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.[3 ln (x + 6) - ln x - ln(x2 - 1)]

A. ln 
B. ln 
C. ln 
D. ln 


Answer: D

Mathematics

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Graph the function and find the indicated limit.Graph the function f(x) and find f(x) or state that it does not exist.f(x) = 

A.

f(x) does not exist
B.

f(x) = - 1
C.

f(x) does not exist
D.

f(x) = - 1

Mathematics

Solve.Two forces of 37 and 45 N (newtons) act on an object at right angles. Find the magnitude of the resultant and the angle that it makes with the smaller force.

A. 58 N, 56° B. 58 N, 51° C. 58 N, 39° D. 3394 N, 51°

Mathematics

Find the numerical value of the expression for  and 3x2 + 8x

A. a) 80 b) 1116 B. a) 56 b) 252 C. a) 16 b) 828 D. a) 44 b) 198

Mathematics

Solve the problem.The number of VHS movie rentals has declined since the year 2000 due to the popularity of DVDs, as the following table shows. Use a graphing calculator to determine the exponential regression equation that best fits the VHS rental data. Let x represent the number of years since 2000.

A. y = 9.79(0.08213)x B. y = 9.79(0.8213)x C. y = 9.75(0.8197)x D. y = 9.75(0.08197)x

Mathematics