Kamal wrote the augmented matrix below to represent a system of equations
1 0 1-1
1 3 -1-9
3 2 0- 2
Which matrix results from the operation -3R2 R2?

Kamal Wrote The Augmented Matrix Below To Represent A System Of Equations1 0 1-11 3 -1-93 2 0- 2Which

Answers

Answer 1

Consider the operation is [tex]R_2\to -3R_2[/tex].

Given:

The augmented matrix below represents a system of equations.

[tex]\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right][/tex]

To find:

Matrix results from the operation [tex]R_2\to -3R_2[/tex].

Step-by-step explanation:

We have,

[tex]\left[\left.\begin{matrix}1&0&1\\1&3&-1\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-9\\-2\end{matrix}\right][/tex]

After applying [tex]R_2\to -3R_2[/tex], we get

[tex]\left[\left.\begin{matrix}1&0&1\\-3(1)&-3(3)&-3(-1)\\3&2&0\end{matrix}\right|\begin{matrix}-1\\-3(-9)\\-2\end{matrix}\right][/tex]

[tex]\left[\left.\begin{matrix}1&0&1\\-3&-9&3\\3&2&0\end{matrix}\right|\begin{matrix}-1\\27\\-2\end{matrix}\right][/tex]

Therefore, the correct option is A.


Related Questions

Can someone help plz!

Answers

Answer:

Do you still need this one?

Step-by-step explanation:

[tex]x\geq 1[/tex]

A geometric pattern is made using 17 triangles and squares. If the triangles and squares have a total of 64 sides, how many triangles were used?

Answers

Answer: 13 triangles were used.

Step-by-step explanation:

Each triangle has 3 sides where each square has 4 sides.

Total triangles and squares = 17

Total sides they have = 64

Let x= Number of triangles , y= Number of squares

3x = sides of all triangles , 4x = Sides of all squares.

Now, [tex]x+y=17\ \ \ \ (i)[/tex]

[tex]3x+4x=64\ \ \ \ \ (ii)[/tex]

Multiply 3 on both sides of (i) , we get

[tex]3x+3y = 51\ \ \ \ (iii)[/tex]

Eliminate (ii) from (ii)

x= 13

Put this in (i), we get

[tex]13+y=17\\\\\Rightarrow\ y= 17-13=4[/tex]

Hence, 13 triangles were used.

There were 4 triangles used to frame a geometric pattern

System of Equations

Two are more equations that shares common variables are the system of equations. System of equations can be solved by using elimination method or substitution method .

Use the given information to frame system of  equations.

Assume variables for the unknown

Let x be the number of triangles used and 'y' be the number of squares used

A geometric pattern is made using 17 triangles and squares.

Sum of triangles and squares is equal to 17

[tex]x+y=17[/tex]

the triangles and squares have a total of 64 sides,

Each triangle has 3 sides and each square has 4 sides

[tex]3x+4y=64[/tex]

Solve both the equations using substitution method

[tex]x+y=17\\y=17-x[/tex]

Substitute y in second equation

[tex]3x+4y=64\\3x+4(17-x)=64\\3x+68-4x=64\\-1x+68=64\\-1x=64-68\\-1x=-4\\x=4[/tex]

Now find out y

[tex]y=17-x\\y=17-4\\y=13[/tex]

'x' is the number of triangles used

x=4, so 4 triangles were used

Learn more information about 'system of equations ' here

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For the equation:
y - 3 = 2(x + 4),
which of the following is TRUE?

The line has m = 2 passing through the point (-3, 4)

The line has m = 2 passing through the point (3, -4)

The line has m = 2 passing through the point (4, -3)

The line has m = 2 passing through the point (-4, 3)

Answers

Answer:

fourth option

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 3 = 2(x + 4) ← is in point- slope form

with slope m = 2 and (a, b) = (- 4, 3 )

Answer: fourth answer

Step-by-step explanation: when you put it into slope point form you find out m=2 and (-4,3)

Find the polynomial function with zeros at -3,1,0,2,4. Sketch a possible graph.

Need help ASAP PLEASE!!!!!!!!

