The answers are:
P(9, 2) = 72
P(5, 5) = 120
P(7, 7) = 5040
These are examples of permutations. The problems are asking us to find the total number of ways an event can happen.
In the first case, P(9, 2), we are asked to find the ways that 2 things can be chosen out of a group of 9.
9 x 8 = 72
P(5, 5) = 5 x 4 x 3 x 2 x 1
P(7, 7) = 7 x 6 x 5 x 4 x 3 x 2 x 1
Answer:
Add 7 to both sides
Step-by-step explanation:
You would need to add 7 to both sides to cancel out the 7 on the right side of the equation to get x one step closer to being by itself.
Then you would get 4x = -8.
Next divide by 4 on both sides to get x by itself so do the inverse operation of what 4 was doing to x.
x = -2
The answer would be:
5(-4) - 8
-20 - 8
-28
From angle bisector theorem, we know that:
Moreover:
so:
and
Step-by-step explanation:
We can immediately eliminate answers B and C because we have >, meaning that the circle on the number line has to be open.
-2x+7>17
subtract 7 on both sides
-2x>10
divide by -2. remember that dividing by a negative flips the greater than or less than sign.
x<-5
the answer is D
