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# Algebra

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For $y=\frac{x-4}{4x-10}$ and $x\neq 2$, what is the value of $y$ that is not attainable? Express your answer as a common fraction.

Jan 15, 2022

#1
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what is the value of y that is not attainable?

Hello Guest!

$$y=\frac{x-4}{4x-10}\ and\ \ x\neq 2$$

$$y=\frac{100000-4}{4\cdot 100000-10}=0.249996...$$

$$\frac{1}{4}\notin \{values\ of\ y\}$$

!

Jan 15, 2022
edited by asinus  Jan 15, 2022