Simplify. Write the expression as a single logarithm with a coefficient of 1.log6(x + 4) - log6(x + 7)

A. log6
B. log6(x2 + 11x + 28)
C. log6(-3)
D. log6


Answer: D

Mathematics

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Calculate the derivative of the function. Then find the value of the derivative as specified.t =1 if r = 

A.  = - t =1
 = - 
B.  = t =1
 = 
C.  = t =1
 = 
D.  = - t =1
 = - 

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Decide whether or not the given equation is an identity.cos(90° - x) = sin x

A. Yes B. No

Mathematics

Solve the problem.The graph of y (solid line) and four other functions (dashed patterns) are shown. Which of the four functions is the graph of the derivative of y?  

A. I B. II C. III D. IV

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Find the vertex, focus, and directrix of the parabola with the given equation.(y - 4)2 = -16(x - 1)

A. vertex: (4, 1)   focus: (0, 1)   directrix: x = 8 B. vertex: (-1, -4)   focus: (-5, -4)   directrix: x = 3 C. vertex: (1, 4)   focus: (-3, 4)   directrix: x = 5 D. vertex: (1, 4)   focus: (5, 4)   directrix: x = -3

Mathematics