A rectangular sandbox is in the center of a larger rectangular back yard. The sand box measures (x+6) feet long and 5x feet wide. The yard measures (6x+7) feet long and 8x
feet wide.
What is the area of the yard that is NOT apart of the sandbox?

(43 - 26x)

Step-by-step explanation:

Area of the yard that is not pat of the sandbox = Area of the yard - Area of the sandbox

Since both the yard and the sandbox has a rectangular shape, then;

Area of a rectangle = length x width

So that,

Area of the yard = length x width

                            = (6x+7) x 8x

                            = (48 + 56x)

Area of the sandbox = length x width

                                  = (x+6) x 5x

                                  = (5 + 30x)

Thus,

Area of the yard that is not pat of the sandbox = (48 + 56x) - (5 + 30x)

                                = 48 + 56x - 5 - 30x

                                = (43 - 26x)

Area of the yard that is not pat of the sandbox is (43 - 26x) .

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

to complete this square you have to rotate about the origin 270 degrees clockwise.