Express as a single logarithm and, if possible, simplify. log (y2 - 3y + 2) - log (y2 - 1)

A.
B. log 
C. log 
D. log(-3y + 3)


Answer: B

Mathematics

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Use the Factor Theorem to determine whether x - c is a factor of the given function for the given value of c. If x - c is a factor, then write f in factored form. That is, write f(x) = (x - c)(quotient).f(x) = x6 - 13x4 - 52x2 + 64; c = 4

A. Yes; f(x) = (x - 4)(x5 + 4x4 - 3x3 + 16x2 - 4x - 16) B. Yes; f(x) = (x - 4)(x5 + 4x4 + 3x3 + 12x2 - 4x - 16) C. Yes; f(x) = (x - 4)(x5 - 5x4 + 4x3 + 12x2 - 4x - 16) D. No

Mathematics

Solve the problem.The current I, in amperes, flowing through an ac (alternating current) circuit at time t, in seconds, is I = 30 sin(50?t)What is the amplitude? What is the period? Graph this function over two periods beginning at t = 0. 

What will be an ideal response?

Mathematics

Solve the problem.Police use the formula  s = S , where S is the test-car speed and L is the test-skid length, to find the actual speed s of a car which left a skid mark of length l feet in an accident.  If S = 63 mph and L = 100 ft, find the length of the skid mark left by a car whose speed was 77 mph. Round to the nearest foot.

A. 67 ft B. 122 ft C. 149 ft D. 82 ft

Mathematics

Find the value of the polynomial at the given replacement value for x.x3 - 4x2 - 5x when x = 1

A. 0 B. -8 C. 2 D. -10

Mathematics