To reduce wear and tear on the family vehicle, you decide to rent a car. Happy Harry’s Rentals has a $500 fee for any rental up to eight days. Smilin’ Sam’s offers the same car for $200 plus $50 per day. Which deal is better?

Let's use 8 days as the maximum time we are going to be renting the car.

Putting that into the equation means, 500$ for Harry's Rentals and Smilin' Sam's at $600.

Therefore, Happy Harry's Rentals are better for the 7th and 8th days while Smiling Sam's are the better from day's 1 to 6.

Work:

500$ is a fixed value so it doesn't change (constant)

200 + 50x

x = days

8 days = 8x

200 + 50(8)

200 + 400 = 600

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

b. b < 1 might be the correct answer