Multiply the expression geometrically and symbolically.(x + 3)(x + 2)
What will be an ideal response?
(x + 3)(x + 2) = x2 + 5x + 6
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Solve.From a 40-inch by 40-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. Give the function and state its domain.
A. V = 4x3 - 160x2 + 1600x: x < 40 B. V = 4x3 - 160x2 + 1600x: 0 < x < 20 C. V = 2x3 - 120x2 + 40x: 0 < x < 20 D. V = 2x3 - 120x2 + 1600x: x >0
Solve and graph the inequality. Give answer in interval notation.-14 < -3x + 4 ? -2
A. [2, 6)
B. (-6, -2]
C. [-6, -2)
D. (2, 6]
Use a Venn diagram to decide if the statement is true or false.(A ? B) ? (A ? C) = A ? (B ? C)
A. True B. False
Use the cost equation C = 800 + 0.04x + 0.002x² to find the number of units x that a manufacturer can produce when C = 1300. Round answer to the nearest whole unit.
a. 511 units b. 503 units c. 490 units d. 482 units e. 476 units