1 3/4 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of Nigel has butter, in cups, y, needed per dozen cookies, x. The table below shows the number of cups of butter needed based on the number of
cupcakes made.

A. Nigel can make 4 dozen cookies
B. Nigel can make 2 dozen cupcakes
C. Nigel can make 1 dozen cookies and 1 dozen cupcakes
D. Nigel’s cookie recipe requires more butter than the cupcake recipe

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

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation:

answer: 800

step-by-step explanation:

whaere is the picture

step-by-step explanation: