Find the quotient and check. 

A.
B.
C.
D.
E.


Answer: B

Mathematics

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Determine if the given function y = f(x) is a solution of the accompanying differential equation.Differential equation: y' = e- 5x - 5yInitial condition: y(- 5) = 0Solution candidate: y = (x + 5)e- 5x

A. No B. Yes

Mathematics

Simplify the expression. Assume that all variables are positive when they appear.

A. ±4 B. 4 C. 8 D. 16

Mathematics

Solve the problem.Suppose that a sales person observes that if an item is priced at $10 per item then 5 items are sold. If 3 items are sold for $12 per item then find an equation to model the number of items sold (y) for x dollars per item.

A. y = -x + 15 B. y = -x - 5 C. y = x + 15 D. y = x - 5

Mathematics

Solve the problem. A reasonable quadratic model for the population of a certain city is found to be    where B(t) is the population (in thousands) of the city in the year that is t years since 2012. A reasonable quadratic model for the number of residents of that city who were born outside the United States is  where F(t) is the number (in thousands) of foreign-born residents of the city in the year that is t years since 2012. Let P(t) be percentage of residents of the city who were born outside the United States in the year that is t years since 2012. An

equation for P is P(t) =  . Use P to predict when the city will have 13.4% foreign-born residents.

A. 2026
B. 2028
C. 2025
D. 2027

Mathematics