Solve the equation by completing the square.k2 = - 8k - 12

A. -2, -6 
B. ± 2
C. 2, 6 
D. 18, -6


Answer: A

Mathematics

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Given the polynomial function f(x), find the rational zeros, then the other zeros (that is, solve the equation ), and factor f(x) into linear factors.f(x) = x4 + 12x3 + 31x2 - 12x - 32

A. -8, -4, 1, multiplicity 2; f(x) = (x + 8)(x + 4)(x - 1)2 B. -4, -1, 1, 8; f(x) = (x + 4)(x + 1)(x - 1)(x - 8) C. -1, 1, 4, 8; f(x) = (x + 1)(x - 1)(x - 4)(x - 8) D. -8, -4, -1, 1; f(x) = (x + 8)(x + 4)(x + 1)(x - 1)

Mathematics

Select the more reasonable temperature for the item.Hot bath water96°C96°F

A. 96°C B. 96°F

Mathematics

An object moves in simple harmonic motion described by the given equation, where t is measured in seconds and d in meters . Find the maximum displacement, the frequency, and the time required for one cycle.d = 4 cos 5t meters

A. displacement = 4 meters; period = 5 ? seconds; f =  oscillations/second
B. displacement = 4 meters; period =  seconds; f =  ? oscillations/second
C. displacement = -4 meters; period =  ? seconds; f =  oscillations/second
D. displacement = 4 meters; period =  ? seconds; f =  oscillations/second

Mathematics

Answer the question.Explain how to add rational expressions with different denominators.

What will be an ideal response?

Mathematics