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Anestetic [448]
3 years ago
10

Find a solution to the linear equation 6x+y=6

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
5 0

Answer:

y = -6x + 6

Step-by-step explanation:

Unless you are asking for solving the linear equation itself, the answer would be y = -6x + 6.

If you were trying to set up systems and then solve for actual solutions, you would need two equations. I will go with solving the linear equation, but if you meant solving systems, the answer cannot be found.

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Nikki says that a number and its absolute
AVprozaik [17]

Answer:

The absolute value of any number will always be positive meaning that if you start with a positive number the sum of its absolute value will not be zero. Although if you start out with a negative number the sum of its absolute value will be zero.

Step-by-step explanation:

8 0
3 years ago
Please help me with this plz
NeX [460]

Answer:

A yes

B  yes

C  No

D  No

Step-by-step explanation:

If it is a function then the first number in the ordered pair is use only one time.

5 0
3 years ago
guse lagrange multipliers to find the maximum or minimum values of the function subject to the given constraint. (if an answer d
Novosadov [1.4K]

Therefore the maximum value of function f(x,y,z)=x^{2} y^{2} z^{2} =1/27

And the minimum value is 0

<h3>What is function?</h3>

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable) (the dependent variable) (the dependent variable). Mathematics uses functions frequently, and functions are essential for specifying physical relationships in the sciences.

Here,

The function is given as:

f(x,y,z)=x^{2} y^{2} z^{2}

x^{2} +y^{2}+ z^{2}=1

=>x^{2} +y^{2}+ z^{2}-1=0

Using Lagrange multiplies, we have:

L(x,y,z,λ)=f(x,y,z) +λ(0)

Substitute f(x,y,z)=x^{2} y^{2} z^{2}  and x^{2} +y^{2}+ z^{2}-1=0

Differentiate

L(x)=2xy^{2} z^{2}+2λx

L(y)=2yx^{2} z^{2}+2λy

L(z)=2zx^{2} y^{2}+2λz

L(λ)=x^{2} +y^{2}+ z^{2}-1

Equating to 0

2xy^{2} z^{2}+2λx =0

2yx^{2} z^{2}+2λy = 0

2zx^{2} y^{2}+2λz = 0

x^{2} +y^{2}+ z^{2}-1 = 0

Factorize the above expressions

2xy^{2} z^{2}+2λx =0

2x(y^{2} z^{2}+λ)=0

2x=0 and (y^{2} z^{2}+λ)=0

x=0 and  y^{2} z^{2}= -λ

2yx^{2} z^{2}+2λy = 0

2y(x^{2} z^{2}+λ)=0

2y=0 and (x^{2} z^{2}+λ)=0

y=0 and  x^{2} z^{2}= -λ

2zx^{2} y^{2}+2λz = 0

2z(y^{2} x^{2}+λ)=0

2z=0 and (x^{2} y^{2}+λ)=0

z=0 and  x^{2} y^{2}= -λ

So we have ,

x=0 and  y^{2} z^{2}= -λ

y=0 and  x^{2} z^{2}= -λ

z=0 and  x^{2} y^{2}= -λ

The above expression becomes

x=y=z=0

This means that,

x^{2} +y^{2}+ z^{2}=1

x^{2} +x^{2}+ x^{2} =1 \\3x^{2 } =1

x= ±1/\sqrt{3}

So,

y= ±1/\sqrt{3}

z= ±1/\sqrt{3}

The critic points are

x=y=z=±1/\sqrt{3}

x=y=z=0

Therefore the maximum value of function f(x,y,z)=x^{2} y^{2} z^{2} =1/27

And the minimum value is 0

To know  more about function , visit

brainly.com/question/12426369

#SPJ4

3 0
1 year ago
Find the circumference of the object Use 3.14 or 22 for for T. Round to the nearest hundredth if necessary 11.4 in. The circumfe
ololo11 [35]

Answer:

35.80

Step-by-step explanation:

3.14 \times 11.4 = 35.796

Simplify & Round

35.796 ---> 35.80

Awnser = 35.80

8 0
3 years ago
I'm designing a large container... Cost for the top is 10 per square foot... Sides is 2.50..... bottom is 15.... Container must
vovangra [49]

Answer:

41 sq feet

Step-by-step explanation:

7 0
3 years ago
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