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$100. $100. $100. $100. $200. $200. $200. $200. $300. $300. $300. $300. $300. $400. $400. $500. $500. $500. $500. $500. $100. $200. $400. $400. $400. Solving Quadratic Functions by completing the square. Applications of quadratic functions.

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  1. $100 $100 $100 $100 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $500 $500 $500 $500 $500 $100 $200 $400 $400 $400

  2. Solving Quadratic Functions by completing the square

  3. Applications of quadratic functions

  4. Solving Quadratic Equations with Square Roots

  5. Quadratic Formula

  6. Classifying Functions

  7. Solving Quadratic Functions by completing the square Applications of quadratic functions Solving Quadratic Equations with Square Roots Classifying Functions Quadratic Formula $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500

  8. Completing the square$100 Use completing the square to solve a2 + 14a − 51 = 0 Write your answer in simplest radical form.

  9. Completing the square $200 Use completing the square to solve x2 + 14x − 15 = 0 Write your answer in simplest radical form.

  10. Completing the square $300 Use completing the square to solve k2 − 12k + 23 = 0 Write your answer in simplest radical form.

  11. Completing the square - $400 5k2 = 60 − 20k

  12. Completing the square - $500 8x2 + 16x = 42

  13. Applications with quadratic functions $100 We are going to fence in a rectangular field and we know that for some reason we want the field to have an enclosed area of 75 ft2.  We also know that we want the width of the field to be 3 feet longer than the length of the field.  What are the dimensions of the field? Round your answer to the nearest tenth.

  14. Applications $200 A ball is thrown straight up, from 3 m above the ground, with a velocity of 14 m/s. When does it hit the ground? Use the function h = 3 + 14t − 5t2 .

  15. Applications $300 The height, , in feet of an object above the ground is given by h = -16t2 + 64t +190 where t is the time in seconds. Find the time it takes the object to strike the ground and find the maximum height of the object.

  16. Application $400 A soccer ball bounces straight up into the air off of the head of a soccer player form an altitude of 6 feet with an initial velocity of 40 feet per second. Use the function s = -16t2 + v0t + s0to determine how long does it take the ball to reach the earth?

  17. Application $500 An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. What will be the object's maximum height? When will it attain this height?

  18. Solving Quadratic Equations with Square Roots- $100

  19. Solving Quadratic Equations with Square Roots- $200

  20. Solving Quadratic Equations with Square Roots- $300

  21. Solving Quadratic Equations with Square Roots- $400

  22. Solving Quadratic Equations with Square Roots- $500

  23. Quadratic Formula- $100 Write your answer in simplest radical form if needed

  24. Quadratic Formula- $200 Write your answer in simplest radical form if needed

  25. Quadratic Formula- $300 Write your answer in simplest radical form if needed

  26. Quadratic Formula- $400 Write your answer in simplest radical form if needed

  27. Quadratic Formula- $500

  28. Classifying Functions- $100 Tell whether the table of values represents a linear, exponential, quadratic, or Neither:

  29. Classifying Functions - $200 Tell whether the table of values represents a linear, exponential, quadratic, or Neither:

  30. Classifying Functions - $300 Tell whether the table of values represents a linear, exponential, quadratic, or Neither:

  31. Classifying Functions - $400 Tell whether the table of values represents a linear, exponential, quadratic, or Neither: :

  32. Classifying Functions- $500 Tell whether the table of values represents a linear, exponential, quadratic, or Neither:

  33. Completing the square $100 {3, −17}

  34. Completing the square $200 {1, −15}

  35. Completing the square $300

  36. Completing the square $400 {2, −6}

  37. Completing the square $500

  38. Applications with quadratic functions $100 So, we have one positive and one negative. From the stand point of needing the dimensions of a field the negative solution doesn’t make any sense so we will ignore it. Therefore, the length of the field is 7.2892 feet. The width is 3 feet longer than this and so is 10.2892 feet.

  39. Applications $200 The "t = −0.2" is a negative time, impossible in our case. The "t = 3" is the answer we want: The ball hits the ground after 3 seconds!

  40. Applications $300 Since t represents time, we must throw out –1.98. Therefore, it takes 5.98 seconds for the object to strike the ground. And at that time, the maximum height is 254 feet. .

  41. Applications $400 2.6 seconds

  42. Applications $500 It takes two seconds to reach the maximum height of 144 feet.

  43. Solving Quadratic Equations with Square Roots- $100

  44. Solving Quadratic Equations with Square Roots- $200

  45. Solving Quadratic Equations with Square Roots- $300 No Solution

  46. Solving Quadratic Equations with Square Roots- $400

  47. Solving Quadratic Equations with Square Roots- $500

  48. Quadratic Formula- $100

  49. Quadratic Formula- $200

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