For this case we have the following equation:
![y = -2x ^ 2 + 4x + 12 ](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%5E%202%20%2B%204x%20%2B%2012%0A)
Deriving we have:
![y = -2x ^ 2 + 4x + 12 y '= -4x + 4](https://tex.z-dn.net/?f=y%20%3D%20-2x%20%5E%202%20%2B%204x%20%2B%2012%0A%0Ay%20%27%3D%20-4x%20%2B%204)
We match zero:
![-4x + 4 = 0 ](https://tex.z-dn.net/?f=%20%20-4x%20%2B%204%20%3D%200%0A)
We clear the value of x:
![4x = 4 x = 4/4 x = 1](https://tex.z-dn.net/?f=4x%20%3D%204%0A%0Ax%20%3D%204%2F4%0A%0Ax%20%3D%201)
Then, we substitute the value of x in the equation of the parabola:
![y = -2 (1) ^ 2 + 4 (1) + 12 y = -2 + 4 + 12 y = 14](https://tex.z-dn.net/?f=y%20%3D%20-2%20%281%29%20%5E%202%20%2B%204%20%281%29%20%2B%2012%0A%0Ay%20%3D%20-2%20%2B%204%20%2B%2012%0A%0Ay%20%3D%2014)
Thus, the vertex of the parabola is the ordered pair:
Answer:
The vertice is:
14.4 rounds to about 14 as a percentage that is 14%
To find the average of the data
Answer:
Commutative
Step-by-step explanation:
There are four basic property of operations to solve an algebraic expressions. They are associative, commutative, distributive and identity.
The expression given is : ![$6x^2 + 4x=4x+6x^2$](https://tex.z-dn.net/?f=%246x%5E2%20%2B%204x%3D4x%2B6x%5E2%24)
So the given algebraic expression is a commutative property of operations. The commutative property states that when any two numbers are added in an expression the sum of the numbers are the same regardless of the order of the numbers that are added.
Thus the sum of the above expression will be same in which ever order the numbers are added.