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cdelomas

h(t)=-15t^2+105t+10,0<t<10. find the times when the tshirt will reach a fan 190 feet abouve ground level. The tshirt will reach the fan at how many seconds.

  • one year ago
  • one year ago

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  1. cdelomas
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    can someone help me please

    • one year ago
  2. cwrw238
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    190 =-15t^2+105t+10 rearranging 15t^2 - 105t + 180 = 0 you need to solve this equation for t

    • one year ago
  3. cdelomas
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    how do I do that

    • one year ago
  4. cwrw238
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    ok first take out the common factor 15 to simplify the problem: 15(t^2 -7t + 12) = 0 now we have to solve the trinomial in the parentheses we need 2 numbers whose product id +12 and whose sum is -7 these are -4 and -3 so it factors to ( t - 4)(t - 3) = 0 ginig t = 3 and t = 4 so your required times are 3 seconds and 4 seconds

    • one year ago
  5. cdelomas
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    so the tshirt will reach the fan at 3 seconds

    • one year ago
  6. cwrw238
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    yea and again at 4 seconds

    • one year ago
  7. cwrw238
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    unless it gets sucked into the fan in 3 seconds!

    • one year ago
  8. cwrw238
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    if so its just as well its a tshirt

    • one year ago
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