Answer:
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
Step-by-step explanation:
1) Divide both sides by 2.
![3y - 6 = 0](https://tex.z-dn.net/?f=3y%20-%206%20%3D%200)
2) Add 6 to both sides.
![3y = 6](https://tex.z-dn.net/?f=3y%20%3D%206)
3) Divide both sides by 3.
![y = \frac{6}{3}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B6%7D%7B3%7D%20)
4) Simplify 6/3 to 2.
![y = 2](https://tex.z-dn.net/?f=y%20%3D%202)
<em><u>Therefor</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>answer</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>y</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u>2</u></em><em><u>.</u></em>
1) 13 is a prime number.
2) 13 has exactly two factors. ( 1 & 13 )
3) 1 and 13 is a factor pair of 13.
Hope this helps!
Remember that the velocity as a function of time is the derivative of the position as a function of time.
To solve this we are going to take the derivative of our position function
![s=24t+3t^2-t^3](https://tex.z-dn.net/?f=s%3D24t%2B3t%5E2-t%5E3)
. To do that er are going to apply the power rule of calculus:
![\frac{dy}{dx} x^n=nx^{n-1}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdx%7D%20x%5En%3Dnx%5E%7Bn-1%7D)
![\frac{dy}{dx} 24t+\frac{dy}{dx}3t^2-\frac{dy}{dx}t^3](https://tex.z-dn.net/?f=%20%5Cfrac%7Bdy%7D%7Bdx%7D%2024t%2B%5Cfrac%7Bdy%7D%7Bdx%7D3t%5E2-%5Cfrac%7Bdy%7D%7Bdx%7Dt%5E3)
![24+2(3)t-3t^2](https://tex.z-dn.net/?f=24%2B2%283%29t-3t%5E2)
![v=24+6t-3t^2](https://tex.z-dn.net/?f=v%3D24%2B6t-3t%5E2)
We can conclude that the correct answer is:
<span>
B. V = 24 + 6t - 3t2</span>