Given that there are 12 persons, the first choice may be in 12 different ways, the second choice may be in 11 different ways, ther third in 10 different ways, the fourth in 9 different ways and the fith in 8 different ways, for a total of:
12x11x10x9x8 different combinations.
Now you have to take in account that 5x4x3x2 are repetitions. So you have to divide the previos counting by 5x4x3x2.
(12x11x10x9x8)/(5x4x3x2) = 792 different subcommittees.
Also, you can use the formula for combinations: C(m,n) = m! / (n! (m-n)!)
C (12, 5) = 12! / (5!) (12-5)! = [12x11x10x9x8x7!] / [5! 7!] = [12x11x10x9x8]/[5x4x3x2] = 792
C.
Since it is flipping vertically, it is going OVER the x-axis which is the axis that runs horizontally.
first we can find the slope between the two points by using the slope formula
m=(y₂-y₁)/(x₂-x₁)
m=(3-(-7))/(-3-2)
m=(3+7)/(-3-2)
m=10/-5
m= -2
now that we have the slope, we can set up our equation. slope-intercept form is:
y=mx+b
where m is the slope and b is the y-intercept.
since we have the slope, we can choose one of the points that we are given to plug in for x and y, and then solve for b
-7 = 2(-2) + b
-7 = -4 + b
-3 = b
now that we have all the values we need, we can put it into our slope-intercept formula.
y=mx+b
y=-2x+(-3)
y = -2x -3
hope this helps
Answer:
48
Step-by-step explanation:
80 divided by 4 is 20 so thats 1/4 of 80
80-20=60
1/5 of 60 = 12
20+12=32
80-32=48
