Cumulative exam Answers

What is the difference of the polynomials?(5x3 + 4x2) – (6x2 – 2x – 9)

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

Angle KLM and angle MLN are a linear pair.

What is the domain of the square root function graphed below?

The graph of f(x) = 4x3 – 13x2 + 9x + 2 is shown below. How many roots of f(x) are rational numbers?

Simplify the expression –3(x + 3)2 – 3 + 3x. What is the simplified expression in standard form?

Triangle ABC is isosceles.

The tile along the edge of a triangular community pool needs to be replaced.

Half of the product of two consecutive numbers is 105. Which equation can be used to solve for n, the smaller of the two numbers?