Answer:
1. f(x) = 3x + 7
2. ![f(x) = -\dfrac12x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Cdfrac12x%20%2B%202)
3. f(x) = x + 5
4. f(x) = -2x - 5
5. ![f(x) = -\dfrac32 x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Cdfrac32%20x%20%2B%202)
Step-by-step explanation:
Rearrange all the equations to make y the subject,
then substitute f(x) for y:
1. y - 3x = 7
Add 3x to both sides:
⇒ y = 3x + 7
⇒ f(x) = 3x + 7
2. 2x + 4y = 8
Subtract 2x from both sides:
⇒ 4y = -2x + 8
Divide both sides by 4:
⇒ ![y = -\dfrac12x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cdfrac12x%20%2B%202)
⇒ ![f(x) = -\dfrac12x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Cdfrac12x%20%2B%202)
3. -x + y = 5
Add x to both sides:
⇒ y = x + 5
⇒ f(x) = x + 5
4. y + 5 = -2x
Subtract 5 from both sides:
⇒ y = -2x - 5
⇒ f(x) = -2x - 5
5. 3x + 2y - 4 = 0
Subtract 3x from both sides:
⇒ 2y - 4 = -3x
Add 4 to both sides:
⇒ 2y = -3x + 4
Divide both sides by 2;
⇒ ![y = -\dfrac32 x + 2](https://tex.z-dn.net/?f=y%20%3D%20-%5Cdfrac32%20x%20%2B%202)
⇒ ![f(x) = -\dfrac32 x + 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-%5Cdfrac32%20x%20%2B%202)
Answer:Black people
Step-by-step explanation:
Black people black people eating poopiebutt
Answer:
127.5
Step-by-step explanation:
The given series is 26 + 24.5 + 23 + 21.5 + ... - 17.5
The first term of this series is a=26
The common difference is d=24.5-26=-1.5
The last term of the series is -17.5
The nth term is given by:
![u_n=a+d(n-1)](https://tex.z-dn.net/?f=u_n%3Da%2Bd%28n-1%29)
![26+-1.5(n-1)=-17.5](https://tex.z-dn.net/?f=26%2B-1.5%28n-1%29%3D-17.5)
![-1.5n=-17.5-26-1.5](https://tex.z-dn.net/?f=-1.5n%3D-17.5-26-1.5)
![-1.5n=-45](https://tex.z-dn.net/?f=-1.5n%3D-45)
n=30
The sum of the series:
![S_{n}=\frac{n}{2}(a+l)](https://tex.z-dn.net/?f=S_%7Bn%7D%3D%5Cfrac%7Bn%7D%7B2%7D%28a%2Bl%29)
![S_{30}=\frac{30}{2}(26+-17.5)](https://tex.z-dn.net/?f=S_%7B30%7D%3D%5Cfrac%7B30%7D%7B2%7D%2826%2B-17.5%29)
![S_{30}=127.5](https://tex.z-dn.net/?f=S_%7B30%7D%3D127.5)
Looks like 90 degree angles, that’s an easy answer of C