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Chapter 2: Polynomial, Power, and Rational Functions

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Section 2-7: Solving Equations in One Variable. Chapter 2: Polynomial, Power, and Rational Functions. Objectives. You will learn about: Solving rational equations Extraneous solutions Applications Why?

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Presentation Transcript
objectives
Objectives
  • You will learn about:
    • Solving rational equations
    • Extraneous solutions
    • Applications
  • Why?
    • Applications involving rational functions as models often require that an equation involving fractions be solved.
vocabulary
Vocabulary
  • Rational Equation
  • Extraneous Solution
calculating acid mixtures
Calculating Acid Mixtures
  • How much pure acid must be added to 50 mL of a 35% acid solution to produce a mixure that is 75% acid?
finding a minimum perimeter
Finding a Minimum Perimeter
  • Find the dimensions of the rectangle with a minimum perimeter if its area is 200 square meters.
designing a juice can
Designing a Juice Can
  • Stewart Cannery will package tomato juice in 2-liter cylindrical cans. Find the radius and height of the cans if the cans have a surface area of 1000 cm2.
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