Irecently took a test in my algebra 1 class. this was on the test (that i most likely failed)and it said something about vertical motion. the problem is below. try to solve it, ! !
2=-t^2+4+5

OK.                                         2 = -t² + 4t + 5

Subtract 2 from each side:     0 = -t² + 4t + 3

Multiply the right side by  -1 :  0 = t² - 4t - 3

Unfortunately, this can't be factored.  The only other way I know
to find the solutions to a quadratic equation is with the use of the
quadratic formula.  When you do that, you get these solutions:

     t = 2 + √7 = about  4.65
and
     t = 2 - √7 = about  -0.65 .

If this equation comes from a problem that involves real people throwing
real things into the air and making vertical motion, then you want only the
positive solution.

32

step-by-step explanation:

these are your clues: 1. kim ran 18 races2. this was four fewer races than twice thenumber, notice it says twice the number, so you would do the equation 18x2-4; which equals the number 32.thus, 32 is your answer.