-13/24 because u have to multiply to get the same denominator which would end up being -15/24 and 2/24 add that to get -13/24
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Answer:
The answers would be 9 and 1.
Step-by-step explanation:
x= 5±√16 can be separated into two equations.
x=5+√16 and x=5-√16
1. 5+√16 can be solved by simplify √16, which is 4. So then it would become 5+4 which equals 9.
2. 5-√16 can be solved by simplifying √16 which is 4. So then it would become 5-4 which equals 1.
So the values of x are 9 and 1.
Step-by-step explanation:
We have got the lines :
![y=ax+b\\y=cx+d](https://tex.z-dn.net/?f=y%3Dax%2Bb%5C%5Cy%3Dcx%2Bd)
Both lines intercept the x-axis in the point :
![I = (i_{1} ,i_{2})](https://tex.z-dn.net/?f=I%20%3D%20%28i_%7B1%7D%20%2Ci_%7B2%7D%29)
In all point from x-axis the y-component is equal to 0.
![I=(i_{1},o)](https://tex.z-dn.net/?f=I%3D%28i_%7B1%7D%2Co%29)
We replace the I point in the lines equations:
![0=a(i_{1})+b \\0=c(i_{1})+d](https://tex.z-dn.net/?f=0%3Da%28i_%7B1%7D%29%2Bb%20%5C%5C0%3Dc%28i_%7B1%7D%29%2Bd)
From the first equation :
![0=a(i_{1})+b \\-b=a(i_{1})\\i_{1}=\frac{-b}{a}](https://tex.z-dn.net/?f=0%3Da%28i_%7B1%7D%29%2Bb%20%5C%5C-b%3Da%28i_%7B1%7D%29%5C%5Ci_%7B1%7D%3D%5Cfrac%7B-b%7D%7Ba%7D)
From the second equation :
![0=c(i_{1})+d\\ -d=c(i_{1})\\i_{1}=\frac{-d}{c}](https://tex.z-dn.net/?f=0%3Dc%28i_%7B1%7D%29%2Bd%5C%5C%20-d%3Dc%28i_%7B1%7D%29%5C%5Ci_%7B1%7D%3D%5Cfrac%7B-d%7D%7Bc%7D)
Then ![i_{1}=i_{1}](https://tex.z-dn.net/?f=i_%7B1%7D%3Di_%7B1%7D)
Finally :
![\frac{-b}{a}=\frac{-d}{c} \\\frac{b}{a}=\frac{d}{c} \\ad=bc](https://tex.z-dn.net/?f=%5Cfrac%7B-b%7D%7Ba%7D%3D%5Cfrac%7B-d%7D%7Bc%7D%20%5C%5C%5Cfrac%7Bb%7D%7Ba%7D%3D%5Cfrac%7Bd%7D%7Bc%7D%20%5C%5Cad%3Dbc)
y = ax + b and y = cx + d have the same x-intercept ⇔ad=bc
Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)
Multiply the original price by 85%:
5250 x 0.85 = 4462.50
The new price is $4,462.50