Determine the real solutions to the system of nonlinear equations.ln x = 3 ln y3x = 27y
A. (, 3
)
B. (9, )
C. (3,
)
D. (, 9)
Answer: C
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Simplify.-
A. -22
B. -6
C. -14
D. -84
Solve the problem.A piece of cardboard is twice as long as it is wide. It is to be made into a box with an open top by cutting 5 cm squares from each corner and folding up the sides. Let x represent the width of the original piece of cardboard. Determine a function V that represents the volume of the box in terms of x.
A. V(x) = 10x2 B. V(x) = 10x2 - 150x + 500 C. V(x) = 5x2 - 100x + 500 D. V(x) = 10x2 - 75x + 125
Solve the problem.The water is drained from a tank by opening a valve at the bottom of the tank. The depth of the water in the tank t hours after the valve is opened is d(t) = 62 meters. If the valve is opened at 1 pm, what is the depth of water at 3 pm?
A. 5.83 meters B. 3.38 meters C. 5.00 meters D. 4.17 meters
Give the equation of the horizontal asymptote, if any, of the function.g(x) =
A. y = 1 B. y = 0 C. no horizontal asymptotes D. y = -3, y = 3