Answer:
![\large\boxed{a_n=3n-10}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7Ba_n%3D3n-10%7D)
Step-by-step explanation:
It's an arithmetic sequence.
![-4-(-7)=-4+7=3\\-1-(-4)=-1+4=3\\2-(-1)=2+1=3\\5-2=3](https://tex.z-dn.net/?f=-4-%28-7%29%3D-4%2B7%3D3%5C%5C-1-%28-4%29%3D-1%2B4%3D3%5C%5C2-%28-1%29%3D2%2B1%3D3%5C%5C5-2%3D3)
The difference is constant.
The explicit formula of an arithmetic sequence:
![a_n=a_1+(n-1)d](https://tex.z-dn.net/?f=a_n%3Da_1%2B%28n-1%29d)
Substitute:
![a_1=-7,\ d=3](https://tex.z-dn.net/?f=a_1%3D-7%2C%5C%20d%3D3)
<em>use distributive property</em>
![a_n=-7+3n-3\\\\a_n=3n+(-7-3)\\\\a_n=3n-10](https://tex.z-dn.net/?f=a_n%3D-7%2B3n-3%5C%5C%5C%5Ca_n%3D3n%2B%28-7-3%29%5C%5C%5C%5Ca_n%3D3n-10)
Answer:
11.6km/h
Step-by-step explanation:
multiply 30 min by 2 to get to an hour
multiply 5.8 by 2 to get to km per hour
Answer:
The arrangements of things following one after another in time
Answer:
The second option is the answer.
Step-by-step explanation:
Do f(x) first, and then plug that into g(x).
![f(x)=\sqrt{x+3}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7Bx%2B3%7D)
![(g o f)(x) = \frac{\sqrt{x+3}^{2}+2 }{\sqrt{x+3}}=\frac{x+5}{\sqrt{x+3}}](https://tex.z-dn.net/?f=%28g%20o%20f%29%28x%29%20%3D%20%5Cfrac%7B%5Csqrt%7Bx%2B3%7D%5E%7B2%7D%2B2%20%7D%7B%5Csqrt%7Bx%2B3%7D%7D%3D%5Cfrac%7Bx%2B5%7D%7B%5Csqrt%7Bx%2B3%7D%7D)
For number 1 and 2 you are correct but I'm not sure for number 3