Solve the problem.Shown is the image of a figure under the two successive translations that take P to P' and then P' to P''. Find the original figure. Note again, the given figure is the image after translation. Hint: First find the final image of a point if it were translated by both translations. Then what happens in the reverse process?

A.

B.

C.

D.


Answer: D

Mathematics

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Solve the problem.The number of bacteria growing in an incubation culture increases with time according to  where x is time in days. Find the number of bacteria when x = 0 and x = 2.

A. 9500; 47,500 B. 1900; 47,500 C. 1900; 5,937,500 D. 1900; 19,000

Mathematics

Use the remainder theorem to find the remainder when f(x) is divided by the given x - k.f(x) = x2 + 2x + 5; x + 2

A. 5 B. -5 C. -3 D. -13

Mathematics

Give a rule for the piecewise-defined function. Then give the domain and range.

A. f(x) = ; Domain: (-?, 0) ? {5}, Range: (-?, ?)
B. f(x) = ; Domain: (-?, ?), Range: (-?, 0] ? {5}

C. f(x) = ; Domain: (-?, ?), Range: (-?, 0) ? {5}

D. f(x) = ; Domain: (-?, 0] ? (5), Range: (-?, ?)

Mathematics

Solve the system of equations by the substitution method. Check your solutions. For any dependent equations, write your answer in the ordered pair form.

A. {(-0.1, -0.1)} B. {(1, -1)} C. {(-1, -1)} D. ?

Mathematics