Factor the trinomial, or state that the trinomial is prime.x2 + 5xy - 14y2
A. (x + 7y)(x - 2y)
B. (x - y)(x + 2y)
C. (x - 7y)(x + 2y)
D. (x - 7y)(x + y)
Answer: A
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Solve the problem.The power dissipated in an electric circuit is given by the expression where R is the resistance of the circuit and I is the current through the circuit. For a sinusoidal alternating current, the current might be represented by the relation
where A is the amplitude, f is the frequency, and t is time. Write an expression for P involving the sine function, and use a fundamental identity to write P in terms of the cosine function.
A. P = RA sin2(2?ft) ; P = RA - RA cos2(2?ft) B. P = RA2 sin2(2?ft) ; P = RA2 - RA2 cos2(2?ft) C. P = RA2 sin2(2?ft) ; P = - RA2 cos2(2?ft) D. P = RA sin2(2?ft) ; P = RA - cos2(2?ft)
Provide an appropriate response.The compounding table for one dollar can be used to determine the effective rate.
A. True B. False
The graph of an exponential function is given. Match the graph to one of the following functions.
A. f(x) = 4x + 1 B. f(x) = 4x - 1 C. f(x) = 4x D. f(x) = 4x - 1
Use a calculator to find the approximate value of the composition. Round answers to four decimal places. The expression may be undefined.sin
A. 2.9 B. 0 C. -2.9 D. Undefined