2/3x = 3.5 + 3/8x
8 • (2/3x) = 3.5 + 3 • (3/8)
16/24 X = 3.5 + 9/24 X
16/24x - 9/24x = 3.5
7/24 X = 3.5
7x/24 = 3.5
24 • (7x/24) = 3.5 • 24
7x = 84
7x/7 = 84/7
X = 12.
The number is 12.
Answer:
3
Step-by-step explanation:
<span>80% = 80/100 = 8/10 = 4/5</span>
The given expression :
![y=(\frac{1}{2})^x](https://tex.z-dn.net/?f=y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5Ex)
For coordinates:
put x = 0 then :
![\begin{gathered} y=(\frac{1}{2})^0 \\ y=1 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E0%20%5C%5C%20y%3D1%20%5Cend%7Bgathered%7D)
Coordinate : (x, y) = (0, 1)
Put x= 1 and simplify :
![\begin{gathered} y=(\frac{1}{2})^1 \\ y=\frac{1}{2} \\ y=0.5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E1%20%5C%5C%20y%3D%5Cfrac%7B1%7D%7B2%7D%20%5C%5C%20y%3D0.5%20%5Cend%7Bgathered%7D)
Coordinate : (x, y) = ( 1, 0.5)
Put x = (-2) and simplify :
![\begin{gathered} y=(\frac{1}{2})^{-2} \\ y=\frac{1^{-2}}{2^{-2}} \\ y=\frac{2^2}{1^2} \\ y=2^2 \\ y=4 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B-2%7D%20%5C%5C%20y%3D%5Cfrac%7B1%5E%7B-2%7D%7D%7B2%5E%7B-2%7D%7D%20%5C%5C%20y%3D%5Cfrac%7B2%5E2%7D%7B1%5E2%7D%20%5C%5C%20y%3D2%5E2%20%5C%5C%20y%3D4%20%5Cend%7Bgathered%7D)
Coordinate : (x, y) = ( -2, 4)
Put x = (-3) and simplify :
![\begin{gathered} y=(\frac{1}{2})^{-3} \\ y=\frac{1^{-3}}{2^{-3}} \\ y=\frac{2^3}{1^3} \\ y=2^3 \\ y=8 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B-3%7D%20%5C%5C%20y%3D%5Cfrac%7B1%5E%7B-3%7D%7D%7B2%5E%7B-3%7D%7D%20%5C%5C%20y%3D%5Cfrac%7B2%5E3%7D%7B1%5E3%7D%20%5C%5C%20y%3D2%5E3%20%5C%5C%20y%3D8%20%5Cend%7Bgathered%7D)
Coordinate : (x, y) = (-3, 8)
Substitute x = (-1) and simplify :
![\begin{gathered} y=(\frac{1}{2})^x \\ y=(\frac{1}{2})^{-1} \\ y=\frac{1^{-1}}{2^{-1}} \\ y=\frac{2}{1} \\ y=2 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5Ex%20%5C%5C%20y%3D%28%5Cfrac%7B1%7D%7B2%7D%29%5E%7B-1%7D%20%5C%5C%20y%3D%5Cfrac%7B1%5E%7B-1%7D%7D%7B2%5E%7B-1%7D%7D%20%5C%5C%20y%3D%5Cfrac%7B2%7D%7B1%7D%20%5C%5C%20y%3D2%20%5Cend%7Bgathered%7D)
Coordinate : (x, y) = ( -1, 2)
So, the coordinates are :
The graph is :