Find the quotient.(x3 + 125) ÷ (x + 5)

A. x2 - 5x + 25
B. x2 - 25x + 5
C. x2 + 25
D. x2 - 5


Answer: A

Mathematics

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Indicate whether the equation represents direct variation, inverse variation, or neither. If it is a variation equation, identify the constant of proportionality.xy = 12

A. inverse variation; k = 12
B. neither
C. inverse variation; k = 
D. direct variation; k = 12

Mathematics

When money is spent on goods and services, those that receive the money also spend some of it. The people receiving some of the twice-spent money will spend some of that, and so on. Economists call this chain reaction the multiplier effect. In a hypothetical isolated community, the local government begins the process by spending D dollars. Suppose that each recipient of spent money spends 100c% and saves 100s% of the money that he or she receives. The values c and s are called the marginal propensity to consume and the marginal propensity to save and, of course, c+s=1. The number k = 1/s is called the multiplier. What is the multiplier if the marginal propensity to consume is 90%?

Select the correct answer. a. 4 b. 3 c. 6 d. 7 e. 10

Mathematics

Use the discriminant to find what type of solutions (two rational, two irrational, one rational, or two nonreal complex) each of the following equations has. Do not solve the equation.9x2 + 12x + 4 = 0

A. one rational solution B. two nonreal complex solutions C. two irrational solutions D. two rational solutions

Mathematics

Find the total differential of the function . ?

A.
B. ?
C. ?
D. ?
E. ?

Mathematics