The volume of a box is 400 in.^3in. 3 . The height is 5 in. What is the area of the base of the box? A 80 in. B 80 in.^2in. 2 C 8 in. D 8 in.^2in. 2

Option B

80 in²

Step-by-step explanation:

Volume, V of any shape is the product of cross-sectional area and height. Therefore, V=Ah

Where A is the cross sectional area and h is the height.

Making A the subject of the formula then

A=V/h or V÷h

Substituting 400 in³ for V and 5 in for h then

A=400 in³÷5 in=80 in²

Therefore, the area of base is 80 in²

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

27/4x^6 y^8

step-by-step explanation:

4(3x^2y^4)^3 (2x^3y^5)^4

=

108x^6 y^12 /16x^12 y^20

=

108 /16x^6 y^8

=

27 /4x^6 y^8