Answer:
Isolating a variable means rearranging an algebraic equation so that a different variable is on its own. The goal is to choose a sequence of operations that will leave the variable of interest on one side and put all other terms on the other side of the equal sign.
Step-by-step explanation:
Answer:
246 cm^3
Step-by-step explanation:
See attached image.
ANSWER
![f(3) = - 25](https://tex.z-dn.net/?f=f%283%29%20%3D%20%20-%2025)
EXPLANATION
We want to determine the value of f(3) that will lead to an average rate of change of 19 over the interval [3, 5].
The average rate of change of f(x) over the interval [a,b]:
![= \frac{f(b) - f(a)}{b - a}](https://tex.z-dn.net/?f=%20%3D%20%20%5Cfrac%7Bf%28b%29%20-%20f%28a%29%7D%7Bb%20-%20a%7D%20)
If the average rate of change over the interval [3, 5] is 19, then;
![\frac{f(5) - f(3)}{5 - 3} = 19](https://tex.z-dn.net/?f=%5Cfrac%7Bf%285%29%20-%20f%283%29%7D%7B5%20-%203%7D%20%20%3D%2019)
From the to table f(5)=13
![\frac{13 - f(3)}{2} = 19](https://tex.z-dn.net/?f=%5Cfrac%7B13%20-%20f%283%29%7D%7B2%7D%20%20%3D%2019)
![13 - f(3) = 19 \times 2](https://tex.z-dn.net/?f=13%20-%20f%283%29%20%3D%2019%20%5Ctimes%202)
![13 - f(3) = 38](https://tex.z-dn.net/?f=13%20-%20f%283%29%20%3D%2038)
![- f(3) = 38 - 13](https://tex.z-dn.net/?f=%20-%20f%283%29%20%3D%2038%20-%2013)
![- f(3) = 25](https://tex.z-dn.net/?f=%20-%20f%283%29%20%3D%2025)
![f(3) = - 25](https://tex.z-dn.net/?f=f%283%29%20%3D%20%20-%2025)
the function of quadratic is number4