From a thin piece of cardboard 81 in. by 81 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume?

What will be an ideal response?


54 in. by 54 in. by 13.5 in.; 39,366 in.3

Mathematics

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Graph the equation.f(x) = x2 + 5

A.

B.

C.

D.

Mathematics

Solve the problem.Suppose that the x-intercepts of the graph of y = f(x) are 4 and 5. What are the x-intercepts of 

A. -3 and -2 B. 4 and 5 C. 20 and 35 D. 11 and 12

Mathematics

Use the rational zero test to find all the rational zeros of f(x).f(x) = 4x4 + 28x3 - 33x2 - 7x + 8

A. Zeros: -1, 8, -1/2, 1/2 B. Zeros: 1, -8, 1/2, -1/2 C. Zeros: -1, -8, 1/2, -1/2 D. Zeros: 1, -8, 2, -2

Mathematics

Find the quadratic function y = f(x) that has the given vertex and whose graph passes through the given point.vertex ; passing through 

A. y = 2 - 
B. y = 2 + 
C. y = - 2 + 
D. y = - 2 - 

Mathematics