Human Trafficking is the act of recruiting or abducting people (usually children and teens) and doing...let's just say bad things to them. Some things could involve sexual acts, forcing them into labor, and even torturing them (like removing their organs or just doing it for fun).
People usually do this to gain money from it, which gets them a lot. In easier words, Human Trafficking is illegal and slavery.
1. Tectonic
2. Subtropical
3. Aborigine
4. Desalination
Answer:
![k = -7](https://tex.z-dn.net/?f=k%20%3D%20-7)
Explanation:
Given
through (0,1) and (1,5)
through (0,-6) and (1,-2)
Required
Determine the value of k if f(x) is translated vertically down
To get the value of k, we perform the following operations.
For (0,-6) --- Substitute 0 for x and -6 for g(x) in ![g(x) = 5^x + k](https://tex.z-dn.net/?f=g%28x%29%20%3D%205%5Ex%20%2B%20k)
![g(x) = 5^x + k](https://tex.z-dn.net/?f=g%28x%29%20%3D%205%5Ex%20%2B%20k)
![-6 = 5^0 + k](https://tex.z-dn.net/?f=-6%20%3D%205%5E0%20%2B%20k)
![-6 = 1 + k](https://tex.z-dn.net/?f=-6%20%3D%201%20%2B%20k)
![k + 1 = -6](https://tex.z-dn.net/?f=k%20%2B%201%20%3D%20-6)
![k = -6 - 1](https://tex.z-dn.net/?f=k%20%3D%20-6%20-%201)
![k = -7](https://tex.z-dn.net/?f=k%20%3D%20-7)
For (1,-2) --- Substitute 1 for x and -2 for g(x) in ![g(x) = 5^x + k](https://tex.z-dn.net/?f=g%28x%29%20%3D%205%5Ex%20%2B%20k)
![g(x) = 5^x + k](https://tex.z-dn.net/?f=g%28x%29%20%3D%205%5Ex%20%2B%20k)
![-2 = 5^1 + k](https://tex.z-dn.net/?f=-2%20%3D%205%5E1%20%2B%20k)
![-2 = 5 + k](https://tex.z-dn.net/?f=-2%20%3D%205%20%2B%20k)
![k+5 = -2](https://tex.z-dn.net/?f=k%2B5%20%3D%20-2)
![k= -2-5](https://tex.z-dn.net/?f=k%3D%20-2-5)
![k = -7](https://tex.z-dn.net/?f=k%20%3D%20-7)
To further show that k = -7, we have the following:
When translated downward by 7 units, the function becomes
![g(x) = f(x) - 7](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%28x%29%20-%207)
Recall that:
and
So, we have:
![5^x + k = 5^x - 7](https://tex.z-dn.net/?f=5%5Ex%20%2B%20k%20%3D%205%5Ex%20-%207)
Subtract
from both sides
![5^x - 5^x + k = 5^x - 5^x + 7](https://tex.z-dn.net/?f=5%5Ex%20-%205%5Ex%20%2B%20k%20%3D%205%5Ex%20-%205%5Ex%20%2B%207)
![k = -7](https://tex.z-dn.net/?f=k%20%3D%20-7)
Answer:
2
Explanation:
3 is physical 4 is as well so it has to be 1 or 2