Find the standard form of the equation of the ellipse with vertices (8, -6), (8, 10) and minor axis of length 4.

a.

b.

c.

d.


c.

Mathematics

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Factor completely. If a polynomial is prime, then state this as your answer.5x3 + x2y - 320x - 64y

A. (x - 8)(x + 8)(x + 5y) B. (x - 8)(x + 8)(x - 5y) C. (x - 8)(x + 8)(5x - y) D. (x - 8)(x + 8)(5x + y)

Mathematics

Solve the problem.Suppose that the population of a town can be approximately modeled by the formula  where t is the time in years after 1980 and P is the population of the town in thousands. Find an expression for  in terms of t.

A. dP/dt = 
B. dP/dt = 
C. dP/dt = 
D. dP/dt = 

Mathematics

Solve the problem.A person with no more than $2000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 3 times the pharmaceuticals investment. Write a system of inequalities to describe the situation. Let  to be invested in telecommunications and  to be invested in pharmaceuticals.

A. x + y = 2000 y ? 3x x ? 0 y ? 0 B. x + y ? 2000 3x ? y x ? 0 y ? 0 C. x + y ? 2000 x ? 3y x ? 0 y ? 0 D. x + y = 2000 x ? 3y x ? 0 y ? 0

Mathematics

Solve using the substitution method. Use a graphing calculator to check your answer. 4x - 7y = -243x + 5y = 64

A. (-8, 8) B. (8, 8) C. (-3, -5) D. No solution

Mathematics