Solve the problem.Suppose that the speed of a car, measured in miles per hour (mph), is monitored for some short period of time after the driver applies the brakes. The following table relates the speed of the car to the amount of time, measured in seconds (sec), elapsed from the moment that the brakes are applied. Plot this information on the coordinate plane below. What is happening to the speed of the car during this time frame?
A. The speed of the car increased as time
elapsed.
B. The speed of the car decreased as time
elapsed.
C. The speed of the car decreased as time
elapsed.
D. The speed of the car increased as time
elapsed.
Answer: C
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For the functions f and g, find the requested value.Evaluate (f ? g)(2).
A. -3 B. -4 C. 0 D. -5
Find the maximum and minimum values of the function and the values of x and y for which they occur.F = 8x + 12y, subject to40x + 80y ? 560,6x + 8y ? 72,x ? 0,y ? 0.
A. Maximum: 96 when x = 12 and y = 0; minimum: 0 when x = 0 and y = 0 B. Maximum: 96 when x = 12 and y = 0; minimum: 84 when x = 0 and y = 7 C. Maximum: 100 when x = 8 and y = 3; minimum: 84 when x = 0 and y = 7 D. Maximum: 100 when x = 8 and y = 3; minimum: 0 when x = 0 and y = 0
Solve.The storage building depicted in the figure has a volume, V, given by the formula V = 2x2y + ?x2y.The building's height and width, 2x, are 32 feet. Its length, y, is 33 feet. Find the volume of the building. (Round to the nearest whole number.)
A. 23,531 cu ft B. 30,166 cu ft C. 60,332 cu ft D. 21,718 cu ft
Let x represent one number and let y represent the other number. Use the given conditions to write a system of nonlinear equations. Solve the system and find the numbers.The sum of the squares of two numbers is 45. The sum of the two numbers is 9. Find the two numbers.
A. -6 and -3 B. 3 and 6 C. 3 and 6; -6 and -3 D. -6 and 3; -3 and 6