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3 years ago

Four times a number is equal to five times the same number plus five. What is the number?

Mathematics

1 answer:

suter [353]3 years ago

5 0

Answer:

Five times a number plus four times the same number is equal to 360. The number is 40. 5n + 4n = 360; 9n = 360; n = 360/9; n = 40

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

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

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

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

$L_\lambda=5x^2+5y^2+2z^2-42=0$

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

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

There are two critical points, at which we have

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

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

2nd qestions explanation

put value of x=2 in equation as x-2=0 from equation

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3 years ago