Answer:

Step-by-step explanation:
Here, we add up two polynomials shown.
The polynomials are:
![[-m^2 + 6]+[-4m^2 +7m + 2]](https://tex.z-dn.net/?f=%5B-m%5E2%20%2B%206%5D%2B%5B-4m%5E2%20%2B7m%20%2B%202%5D)
In order to add up the 2 polynomials shown, we have to see the "like terms" and add them up.
We add up the "
" terms and the constant (number) terms. There is one term with "m", so we leave it like that. Let's add up. Shown below:\
![[-m^2 + 6]+[-4m^2 +7m + 2]\\=-m^2-4m^2+6+2+7m\\=-5m^2+7m+8](https://tex.z-dn.net/?f=%5B-m%5E2%20%2B%206%5D%2B%5B-4m%5E2%20%2B7m%20%2B%202%5D%5C%5C%3D-m%5E2-4m%5E2%2B6%2B2%2B7m%5C%5C%3D-5m%5E2%2B7m%2B8)
This is the sum of the 2 polynomials shown: 
Answer:
24
Step-by-step explanation:
Let the number be x.
Sum of the number and 6: 
Divide it by 3: 
Result is 4 more than one quarter of the number:

Multiply both sides by 12:

Simplify:

Expand:

Subtract 24 from both sides:


Subtract 3x from both sides:


The number is 24.
He should make 20 dining chairs, and 10 rocking chairs. Making a profit of 2100$
10 rocking chairs x 2hrs = 20hrs
20 dining chairs x 1 = 20hrs
20hrs + 10hrs = 30hrs
90 x 10 = 900$
20 x 60 = 1200$
900 + 1200 = 2100$
I believe the answer is x-5 y-15