Use the properties of logarithms to find the value of the expression.Let logb A = 3 and logb B = -4. Find logb B2.

A. 16
B. 6
C. -8
D. -16


Answer: C

Mathematics

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Solve the problem.A window is in the form of a rectangle surmounted by a semicircle. The rectangle is of clear glass, whereas the semicircle is of tinted glass that transmits only one-third as much light per unit area as clear glass does. The total perimeter is fixed. Find the proportions of the window that will admit the most light. Neglect the thickness of the frame.

A.  = 
B.  = 
C.  = 
D.  = 

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Multiply. Leave the answer in trigonometric form. ? ?

A.
B.
C.
D.
E.

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Find the range of the quadratic function.f(x) = x2 - 2x + 9

A. (-?, 8] B. (-?, 6] C. [-1, ?) D. [8, ?)

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Give the largest interval where the function increases or decreases, as requested.f(x) = (x + 3)2 + 5; increases

A. (-3, ?) B. (5, ?) C. (-?, 5) D. (-?, -3)

Mathematics