Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.log6 12 + log6 3

A. 2log6 6
B. log6 36
C. log6 15
D. 2


Answer: D

Mathematics

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Use the two steps for solving a linear programming problem to solve the problem.Suppose that Janine desires 46 grams of protein and 38 grams of dietary fiber daily. One serving of kidney beans has 8 grams of protein and 6 grams of dietary fiber. One serving of refried pinto beans has 6 grams of protein and 6 grams of dietary fiber. If a serving of kidney beans costs $0.45 and a serving of refried pinto beans costs $0.35, then how many servings of each should Janine eat to minimize cost and still meet her requirements?

A.  servings of refried pinto beans and no kidney beans
B. 4 servings of refried pinto beans and  servings of kidney beans
C.  servings of kidney beans and no refried pinto beans
D.  servings of refried pinto beans and 4 servings of kidney beans

Mathematics

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability.Both marbles are red.

A.
B.
C.
D.

Mathematics

Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function.The balance b in a checking account on a given day x.

A. Yes; x, b; there is one balance b on a given day x. B. No

Mathematics

Solve the equation by completing the square.x2 + 14x + 26 = 0

A. {7 + }
B. {-14 + }
C. {7 -  , 7 + }
D. {-7 -  , -7 + }

Mathematics