Joey's average speed is 1.5 hours for 1 km
Answer:
![15.~f(g(2))=\Large\boxed{11}\\](https://tex.z-dn.net/?f=15.~f%28g%282%29%29%3D%5CLarge%5Cboxed%7B11%7D%5C%5C)
![16.~g(f(2.5))=\Large\boxed{16}](https://tex.z-dn.net/?f=16.~g%28f%282.5%29%29%3D%5CLarge%5Cboxed%7B16%7D)
![17.~g(f(-5))=\Large\boxed{1}](https://tex.z-dn.net/?f=17.~g%28f%28-5%29%29%3D%5CLarge%5Cboxed%7B1%7D)
![18.~f(g(-5))=\Large\boxed{-3}](https://tex.z-dn.net/?f=18.~f%28g%28-5%29%29%3D%5CLarge%5Cboxed%7B-3%7D)
Step-by-step explanation:
<h3>Given information</h3>
![f(x)=x+4](https://tex.z-dn.net/?f=f%28x%29%3Dx%2B4)
![g(x)=2x+3](https://tex.z-dn.net/?f=g%28x%29%3D2x%2B3)
<h3>Question 15. f(g(2))</h3>
<u>Substitute values into the first function</u>
![g(2)=2(2)+3](https://tex.z-dn.net/?f=g%282%29%3D2%282%29%2B3)
![g(2)=4+3](https://tex.z-dn.net/?f=g%282%29%3D4%2B3)
![g(2)=7](https://tex.z-dn.net/?f=g%282%29%3D7)
<u>Substitute the values of the first function into the second</u>
![f(g(2))=f(7)](https://tex.z-dn.net/?f=f%28g%282%29%29%3Df%287%29)
![f(7)=(7)+4](https://tex.z-dn.net/?f=f%287%29%3D%287%29%2B4)
![f(7)=\Large\boxed{11}](https://tex.z-dn.net/?f=f%287%29%3D%5CLarge%5Cboxed%7B11%7D)
<h3>Question 16. g(f(2.5))</h3>
<u>Substitute values into the first function</u>
![f(2.5)=(2.5)+4](https://tex.z-dn.net/?f=f%282.5%29%3D%282.5%29%2B4)
![f(2.5)=6.5](https://tex.z-dn.net/?f=f%282.5%29%3D6.5)
<u />
<u>Substitute the values of the first function into the second</u>
![g(f(2.5))=g(6.5)](https://tex.z-dn.net/?f=g%28f%282.5%29%29%3Dg%286.5%29)
![g(6.5)=2(6.5)+3](https://tex.z-dn.net/?f=g%286.5%29%3D2%286.5%29%2B3)
![g(6.5)=13+3](https://tex.z-dn.net/?f=g%286.5%29%3D13%2B3)
![g(6.5)=\Large\boxed{16}](https://tex.z-dn.net/?f=g%286.5%29%3D%5CLarge%5Cboxed%7B16%7D)
<h3>Question 17. g(f(-5))</h3>
<u>Substitute values into the first function</u>
![f(-5)=(-5)+4](https://tex.z-dn.net/?f=f%28-5%29%3D%28-5%29%2B4)
![f(-5)=-1](https://tex.z-dn.net/?f=f%28-5%29%3D-1)
<u>Substitute the values of the first function into the second</u>
![g(f(-5))=g(-1)](https://tex.z-dn.net/?f=g%28f%28-5%29%29%3Dg%28-1%29)
![g(-1)=2(-1)+3](https://tex.z-dn.net/?f=g%28-1%29%3D2%28-1%29%2B3)
![g(-1)=-2+3](https://tex.z-dn.net/?f=g%28-1%29%3D-2%2B3)
![g(-1)=\Large\boxed{1}](https://tex.z-dn.net/?f=g%28-1%29%3D%5CLarge%5Cboxed%7B1%7D)
<h3>Question 18. f(g(-5))</h3>
<u>Substitute values into the first function</u>
![g(-5)=2(-5)+3](https://tex.z-dn.net/?f=g%28-5%29%3D2%28-5%29%2B3)
![g(-5)=-10+3](https://tex.z-dn.net/?f=g%28-5%29%3D-10%2B3)
![g(-5)=-7](https://tex.z-dn.net/?f=g%28-5%29%3D-7)
<u>Substitute the values of the first function into the second</u>
![f(g(-5))=f(-7)](https://tex.z-dn.net/?f=f%28g%28-5%29%29%3Df%28-7%29)
![f(-7)=(-7)+4](https://tex.z-dn.net/?f=f%28-7%29%3D%28-7%29%2B4)
![f(-7)=\Large\boxed{-3}](https://tex.z-dn.net/?f=f%28-7%29%3D%5CLarge%5Cboxed%7B-3%7D)
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x=1 y=4
1:4
Step-by-step explanation:
X=3 and y=5. To solve the system algebraically, I think you just have to plug in the answers. I'm not quite sure for (b)
Answer:
Step-by-step explanation:
first you have to figure out how much room is in the classroom
then you are going to have measure 2 mters apart of each table