The graph of the function y = f(x) is given below. Sketch the graph of y =
.
A.
B.
C.
D.
Answer: C
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The given situation involves a rate of change that you may assume to be constant. Write a statement that describes how one variable varies with respect to another, give the rate of change numerically (with units), and use the rate of change rule to answer the questions.A gas station owner finds that for every penny increase in the price of gasoline, she sells 1657 fewer gallons of gas per week. How much more or less gas will she sell if she raises the price by 6 cents per gallon? If she decreases the price by 2 cents per gallon?
A. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is -1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is -9942 gallons. If the price is decreased by 2 cents, gas sales increase by 3314 gallons. B. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is 1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is 7456.5 gallons. If the price is decreased by 2 cents, gas sales increase by 2485.5 gallons. C. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is -1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is -12,427.5 gallons. If the price is decreased by 2 cents, gas sales increase by -4142.5 gallons. D. At a particular gas station, sales decrease with respect to price by 1657 gallons per cent. The rate of change is 1657 gallons per cent. If the price is increased by 6 cents per gallon, the change in gas sales is 4971 gallons. If the price is decreased by 2 cents, gas sales increase by -1657 gallons.
Provide an appropriate response.The two side windows of a pickup canopy are parallelograms with a length of 48 inches and adjacent side of 24 inches. What length of rubber gasket is needed to fit around the two windows?
A. 2,304 inches B. 288 inches C. 288 inches2 D. 144 inches
Solve the problem.In triangle ABC, the angle C is six times as large as angle A. The measure of angle B is greater than that of angle A. Find the measure of the angles.
A. 17° , 78° and 102° B. 17° , 61° and 102° C. 17° , 78° and 85° D. 17° , 61° and 119°
Use synthetic division to divide f(x) by x - k for the given value of k. Then express f(x) in the form for the given value of k.f(x) = 2x5 - x4 + 3x2 - x + 5; k = 1
A. f(x) = (x - 1)(2x4 + x3 + x2 + 4x + 3) + 8 B. f(x) = (x - 1)(2x4 + x3 + 4x2 + 3x) + 8 C. f(x) = (x - 1)(2x4 - 3x3 - x) + 6 D. f(x) = (x - 1)(2x4 + x3 - x2 + 2x + 1) + 6