Ralphie uses a boat to move merchandise between two shipping ports. The boat can hold no more than 2,016 kilograms of merchandise. Ralphie already has 1,526 kilograms of merchandise loaded onto the boat and wants to load more boxes of merchandise that weigh 67 kilograms each. Which of the following inequalities could be used to solve for x, the number of boxes of merchandise that can still be loaded onto the boat? A. 67x - 1,526 < 2,016
B.67x < 1,526
C.67x + 1,526 < 2,016
D.67x < 2,016

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