What are the solutions to the system?
8x-y=12
2y+24=16x

a. x=-2, y=4
b. x=4, y=2
c. there are no solutions
d. all real numbers

Which of the binomials below is a factor of this trinominal? x^2-13+30

The perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length

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.)