Solve the polynomial inequality.(x + 5)(x + 4)(x - 2) < 0
A. (-?, -5) ? (-4, 2)
B. (-5, -4) ? (2, ?)
C. (-?, -4)
D. (2, ?)
Answer: A
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Solve the problem.A 1,000 gallon tank is filled with pure water. A salt solution with a concentration of 11 g/gal flows into the tank at a rate of 8 gal/min. The thoroughly mixed solution is drained from the tank at a rate of 8 gal/min.(a) Write an initial value problem for the mass of the salt.(b) Solve the initial value problem.
A. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + e-0.008 B. (a) m'(t) = -0.008m + 11,000, m(0) = 1,000 (b) m = 11,000e-0.008t + 88 C. (a) m'(t) = 0.008m - 88, m(0) = 11 (b) m = -88e0.008t + 88 D. (a) m'(t) = -0.008m + 88, m(0) = 0 (b) m = -11,000e-0.008t + 11,000
Write a mathematical expression for the word phrase.Twelve is less than or equal to seventeen
A. 12 ? 17 B. 12 ? 17 C. 12 ? 17 D. 12 < 17
Solve.A cruise boat travels 12 miles downstream in 4 hours and returns to its starting point upstream in 6 hours. Find the speed of the stream.
A. 5.5 mph B. 0.5 mph C. 3 mph D. 2.5 mph
Solve the polynomial equation by factoring and then using the zero product principle.5x3 + 3x2 = 80x + 48
A. 
B. 
C. {-4, 4}
D. 