The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the parabola and its associated equation.Equation of parabola: f(x) = 3x - x2; associated equation: 0 = 3 - 2x
A. 
B. 
C. 
D. 
Answer: C
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Graph and write interval notation for the compound inequality.x ? 2 and x ? -2
A. [-2, 2)
B. (-2, 2)
C. [-2, 2]
D. (-2, 2]
Solve the problem.The value of cash for Hamilton Supplies last year was $40,000 and this year was $60,000. Find the percent increase (or decrease) in cash from last year to this year.
A. 50.0% increase B. 66.7% decrease C. 66.7% increase D. 50.0% decrease
Use the given information given to find the exact value of the trigonometric function.sin ? = - 
,
? lies in quadrant IV
Find sin 
.
A. - 
B. - 
C. 
D. - 
Use completing the square to rewrite the equation in one of the standard forms for a conic and identify the conic.6x2 - 7y2 - 12x + 42y - 99 = 0
A. (x - 3)2 + (y - 1)2 = 42; circle
B. 
- 
= 1; hyperbola
C. 
+ 
= 1; ellipse
D. (x - 1)2 + (y - 3)2 = 42; circle