Find the center of the hyperbola.25y2 - 4x2 = 100

A. (0, 2)
B. (5, 0)
C. (2, 5)
D. (0, 0)


Answer: D

Mathematics

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Evaluate the formula for the given quantity.d = rt; given r = 55 miles per hour, t = 6 hours

A. =  miles
B. = 61 miles
C. = 660 miles
D. = 330 miles

Mathematics

Graph the function. Let f(x) =  represent the floor function and let g(x) =  represent the ceiling function.f(x) = 5 + 

A.

B.  

C.

D.

Mathematics

Provide an appropriate response.Are the graphs of y = 5x + 6 and y = 5x + 7 parallel? Explain how you know.

A. The graphs are parallel. The slope of y = 5x + 6 is 5 and the slope of y = 5x + 7 is also 5. Since the slopes of the two lines are equal, their graphs are parallel. B. The graphs are parallel. The slope of y = 5x + 6 is 6 and the slope of y = 5x + 7 is 7. Since the slopes of the two lines are not equal, their graphs are parallel. C. The graphs are not parallel. The slope of y = 5x + 6 is 5 and the slope of y = 5x + 7 is also 5. Since the slopes of the two lines are equal, their graphs are not parallel. D. The graphs are not parallel. The slope of y = 5x + 6 is 6 and the slope of y = 5x + 7 is 7. Since the slopes of the two lines are not equal, their graphs are not parallel.

Mathematics

Solve the problem.A college student invests $7000 in an account paying  per year compounded annually. In how many years will the amount at least quadruple? Round to the nearest tenth when necessary.

A. 19.5 yr B. 18 yr C. 22.2 yr D. 20.9 yr

Mathematics