Answer:
x = -4
Step-by-step explanation:
3(2x+8)=0
Divide each side by 3
3/3(2x+8)=0/3
2x+8 = 0
Subtract 8 from each side
2x+8-8=0-8
2x = -8
Divide by 2
2x/2 = -8/2
x = -4
Answer:
2
Step-by-step explanation:
Answer:
the turning point is (-2,-1)
i dont know the turning point but i hope this helps
Step-by-step explanation:
81 + 70 + x = 3(73)
first multiply 3(73)
81 + 70 + x = 219
combine like terms
151 + x = 219
subtract 151 from both sides
x = 68
Joaquin needs to score a 68 on her next test to maintain an average of 73.
We are choosing 2
2
r
shoes. How many ways are there to avoid a pair? The pairs represented in our sample can be chosen in (2)
(
n
2
r
)
ways. From each chosen pair, we can choose the left shoe or the right shoe. There are 22
2
2
r
ways to do this. So of the (22)
(
2
n
2
r
)
equally likely ways to choose 2
2
r
shoes, (2)22
(
n
2
r
)
2
2
r
are "favourable."
Another way: A perhaps more natural way to attack the problem is to imagine choosing the shoes one at a time. The probability that the second shoe chosen does not match the first is 2−22−1
2
n
−
2
2
n
−
1
. Given that this has happened, the probability the next shoe does not match either of the first two is 2−42−2
2
n
−
4
2
n
−
2
. Given that there is no match so far, the probability the next shoe does not match any of the first three is 2−62−3
2
n
−
6
2
n
−
3
. Continue. We get a product, which looks a little nicer if we start it with the term 22
2
n
2
n
. So an answer is
22⋅2−22−1⋅2−42−2⋅2−62−3⋯2−4+22−2+1.
2
n
2
n
⋅
2
n
−
2
2
n
−
1
⋅
2
n
−
4
2
n
−
2
⋅
2
n
−
6
2
n
−
3
⋯
2
n
−
4
r
+
2
2
n
−
2
r
+
1
.
This can be expressed more compactly in various ways.
