Answer:
![y=3^x](https://tex.z-dn.net/?f=y%3D3%5Ex)
Step-by-step explanation:
The equation of the function in exponential form is
![y=a\cdot b^x](https://tex.z-dn.net/?f=y%3Da%5Ccdot%20b%5Ex)
The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:
![1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3](https://tex.z-dn.net/?f=1%3Da%5Ccdot%20b%5E0%5CRightarrow%20a%3D1%5C%20%5C%20%5Bb%5E0%3D1%5D%5C%5C%20%5C%5C3%3Da%5Ccdot%20b%5E1%5CRightarrow%201%5Ccdot%20b%3D3%2C%5C%20b%3D3)
Thus, the equation of the function is
![y=3^x](https://tex.z-dn.net/?f=y%3D3%5Ex)
Answer:
6.4 minutes ( or 6 minutes and 24 seconds)
Step-by-step explanation:
Filling up the jug means the empty space is 0, hence V = 0.
<em>We plug in 0 into V and solve for t to get the time required to fill it up:</em>
![V=2.5(6.4-t)\\0=2.5(6.4-t)\\0=16-2.5t\\2.5t=16\\t=\frac{16}{2.5}\\t=6.4](https://tex.z-dn.net/?f=V%3D2.5%286.4-t%29%5C%5C0%3D2.5%286.4-t%29%5C%5C0%3D16-2.5t%5C%5C2.5t%3D16%5C%5Ct%3D%5Cfrac%7B16%7D%7B2.5%7D%5C%5Ct%3D6.4)
Hence it will take 6.4 minutes to fill up the jugs.
<u>Note:</u> 0.4 minutes in seconds is
seconds
Answer:
Grayson biked at a speed of 15 mph. Maya biked at a speed of 13 mph.
Grayson biked 2 mph faster than Maya.
Step-by-step explanation:
45/3 = 15
26/2 = 13
4x +9
3x and x are like terms
And 2 and 7 are like terms
Hope this helps :D
The answer is You are a variable