Suppose that F(x) = x3 and G(x) = -2x3. Which statement best compares the
graph of G(x) with the graph of F(x)?
O
A. The graph of G(x) is the graph of F(x) flipped over the y-axis and
compressed vertically.
O
B. The graph of G(x) is the graph of F(x) flipped over the x-axis and
stretched vertically.
O
C. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
O
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
stretched vertically.

Afriend of mine is giving a dinner party. his current wine supply includes 10 bottles of zinfandel, 8 of merlot, and 11 of cabernet (he only drinks red wine), all from different wineries. (a) if he wants to serve 3 bottles of zinfandel and serving order is important, how many ways are there to do this? ways (b) if 6 bottles of wine are to be randomly selected from the 29 for serving, how many ways are there to do this? ways (c) if 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety? ways (d) if 6 bottles are randomly selected, what is the probability that this results in two bottles of each variety being chosen? (round your answer to three decimal places.) (e) if 6 bottles are randomly selected, what is the probability that all of them are the same variety? (round your answer to three decimal places.)