Find the real solutions of the equation.(x - 4)2 + 3(x - 4) - 18 = 0

A. {-2, 7}
B. {-6, 1}
C. {-7, 2}
D. {-1, 6}


Answer: A

Mathematics

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Solve the problem.A pole of length L is carried horizontally around a corner where a 5-ft-wide hallway meets a 6-ft-wide hallway. For 0 < ? < , find the relationship between L and ? at the moment when the pole simultaneously touches both walls and the corner P. Estimate ? when L = 18 ft. Round the result to three decimal places. 

A. L = 5 cot ? + 6 tan ?;  ? ? 0.300, 1.215 B. L = sec ? + 11 csc ?;  ? ? 0.721, 1.425 C. L = 6 sec ? + 5 csc ?;  ? ? 0.458, 1.060 D. L = 5 sec ? + 6 csc ?;  ? ? 0.511, 1.113

Mathematics

Provide an appropriate response.Suppose the supply and demand equations for a manufacturer's product are  and  respectively, where q represents number of units and p represents price per unit in dollars. Determine (a) the equilibrium quantity; (b) the equilibrium price. If a tax of $1.00 per unit is imposed on the manufacturer, (c) determine the new equilibrium quantity; (d) the new equilibrium price.

What will be an ideal response?

Mathematics

Graph the function.f(x) = 2-x

A.

B.

C.

D.

Mathematics

Find the x-values where the function does not have a derivative.

A. x = 2 B. x = -2, x = 2 C. x = 0 D. x = -2, x = 0, x = 2

Mathematics