Factor by grouping.20x2 - 16x - 15x + 12

A. (4x + 3)(5x + 4)
B. (20x - 3)(x - 4)
C. (20x + 3)(x + 4)
D. (4x - 3)(5x - 4)


Answer: D

Mathematics

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Write the compound statement in words.Let r = "The puppy is trained."   p = "The puppy behaves well."  q = "His owners are happy."(r ? p) ? q

A. If the puppy is trained or the puppy behaves well, then his owners are happy. B. If the puppy is trained and the puppy behaves well, then his owners are happy. C. If the puppy is trained, then the puppy behaves well and his owners are happy. D. The puppy is trained and the puppy behaves well if his owners are happy.

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Use the discriminant to determine the number and nature of the solutions to the quadratic equation. Do not solve the equation.x2 - 2x + 4 = 0

A. two nonreal solutions B. two real solutions C. exactly one real solution

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Solve the problem.A manufacturer's cost is given by C = 100  + 200, where C is the cost and n is the number of parts produced. How many parts are produced when the cost is $2200?

A. 64,000 B. 8000 C. 2000 D. 400

Mathematics

Find the asymptotes of the hyperbola.x2 - y2 + 6x + 4y - 11 = 0

A. y - 3 = (x + 2) and y - 3 = - (x + 2)
B. y - 2 = (x + 3) and y - 2 = - (x + 3)
C. y - 2 = (x + 3) and y - 2 = - (x + 3)
D. y + 3 = (x - 2) and y + 3 = - (x - 2)

Mathematics