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anonymous

  • 5 years ago

vertex and roots of f(t)-16t^2+70t+4

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  1. anonymous
    • 5 years ago
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    f(t)=-16^2+70t+4 sorry

  2. dumbcow
    • 5 years ago
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    f'(t) should be -32t + 70 to find vertex set equal to 0

  3. anonymous
    • 5 years ago
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    ahhh sorry it's -16t^2+70+4 we're supposed to find -b/2a to find t, then plug that in the find vertex, and then the roots i came up with were 35+or-sqrt1097 divided by 16

  4. dumbcow
    • 5 years ago
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    sorry about that, vertex looks good check the sqare root part in the quadratic formula

  5. dumbcow
    • 5 years ago
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    i get 35 +- sqrt(1289) divided by 16

  6. anonymous
    • 5 years ago
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    b^2=35*35=1225 4ac=4(8)(4)=128 1225-128=1097? I think thats right, its asking for x-intercepts to graph it. how do i graph this?

  7. dumbcow
    • 5 years ago
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    redo the problem, this time looking closely at the signs.

  8. anonymous
    • 5 years ago
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    -4 got it. thank you!!!!!!!

  9. dumbcow
    • 5 years ago
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    4ac = 4(-8)(2)

  10. anonymous
    • 5 years ago
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    ooooh yeah. haha. thank you so much. but that means there are no x-intercepts right?

  11. dumbcow
    • 5 years ago
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    ok so now x = (35+- sqrt(1289))/16 those two x values are your x-intercepts graph them as 2 points. (x1,0) and (x2,0)

  12. dumbcow
    • 5 years ago
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    get a graphing calculator to check your answers

  13. anonymous
    • 5 years ago
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    but you can't graph that what we got for x

  14. dumbcow
    • 5 years ago
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    do you mean on a graphing calculator or by hand

  15. anonymous
    • 5 years ago
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    so like the question is about baseball and how long it takes for the ball to hit the ground and after how many seconds. when i graph it, (0,4) is the y-int, (35/16, 1289/16) is the vertex (or the highest point the ball gets to) and then to figure out when the ball lands on the ground would be the x-int

  16. dumbcow
    • 5 years ago
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    the x-int would be one of the answers derived from the quadratic formula.

  17. anonymous
    • 5 years ago
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    even if its like never ending full of decimals? would i just round it up?

  18. dumbcow
    • 5 years ago
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    yes round to two or three decimal places depending on what your teacher prefers.

  19. anonymous
    • 5 years ago
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    oh ok. i think i got it this time then. thanks for all your help! =]

  20. dumbcow
    • 5 years ago
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    you're welcome. next time you ask for help it would be beneficial to state the entire problem not just the part you're stuck on. it gives me context. Thanks!

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