Yasmin is building a square coffee table to nest inside an existing table. The larger table has side lengths 2x + 6ft. The nested table will have
side lengths 1/4 the length of the existing lengths. What is the area of the new table top?
x2 +
ft2

We have been given that Yasmin is building a square coffee table to nest inside an existing table. The larger table has side lengths ft.The nested table will have  side lengths 1/4 the length of the existing lengths.

First of all, we will find side length of nested table by finding 1/4 of as:

We know that area of square is square of its side length.

Therefore, the area of nested table is square feet.

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