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Sagot :

Step-by-step explanation:

Pt.1

  • Andre kick highest kick yardage was 17.
  • We can find Juana kick yard by doing the extremes quadratic rule

[tex] \frac{ - b}{2a} [/tex]

where b is the coefficient and a is the leading coefficient.

[tex] \frac{ - 14}{ - 2} = 7[/tex]

Plug 7 in for x.

[tex] - {7}^{2} + 14(7) - 24 = 25[/tex]

  • So joanna yardage is 25.
  • Kevin max yardage looks between 10 and 15.
  • Emilio max yardage is 20

Juanna has kicked the highest.

Pt.2. We need to find who kicked the longest.

  • Andre started at 12 and finished at 48 so he kicked 36 yards
  • Kevin started at 0 and ended at 20 so he kicked 20 yards.

We can find Juanna and Emiko where she started and ended.

Emiko:

Notice how she starts at 10 and her max,20 is at when x=18 then it starts decreasing so this means at

x=26, she will be at ground level again so

  • her kick yardage is 16.

Juanna:

We can find the two roots to make the equation zero.

[tex] - {x}^{2} + 14x - 24[/tex]

Factor out a -

[tex] - ( {x}^{2} - 14x + 24)[/tex]

We must think of two numbers that add to negative 14 and multiply to 24.

[tex](x - 12)(x - 2)[/tex]

Set both equal to zero.

[tex]x - 12 = 0[/tex]

[tex]x = 12[/tex]

[tex]x - 2 = 0[/tex]

[tex]x = 2[/tex]

So this means that

  • Joanna kick yardage was 10
  • This means Andre kicked the farthest.
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