Answer: ![m=\dfrac{-1}{3}, b=\dfrac{7}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-1%7D%7B3%7D%2C%20b%3D%5Cdfrac%7B7%7D%7B3%7D)
Step-by-step explanation:
Given
Function is ![f(x)=mx+b](https://tex.z-dn.net/?f=f%28x%29%3Dmx%2Bb)
![f(-2)=3](https://tex.z-dn.net/?f=f%28-2%29%3D3)
![\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)](https://tex.z-dn.net/?f=%5Ctherefore%203%3Dm%28-2%29%2Bb%5C%5C%5CRightarrow%20b-2m%3D3%5Cquad%20%5Cldots%28i%29)
![f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)](https://tex.z-dn.net/?f=f%284%29%3D1%5C%5C%5Ctherefore%201%3D4m%2Bb%5Cquad%20%5Cldots%28ii%29)
from (i) and (ii) we get
![m=\dfrac{-1}{3}, b=\dfrac{7}{3}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B-1%7D%7B3%7D%2C%20b%3D%5Cdfrac%7B7%7D%7B3%7D)
Answer:
$2598.80
Step-by-step explanation:
49 at $12.80 per ticket = $627.20
106 at $18.60 per ticket = $1971.60
Total = $2598.80
Answer: y= -2 - 1/2
Step-by-step explanation:
-4x -2y = 1
+4x +4x
-2y = 4x + 1
/-2 /-2 /-2
y= -2 - 1/2
I think, i may be incorrect but the verbal explanation is; -4x is needed to be moved so you add 4x to both sides and 4x cancels out on the left which leaves -2y on the left (when it was moved "x" is always first). then divide all numbers by -2 to get y by itself. this gives you y= -2 - 1/2 if my calculations are correct.
Since the dimensions of the length and width are equal, then the board and the picture are squares. The width of the board is the margin surrounding the picture. Let's denote the width to be x. The length of the picture plus the length of the width at both ends should equal the length of the board. So, the equation should be:
10 1/2 in = 8 3/4 + 2x
Solving for x
x = 7/8 inches
The answer to your question is 7.375