Please Answer All!! I really need this


1. The first container Mr. Clark constructs will be used to ship baseballs. It will have a width of x
ft, a length of (x+6) ft and a height of (x 2) ft. Its volume will be 165 ft3. Write a function V
for the volume of the container. Then find one possible width for the container.


2. Are there any other possible widths for the container? Explain.


3. Mr. Clark builds a second, larger container to ship basketballs. The volume V (in cubic feet) of the container is a function of some unknown value x, where V(x) = x² + 11x + 4x + 44.

a. List all the roots of the function V(x) = x² + 11x² + 4x + 44. Explain how you know
you have found all the roots.

b. Mr. Clark needs to ship boxes of basketballs in this larger container. These boxes haven't been constructed yet, but he knows that their volume in terms of x will be (x-2) ft³. How many basketball boxes, in terms of x, can Mr. Clark fit in the new container?

c. Mr. Clark finds out that the function for the volume of the second container has to
change because the unknown value x is increased by 2. Use a graphing calculator to graph V(x) and V(x + 2). Draw a sketch of the graphs. How are the graphs different?


4. Mr. Clark wants to build a third container to ship footballs. The container will be a cube with
sides of length (x + 2)² ft. Write the volume of the container in terms of x as an expanded
polynomial.