For two functions, a(x) and b(x), a statement is made that a(x) = b(x) at x = 2. what is definitely true about x = 2? (2 points) select one: a. both a(x) and b(x) have a maximum or minimum value at x = 2. b. both a(x) and b(x) have the same output value at x = 2. c. both a(x) and b(x) cross the x-axis at 2. d. both a(x) and b(x) cross the y-axis at 2.select one: a. both a(x) and b(x) have a maximum or minimum value at x = 2.b. both a(x) and b(x) have the same output value at x = 2.c. both a(x) and b(x) cross the x-axis at 2.d. both a(x) and b(x) cross the y-axis at 2.

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.)