Solve the problem.A building has an entry with the shape of a parabolic arch 20 feet high and 4 feet wide at the base. Find an equation for the parabola if the vertex is placed at the origin of the coordinate system.

A. y2 = -0.8x
B. y2 = -0.2x
C. x2 = -0.8y
D. x2 = -0.2y


Answer: D

Mathematics

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Solve the problem.Suppose that candidates A and C have moderate political positions, while candidate B is quite liberal. Voter opinions about the candidates are as follows:28% want A as their first choice, but would also approve of C.40% want B as their first choice, and approve of neither A nor C.27% want C as their first choice, but would also approve of A5% want C as their first choice, and approve of neither A nor B.Which candidate wins by an approval vote?

A. A B. C C. There is a tie. D. B

Mathematics

Use the graph of f to sketch a graph of the inverse of f using a dashed curve.?

A.

B.

C.

D.

Mathematics

Solve the problem.A person with no more than $7000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 5 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 = 7000 x ? 5y x ? 0 y ? 0 B. x + y ? 7000 x ? 5y x ? 0 y ? 0 C. x + y = 7000 y ? 5x x ? 0 y ? 0 D. x + y ? 7000 5x ? y x ? 0 y ? 0

Mathematics

Use the addition formulas to derive the identity.cos  = sin x

What will be an ideal response?

Mathematics