1. the table below shows the cost of some apples. which function c(a) is represented in the table?
apples
cost
3
$1.95
6
$3.90
9
$5.85
a. c(a) = 0.65a
b. c(a) = 1.95a
c. c(a) = 3a
d. c(a) = 0.85a
2. which function below translates the parent function f(x) = x4 five units to the right and seven units downward?
a. g(x) = (x – 7)4 – 5
b. g(x) = (x – 5)4 + 7
c. g(x) = (x – 5)4 – 7
d. g(x) = (x + 5)4 – 7
3. use the mapping shown to show the value of the function f(x) at each point.
a. f(5) = –1, f(3) = 0, f(5) = 1, f(11) = 2, f(21) = 3
b. f(1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21
c. f(–1) = 5, f(0) = 3, f(1) = 5, f(2) = 21, f(3) = 11
d. f(–1) = 5, f(0) = 3, f(1) = 5, f(2) = 11, f(3) = 21

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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.)