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dmitriy555 [2]
3 years ago
6

Three times a number decreased by 5 equals 10. Write the equation and find that number

Mathematics
1 answer:
KonstantinChe [14]3 years ago
6 0
3x-5=10
To find the number:
3x=10+5
3x=15
x=15/3
x=5
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A. y=1-2x

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-3=1-2(2)

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Evaluate the expression using a calculator:
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The value of the expression is 0.0265. Using exponents and power rules, the required value is calculated.

<h3>What are the exponent and power rules?</h3>

The important exponent and power rules are:

  • a⁻ⁿ = 1/aⁿ; negative exponent
  • (ab)ⁿ = aⁿ × bⁿ; power of a product rule
  • aⁿ × aˣ = aⁿ⁺ˣ; multiplication rule
  • aⁿ/aˣ = aⁿ⁻ˣ; division rule
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<h3>Calculation:</h3>

The given expression is 126^{-3/4}

Using calculator: 126^{-3/4} = 0.0265

Applying the exponent rule for evaluating the given expression:

126^{-3/4}

Applying the negative power rule;

I.e., a⁻ⁿ = 1/aⁿ

⇒ 126^{-3/4}=\frac{1}{126^{3/4}}

Applying fractional exponent rule;

I.e., a^{\frac{x}{y} } = \sqrt[y]{a^x}

⇒ \frac{1}{126^{3/4}}=\frac{1}{\sqrt[4]{126^3} }

⇒ 1/\sqrt[4]{2000376}

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Therefore, the value of the given expression is 0.0265.

Learn more about exponent rules here:

brainly.com/question/11975096

#SPJ1

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