Express as a single logarithm.3log6x + 5log6(x - 6)

A. 15 log6x(x - 6)
B. log6x(x - 6)15
C. log6x3(x - 6)5
D. log6x(x - 6)


Answer: C

Mathematics

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Evaluate the integral by making a substitution and then using a table of integrals.

A.  +  sin-1   + C
B.  -  ln   + C
C.  + ln   + C
D.  -  ln   + C

Mathematics

Provide an appropriate answer.Find  when u = 0 and v =  if z(x, y) = sin x + cos y, x = u?v, and y = u + v.

A.  = 1
B.  = 0
C.  = 2
D.  = -1

Mathematics

Write the first four elements of the sequence.

A. -1, 1, 
B. 1, 
C. 0, 
D.

Mathematics

Find the vertex, focus, and directrix of the parabola with the given equation.(x - 4)2 = 8(y + 2)

A. vertex: (4, -2)   focus: (4, 0)   directrix: y = -4 B. vertex: (4, -2)   focus: (4, -4)   directrix: x = 0 C. vertex: (-2, 4)   focus: (-2, 6)   directrix: y = 2 D. vertex: (-4, 2)   focus: (-4, 4)   directrix: y = 0

Mathematics