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user100 [1]
2 years ago
6

Choose the correct simplification of the expression 9 over h to the power of negative 3. h to the 3rd power over 9 9 over h to t

he 3rd power 9h3 This expression is already simplified.
Mathematics
2 answers:
trapecia [35]2 years ago
5 0

Answer: C = 9h^3

Mark brainliest!

pashok25 [27]2 years ago
3 0

Answer:

Hence, the simplified expression for the term  \dfrac{9}{h^{-3}} is:

9h^3.

Step-by-step explanation:

We are given a statement as:

expression 9 over h to the power of negative 3.

i.e. \dfrac{9}{h^{-3}}

As the variable term in the denominator is of negative power hence we will try to make the variable term power positive by shifting the term to the numerator.

Hence, This expression could also be written as:

9h^3

Hence, the simplified expression for the term  \dfrac{9}{h^{-3}} is:

9h^3.



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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
velikii [3]

Answer:

The maximum value= 36

Minimum value = - 36

Step-by-step explanation:

Given that

f(x, y, z) = 8 x + 8 y + 4 z

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From Lagrange multipliers

Δf = λ Δh

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Δh = < 8 x ,8 y  , 8 z>

Δf = λ Δh

So

< 8 ,8 , 4> = < 8  λ x ,8 λ y  , 8 λ z>

8 = 8  λ x                     -------------1

8 = 8 λ y                      ----  ------2

4 = 8 λ z                    ----------------3

From equation 1 ,2 and 3

Now by putting the value of x,y and z in the following equation

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So the value of λ is

\lambda =\pm \dfrac{1}{2}

When λ = 1/2

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x= 2 , y = 2 , z=1

So

f(x, y, z) = 8 x + 8 y + 4 z

f(2, 2, 1) = 8 x 2 + 8 x 2 + 4 x 1

f(2, 2, 1) =36

When λ = - 1/2

x = 1 / λ   , y=1 / λ   ,  z= 1 /2 λ

x= - 2 , y = - 2 , z= - 1

So

f(x, y, z) = 8 x + 8 y + 4 z

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7 0
3 years ago
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Step-by-step explanation:

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3 0
3 years ago
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zhannawk [14.2K]
I believe the answer is:

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Answer:

The answer is D.

Step-by-step explanation:

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2 - (-2) = 4

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