Part of the graph of the function f(x) = (x + 4)(x - 6) is shown
below.
which statements about the function are true? select two
options.
the vertex of the function is at (1,-25).
the vertex of the function is at (1.-24).
the graph is increasing only on the interval -4< x < 6.
the graph is positive only on one interval, where x < -4.
the graph is negative on the entire interval
4 3
6+

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.)