Answer:
6.2
Step-by-step explanation:
2(-n-3)-7(5+2n)
First, you need to distribute the numbers in front of the parentheses to those in the parentheses. This means you multiply.
2 times -n= -2n
2 times -3= -6
-7 times 5= -35
-7 times 2n= -14n
This leaves you with
-2n -6 -35 -14n
Next, combine like terms.
(-2n) + (-14n)= -16n
(-35) + (-6)= -41
This gives you
-16n-41, which is B in your answer choices.
Hope this makes sense!! :)
Answer:
y=-2x-3
Step-by-step explanation:
Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b. Therefore:

Therefore, our slope is 1/2 and our y-intercept is 2. Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning
(negative reciprocal). Now we must use the point slope formula:

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.
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: 