Answer:
Each friend started with $9
Step-by-step explanation:
45 / 5 = 9
Step 1: Group this into two groups:
When you do that, be sure to group the "–" into the group with the 9 and make sure there's "+" between the groups.
Step 2: Factor out the GCF from both individual groups:
Step 3: Notice both groups have that (h+2)? That's a new GCF between the two groups, so factor that out:
Step 4: That 
piece can be factored further, since it's a difference of squares:
Now it's factored.
<h2>
Answer:</h2>
To solve these, we will divide on both.
Which situation below has a negative correlation?
The younger the child, the more sleep they need.
<em>*100% CORRECT ANSWERS (SEE ATTACHMENTS)</em>
Answer: (f-g)(2)=14
Step-by-step explanation:
(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.
Method 1
f(2)=3(2)²+1 [exponent]
f(2)=3(4)+1 [multiply]
f(2)=12+1 [add]
f(2)=13
g(2)=1-(2) [subtract]
g(2)=-1
(f-g)(2)=13-(-1) [subtract f(2) and g(2)]
(f-g)(2)=14
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Method 2
(f-g)(x)=3x²+1-(1-x) [distribute -1]
(f-g)(x)=3x²+1-1+x [combine like terms]
(f-g)(x)=3x²+x
(f-g)(2)=3(2)²+2 [plug in x=2, exponent]
(f-g)(2)=3(4)+2 [multiply]
(f-g)(2)=12+2 [add]
(f-g)(2)=14
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Now, we know that (f-g)(2)=14. We confirmed this with both methods.
