Aquadratic equation is shown below:

x2 − 14x + 41 = 0

which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers? (5 points)

a: add 8 to both sides of the equation
b: add 9 to both sides of the equation
c: subtract 8 from both sides of the equation
d: subtract 9 from both sides of the equation

Julius sold five times as many computers as sam sold last year. in total, they sold 78 computers. how many computers did julius sell?

Solve for x and y: 217x + 131y = 913; 131x + 217y = 827

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.)