Solve the problem.Find two numbers x and y such that x + y = 48 and xy2 is maximized.
A. x = 24 and y = 24
B. x = 1 and y = 47
C. x = 16 and y = 32
D. x = 12 and y = 36
Answer: C
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Provide an appropriate response. Use the law of sines to solve the triangle ABC if a = 11.8, b = 30.3, and A = 20.5°. If there are two possibilities, find both solutions. Round sides to four significant digits and angles to the nearest 0.1°.
A. c = 33.54, B = 64.1°, C = 95.4°; c = 23.24, B = 115.9°, C = 43.6° B. c = 33.54, B = 64.1°, C = 95.4° C. c = 23.24, B = 115.9°, C = 43.6° D. c = 15.99, B = 7.8°, C = 151.7°
Solve using any appropriate method. If the system has an infinite number of solutions, use set-builder notation to write the solution set. If the system has no solution, state this.3x + 5y = 23x + 5y = 8
A. (3, 5) B. (1, 1) C. No solution D. {(x, y)|3x + 5y = 2}
Provide an appropriate response.If f(x) represents the number of digital cable subscribers in a particular town and g(x) represents the number of households in the town, with x equal to the number of years from 2007, then what function represents the percent of households in the town with digital cable x years after 2007?
A. 100(f ? g)(x)
B. 100
C. (f + g)(x)
D. 100f(x)g(x)
Find approximate solutions for the equation. Round to the nearest hundredth.3.15p2 - 5.89p = 2.63
A. -2.24, 0.37 B. -0.31, 2.31 C. -0.37, 2.24 D. -0.74, 4.48