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
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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
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
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: (-?, ?)
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. ?