WILL MARK AS BRAINLIST Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0

a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4

C

Step-by-step explanation:

4x-5y=0

5y=4x

y=4x/5, or rather y = (4/5)*x

k thus equals 4/5, and that is your constant of variation.

Answers: Yes, direct variation, k=4/5

50.6

step-by-step explanation:

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! : )

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