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Mathematics 10 Online
OpenStudy (anonymous):

applications of quadratics Exploring Non-Linear Systems and Growth question

OpenStudy (anonymous):

OpenStudy (anonymous):

@thomaster @hartnn do either of you know how to do this?

OpenStudy (anonymous):

replace \(s\) by \(100\) and \(v\) by \(60\)

OpenStudy (anonymous):

for part a?

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

so i it -16t^2+60t+100

OpenStudy (anonymous):

*is

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

Ok what about part B

OpenStudy (anonymous):

you know how to find the maximum value of a quadratic?

OpenStudy (anonymous):

in this case it has a max because the leading coefficient is negative (it is \(-16\)) the max is the second coordinate of the vertex

OpenStudy (anonymous):

the first coordinate of the vertex of \(y=ax^2+bc+c\) is always \(-\frac{b}{2a}\) in your case this is \(-\frac{60}{2\times (-2)}=\frac{15}{8}\)

OpenStudy (anonymous):

the second coordinate of the vertex is what you get when you replace \(t\) by \(\frac{15}{8}\)

OpenStudy (anonymous):

would it go on and be \[100-\frac{ 15 }{ 8 }\] @satellite73

OpenStudy (anonymous):

@radar @robtobey could any of you help me finish this problem

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