Find the vertex, focus, and directrix of the parabola. Graph the equation.y2 = -8x
A. vertex: (0, 0)
focus: (2, 0)
directrix: x = -2
B. vertex: (0, 0)
focus: (0, -2)
directrix: y = 2
C. vertex: (0, 0)
focus: (-2, 0)
directrix: x = 2
D. vertex: (0, 0)
focus: (0, -2)
directrix: y = 2
Answer: C
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Find the standard-form equation of the ellipse centered at the origin and satisfying the given conditions.An ellipse with a vertex at (0, 7) and a focus at (0, -3).
A. 
+ 
= 1
B. 
+ 
= 1
C. 
+ 
= 1
D. 
+ 
= 1
Solve the problem.The production level P of a factory during one time period is modeled by P(x, y) = Kx1/2y1/2 where K is a positive integer, x is the number of units of labor scheduled and y is the number of units of capital invested. If labor costs $1800/unit, capital costs $600/unit and the owner has $1,800,000 available for one time period, what amount of labor and capital would maximize production?
A. 473.7 units of labor and 1285.7 units of capital B. 500.0 units of labor and 1500.0 units of capital C. 1000.0 units of labor and 3000.0 units of capital D. 1500.0 units of labor and 500.0 units of capital
Write the rate as a unit rate.224 miles on 8 gallons of gas
A. 0.036 miles/gallon B. 1792 miles C. 232 gallons D. 28 miles/gallon
Multiply. 
A. 5.5187 B. 55.187 C. 551.87 D. 0.55187