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Roman55 [17]
4 years ago
10

Identify the elementary row operation(s) being performed to obtain the new row-equivalent matrix. Original Matrix New Row-Equiva

lent Matrix 3 −1 −4 −5 3 8 3 −1 −4 4 0 −4 Add 3 times Row 2 to Row 1. Add 3 times Row 1 to Row 2. Multiply Row 2 by three. Multiply Row 1 by three. Interchange Row 1 and Row 2.

Mathematics
1 answer:
ivann1987 [24]4 years ago
5 0

Answer:

Add 3 times row 1 to row 2  to obtain the new matrix

Step-by-step explanation:

Attached below is the solution

To obtain the new matrix we will add 3 times Row 1 to row 2  

\left[\begin{array}{ccc}3&-1&-4\\-5&3&8\\\end{array}\right]   original matrix

\left[\begin{array}{ccc}3&-1&-4\\4&0&-4\\\end{array}\right]     New Matrix

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Which of the following is the solution to the inequality below?
irakobra [83]

Answer:1/3

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    3/2*(x-1/3)-(-5*x)>0  

Step by step solution :

STEP

1

:

           1

Simplify   —

           3

Equation at the end of step

1

:

  3         1      

 (— • (x -  —)) -  -5x  > 0  

  2         3      

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         x     x • 3

    x =  —  =  —————

         1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (1)     3x - 1

———————————  =  ——————

     3            3    

Equation at the end of step

2

:

  3   (3x - 1)      

 (— • ————————) -  -5x  > 0  

  2      3          

STEP

3

:

           3

Simplify   —

           2

Equation at the end of step

3

:

  3   (3x - 1)      

 (— • ————————) -  -5x  > 0  

  2      3          

STEP

4

:

Equation at the end of step

4

:

 (3x - 1)    

 ———————— -  -5x  > 0  

    2        

STEP

5

:

Rewriting the whole as an Equivalent Fraction :

5.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  2  as the denominator :

          -5x     -5x • 2

   -5x =  ———  =  ———————

           1         2    

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

(3x-1) - (-5x • 2)     13x - 1

——————————————————  =  ———————

        2                 2    

The equation at the end of step

5

:

 13x - 1

 ———————  > 0  

    2    

STEP

6

:

6.1    Multiply both sides by  2  

6.2    Divide both sides by  13  

     x-(1/13)  > 0

Solve Basic Inequality :

6.3      Add  1/13  to both sides

            x > 1/13

7 0
3 years ago
32-7 (6+12) divided by 4 to the power of 2.<br><br> Brainliest
Leni [432]

Answer:

Step-by-step explanation:

32 - 7(6+12) / 4^2

25 + 18 /4^2

43 / 16

2.6875 when you round it you get 2.7

8 0
3 years ago
Solve for z. 20 − (z + 7) = 0.9
zhannawk [14.2K]

Answer:

x = 12.1

Step-by-step explanation:

20 − (z + 7) = 0.9

Distribute the minus sign

20 -x -7 = .9

Combine like terms

13 -x = .9

Subtract 13 from each side

-x = -12.1

x = 12.1

7 0
3 years ago
Read 2 more answers
Simply the expression.<br><br> 10(6y + 12) + 8(7y - 4)
Tanzania [10]

Answer: 116y+88

Step-by-step explanation:

<u>Distribute:</u>

60y+120+56y-32

<u>Combine like terms:</u>

116y+88

8 0
3 years ago
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The sum of 35 and one fifth part of itself is added to the sum of one seventh of 11 and 8​
9966 [12]

Answer:

313/7

Step-by-step explanation:

Here, we are interested in turning the wordings of the statement to numeric values.

We take it one at a time.

Sum of 35 and 1/5(35) = 35 + 7 = 42

This is added to 1/7(11 + 8)

= 1/7(19) = 19/7

So we have;

42 + 19/7 = (294 + 19)/7 = 313/7

8 0
4 years ago
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