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cluponka [151]
3 years ago
7

What is 4.74 divided by 0.06 (needed by this Friday, today is Tuesday, March 5th, I also need to know what 19.44 divided by 0.54

is by Friday. I also need a picture/ video on how to solve it ty!
Mathematics
1 answer:
sladkih [1.3K]3 years ago
7 0

4.74/.06=79

19.44/.54=36

I used a calculator. You can change each decimal into a fraction to solve too.

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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

5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1

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There are two critical points, at which we have

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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3 years ago
If 2(6 + 3x) + 1 = - 5 + 3(x - 1), what is the value of x?
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Answer: x = -7

Step-by-step explanation:

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6x + 13 - 3x = 3x - 8 - 3x

3x + 13 = -8

3x + 13 - 13 = -8 - 13

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