Answer:
Equivalent ratios are just like equivalent fractions. If two ratios have the same value, then they are equivalent, even though they may look very different! In this tutorial, take a look at equivalent ratios and learn how to tell if you have equivalent ratios.
Answer:
15 inches
Tell me if you need me to explain
Answer:
![\large\boxed{A.\ -10x^2-33x+1}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BA.%5C%20-10x%5E2-33x%2B1%7D)
Step-by-step explanation:
![6x(x-4)-16x^2-(9x-1)\qquad\text{use the distributive property}\\\\=(6x)(x)+(6x)(-4)-16x^2-9x-(-1)\\\\=6x^2-24x-16x^2-9x+1\qquad\text{combine like terms}\\\\=(6x^2-16x^2)+(-24x-9x)+1\\\\=-10x^2-33x+1](https://tex.z-dn.net/?f=6x%28x-4%29-16x%5E2-%289x-1%29%5Cqquad%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5C%3D%286x%29%28x%29%2B%286x%29%28-4%29-16x%5E2-9x-%28-1%29%5C%5C%5C%5C%3D6x%5E2-24x-16x%5E2-9x%2B1%5Cqquad%5Ctext%7Bcombine%20like%20terms%7D%5C%5C%5C%5C%3D%286x%5E2-16x%5E2%29%2B%28-24x-9x%29%2B1%5C%5C%5C%5C%3D-10x%5E2-33x%2B1)
a) The linear function that models the amount of water after t minutes is given by:
![V(t) = 200 + 12t](https://tex.z-dn.net/?f=V%28t%29%20%3D%20200%20%2B%2012t)
b) It takes 92 minutes to completely fill the pond.
Item a:
- Initially, the pond contains 200 gal of water, that is, the linear function has a y-intercept of 200.
- Filled at a rate of 12 gallons per minute, thus the linear function has a slope of 12.
Then, the function is:
![V(t) = 200 + 12t](https://tex.z-dn.net/?f=V%28t%29%20%3D%20200%20%2B%2012t)
Item b:
It takes t minutes to fill the pond, t is found for which:
![V(t) = 1304](https://tex.z-dn.net/?f=V%28t%29%20%3D%201304)
Then
![200 + 12t = 1304](https://tex.z-dn.net/?f=200%20%2B%2012t%20%3D%201304)
![12t = 1104](https://tex.z-dn.net/?f=12t%20%3D%201104)
![t = \frac{1104}{12}](https://tex.z-dn.net/?f=t%20%3D%20%5Cfrac%7B1104%7D%7B12%7D)
![t = 92](https://tex.z-dn.net/?f=t%20%3D%2092)
It takes 92 minutes to completely fill the pond.
A similar problem is given at brainly.com/question/16302622