Answer :
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.