/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q2. Assume that y聽varies inversely ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q2. (page 671)

Assume that yvaries inversely as x. If y=5when x=鈭�4write an inverse variation equation that relates xand y.

Short Answer

Expert verified

The equation that relates xand yisxy=鈭�20.

Step by step solution

01

Step 1. State the concept of inverse variation. 

Relationship of the form xy=k or y=kxwhere x,y鈮�0 for some nonzero constantk is known as inverse variation i.e.,y varies inversely as x.

02

Step 2. Calculate the constant of variation, k. 

Since yvaries inversely as xan inverse variation equation is given by xy=kso, substitute 5 for y, -4for xinto the equation xy=kand solve for k.

xy=k鈭�4脳5=k鈭�20=k

The constant of variation is k=鈭�20.

03

Step 3. Write the equation that relates x and y.

Since the constant of variation is k=鈭�20. So, the equation that relates andyis xy=鈭�20.x

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

If the line x=a is a vertical asymptote of a rational function, then a is an excluded value.

Find the area of the rectangle shown. Write the answer in simplest form.

State whether each sentence is true or false. If false, replace the underlined word, phrase, expression, or number to make a true sentence.

A rational expression has one or more fractions in the numerator and denominator.

PAINTING Sydney can paint a 60-square foot wall in 40 minutes. Working with her friend Cleveland, the two of them can paint the wall in 25 minutes. How long would it take Cleveland to do the job himself?

Simplify the complex fraction. Show your work.

5x鈭�3x鈭�6x2鈭�x鈭�6
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.