Find the general term of the arithmetic sequence then find the indicated term of the sequence. Assume that the domain of the sequence is all natural numbers.Find an and a8.

A. an = n - 1; a8 = 7
B. an = n - 2; a8 = 6
C. an = n + 1; a8 = 9
D. an = n + 2; a8 = 10


Answer: B

Mathematics

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Use Simpson's Rule with n = 4 steps to estimate the integral.

A. 1
B.
C. 2
D. 4

Mathematics

Answer the question.How can the graph of f(x) = 0.9|x - 10| + 1.1 be obtained from the graph of y = |x|?

A. Shift it horizontally 9 units to the left. Shrink it vertically by a factor of 0 Shift it 1.1 units upward.
B. Shift it horizontally 1.1 units to the right. Stretch it vertically by a factor of 9. Shift it 10 units downward.
C. Shift it horizontally 10 units to the right. Shrink it vertically by a factor of 0.9. Shift it 1.1 units upward.
D. Shift it horizontally 10 units to the left. Stretch it vertically by a factor of 9. Shift it 1.1 units upward.

Mathematics

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) = 12x3 + 21x2 + 30x - 9; c = 

A. Yes; f(x) = (12x2 + 25x + 36)
B. Yes; f(x) = (12x2 + 24x + 36)
C. Yes; f(x) = (12x2 + 24x - 36)
D. No

Mathematics

Given functions f and g, perform the indicated operations.f(x) = ,g(x) = Find fg.

A. (4x + 2)(9x - 25)
B. ()()
C. (3x - 5)()
D. (4x + 2)(3x - 5)

Mathematics