Answer:
The answer is A
Step-by-step explanation:
The race is approximately 1/2 a mile long and and that they all ran the same distance if the race is 1/2 mile long then they couldn't have ran more then that
Answer:
<em>16.5 gallons per minute.</em>
Step-by-step explanation:
The given table is:
![\begin{center}\begin{tabular}{ c c } Time(minutes) & Water(gallons) \\ 1 & 16.50 \\ 1.5 & 24.75 \\ 2 & 33 \\\end{tabular}\end{center}](https://tex.z-dn.net/?f=%5Cbegin%7Bcenter%7D%5Cbegin%7Btabular%7D%7B%20c%20c%20%7D%20Time%28minutes%29%20%26%20Water%28gallons%29%20%5C%5C%201%20%26%2016.50%20%20%5C%5C%20%201.5%20%26%2024.75%20%20%5C%5C%20%20%202%20%26%2033%20%20%20%5C%5C%5Cend%7Btabular%7D%5Cend%7Bcenter%7D)
We are given this linear function in the form of table.
Let 't' be the time and W(t) be the function with which the gallons of water are changing with time.
We can use slope intercept form to find the equation.
![y=mx+c](https://tex.z-dn.net/?f=y%3Dmx%2Bc)
Slope of a function:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
![x_2 = 1.5\\x_1 = 1\\y_2 = 24.75\\y_1 = 16.50](https://tex.z-dn.net/?f=x_2%20%3D%201.5%5C%5Cx_1%20%3D%201%5C%5Cy_2%20%3D%2024.75%5C%5Cy_1%20%3D%2016.50)
![m=\dfrac{24.75-16.50}{1.5-1}\\\Rightarrow m =16.5](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B24.75-16.50%7D%7B1.5-1%7D%5C%5C%5CRightarrow%20m%20%3D16.5)
This slope is the constant of proportionality.
i.e. the rate at which the number of gallons are changing per minute.
So, the answer is <em>16.5 gallons per minute.</em>
Answer:
Step-by-step explanation:
(g/h)(t) = g(t) / h(t)
=( t³-5t² ) /(t+5) we cannot simplify this further so
(g/h)(t) = ( t³-5t² ) /(t+5)
=
Answer:
x=10
Step-by-step explanation:
hope this helps