Write as a single logarithm.log2 (x - 4) - log2 (x - 2)

A. log2 
B. log2 (x2 - 6x + 8)
C. log2 -2
D. log2 


Answer: A

Mathematics

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Find the open intervals on which the function is increasing and decreasing. Identify the function's local and absolute extreme values, if any, saying where they occur.

A. increasing on (-3, 0); decreasing on (-5, -3) and (2, 5) absolute maximum at (-5, 3); local maximum at (0, 0) and (2, 0);  absolute minimum at (5, -3) B. increasing on (-3, 1); decreasing on (-5, -3) and (0, 5) absolute maximum at (-5, 3); no absolute minimum C. increasing on (-3, 0); decreasing on [-5, -3) and (2, 5] absolute maximum at (-5, 3); absolute minimum at (5, -3) D. increasing on (-3, 0); decreasing on (-5, -3) and (2, 5) absolute maximum at (-5, 3); local minimum at (-3, -3) and (5, -3)

Mathematics

Solve the problem.The formula for the up-and-down motion of a weight on a spring is given byS = a sin twhere a is the radius of the circle, k is the spring constant, m is the mass, and t is the time. Solve the equation for t.

A. t =  sin 
B. t =  arcsin 
C. t =  arcsin 
D. t =  sin 

Mathematics

Insert <, >, or = to make the statement true.-8.4    -9.0

A. > B. = C. <

Mathematics

Perform the division.

A.  x2 + 6x - 1 B. x2 C. x2 + 1 D. x2 - 1

Mathematics