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NO HOMEWORK QUIZ TURN IN WORK!!!!!! Rational Review.

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Presentation on theme: "NO HOMEWORK QUIZ TURN IN WORK!!!!!! Rational Review."— Presentation transcript:

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2 NO HOMEWORK QUIZ TURN IN WORK!!!!!!

3 Rational Review

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11 As X approaches infinity

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13 Asymptotes and Discontinuity

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20 Domain and Range

21 Translation

22 Inequality

23 Most tunnels are drilled using tunnel-boring machines that begin at both ends of the tunnel. Suppose a new underwater tunnel is being built and one tunnel-boring machine alone can finish the tunnel in 4 years. A different type of machine can tunnel to the other side in 3 years. If both machines start at opposite ends and work at the same time, when will the tunnel be finished?

24 Let x = number of years together

25 Equation:

26 Let x = number of years together Equation:

27 Solve equation: multiply by common denominator (4)(3)(x).

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32 If both machines work toward each other it will take 1.7 years to finish the tunnel.

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34 A car travels 300 km in the same time that a freight train travels 200 km. The speed of the car is 20 km/hr more than the speed of the train. Find the speed of the car and the speed of the train.

35 Let x = speed of train Let x + 20 = speed of car

36 A car travels 300 km in the same time that a freight train travels 200 km. The speed of the car is 20 km/hr more than the speed of the train. Find the speed of the car and the speed of the train. Let x = speed of train Let x + 20 = speed of car

37 Use the formula d = rt. Solve for “t”.

38 t = d/r Use the formula d = rt. Solve for “t”.

39 t = d/r Use the formula d = rt. Solve for “t”.

40 t = d/r Use the formula d = rt. Solve for “t”.

41 t = d/r Use the formula d = rt. Solve for “t”.

42 Solve: multiply by the common denominator (x + 20)(x).

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47 Speed of train = x = 40 km/hr

48 Speed of car = x + 20 = 60 km/hr

49 Speed of train = x = 40 km/hr Speed of car = x + 20 = 60 km/hr

50 A boat travels 20 miles upstream(means against the current) with a current going 4 miles/hour. The boat makes the trip THERE AND BACK in 5 hours. What is the SPEED OF THE BOAT?

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