Solve the variation problem.The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of  per hour?

A. 194.37 feet
B. 182.41 feet
C. 182.07 feet
D. 156.06 feet


Answer: C

Mathematics

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The output is the total cost of a shirt, where x is the price of the shirt and a sales tax of 9% of the price is added. Write an equation describing the output (y) as a function of the input (x).

A. y = 1.09x B. y = x + 0.09 C. y = x – 0.09 D. y = 0.91x E. y = 0.09x – 1

Mathematics

Determine if the function is a power function. If it is, then state the power and constant of variation.f(x) = x5

A. Power is 5; constant of variation is 1
B. Power is 5; constant of variation is 
C. Not a power function
D. Power is ; constant of variation is 5

Mathematics

Provide an appropriate response.Decide if the system has one solution, no solution, or an infinite number of solutions.   x + y = 3  x + y = 6

A. One Solution B. Infinite number of solutions C. No Solution

Mathematics

Solve the system of equations by the substitution method. Check your solutions. For any dependent equations, write your answer in the ordered pair form.

A. {(3, 8)} B. {(3, 9)} C. {(2, 9)} D. {(2, 8)}

Mathematics