Find an equation of the line that contains the given pair of points. Write the equation in the form y = mx + b.(2, -2) and (-10, -2)
A. y = -10
B. x = 2
C. y = -2
D. x = -2
Answer: C
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Eliminate the parameter t. Find a rectangular equation for the plane curve defined by the parametric equations.x = 5 tan t, y = 4 sec t; 0 ? t ? 2?
A. 
- 
= 1; -? < x < ?
B. 
+ 
= 1; -? < x < ?
C. y = x2 - 9; -3 ? x ? 3
D. y = 4
; -? < x < ?
Provide an appropriate response.Suppose that $1000 is invested for 5 years at 4% interest, compounded annually. In what year will the most interest be earned? Why?
What will be an ideal response?
The cost of controlling emissions at a firm goes up rapidly as the amount of emissions reduced goes up. Here is a possible model.
?
?
where x is the reduction in sulfur emissions, y is the reduction in lead emissions (in pounds of pollutant per day), and C is the daily cost to the firm (in dollars) of this reduction. Government clean-air subsidies amount to $600 per pound of sulfur and $50 per pound of lead removed. How many pounds of pollutant should the firm remove each day to minimize the net cost (cost minus subsidy)?
?
A. 3.5 lb of sulfur and 2 lb of lead
B. 6 lb of sulfur and 1 lb of lead
C. 3 lb of sulfur and 1 lb of lead
D. 1.9 lb of sulfur and 3.5 lb of lead
E. 1 lb of sulfur and 3 lb of lead
Use the remainder theorem and synthetic division to find P(k).k = 2; P(x) = x6 - 2x5 + 2x4 - 2x3 - 3x2 - 3x - 7
A. 163 B. -9 C. 9 D. -8