Answer:
![\large\boxed{(f+g)(x)=4^x+17x-1}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%28f%2Bg%29%28x%29%3D4%5Ex%2B17x-1%7D)
Step-by-step explanation:
![(f+g)(x)=f(x)+g(x)\\\\f(x)=4^x+12x,\ g(x)=5x-1\\\\(f+g)(x)=(4^x+12x)+(5x-1)=4^x+17x-1](https://tex.z-dn.net/?f=%28f%2Bg%29%28x%29%3Df%28x%29%2Bg%28x%29%5C%5C%5C%5Cf%28x%29%3D4%5Ex%2B12x%2C%5C%20g%28x%29%3D5x-1%5C%5C%5C%5C%28f%2Bg%29%28x%29%3D%284%5Ex%2B12x%29%2B%285x-1%29%3D4%5Ex%2B17x-1)
Answer:
3/2 the slope is the rate of change
Step-by-step explanation:
The ball will hit the ground at 0.125 seconds
<h3>
Quadratic function</h3>
The equation of the function is a quadratic function, and the function is given as:
![h = -16t^2 + 2t](https://tex.z-dn.net/?f=h%20%3D%20-16t%5E2%20%2B%202t)
When the ball hits the ground, the value of h is 0.
So, the equation of the function becomes
![-16t^2 + 2t = 0](https://tex.z-dn.net/?f=-16t%5E2%20%2B%202t%20%3D%200)
Subtract 2t from both sides of the equation
![-16t^2 =- 2t](https://tex.z-dn.net/?f=-16t%5E2%20%3D-%202t)
Divide both sides by -2t
![8t =1](https://tex.z-dn.net/?f=8t%20%3D1)
Divide both sides by 8
![t =0.125](https://tex.z-dn.net/?f=t%20%3D0.125)
Hence, the ball will hit the ground at 0.125 seconds
Read more about quadratic functions at:
brainly.com/question/11631534
Answer:
5
Step-by-step explanation:
Distance from B to B' is equal to the distance from A to A', AA'=5 so BB'=5
Answer:
yes (answer in the comments) U^U
Step-by-step explanation: