Solve the problem.Sketch a graph that depicts the amount of water in a 50-gallon tank. The tank is initially full, And then a pump is used to take water out of the tank at a rate of 5 gallons per minute. This pump is turned off after 6 minutes and at that same time a different pump is turned on. This second pump puts water into the tank at a rate of 4 gallons per minute for 4 minutes.
A.
B.
C.
D.
Answer: B
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The height of a staircase is a linear function of the number of steps.
Answer the following statement true (T) or false (F)
Write a system of two inequalities that describe the constraints in the problem.An office manager needs to buy new filing cabinets. Cabinet A costs $6, takes up 5 square feet of floor space, and holds 7 cubic feet of files. Cabinet B costs $8, takes up 8 square feet, and holds 14 cubic feet. He has only $66 to spend and the office has room for no more than 59 square feet of cabinets. Let x equal the number of cabinet A's bought and y equal the number of cabinet B's bought.
A. 6y + 8x ? 66, 5y + 8x ? 59 B. 7x + 14y ? 59, 59x + 66y ? 8 C. 6x + 8y ? 66, 5x + 8y ? 59 D. 7y + 14x ? 59, 59y + 66x ? 8
Complete the exercises using counting techniques. How many ways can a president, vice-president, secretary, and treasurer be chosen from a club with 8 members? Assume that no member can hold more than one office.
A. 32 B. 24 C. 70 D. 1,680
Solve the polynomial inequality. Express the solution in interval notation.(x + 4)(x - 6) ? 0
A. (-4, 6) B. (-?, -4] ? [6, ?) C. (-?, -4) ? (6, ?) D. [-4, 6]