Provide an appropriate response.Solve the inequality: (2y - 1)(y + 3) ? 0

A. y ? -  or y ? 3
B. -3 ?  y ?  
C. y ? -3 or y ? 
D. -  ? y ? 3


Answer: C

Mathematics

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A. x2 + y2 + z2 + 4z = 60 B. x2 + y2 + 8 z2 + 4z = 60 C. x2 + y2 + 8 z2 - 4z = 60 D. x2 + y2 + z2 - 4z = 60

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Find all real numbers that satisfy the equation.tan (x) +  = 0

A.
B.
C.
D.

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Use the Intermediate Value Theorem to determine whether the polynomial function has a zero in the given interval.f(x) = 3x3 - 6x2 - 6x + 2; [2, 3]

A. f(2) = -10 and f(3) = -11; no B. f(2) = -10 and f(3) = 11; yes C. f(2) = 10 and f(3) = 11; no D. f(2) = 10 and f(3) = -11; yes

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Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.2 log6 (2x - 3) + 6 log6 (3x + 3)

A. log6 
B. log6 (2x - 3)2(3x + 3)6
C. 12 log6 (2x - 3)(3x + 3)
D. log6 ((2x - 3)2 + (3x + 3)6)

Mathematics