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OpenStudy (anonymous):
applications of quadratics Exploring Non-Linear Systems and Growth question
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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
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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?
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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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