Solve the problem. Round your answer, if appropriate.A surveyor measured the length of a piece of land at 100-ft intervals (x), as shown in the table. Use the trapezoidal rule to estimate the area of the piece of land in square feet.
A. 29,500 ft2
B. 24,500 ft2
C. 25,000 ft2
D. 24,000 ft2
Answer: B
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Solve the problem.Rachel's bus leaves at 7:25 PM and accelerates at the rate of 3 meters per second per second. Rachel, who can run 8 meters per second, arrives at the bus station 3 seconds after the bus has left. Find parametric equations that describe the motions of the bus and Rachel as a function of time. Determine algebraically whether Rachel will catch the bus. If so, when?
A. Bus: x1 = 
t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel will catch the bus at 7:30 PM
B. Bus: x1 = 
t2, y1 = 2; Rachel: x2 = 8(t - 3), y2 = 4
Rachel won't catch the bus.
C. Bus: x1 = 3t2, y1 = 2; Rachel: x2 = 4(t - 3), y2 = 4
Rachel will catch the bus at 7:29 PM
D. Bus: x1 = 
t2, y1 = 2; Rachel: x2 = 8(t + 3), y2 = 4
Rachel won't catch the bus.
Solve the problem.A parallelogram has an area of 3x2 + 4x - 95. Use factoring to rewrite this expression.
A. (3x - 19)(x - 5) B. (3x + 19)(x - 5) C. (3x + 19)(x + 5) D. (3x - 19)(x + 5)
Simplify.If P(x) = -9x + 2 and Q(x) = 3x2 + 6x + 6, find P(x) - Q(x).
A. -3x2 - 15x + 4 B. 3x2 - 15x - 4 C. -3x2 + 15x - 4 D. -3x2 - 15x - 4
Factor.u2 - 5uv - 50v2
A. (u - 5v)(u + v) B. (u - v)(u + 10v) C. (u + 5v)(u - 10v) D. (u - 5v)(u + 10v)