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vaieri [72.5K]
3 years ago
5

ac{1}{2x} | = 3" alt="5 - | \frac{1}{2x} | = 3" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Ivahew [28]3 years ago
7 0

\text{The domain:}\ x\neq0\\\\5-\left|\dfrac{1}{2x}\right|=3\qquad\text{Subtract 5 from both sides}\\\\-\left|\dfrac{1}{2x}\right|=-2\qquad\text{change the signs}\\\\\left|\dfrac{1}{2x}\right|=2\iff\dfrac{1}{2x}=2\ \vee\ \dfrac{1}{2x}=-2\\\\\dfrac{1}{2x}=\dfrac{2}{1}\ \vee\ \dfrac{1}{2x}=\dfrac{-2}{1}\qquad\text{cross multiply}\\\\(2)(2x)=(1)(1)\ \vee\ (2x)(-2)=(1)(1)\\\\4x=1\ \vee\ -4x=1\qquad\text{divide both sides by 4, (-4)}\\\\\boxed{x=\dfrac{1}{4}\ \vee\ x=-\dfrac{1}{4}}

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Inessa05 [86]
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3 years ago
Sal currently has $100 in a savings account and is saving $20 per week, while his brother Bill has $400 in
vitfil [10]

Answer: 10 weeks

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8 0
3 years ago
Jonathon is using a six-sided die to conduct an experiment. What would be the probability that the die would land on the number
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5 0
3 years ago
49= how many feet and inches
pychu [463]

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Step-by-step explanation:

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4 0
4 years ago
Read 2 more answers
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Afina-wow [57]
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7 0
3 years ago
Read 2 more answers
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