Replace the polar equation with an equivalent Cartesian equation.r = 
A. 
+ 
= 1
B. 2y - 5x = 1
C. 2x - 5y = 1
D. 
= 1
Answer: C
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Divide and simplify.
÷ 
A. (z - 6)(z + 7)
B. 
C. 
D. 
Find the intervals on which the function is increasing and the intervals on which the function is decreasing.f(x) = -3x2 + 12x + 36
A. Increasing on (-?, 0); decreasing on (0, -?) B. Increasing on (-2, ?); decreasing on (-?, -2) C. Increasing on (-?, -2); decreasing on (-2, -?) D. Increasing on (-?, 2); decreasing on (2, -?)
Solve the system of equations.
A. inconsistent (no solution) B. x = 3, y = -5, z = -2 C. x = -2, y = 3, z = -5 D. x = -2, y = -5, z = 3
The San Francisco cable cars travel by clamping onto a steel cable that circulates in a channel beneath the streets. This cable is driven by a large 14-foot-diameter pulley, called a sheave (see the figure). The sheave turns at a rate of 17 revolutions per minute. Find the speed of the cable car, in miles per hour (rounded to three significant digits), by determining the linear velocity of the cable. (1 mi = 5,280 ft).
?
?
A. 8.92 mph B. 8.78 mph C. 8.50 mph D. 7.65 mph E. 7.93 mph