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2.3 Solving Linear and Quadratic Equations Algebraically

2.3 Solving Linear and Quadratic Equations Algebraically. Pg. 89 # 13-24 all Pg. 97 # 14 – 20 even, 22 – 26 all, 34 – 40 all, 44

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2.3 Solving Linear and Quadratic Equations Algebraically

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  1. 2.3 Solving Linear and Quadratic Equations Algebraically • Pg. 89 # 13-24 all Pg. 97 #14 – 20 even, 22 – 26 all, 34 – 40 all, 44 • A shoe manufacturer determines that the annual cost C of making x pairs of shoes is $30 per pair plus $100,000 in fixed overhead costs. Each pair of shoes that is manufactured is sold for $50 per pair. • Write an algebraic representation for the total cost C in terms of the number of pairs x sold. • Find a complete graph of the problem situation. • Find the number of shoes produced if the total cost is $340,000. • Write an algebraic representation for the revenue R in terms of the number of pairs x produced. • How many pairs of shoes must be sold for the shoe manufacturer to break even?

  2. 2.3 Solving Linear and Quadratic Equations Algebraically • A semicircle is placed on one side of a square so that its diameter coincides with a side of the square. Find the side length of the square if the total area of the square plus the semicircle is 200 square units.

  3. 2.3 Solving Linear and Quadratic Equations Algebraically Solving Equations We will now derive the Quadratic Formula!! You MUST know how to derive this for your next test! • Best things about solving equations… • You can check your answer!! • There are many ways to solve equations. So far, we’ve seen: • Linear • Absolute Value • Quadratic Formula • Factoring • Completing the Square

  4. 2.3 Solving Linear and Quadratic Equations Algebraically Solve for x algebraically:

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