Determine if the pair of polar coordinates represents the same point.(6, 180°), (6, -180°)
A. Yes
B. No
Answer: A
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Multiply the polynomials.(x + y)(x2 - 6xy - y2)
A. x3 - 5x2y - 7xy2 - y3 B. x3y - 6x2y - xy3 C. x3 - 6x2y - xy2 D. x3 - 6x2y - 6xy2 - y3
Solve the problem.Alan invests a total of $19,000 in three different ways. He invests one part in a mutual fund which in the first year has a return of 11%. He invests the second part in a government bond at 7% per year. The third part he puts in the bank at 5% per year. He invests twice as much in the mutual fund as in the bank. The first year Alan's investments bring a total return of $1630. How much did he invest in each way?
A. $9400 in mutual fund, $4900 in bond, and $4700 in bank B. $10,000 in mutual fund, $4000 in bond, and $5000 in bank C. $10,000 in mutual fund, $5000 in bond, and $5000 in bank D. $10,600 in mutual fund, $3100 in bond, and $5300 in bank
Factor the sum or difference of two cubes.27y3 - 1
A. (3y - 1)(9y2 + 3y + 1) B. (3y - 1)(9y2 + 1) C. (3y + 1)(9y2 - 3y + 1) D. (27y - 1)(y2 + 3y + 1)
Let s be a real number corresponding to the point (a, b) on the unit circle. Use this information to determine the sine and cosine of the real number.-s - ?
A. sin (-s - ?) = b, cos (-s - ?) = a B. sin (-s - ?) = b, cos (-s - ?) = -a C. sin (-s - ?) = -a, cos (-s - ?) = -b D. sin (-s - ?) = a, cos (-s - ?) = b