Answered

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22.9696=22.9898x+21.9944(1-x)

Sagot :

Given the expression:

[tex]22.9696=22.9898x+21.9944\mleft(1-x\mright)[/tex]

Let's simplify and determine x.

Get,

[tex]22.9696=22.9898x+21.9944(1-x)[/tex][tex]22.9696=22.9898x+21.9944-21.9944x[/tex]

Let's proceed adding/subtracting like terms:

[tex]22.9696=22.9898x+21.9944-21.9944x[/tex][tex]21.9944x\text{-}22.9898x\text{ = }21.9944\text{-}22.9696[/tex][tex]\text{ -0.9954x = -0.9752}[/tex][tex]\frac{\text{ -0.9954x}}{-0.9954}\text{ = }\frac{\text{-0.9752}}{-0.9954}[/tex][tex]\text{ x = 0.9797066506 }\approx\text{ 0.9797}[/tex]

Therefore, x = 0.9797

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