Answer:
x = 28
Step-by-step explanation:
7(8 - x) = -5x
56 - 7x = -5x Distribute 7 to the parenthesis
56 = 2x Add -7x to both sides
28 = x Divide 2 to both sides
Box 1) (LxW) 20x6=120
box 2) (LxW) 15x4=60
box 1 cost) (size of box x price of box) 120x1.25=150
box 2 cost) (size of box x price of box) 60x1.25=75
subtract 150 and 75 to get 75
answer: the company is saving $75 by choosing to make 50 of box 2 instead of 50 of box 1
hope this makes sense comment if you need more explanation
p-6p+7=3(2p-3)-4(-10+4p
We move all terms to the left:
p-6p+7-(3(2p-3)-4(-10+4p)=0
We add all the numbers together, and all the variables
p-6p-(3(2p-3)-4(4p-10)+7=0
We add all the numbers together, and all the variables
-5p-(3(2p-3)-4(4p-10)+7=0
Answer:
![y=-7x-11](https://tex.z-dn.net/?f=y%3D-7x-11)
Step-by-step explanation:
Given:
The two points on the line are
and
.
The slope of the line joining two points
and
is given as:
![Slope,m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}](https://tex.z-dn.net/?f=Slope%2Cm%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D)
Here, ![x_{1}=-2,y_{1}=3,x_{2}=-1,y_{2}=-4](https://tex.z-dn.net/?f=x_%7B1%7D%3D-2%2Cy_%7B1%7D%3D3%2Cx_%7B2%7D%3D-1%2Cy_%7B2%7D%3D-4)
∴ ![m=\frac{-3-4}{-1-(-2)}=\frac{-7}{-1+2}=\frac{-7}{1}=-7](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-3-4%7D%7B-1-%28-2%29%7D%3D%5Cfrac%7B-7%7D%7B-1%2B2%7D%3D%5Cfrac%7B-7%7D%7B1%7D%3D-7)
Equation of line with a point
and slope
is given as:
![y-y_{1}=m(x-x_{1})](https://tex.z-dn.net/?f=y-y_%7B1%7D%3Dm%28x-x_%7B1%7D%29)
Plug in -2 for
, 3 for
and -7 for
. This gives,
![y-3=-7(x-(-2))\\y-3=-7(x+2)\\y-3=-7x-(7\times 2)\\y-3=-7x-14\\y=-7x-14+3\\y=-7x-11](https://tex.z-dn.net/?f=y-3%3D-7%28x-%28-2%29%29%5C%5Cy-3%3D-7%28x%2B2%29%5C%5Cy-3%3D-7x-%287%5Ctimes%202%29%5C%5Cy-3%3D-7x-14%5C%5Cy%3D-7x-14%2B3%5C%5Cy%3D-7x-11)
Therefore, the equation of the line in vertex form is
.
f(-3)=![2|-3|-3=6-3=3\\f(-3)=3](https://tex.z-dn.net/?f=2%7C-3%7C-3%3D6-3%3D3%5C%5Cf%28-3%29%3D3)
Hope I helped and have a great day!
P.S. brainliest would really help im one away from virtuoso