If f(x) = 6x3 – 11x2

Mathematics

1 answer:

Vsevolod [243]3 years ago

5 0

Answer:

f(6)
g(8)

f(3)=0

Step-by-step explanation:

its a mathematics formula its ia trick

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Given points A (-3,-4) and B (2,0), points P (-1,-12/5) partitions line AB in the ratio

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$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&A&(~ -3 &,& -4~) 
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\end{array}
\\\\\\
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\\\\\\
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\\\\\\
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\\\\\\
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\\\\\\
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$\bf \begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
&P&(~ -1 &,& -\frac{12}{5}~) 
&B&(~ 2 &,& 0~)
\end{array}
\\\\\\
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\\\\\\
PB=\sqrt{(2+1)^2+\left( \frac{12}{5} \right)^2}\implies PB=\sqrt{9+\frac{144}{25}}\implies PB=\sqrt{\cfrac{369}{25}}
\\\\\\
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so, let's check the ratio of AP:PB

$\bf AP:PB\implies \cfrac{AP}{PB}\implies \cfrac{\frac{2\sqrt{41}}{5}}{\frac{3\sqrt{41}}{5}}\implies \cfrac{2\underline{\sqrt{41}}}{\underline{5}}\cdot \cfrac{\underline{5}}{3\underline{\sqrt{41}}}\implies \cfrac{2}{3}$

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