Multiply.(3x - y + 4z)(3x - y - 4z)
A. 9x2 - 6xy + y2 + 24xz + 8yz - 16z2
B. 9x2 + y2 + 24xz + 8yz - 16z2
C. 9x2 + y2 - 16z2
D. 9x2 - 6xy + y2 - 16z2
Answer: D
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Solve the problem.Find the average height of the paraboloid above the disk
in the
.
A.
B.
C.
D. 3
Solve the problem.The number sequence that corresponds to the figures above is 1, 5, 12, 22, . . . .These are the pentagonal numbers P1, P2, P3, P4, . . . .Use inductive reasoning to find a formula for the nth pentagonal number, Pn.
A. Pn = n(3n - 1)/2 B. Pn = 2n(n - 1) C. Pn = n(3n + 1)/2 D. Pn = 3n(n - 1)/2
Choose a variable to represent one quantity. State what that quantity represents and then express the second quantity in terms of the first.Carla and Alyssa will share the $32 prize.
A. Carla's share: c; Alyssa's share: c - 32 B. Carla's share: c; Alyssa's share: 32 - c C. Carla's share: c; Alyssa's share: 32 - 2c D. Carla's share: c; Alyssa's share: c + 32
Factor and simplify the algebraic expression.(x + 7)-1/5 + (x + 7)-6/5
A.
B. (x + 7)-1/5 + (x + 7)-6/5
C.
D. (x + 7)6/5(x + 8)