Answer:
a) Domain is from [-3,3] U [4,0)
b) Range is From (-2,2]
Step-by-step explanation:
a) To find the domain look at the x-axis where you find out that the it starts at -3 with dot( included) and ends till 3 and 4 included till 5 which is hole and not included.
b) To find the range look at the y-axis where you start from bottom -2 not included till 2 which is included.
Answer:
5/2(x-3)
Step-by-step explanation:
g(x) = 2/5 x + 3
y = 2/5x +3
Exchange x and y
x = 2/5y +3
Solve for y
Subtract 3 from each side
x-3 = 2/5y +3-3
x -3 = 2/5y
Multiply each side by 5/2
5/2(x-3) = 5/2(2/5)y
5/2(x-3) = y
The inverse is 5/2(x-3)
Answer:
3 bags
Step-by-step explanation:
Even though she will have extra she still will need 3 bags to get 12.
Answer:
A friend of mine is giving a dinner party. His current wine supply includes 8 bottles of zinfandel, 9 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?
8 * 7 * 6 = 8! / (8 - 3)! = 336
(b) If 6 bottles of wine are to be randomly selected from the 28 for serving, how many ways are there to do this?
28 * 27 * 26 * 25 * 24 * 23 / 6! = 28! / (6! * (28 - 6)!) = 376740
(c) If 6 bottles are randomly selected, how many ways are there to obtain two bottles of each variety?
8 * 7 / 2! * 9 * 8 / 2! * 11 * 10 / 2! = 55440
(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.)
55440 / 376740 = 0.147
(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.)
8! / (6! * (8 - 6)!) + 9! / (6! * (9 - 6)!) + 11! / (6! * (11 - 6)!) = 574
574 / 376740 = 0.00152
