Express as a sum of logarithms.log4(12x)

A. log412 + log4x
B. log212 - log2x
C. log212 + log2x
D. log412 - log4x


Answer: A

Mathematics

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Use a finite approximation to estimate the area under the graph of the given function on the stated interval as instructed.f(x) = 1 - x2 between x = -1 and x = 1 using the "midpoint rule" with two rectangles of equal width.

A. 1.5 B. 0.75 C. 2 D. 0.5

Mathematics

Use the given growth rate to find the approximate doubling time and to predict the population in 50 years of a growing suburban town (based on a current population of 100,000).Use the current annual growth rate which is about 2.8%.

A. 27 years; population in 50 years = 527,803 B. 35 years; population in 50 years = 303,143 C. 20 years; population in 50 years = 229,740 D. 25 years; population in 50 years = 400,000

Mathematics

Solve the system by the method of your choice. Identify systems with no solution and systems with infinitely many solutions, using set notation to express their solution sets.x + y = 7x + y = 3

A. {(7, 3)}
B. {(0, 10)}
C. { x + y = 7}
D. ?

Mathematics

Find the standard form of the equation of the hyperbola satisfying the given conditions.Center: (9, 7); Focus: (5, 7); Vertex: (8, 7)

A.  - (y - 9)2 = 1
B. (x - 7)2 -  = 1
C.  - (y - 7)2 = 1
D. (x - 9)2 -  = 1

Mathematics