Decide whether or not the functions are inverses of each other.f(x) = (x - 4)2, x ? 4; g(x) = 

A. No
B. Yes


Answer: A

Mathematics

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Solve the problem.Jesse invests $1000 for 2 years in an investment that bears 8% interest compounded annually. On the same day that Jesse invests his money, Shirley invests $1000 in a simple interest account with an interest rate of  On the date of maturity, Shirley  her money, including the interest, for a second year. Without using calculations, explain which person, if either, has made the more profitable investment.

What will be an ideal response?

Mathematics

Solve the problem.Professor Kafka teaches an advanced probability class with an enrollment of 13 students. The front row has 6 chairs. A particular student, Carl, must sit in the front row between his tutor, Sue, and his best friend, Pat. In how many different ways can Professor Kafka assign students to sit in the first row?

A. 1440 B. 2880 C. 720 D. 5760

Mathematics

The Henry is a unit of:

a. Capacitance b. Inductance c. Resistance d. Reactance e. Power

Mathematics

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?f t) ; P = RA - cos2(2?f t) B. P = RA2 sin2(2?f t) ; P = - RA2 cos2(2?f t) C. P = RA2 sin2(2?f t) ; P = RA2 - RA2 cos2(2?f t) D. P = RA sin2(2?f t) ; P = RA - RA cos2(2?f t)

Mathematics