Which of the following expressions is equivalent to 3 sin2 ? - 3 sin4 ??
?
A. 3 cos4 ? + cos2 ?
B. -cos2 ? - 3 cos4 ?)
C. 3 (cos2 ? + cos4 ?)
D. 3 (cos2 ? - cos4 ?)
E. -3 (cos2 ? - cos4 ?)
Answer: D
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A balloon is initially full of air, but then it springs a leak. It leaks at a constant rate of 6 cubic inches per minute. After a while the leak is patched, a pump is attached, and the balloon is re-inflated to its original volume. The pumping rate is constant at 7 cubic inches per minute. Let B denote the volume, in cubic inches, of air in the balloon after t minutes.
?
A: Explain in practical terms the meaning of .
B: During the time the balloon is leaking air, what is the value of
?
C: During the time air is being pumped into the balloon, what is the value of
?
What will be an ideal response?
Factor: 6x2 + 13xy + 6y2
a. (x - y)(6x - 6y) b. (2x + 2y)(3x + 3y) c. (6x + y)(x + 6y) d. (3x + 2y)(2x + 3y) e. (3x + 2y)(2x - 3y)
Divide.
A. 3 - i
B. - - 3i
C. + 3i
D. -3 + i
Use radical notation to rewrite the expression. Simplify, if possible.(xy)8/9
A.
B.
C.
D.