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Pg. 244 Homework Pg. 244#2 – 18 even #1-7/2#3 #5x = 1#7x = -1, 0, 1 #9#11(-∞, 11/4)U(3, ∞) #13 (-∞, 7/2)U(38/9, ∞) #15 (-13/2, -4) #17 (-∞, -1]U[1, ∞)#19(-∞,

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Presentation on theme: "Pg. 244 Homework Pg. 244#2 – 18 even #1-7/2#3 #5x = 1#7x = -1, 0, 1 #9#11(-∞, 11/4)U(3, ∞) #13 (-∞, 7/2)U(38/9, ∞) #15 (-13/2, -4) #17 (-∞, -1]U[1, ∞)#19(-∞,"— Presentation transcript:

1 Pg. 244 Homework Pg. 244#2 – 18 even #1-7/2#3 #5x = 1#7x = -1, 0, 1 #9#11(-∞, 11/4)U(3, ∞) #13 (-∞, 7/2)U(38/9, ∞) #15 (-13/2, -4) #17 (-∞, -1]U[1, ∞)#19(-∞, -2)U(-1, 5) #35#36Graph #37 R 2 = 6.52 ohms

2 4.3 Equations and Inequalities with Rational Functions Solve the Rational EquationsSolve the Rational Inequalities

3 4.3 Equations and Inequalities with Rational Functions Steps to solving Rational Equations Find a common denominator on each side of the equal sign, if needed. Simplify the numerator(s). Multiply up the denominator(s). Combine like terms and set the equation equal to zero. Solve for x. Check for the validity of your answers in the original equation. Steps to solving Rational Inequalities Find a common denominator on each side of the equal sign, if needed. Simplify the numerator(s). Subtract over any constants so the inequality is set to zero. Find a common denominator. Simplify the numerator. Factor the numerator and denominator. Create a sign pattern for the factors to find your answer.

4 4.3 Equations and Inequalities with Rational Functions Word Problem!! Josh rode his bike 17 miles from his home to Columbus, Ohio, and then completed a 53 mile car trip from Columbus to Mansfield, Ohio. Assume the average rate of the car was 43 mph faster than the average rate of the bike. – Find an algebraic representation for the total time T required to complete the 70 mile trip as a function of the average rate x of the bike. – Find a complete graph, including any zeros and asymptotes. – What values of x make sense for this problem situation? – If the total trip was one hour and forty minutes, what was the bike’s rate?


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