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worty [1.4K]
3 years ago
15

Please, i need help with this equation

Mathematics
1 answer:
Vaselesa [24]3 years ago
3 0

Answer:

B: 3 IS THE ANSWER

Step-by-step explanation:

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Find three real numbers​ x, y, and z whose sum is 6 and the sum of whose squares is as small as possible. g
mart [117]
We're minimizing x^2+y^2+z^2 subject to x+y+z=6. Using Lagrange multipliers, we have the Lagrangian

L(x,y,z,\lambda)=x^2+y^2+z^2+\lambda(x+y+z-6)

with partial derivatives

\begin{cases}L_x=2x+\lambda\\L_y=2y+\lambda\\L_z=2z+\lambda\\L_\lambda=x+y+z-6\end{cases}

Set each partial derivative equal to 0:

\begin{cases}2x+\lambda=0\\2y+\lambda=0\\2z+\lambda=0\\x+y+z=6\end{cases}

Subtracting the second equation from the first, we find

2x-2y=0\implies x=y

Similarly, we can determine that x=z and y=z by taking any two of the first three equations. So if x=y=z determines a critical point, then

x+y+z=3x=6\implies x=y=z=2

So the smallest value for the sum of squares is 2^2+2^2+2^2=12 when (x,y,z)=(2,2,2).
8 0
3 years ago
West middle school ordered 121 boxes of markers. If there are 22 teachers how many boxes does each teacher get? Write answer as
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The answer should be 5.5 because you have to divide it. The fraction would be 5 over 10
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3 years ago
PLEASE HELP ME!!!!!!!!
Nadusha1986 [10]
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Which value of a in the exponential function below would cause the function to stretch?
lesya692 [45]

Answer:

51251552 | \sqrt[ { {).5644}^{2} }^{25} ]{051} |

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3 years ago
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Which point best approximates .....
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Is point B.
Because √3≈1.7.
So it should be B.
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