Use the product, quotient, and power rules of logarithms to rewrite the expression as a single logarithm. Assume that all variables represent positive real numbers.log4 6 - log4 a

A. log4 (6 - a)
B. log4 
C. log4 
D. log8 


Answer: C

Mathematics

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Write the quotient in the form a + bi.

A. 1 + 2i
B. 1 - 2i
C.  - i
D.  + i

Mathematics

Begin by graphing the standard absolute value function f(x) = . Then use transformations of this graph to graph the given function.g(x) =  - 3

A.

B.

C.

D.

Mathematics

Solve the problem.An urn contains two red (R) balls and six blue (B) balls. Balls are drawn randomly, in succession, and without replacement until a blue ball is drawn.(a) Draw a tree diagram that summarizes all possible selections and label it with appropriate probabilities.(b) Find the probability that the number of balls drawn is two.(c) Find the probability that the number of balls selected is three.

What will be an ideal response?

Mathematics

Find the partial derivative.f(x, y) = x ln (9x + 4y). Find .

A. fx(x, y) =  + ln (9x + 4y)
B. fx(x, y) = 
C. fx(x, y) = ln (9x + 4y)
D. fx(x, y) = ln (9x + 4y) + 

Mathematics