Answer:
C
Step-by-step explanation:
Adding we get:
-2x^2+3x^2 + 7x - 8x - 6 -1 = X^2 -x-7
The unit rate is 22 gal/min. So, you have
![\begin{gathered} \frac{22\text{ gal}}{1\text{ min}}=\frac{x\text{ gal}}{1\frac{1}{2}\text{ min}} \\ \text{ Multiply }by\text{ }1\frac{1}{2}\text{ min on both sides of the equation} \\ \frac{22\text{ gal}}{1\text{ min}}\cdot1\frac{1}{2}\text{ min}=\frac{x\text{ gal}}{1\frac{1}{2}\text{ min}}\cdot1\frac{1}{2}\text{ min} \\ 22\cdot\frac{3}{2}\text{ gal }=x\text{ } \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Cfrac%7B22%5Ctext%7B%20gal%7D%7D%7B1%5Ctext%7B%20min%7D%7D%3D%5Cfrac%7Bx%5Ctext%7B%20gal%7D%7D%7B1%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20min%7D%7D%20%5C%5C%20%5Ctext%7B%20Multiply%20%7Dby%5Ctext%7B%20%7D1%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20min%20on%20both%20sides%20of%20the%20equation%7D%20%5C%5C%20%5Cfrac%7B22%5Ctext%7B%20gal%7D%7D%7B1%5Ctext%7B%20min%7D%7D%5Ccdot1%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20min%7D%3D%5Cfrac%7Bx%5Ctext%7B%20gal%7D%7D%7B1%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20min%7D%7D%5Ccdot1%5Cfrac%7B1%7D%7B2%7D%5Ctext%7B%20min%7D%20%5C%5C%2022%5Ccdot%5Cfrac%7B3%7D%7B2%7D%5Ctext%7B%20gal%20%7D%3Dx%5Ctext%7B%20%7D%20%5Cend%7Bgathered%7D)
![\begin{gathered} \text{Because } \\ 1\frac{1}{2}=\frac{1\cdot2+1}{2}=\frac{2+1}{2}=\frac{3}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%5Ctext%7BBecause%20%7D%20%5C%5C%201%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%5Ccdot2%2B1%7D%7B2%7D%3D%5Cfrac%7B2%2B1%7D%7B2%7D%3D%5Cfrac%7B3%7D%7B2%7D%20%5Cend%7Bgathered%7D)
Then, you have
![\begin{gathered} 22\cdot\frac{3}{2}\text{ gal }=x\text{ gal} \\ \frac{66}{2}\text{ gal }=x \\ 33\text{ gal = x} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2022%5Ccdot%5Cfrac%7B3%7D%7B2%7D%5Ctext%7B%20gal%20%7D%3Dx%5Ctext%7B%20gal%7D%20%5C%5C%20%5Cfrac%7B66%7D%7B2%7D%5Ctext%7B%20gal%20%7D%3Dx%20%5C%5C%2033%5Ctext%7B%20gal%20%3D%20x%7D%20%5Cend%7Bgathered%7D)
So, a minute and a half after 12 minutes, an additional 33 gallons will be pumped in. A total of 297 gallons
![264\text{ gal + 33 gal = }297\text{ gal}](https://tex.z-dn.net/?f=264%5Ctext%7B%20gal%20%2B%2033%20gal%20%3D%20%7D297%5Ctext%7B%20gal%7D)
will have been pumped into the pool after 13 and a half minutes.
Answer:
It would be B. 6 units because you must multiply 3 and 2.
X = R
y is bigger and equal to -1, y = R