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Rational Review

Rational Review. Asymptotes and Discontinuity. Asymptotes and Discontinuity. Asymptotes and Discontinuity. Asymptotes and Discontinuity. Asymptotes and Discontinuity. Asymptotes and Discontinuity. Variation. Domain and Range. Translation. Inequality.

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Rational Review

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  1. Rational Review

  2. Asymptotes and Discontinuity

  3. Asymptotes and Discontinuity

  4. Asymptotes and Discontinuity

  5. Asymptotes and Discontinuity

  6. Asymptotes and Discontinuity

  7. Asymptotes and Discontinuity

  8. Variation

  9. Domain and Range

  10. Translation

  11. Inequality

  12. 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?

  13. Let x = number of years together

  14. Let x = number of years together Equation:

  15. Let x = number of years together Equation:

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

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

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

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

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

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

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

  23. 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.

  24. 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

  25. A car travels 300 km in thesame timethat 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

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

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

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

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

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

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

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

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

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

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

  36. Speed of train = x = 40 km/hr

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

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

  39. 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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