Factor the polynomial completely. If the polynomial cannot be factored, write "prime."x2 + 3xy - 28y2
A. prime
B. (x + 7y)(x - 4y)
C. (x - 7y)(x + y)
D. (x - 7y)(x + 4y)
Answer: B
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Evaluate the derivative.f(x) = 5 tanh-1(cos x)
A. -
B. -
C. -
D. ln sin x
Solve the problem.The arch beneath a bridge is semi-elliptical, a one-way roadway passes under the arch. The width of the roadway is 34 feet and the height of the arch over the center of the roadway is 9 feet. Two trucks plan to use this road. They are both 8 feet wide. Truck 1 has an overall height of and Truck 2 has an overall height of
. Draw a rough sketch of the situation and determine which of the trucks can pass under the bridge.
A. Truck 1 can pass under the bridge, but Truck 2 cannot. B. Truck 2 can pass under the bridge, but Truck 1 cannot. C. Both Truck 1 and Truck 2 can pass under the bridge. D. Neither Truck 1 nor Truck 2 can pass under the bridge.
Give the rectangular coordinates for the point.(5, 150°)
A.
B.
C.
D.
Solve.Peter is making monthly mortgage payments of $868 for his home mortgage. He noticed on his monthly statement that $843 is used to pay off the interest charge. Only $25 is used to pay off the principal. What percent of his monthly mortgage payment is used to pay off the interest charge? Round to the nearest tenth of a percent, if necessary.
A. 0.97% B. 97.1% C. 9.7% D. 0.0097%