Solve for the requested variable without determining the constant of variation, k. Use the fact that if
and
then
so that
Assuming that y varies directly as the square root of x, and y = 8 when x = 25, find y when x = 1.
A. y =
B. y = 40
C. y =
D. y = 200
Answer: C
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Use the graph to find the vertex, the axis of symmetry, and the maximum or minimum value of the function.
A. (-1, -2); x = -1; minimum: 2 B. (-1, 2); x = -1; minimum: 2 C. (2, -1); x = 2; minimum: -1 D. (-2, 1); x = 2; minimum: -1
Sketch the graph of the equation from to
.
?
?
A. ?
B. ?
C. ?
D. ?
E. ?
Solve the problem.A plane takes off from an airport on the bearing S29°W. It continues for 20 minutes then changes to bearing and flies for 2 hours 20 minutes on this course then lands at a second airport. If the plane' s speed is 420 mph, how far from the first airport is the second airport? Round your answer correct to the nearest mile.
A. 1110 mi B. 1011 mi C. 1010 mi D. 1111 mi
Solve the problem.A rotating beacon is located 6 ft from a wall. If the distance from the beacon to the point on the wall where the beacon is aimed is given by a = 6|sec (2?t)| , where t is in seconds, find a when t = 0.37 seconds. Round your answer to the nearest hundredth.
A. 11.94 ft B. 15.11 ft C. 8.76 ft D. -8.76 ft