Use the properties of logarithms to solve.logb(x + 3) + logb x = logb 54

A. 6
B. -6
C. -6, -3
D. 3

Answer: A

Mathematics

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For what values of x does the series converge absolutely?

A. x > 
B. -  < x < 
C. 0 < x < 
D. None

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Evaluate the integral using the given substitution. dy , u = y6 + 3y3 + 2

A. (y6 + 3y3 + 2)4 + C
B. (y6 + 3y3 + 2)4(10y4 + 6y) + C
C. (y6 + 3y3 + 2)4 + C
D. 21(y6 + 3y3 + 2)2 + C

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Mathematics

Solve the problem.The line graph shows the cost of inflation. What cost $10,000 in 1980 would cost the amount shown by the graph in subsequent years. Below are two mathematical models for the data shown in the graph. In each formula, C represents the cost x years after 1985 of what cost $10,000 in 1980. Model 1: C = 798x + 22,521 Model 2:  C = -x2 + 820x + 23,017Which model is a better description for the cost in 2005 of what cost $10,000 in 1980?

A. Model 1 B. Model 2

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Mathematics

Find possible value(s) of ? in the interval [0°, 360°) with the given trigonometric function value.cot ? = 1

A. 135°; 225° B. 45°; 315° C. 225°; 315° D. 45°; 225°

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Mathematics