Answer:
-x + -13
Step-by-step explanation:
Rewrite: 5(x – 4) + 3x – 9x + 7
Step 1: 5(x + –4) + 3x + –9x + 7
Step 2: 5x + -20 + 3x + –9x + 7
Step 3: 5x + 3x + –9x + -20 + 7
Step 4: -1x + -13
Step 5: -x + -13
Usually the easiest way to solve this is by using a calculator. Of course only if your teacher allows you too.
Answer:
The pairs are (13,15) and (-15,-13).
Step-by-step explanation:
If n is an odd integer, the very next odd integer will be n+2.
n+1 is even (so we aren't using this number)
The sum of the squares of (n) and (n+2) is 394.
This means
(n)^2+(n+2)^2=394
n^2+(n+2)(n+2)=394
n^2+n^2+4n+4=394 since (a+b)(a+b)=a^2+2ab+b^2
Combine like terms:
2n^2+4n+4=394
Subtract 394 on both sides:
2n^2+4n-390=0
Divide both sides by 2:
n^2+2n-195=0
Now we need to find two numbers that multiply to be -195 and add up to be 2.
15 and -13 since 15(-13)=-195 and 15+(-13)=2
So the factored form is
(n+15)(n-13)=0
This means we have n+15=0 and n-13=0 to solve.
n+15=0
Subtract 15 on both sides:
n=-15
n-13=0
Add 13 on both sides:
n=13
So if n=13 , then n+2=15.
If n=-15, then n+2=-13.
Let's check both results
(n,n+2)=(13,15)
13^2+15^2=169+225=394. So (13,15) looks good!
(n,n+2)=(-15,-13)
(-15)^2+(-13)^2=225+169=394. So (-15,-13) looks good!
Answer:
150 + 2x
The greatest common factor of 150 and 2x is 2. Factor out a 2 from both terms:
2(75) + 2(x).
Use the Distributive Property, A(B + C) = AB + AC, to rewrite the expression:
2(75 + x).
The expression 150 + 2x is equivalent to 2(75 + x).
Step-by-step explanation:
Might want to change it up a bit bc thats the exact answer. Hope that helps
Answer:43
Step-by-step explanation:
