1)Time is plotted on the x-axis in seconds
2)Velocity of the object is plotted on the y-axis in meters per second
The answer is (4,2). The solution to a system of equations is when there is an intersection.
Answer:
9 years old
Step-by-step explanation:
Answer:
![(d)\ x = 4](https://tex.z-dn.net/?f=%28d%29%5C%20x%20%3D%204)
Step-by-step explanation:
Given
![f(x) = -x^2 + 4x + 12](https://tex.z-dn.net/?f=f%28x%29%20%3D%20-x%5E2%20%2B%204x%20%2B%2012)
![g(x) = x + 8](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%20%2B%208)
Required
Find x such that: ![f(x) = g(x)](https://tex.z-dn.net/?f=f%28x%29%20%3D%20g%28x%29)
This gives:
![-x^2 + 4x + 12 = x+8](https://tex.z-dn.net/?f=-x%5E2%20%2B%204x%20%2B%2012%20%3D%20x%2B8)
Collect like terms
![-x^2 + 4x -x + 12 -8=0](https://tex.z-dn.net/?f=-x%5E2%20%2B%204x%20-x%20%2B%2012%20-8%3D0)
![-x^2 + 3x +4 =0](https://tex.z-dn.net/?f=-x%5E2%20%2B%203x%20%2B4%20%3D0)
Expand
![-x^2 + 4x - x+4 =0](https://tex.z-dn.net/?f=-x%5E2%20%2B%204x%20-%20x%2B4%20%3D0)
Factorize
![x(x - 4) - 1(x-4) = 0](https://tex.z-dn.net/?f=x%28x%20-%204%29%20-%201%28x-4%29%20%3D%200)
Factor out x - 1
![(x- 1)(x - 4)=0](https://tex.z-dn.net/?f=%28x-%201%29%28x%20-%204%29%3D0)
Solve:
![x =1\ or\ x = 4](https://tex.z-dn.net/?f=x%20%3D1%5C%20or%5C%20x%20%3D%204)
Answer:
Number 7 is 34.56in
Step-by-step explanation:
First: Label each side Ex: Left side:
Top:
Bottom:
etc.
Second: Find the area of each side
Third: add them together
P.S. since this was a perfect cube, you could've also just found the area of 1 side then multiplied by 6:)