Factor the difference of cubes.8p3 - (m + n)3
A. (2p - m - n)(4p2 + 2pm + 2pn + m2 + 2mn + n2)
B. (2p - m - n)(4p2 + 2pm - 2pn + m2 + n)
C. (2p - m + n)(4p2 + 2pm + 2pn + m2 + n)
D. (2p + m + n)(4p2 - 2pm - 2pn + m2 + 2mn + n2)
Answer: A
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Solve the proportion for x. =
A. x = 16 B. x = 19 C. x = 18 D. x = 17
Compute the distance between the points.(9, 6, 9), (x, y, z)
A.
B. (9 + x)2 + (6 + y)2 + (9 + z)2
C.
D. (9 - x)2 + (6 - y)2 + (9 - z)2
Solve the problem.The cost of manufacturing a molded part is related to the quantity produced during a production run. When 100 parts are produced, the cost is $300. When 400 parts are produced, the cost is $2100. Write a linear equation in point-slope form that gives the relationship between the number of parts produced and the cost of manufacturing.
A. y - 300 = 6.00(x - 100) or y - 2100 = 6.00(x - 400) B. y - 300 = 0.17(x - 100) or y - 2100 = 0.17(x - 400) C. y - 300 = 7.00(x - 100) or y - 2100 = 7.00(x - 400) D. y - 300 = 4.50(x - 100) or y - 2100 = 4.50(x - 400)
Solve the equation.-18 = b - 8
A. 26 B. 10 C. -26 D. -10