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Liono4ka [1.6K]

2 years ago

12

The current temperature in Smalltown is 20 degrees. This is 6 degrees less than twice the temperature(t) that it was six hours a

go. What was the temperature(t) in Smalltown six hours ago?
PLS HELLLP!!!!

1 answer:

tia_tia [17]2 years ago

6 0

Sorry , i rlly need the points

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$\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}$

$\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25$

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Matematicamente, a altura máxima pode ser obtida

A altura máxima é simplesmente o vértice da parábola

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Agora, substitua x = 0 de volta na equação temos

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