A carpenter builds tables and chairs of various sizes and sells them to local businesses. She created the following chart for her own records:
Item
Materials Cost
Selling Price
Small Chair
$4.50
$14.00
Small Table
$8.00
$24.00
Large Chair
$10.00
$38.00
Large Table
$12.00
$42.00
Part A
Her first order this month is from a restaurant that is installing new tables, they want 8 more large tables than
small tables. She has $236 to spend on all of the materials for this order. Using this information, write a
system of equations that can be used to determine the number of small tables and the number of large
tables the designer will make.

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.)

How many and of which kind of roots does the equation f(x)=2x^4−9x^3+17x^2−16x+6 have?

What is the answer to this problem? ignore the work. what is the correct answer?