Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2
Answer:
45000
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let's start by rewriting the second equation in terms of "x":
![x+y=5](https://tex.z-dn.net/?f=x%2By%3D5)
Subtract y from both sides:
![x=5-y](https://tex.z-dn.net/?f=x%3D5-y)
Now, substitute "5-y" for "x" in the first equation:
![(5-y)^2-y^2=100](https://tex.z-dn.net/?f=%285-y%29%5E2-y%5E2%3D100)
Note that:
![(a-b)^2=a^2-2ab+b^2](https://tex.z-dn.net/?f=%28a-b%29%5E2%3Da%5E2-2ab%2Bb%5E2)
![25-10y+y^2-y^2=100](https://tex.z-dn.net/?f=25-10y%2By%5E2-y%5E2%3D100)
Cancel out like terms:
![25-10y=100](https://tex.z-dn.net/?f=25-10y%3D100)
Subtract 25 from both sides:
![-10y=75](https://tex.z-dn.net/?f=-10y%3D75)
Divide both sides by -10
![y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B75%7D%7B-10%7D%3D%5Cfrac%7B15%7D%7B-2%7D%3D-%5Cfrac%7B15%7D%7B2%7D)
Now, substitute this value back into either of the equations to solve for x.
![x+y=5\\x-\frac{15}{2}=5\\](https://tex.z-dn.net/?f=x%2By%3D5%5C%5Cx-%5Cfrac%7B15%7D%7B2%7D%3D5%5C%5C)
Add 15/2 to both sides:
![x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}](https://tex.z-dn.net/?f=x%3D5%2B%5Cfrac%7B15%7D%7B2%7D%5C%5Cx%3D%5Cfrac%7B10%7D%7B2%7D%2B%5Cfrac%7B15%7D%7B2%7D%5C%5Cx%3D%5Cfrac%7B25%7D%7B2%7D)
Now, find the difference:
![x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20](https://tex.z-dn.net/?f=x-y%3D%5Cfrac%7B25%7D%7B2%7D-%28-%5Cfrac%7B15%7D%7B2%7D%29%3D%5Cfrac%7B25%7D%7B2%7D%2B%5Cfrac%7B15%7D%7B2%7D%3D%5Cfrac%7B40%7D%7B2%7D%3D20)
Answer:
when 926 is divide by 38 it's remainder is 14.
Answer:
the answer to this question is the third bullet