3 years ago

Ali's dog weighs 8 times as much as her cat together, the two cats weigh 54 pounds. how much does Ali's dog weigh

Mathematics

2 answers:

solniwko [45]3 years ago

6 0

Ali's dog weight 864

horrorfan [7]3 years ago

3 0

Ali's dog weighs 864.

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$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

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$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

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$z^2=1\implies z=\pm1\implies x=y=\pm2$

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$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

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