Use the rules for exponents to rewrite the expression and then evaluate the new expression. 

A. -14
B. -5
C. 0
D. 1


Answer: D

Mathematics

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Given the graph of the function f(x) = -x3 + 3x; find a formula for g(x) .f(x) = -x3 + 3xg(x) =?

A. g(x) = -x3 + 3x - 2 B. g(x) = -x3 + 3x + 2 C. g(x) = -(x - 2)3 + 3(x - 2) D. g(x) = -(x + 2)3 + 3(x + 2)

Mathematics

Solve the problem.If f(x) = x2 + 4 and g(x) = 2x - a, find a so that the graph of f ? g crosses the y-axis at 36.

Fill in the blank(s) with the appropriate word(s).

Mathematics

Find the center, transverse axis, vertices, foci, and asymptotes of the hyperbola.64y2 - 36x2 = 2304

A. center at (0, 0)
transverse axis is x-axis
vertices: (-6, 0), (6, 0)  
foci: (-8, 0), (8, 0)
asymptotes of y = -  and y = 
B. center at (0, 0)
transverse axis is y-axis
vertices at (0, -6) and (0, 6)  
foci at (0, - 10) and (0, 10)
asymptotes of y = -  and y = 
C. center at (0, 0)
transverse axis is x-axis
vertices: (-8, 0), (8, 0)  
foci: (- 10, 0) , (10, 0)
asymptotes of y = -  and y = 
D. center at (0, 0)
transverse axis is y-axis
vertices: (0, -6), (0, 6)  
foci: (- 10, 0) , (10, 0)
asymptotes of y = -  and y = 

Mathematics

Find the sum.

A. - 
B. - 
C. - 
D. - 

Mathematics