Respuesta :

First you do -5t squared, you do -5*-5 to get positive 25t and add it to 25t to get 50t and 2. In order to get the answer you have to divide 50 by 2 since 2 needs to also get rid of, so 50/2=25t! So t=25

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

I like to let a graphing calculator or spreadsheet do repetitive calculations. It is well worth the few minutes it takes to learn how to enter a formula into any of the available free spreadsheet programs. The Desmos graphing calculator is amazing in its versatility and usefulness.

There are a couple of things that can help make it easier to construct a table of values.

1) recognize the axis of symmetry for this quadratic is ...

  x = -b/(2a) = -25/(2(-5)) = 2.5

So, choosing numbers either side of t=2.5 will cut your work in half.

  h(2) = h(3)

  h(1) = h(4) . . . for example

2) use Horner form to make manual evaluation easier.

  h = (-5t +25)t +2  or  = (5 -t)(5t) +2

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Attached is a table of values, and their plot on a graph.

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