Solve by completing the square.2x2 - 4x = 30
A. 3, -5
B. -15, 1
C. -3, 10
D. -3, 5
Answer: D
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Determine whether the given relationship defines a function. If so, identify the independent and dependent variable, and why the relationship is a function.The temperature t on a backyard thermometer at 5 pm on a given day x.
A. No B. Yes; x, t; there is one temperature t on any given day x at 5 pm.
Find the vertices and foci of the given ellipse.5x2 + 7y2 = 15
A. Vertices: (
, 0) and (-
, 0);
Foci: 
and 
B. Vertices: (0, 3) and (0, -3);
Foci: 
and 
C. Vertices: (
, 0) and (-
, 0);
Foci: 
and 
D. Vertices: (0, 
) and (0, -
);
Foci: 
and 
Solve the problem.A person with no more than $3,000 to invest plans to place the money in two investments, telecommunications and pharmaceuticals. The telecommunications investment is to be no more than 4 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 = 3,000 y ? 4x x ? 0 y ? 0 B. x + y ? 3,000 4x ? y x ? 0 y ? 0 C. x + y ? 3,000 x ? 4y x ? 0 y ? 0 D. x + y = 3,000 x ? 4y x ? 0 y ? 0
Find the critical number(s), if any, of the function 
Select the correct answer.
a. ±5 b. -3 c. 3 d.± ?5