In the given pair of polynomials, the second polynomial is a factor of the first. Factor the first polynomial completely.x3 + 7x2 + 14x + 8; x + 1
A. (x + 1)(x2 + 6x + 8)
B. (x + 1)(x2 - 6x + 8)
C. (x + 1)(x - 2)(x - 4)
D. (x + 1)(x + 2)(x + 4)
Answer: D
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Solve the problem.The production level P of a factory during one time period is modeled by P(x, y) = Kx1/2y1/2 where K is a positive integer, x is the number of units of labor scheduled and y is the number of units of capital invested. If labor costs $1800/unit, capital costs $600/unit and the owner has $1,800,000 available for one time period, what amount of labor and capital would maximize production?
A. 473.7 units of labor and 1285.7 units of capital B. 500.0 units of labor and 1500.0 units of capital C. 1000.0 units of labor and 3000.0 units of capital D. 1500.0 units of labor and 500.0 units of capital
Classify the number as one or more of the following: whole number, integer, rational number, irrational number, or real number.
A. Rational number B. Rational number, real number C. Rational number, irrational number, real number D. Real number
Find the product.-11(-11)
A. -121 B. 121 C. 131 D. -131
Write and solve an equation to answer the question. Round your answer to the nearest whole number, if necessary.566 animals is 11.3% of what number of animals?
A. 1 B. 50,090 C. 5009 D. 500,900