Nick wrote the function p(x) = 17 + 42x – 7x2 in vertex form. His work is below. p(x) = –7x2 + 42x + 17 p(x) = –7(x2 – 6x) + 17 (StartFraction negative 6 Over 2 EndFraction) squared = 9; p(x) = –7(x2 – 6x + 9) + 17 p(x) = –7(x – 3)2 + 17 When Nick checked his work it did not match the standard form function. Analyze Nick’s work. What was his mistake? In step 1, he did not put the function in standard form correctly. In step 2, he should have also factored –7 from the constant term, 17. In step 3, he did not subtract –7(9) to keep the function equivalent. In step 4, he did not write the perfect square trinomial correctly as a binomial squared.

Nick has box brads. he uses 4 brads for the first project. nick let’s b represent the original number of brads and finds that for the second project, the number of brads he uses is 8 more than half the difference of b and 4. write an expression to represent the number of brads he uses for the second project.

Do you mind if you guys me with this question i’m on number 8

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.)