Solve the logarithmic equation.ln(3x - 2) = ln 2 - ln(x - 1)

A. ?
B.
C.
D.


Answer: C

Mathematics

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Use scientific notation to solve the problem.Suppose that we could somehow capture all the energy released by the Sun in just one second. For how many years could U.S. energy needs be met by this energy? Assume that the annual energy generation of the Sun is  joules and that U.S. annual energy consumption is 1 × 1020 joules. Give your answer in scientific notation.

A. 3.17 × 101.3 years B. 7.61 × 106 years C. 1 × 1014 years D. 3.17 × 106 years

Mathematics

Complete the square to determine the type of curve represented by the equation. : x² + 4x - 8y + 36 = 0

What will be an ideal response?

Mathematics

Simplify. (Assume all variables are nonzero.)

A. 1 B. (5x - 11)40 C. (5x - 11)6 D. (5x - 11)14

Mathematics

Solve the problem.The MetroCity tractor company is planning to produce a new tractor. For the first year, the fixed costs for setting up production are $400,000. The variable costs for producing each tractor are $15,000. The revenue for each tractor is $32,000. Find the total cost C(x) of producing x tractors.

A. C(x) = 15,000x B. C(x) = 400,000x + 15,000x C. C(x) = 32,000x + 400,000 D. C(x) = 400,000 + 15,000x

Mathematics