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olchik [2.2K]
3 years ago
11

Use the method of Gauss-Jordan elimination (trails—forming (lie augmented matrix into reduced echelon form) to solveProblem in S

ection 3.2In Problems, use elementary row operations to transform each augmented coefficient matrix to echelon form. Then solvethe system by back substitution2x1+4fl—x3—2x4+2x5=6x1+3x2+2x3—7x4+3x5=95x1+8fl—7X3+6x4+x5=4

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
7 0

Answer:

Step-by-step explanation:

Answer is in below attachment

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2 years ago
Among all pairs of numbers whose difference is 20, find a pair whose product is as small as possible. what is the minimum produc
Elza [17]

Answer:

-100

-10, 10

Step-by-step explanation:

Let the smaller number be x.

Then the larger number is x + 20.

The product is x(x + 20).

Now you can write the function

y = x(x + 20)

y = x^2 + 20x

Take the first derivative of y with respect to x.

y' = 2x + 20

Set the first derivative equal to zero to find the x value for the minimum value of the function.

2x + 20 = 0

2x = -20

x = -10

The minimum value of the function occurs at x = -10. -10 is one of the two numbers.

y = x^2 + 20x

For x = -10,

y = (-10)^2 + 20(-10)

y = 100 - 200

y = -100

The minimum value of the product is -100.

x = -10

x + 20 = -10 + 20 = 10

The numbers are -10 and 10.

If you have not learned derivatives yet, then plot the function

y = x^2 + 20x

Now look at the graph and find the minimum y value and the x value at which it occurs.

The minimum y value is -100. That is the minimum product you are looking for.

The x value of the minimum function value is x = -10.

Then x + 20 = -10 + 20 = 10.

The numbers are -10 and 10.

4 0
3 years ago
5x-6y=3 <br> 7y=2x+8 <br> Help me out please
zaharov [31]

Answer:

A) 5x-6y=3

B) 7y=2x+8

B) -2x + 7y = 8  then multiplying "B" by 2.5

B) -5x +17.5y = 20  then adding this to A

A) 5x -6y = 3

11.5y = 23

y = 2

x = 3

Step-by-step explanation:

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3 years ago
What is the constant of variation, k,
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The K-constant variation is the factor of the increase-decrease relationship between the x-variable and y-variable which can be stated as y=k*x or x=y/k<span>. For example, if y variable equal 5 and the x variable equal 2 then the k-constant variation equal 2 (calculation y=k*x --> 5=2*2.5). This constant shows the relationship between the variables.</span>
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3 years ago
Read 2 more answers
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