Question

Need help immediately! Please help as much as you can!!!

Answer 1

Step 1

Write the quadratic formula and use the formula to answer all the questions.

`d\text{ = }(-b\pm√(b^2-4ac))/(2a)`

Step 2

Aubrey's

`\begin{gathered} A_3(d)\text{ = }-0.25d^2+10d+3 \\ -0.25d^2+10d+3\text{ = 0} \\ Refine \\ -25d^2+1000d+300=0 \\ a\text{ = -25 , b = 1000 , c = 300} \\ d_(1,\:2)=(-1000\pm√(1000^2-4\left(-25\right)\cdot\:300))/(2\left(-25\right)) \\ d_(1,\:2)=(-1000\pm \:100√(103))/(2\left(-25\right)) \\ d_1=(-1000+100√(103))/(2\left(-25\right)),\:d_2=(-1000-100√(103))/(2\left(-25\right)) \\ d=-0.297,\text{ }\:d=40.29778 \\ d\text{ = 40.3ft} \end{gathered}`

Step 3

Kellen's

`\begin{gathered} K_3(d)=-0.4d^2+13d+3.5 \\ Refine \\ -4d^2+130d+35=0 \\ d_(1,\:2)=(-130\pm √(130^2-4\left(-4\right)\cdot \:35))/(2\left(-4\right)) \\ d_(1,\:2)=(-130\pm \:6√(485))/(2\left(-4\right)) \\ d_1=(-130+6√(485))/(2\left(-4\right)),\:d_2=(-130-6√(485))/(2\left(-4\right)) \\ d=-(-65+3√(485))/(4),\:d=(65+3√(485))/(4) \\ d=-0.2670\:,\text{ }d=32.76703 \\ d\text{ = 32.8 ft} \end{gathered}`

Final answer

Aubrey's shot outside the platform because 40.3 > 37.

c) Kellen's is the closest