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borishaifa [10]
3 years ago
10

Write the next five numbers in each sequence,

Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0

Answer:

SOLUTION

First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

1

2

3

−

1

3

−

2

−

9

 

|

 

8

−

2

9

⎤

⎥

⎦

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

The easiest way to obtain a 1 in row 2 of column 1 is to interchange \displaystyle {R}_{2}R

​2

​​  and \displaystyle {R}_{3}R

​3

​​ .

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

1

|

8

−

15

1

⎤

⎥

⎦

The last matrix represents the equivalent system.

 

x

−

y

+

z

=

8

 

y

−

12

z

=

−

15

 

z

=

1

Using back-substitution, we obtain the solution as \displaystyle \left(4,-3,1\right)(4,−3,1).

Step-by-step explanation:

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Step-by-step explanation:

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An art teacher had 2/3 gallon of paint to pour into containers if he poured 1/8
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The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet 2 inches=7 feet. The family waThe bluep
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<u>Corrected Question</u>

The blueprint for the Moreno Moreno​'s living room has a scale of 2 inches equals 7 feet.The family wants to use a scale of 1 inch equals = 6 feet. What is the width of the living room on the new​ blueprint? A rectangle is labeled width = 12 inches.

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Step-by-step explanation:

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<u>Scale on the old blueprint: </u>

2 inches = 7 feet.

Therefore: 1 Inch =7/2 feet

12 Inches =12 X 7/2 feet =42 feet

The actual width of the room is 42 feet.

<u>Scale on the new blueprint</u>

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6 feet=1 inch

1 feet =1/6 Inch

Therefore:

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7 0
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