What is the volume of this container?

Given:

Container in the shape of two rectangular prism.

To find:

The volume of the container.

Solution:

The clear image of the container is attached below.

Larger rectangular prism:

Volume = length × width × height

             = 8 × 5 × 10

             = 400

Volume of larger rectangular prism = 400 in³

Smaller rectangular prism:

Volume = length × width × height

             = 4 × 4 × 5

             = 80

Volume of smaller rectangular prism = 80 in³

Volume of container = Volume of larger prism + Volume of smaller prism

                                  = 400 in³ + 80 in³

                                  = 480 in³

The volume of the container is 480 in³.

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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