Factor completely. If the polynomial cannot be factored, say it is prime.6(x - 2)2 - 2(x - 2) - 28

A. (3x + 9)(2x + 6)
B. (3x + 10)(2x + 11)
C. (3x + 7)(2x + 4)
D. (3x - 13)(2x - 0)


Answer: D

Mathematics

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Write the first four terms of the binomial expansion.(x + 6)20

A. x20 + 1140x19 + 6840x18 + 246,240x17 B. x20 + 6840x19 + 6840x18 + 492,480x17 C. x20 + 120x19 + 6840x18 + 41,040x17 D. x20 + 120x19 + 6840x18 + 246,240x17

Mathematics

Solve the problem. Write ratios in lowest terms.Jim's house is built on a 3 -acre plot of land. Jane's house sits on a 2-acre piece of land. Find the ratio of the size of Jim's land to the size of Jane's land.

A.
B.  
C.  
D.  

Mathematics

Rewrite the quadratic equation in the form ax2 + bx + c = 0, then identify a, b, and c. x2 = x + 1

A. = , b = , c = -1
B. = , b = - , c = 1
C. = , b = - , c = -1
D. = , b = , c = 1

Mathematics

Solve the problem.The production function for a certain country is z = x0.6y0.7, where x stands for units of labor and y for units of capital. At present, x is 40 and y is 54. Use differentials to estimate the change in z if x becomes 43 and y becomes 58.

A. 14.46 B. 12.52 C. 16.69 D. 14.76

Mathematics