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Pregunta

Welch Pearson

01/06/2024 · escuela secundaria

3) Which is the reciprocal of the expression (3x-y)/5

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expertRespuesta verificada por expertos

Schultz Kelly
Experienced Tutor
4.0 (46votos)

\(\frac { 5} { 3x - y} \)

 

Solución

  1. The reciprocal of a fraction \(\frac { a} { b} \) is \(\frac { b} { a} \).
  2. Apply this to the given expression \(\frac { 3x - y} { 5} \).
  3. The reciprocal is \(\frac { 5} { 3x - y} \).

 

Supplemental Knowledge

The reciprocal of a number or expression is what you multiply by to get 1. For a fraction \(\frac { a} { b} \), the reciprocal is \(\frac { b} { a} \). This concept extends to algebraic expressions as well.

 

Everyday Examples

Reciprocals can come in handy in numerous real-life applications, from calculating rates and unit conversion to solving equations and equation solving. Knowing speed (distance/time), for instance, provides us with time per unit distance as an answer if using reciprocals correctly.

 

To master algebraic concepts like reciprocals and other mathematical skills, explore UpStudy’s live tutor question bank or our AI-powered problem-solving services. Our resources provide detailed explanations and interactive learning experiences tailored to your needs.
For those looking to enhance their mathematical skills further, UpStudy offers comprehensive guides that make learning both engaging and effective!

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