Solve the problem.Explain how the graph of y = log2  can be obtained from the graph of y = log2 x.

What will be an ideal response?


The graph is shifted down by log2 3 units. log2  = log2 x - log2 3, since the log of q quotient is the difference of the logs.

Mathematics

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Factor completely.3x2 - 18x + 27

A. 3(x - 9)(x + 1) B. Prime C. (3x - 9)(x - 3) D. 3(x - 3)(x - 3)

Mathematics

Demographic data for a hypothetical state is given. Use the information to solve the problem. A state has 20 representatives and a population of 16 million; party affiliations are 70% Republican and 30% Democrat. If districts could be drawn without restriction (unlimited gerrymandering), what would be the maximum and minimum number of Republican representatives who could be sent to Congress?

A. 19, 8 B. 20, 9 C. 19, 9 D. 20, 10

Mathematics

Solve the problem.On a sunny day, a tree and its shadow form the sides of a right triangle. If the hypotenuse is 50 m long and the tree is 40 m tall, how long is the shadow?

A. 64 m B. 100 m C. 30 m D. 90 m

Mathematics

Find the effective rate of interest.6% compounded quarterly

A. 6.123% B. 6.905% C. 6.136% D. 6.205%

Mathematics