Solve the problem.From a 48-inch by 48-inch piece of metal, squares are cut out of the four corners so that the sides can then be folded up to make a box. Let x represent the length of the sides of the squares, in inches, that are cut out. Express the volume of the box as a function of x.
A. V(x) = 2x3 - 144x2 + 48x
B. V(x) = 2x3 - 144x2
C. V(x) = 4x3 - 192x2
D. V(x) = 4x3 - 192x2 + 2,304x
Answer: D
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Solve the problem.A rectangular enclosure must have an area of at least 4200 yd2. If 260 yd of fencing is to be used, and the width cannot exceed the length, within what limits must the width of the enclosure lie?
A. 65 ? w ? 70 (yards) B. 60 ? w ? 65 (yards) C. 0 ? w ? 60 (yards) D. 60 ? w ? 70 (yards)
Graph the quadratic function using its vertex, axis of symmetry, and intercepts.f(x) = x2 - 6x + 8
A. vertex (3, 1)
intercepts (4, 0), (2, 0), (0, -8)
B. vertex (-3, 1)
intercepts (-4, 0), (- 2, 0), (0, -8)
C. vertex (-3, -1)
intercepts (-4, 0), (- 2, 0), (0, 8)
D. vertex (3, -1)
intercepts (4, 0), (2, 0), (0, 8)
Explain why the function is not a polynomial function.f(x) = x2 - 7 + 9
Fill in the blank(s) with the appropriate word(s).
Simplify. Assume that all variables represent positive numbers.
A.
B. 1
C.
D.