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Elenna [48]
3 years ago
5

The piecewise function h(x) is shown on the graph. What is the value of h(3)?

Mathematics
1 answer:
lesya692 [45]3 years ago
5 0

Answer:

In the given graph h(x)

When x=3, h(3)=1

<u>1</u> is the right answer.

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Simplify 5t + (t - 3) - [(7t + 5) - (8 - 3t)].<br> -4t<br> 4t<br> -10t<br> 10t
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Answer:

(A)   - 4t

Step-by-step explanation:

5t + (t - 3) - [(7t + 5) - (8 - 3t)] =5t + (t - 3) - [7t + 5 - 8 + 3t] =

= 5t + (t - 3) - [10t -3 ] = 5t + t - 3 - 10t + 3 = - 4t

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Use Lagrange multipliers to minimize the function subject to the following two constraints. Assume that x, y, and z are nonnegat
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Complete Question

The complete question is shown on the first uploaded image

Answer:

Option C is the correct option

Step-by-step explanation:

From the question we are told that

   The equation is  f (x, y , z ) =  x^2 +y^2 + z^2

    The constraint is  P(x, y , z) = x + y + z - 24 =   0

Now using Lagrange multipliers  we have that  

   \lambda =  \frac{ \delta f }{ \delta x } =  2 x  

   \lambda =  \frac{ \delta f }{ \delta y }  = y  

   \lambda =  \frac{ \delta f }{ \delta z }  = 2 z

=>       x =  \frac{ \lambda }{2}

          y =  \frac{ \lambda }{2}

         z =  \frac{ \lambda }{2}

From the constraint  we have

      \frac{\lambda }{2}  + \frac{\lambda }{2}  + \frac{\lambda }{2}  = 24

=>   \frac{3 \lambda }{2}  = 24

=>   \lambda  =  16

substituting for x, y, z

=>   x =  8

=>  y =  8

=>   z =  8        

Hence

    f (8, 8 , 8 ) =  8^2 +8^2 + 8^2

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17,524 round to the nearest thousand?
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