100$ because the income you have to earn is 400$, right? If so then 100 * 4 give you 400.
Answer:
x= -5
Step-by-step explanation:
-7x + 5(2x - 1) = -20
-7x + 10x - 5 = -20
3x -5 = -20
3x = -15
x = -5
Answer:
![\sqrt[]{\frac{x+8}{4}}-3](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D-3)
Step-by-step explanation:
![g(x)=4(x+3)^2-8](https://tex.z-dn.net/?f=g%28x%29%3D4%28x%2B3%29%5E2-8)
First rewrite
as y
![y=4(x+3)^2-8](https://tex.z-dn.net/?f=y%3D4%28x%2B3%29%5E2-8)
Now swap y and x
![x=4(y+3)^2-8](https://tex.z-dn.net/?f=x%3D4%28y%2B3%29%5E2-8)
Add 8 on both sides.
![x+8=4(y+3)^2-8+8](https://tex.z-dn.net/?f=x%2B8%3D4%28y%2B3%29%5E2-8%2B8)
![x+8=4(y+3)^2](https://tex.z-dn.net/?f=x%2B8%3D4%28y%2B3%29%5E2)
Divide by 4.
![\frac{x+8}{4} =\frac{4(y+3)^2}{4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7B4%7D%20%3D%5Cfrac%7B4%28y%2B3%29%5E2%7D%7B4%7D)
![\frac{x+8}{4}=(y+3)^2](https://tex.z-dn.net/?f=%5Cfrac%7Bx%2B8%7D%7B4%7D%3D%28y%2B3%29%5E2)
Extract the square root on both sides.
![\sqrt[]{\frac{x+8}{4}}=\sqrt[]{(y+3)^2}](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D%3D%5Csqrt%5B%5D%7B%28y%2B3%29%5E2%7D)
![\sqrt[]{\frac{x+8}{4}}=y+3](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D%3Dy%2B3)
Subtract 3 on both sides.
![\sqrt[]{\frac{x+8}{4}}-3=y+3-3](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D-3%3Dy%2B3-3)
![\sqrt[]{\frac{x+8}{4}}-3=y](https://tex.z-dn.net/?f=%5Csqrt%5B%5D%7B%5Cfrac%7Bx%2B8%7D%7B4%7D%7D-3%3Dy)
This can be a right triangle
Answer: d≤69
Step-by-step explanation:
You would plug in all the values for d into the inequality
40(81) + 240 ≤ 3000
40(81) + 240 = 3000
3240+240=3000
3480=3000 false
40(75) + 240 ≤ 3000
40(75) + 240 = 3000
3000+240=3000
3240=3000 false
40(69) + 240 ≤ 3000
40(69) + 240 = 3000
2760+240=3000
3000=3000 true
You don't need to try the last one because you already found this one!