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y=-4.9^2+200 find y when x=3

 May 11, 2016
 #1
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There is no 'x' in the equation.....did you forget it???

 May 11, 2016
 #2
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Here's the thing. a tennis ball is dropped from the top of a tall building. The ball's height y, in meters, x seconds after it is released is y= - 4.9^2+200

 May 11, 2016
 #3
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OK...then it SHOULD read something like   y = -4.9 t^2 +200     t=x

-4.9(3)^2 +200 = 155.9

                           =

ElectricPavlov  May 11, 2016
 #4
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Then it says when is the ball dropped 30 meters above the ground? & when does the ball hit the ground?

 May 11, 2016
 #5
avatar+37170 
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y = 30 = -4.9 t^2 + 200

     -170 = -4.9 t^2

     170/4.9 = t^2

      t = 5.89 sec when the ball is still 30 meters above the ground.

 

When the ball HITS the ground, y = 0       0 = -4.9t^2 + 200    results in t = 6.389 seconds

ElectricPavlov  May 11, 2016
 #6
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How do you write this in general and factored form?

y=3(x-2)^2-27 ??

 May 11, 2016
 #7
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y = 3 (x-2)^2 - 27

  = 3 (x^2-4x + 4) - 27

  = 3x^2 -12x + 12 - 27

  = 3x^2 -12x - 15

 = 3(x^2-4x-5)

y = 3 (x-5)(x+1)

ElectricPavlov  May 11, 2016

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