Answer:Use this PEMDAS to solve
Step-by-step explanation:
Parethiesis,Exponent,Multiplication,Division,Addition,and Subtraction.
ALWAYS DO P FIRST!!!!
Answer:
A. y = 7(x + 1)²-3
Step-by-step explanation:
Parabola:
![y = 7x^{2} + 14x + 4](https://tex.z-dn.net/?f=y%20%3D%207x%5E%7B2%7D%20%2B%2014x%20%2B%204)
![y = 7(x^{2} + 2x) + 4](https://tex.z-dn.net/?f=y%20%3D%207%28x%5E%7B2%7D%20%2B%202x%29%20%2B%204)
Putting into vertex form, remember that:
![(x + a)^{2} = x^{2} + 2ax + a^{2}](https://tex.z-dn.net/?f=%28x%20%2B%20a%29%5E%7B2%7D%20%3D%20x%5E%7B2%7D%20%2B%202ax%20%2B%20a%5E%7B2%7D)
In this question:
, to put into this format:
![x^{2} + 2x + 1 = (x + 1)^{2}](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B%202x%20%2B%201%20%3D%20%28x%20%2B%201%29%5E%7B2%7D)
We add one inside the parenthesis to do this. The parenthesis is multiplied by 7, so for the equivalent, we also have to subtract 7. Then
Vertex form:
![y = 7(x^{2} + 2x + 1) + 4 - 7](https://tex.z-dn.net/?f=y%20%3D%207%28x%5E%7B2%7D%20%2B%202x%20%2B%201%29%20%2B%204%20-%207)
![y = 7(x + 1)^{2} - 3](https://tex.z-dn.net/?f=y%20%3D%207%28x%20%2B%201%29%5E%7B2%7D%20-%203)
So the correct answer is:
A. y = 7(x + 1)²-3
The pump moves 6 gallons per minute. Hope this is what you wanted.
Answer:
not possible as you cannot factories any more