Answer:
6720 ways different
Step-by-step explanation:
In this case, we must calculate the different ways using the permutation formula:
nPr = n! / (n - r)!
where n is the total number of people and r would come being the group of person that you want to put together the groups, therefore n = 8 and r = 5
replacing:
8P5 = 8! / (8 - 5)!
8P5 = 6720
That is to say that there are 6720 ways different winning groups are possible
Answer:
The x-intercept is at -8 and the y-intercept is at -5.
Step-by-step explanation:
When you simplify 5x + 8y = 40 into y = mx + b form, you get y = -5/8x - 5.
Two sandwiches divide by three brothers is:
2/3
So each brother gets two thirds of a sandwich.
Answer:
Step-by-step explanation:
(5, 38) (6, 39)
(39 - 38)/(6 - 5) = 1/1= 1
y - 38 = x - 5
y = x + 33
Answer:
- x-intercepts: -1±√4.5
- y-intercepts: 2±8/3
Step-by-step explanation:
The x-intercepts are where y = 0.
(x +1)^2/9 +(0 -2)^2/8 = 1
(x +1)^2/9 +1/2 = 1 . . . . . simplify a bit
(x +1)^2 = 9/2 . . . . . . . . .subtract 1/2, multiply by 9; next: square root, add -1
x = -1 ±√4.5 . . . . . x-intercepts
__
The y-intercepts are where x=0.
(0+1)^2/9 +(y-2)^2/8 = 1
1/9 + (y -2)^2/8 = 1 . . . . . simplify a bit
(y -2)^2 = 64/9 . . . . . . . . subtract 1/9, multiply by 8,
y = 2 ±8/3 . . . . . . take the square root, add 2 . . . . y-intercepts