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

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


Answer: D

Mathematics

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Solve the problem.Anne and Nancy use a metal alloy that is 20% copper to make jewelry. How many ounces of a 14% alloy and a 24% alloy must be mixed to form 100 ounces of the desired alloy?

A. 40 at 14% and 60 at 24% B. 70 at 14% and 30 at 24% C. 30 at 14% and 70 at 24% D. 60 at 14% and 40 at 24%

Mathematics

Use synthetic division to find the quotient and the remainder.(5x3 + 2x2 - x) ÷ (x + 2)

A. Q(x) = (5x2 + 8x - 17); R(x) = 34 B. Q(x) = (5x2 + 12x + 23); R(x) = 46 C. Q(x) = (5x2 - 8x + 15); R(x) = 30 D. Q(x) = (5x2 - 8x + 15); R(x) = -30

Mathematics

Use the given zero to find the remaining zeros of the function.f(x) = x4 - 45x2 - 196; zero: -2i

A. 2i, 14i, -14i B. 2i, 7i, -7i C. 2i, 14, -14 D. 2i, 7, -7

Mathematics

Perform the indicated operation and, if possible, simplify. ? 

A.  
B.
C.  
D.  

Mathematics