Answers

Jsjejsjsheksjrikdj4zkkdn3irj2sk
Sodkksjdkfkskdkm4kmmmoso

can you please help me​

Answers

i’m assuming c because it’s the only one that’s just a point while the others are rays

Emma bought a salad for $4.75 and a drink for $1.65. She had $18.35 left. How much money did she
have before she bought the salad and drink?
A $11.95
B. $20.00
C$23.10
SD $24.75
5 01 14 Answered
Answer quickly please

Answers

Answer:

D. $24.75

Step-by-step explanation:

24.75 - 4.75 - 1.65 = 18.35

S is between R and T. RS = 2x + 7, RT = 4x , and ST = 28. Find the length of segment RT

Answers

Given:

S is between R and T. RS = 2x + 7, RT = 4x , and ST = 28.

To find:

The length of segment RT.

Solution:

It is given that S is between R and T. So, by segment addition property, we get

[tex]RS+ST=RT[/tex]

On substituting the values, we get

[tex](2x+7)+(28)=4x[/tex]

[tex]2x+35=4x[/tex]

Subtract 2x from both sides.

[tex]35=4x-2x[/tex]

[tex]35=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{35}{2}=x[/tex]

[tex]x=17.5[/tex]

Now,

[tex]RT=4x[/tex]

[tex]RT=4(17.5)[/tex]

[tex]RT=70[/tex]

Therefore, the length of segment RT is 70 units.

how can you solve quadratic equation in one variable using factoring method?​

Answers

Take a quadratic equation in standard form:
If there exists a sum of two numbers that equal b, whose addends produce a product that equals c. You can rewrite the quadratic as a product of two binomials.


For example take
When thought through throughly, -5 had addends, -2 and -3 that produce 6 when multiplied
Thus, we can rewrite the quadratic as.

A square is constructed with an area of 18 square feet what is the approximate length of one side?

Answers

Answer:

The answer is about 4.242 feet

What is a common multiple of 12 and 20?

Answers

Answer:

the common multiple between 12 and 20 is 60

Answer:

60

Step-by-step explanation:

5(12)=60

3(20)=60

Broccoli cost $1.50 per pound at the store how much money does 32 ounces of broccoli cost

Answers

Answer:

3$

Step-by-step explanation:

every 16 ounces is 1 pound

Answer:

The broccoli will cost $3.00 for 32 ounces            1lbs (pound) = 16 ounces

                                                                                so 16oz+16oz= 32lbs

Two customers each both sets of tables and chairs for my furniture store offering a single price for chairs any single price for tables the amount paid by each customer is represented by the following any qualities where I see is the price of a single chair and tea is the price of a single table

Answers

I don’t understand the question because the question is not there


I need help ASAP

Which is the best deal?
OA) $56 for 25 gallons
O B) $32.05 for 15 gallons
O C) $51.29 for 23 gallons
OD) $22.50 for 10 gallons

Answers

A is the correct answer

Aaaaaaaaaaaaaaaaaaaaaaaa

Yo could y’all help me with 6th grade math

Answers

Answer:

260

570

850

920

410

710

660

120

that all for now they out of order

Step-by-step explanation:

Answer:

2601204105705901908501003009205302004106309607108101000660810640

Step-by-step explanation:

You better give brainliest for that also please refrain from these type of questions. I bet people would apprieate it

Marcelino bought balloons to sell at lunches to raise money for charity
Item
Thirty Balloons
Ribbon
Helium Tank Rental
Cost
$22.50
$7.50
$15.00
Marcelino claims he will raise a lot of money by selling each balloon for $1.25. Which statement is true about the
amount of money he will make it he sells all of the balloons?
Marcelino will only make a profit of $7.50; each balloon costs $1.50, so he's making S 25 on each balloon
Marcelino will break even; his cost will equal his profits
Marcelino will have $7.50: his costs are more than his profits
Marcelino will raise $45.00, each balloon raises $1.50

Answers

Marcelino will bear a loss of $7.5 and the correct statement is "Marcelino will have a loss of $7.50: his costs are more than his profits".

Given information:

The requirements and cost of making the ballons is:

Item                                             Cost

Thirty Balloons                           $22.50

Ribbon                                        $7.50

Helium Tank Rental                   $15.00

Marcelino sells balloons at the rate of $1.25 per balloon.

The total cost of creating 30 balloons will be,

[tex]22.5+7.5+15=\$\;45[/tex]

Now, after selling 30 balloons, he will earn,

[tex]1.25\times 30=\$\;37.5[/tex]

The earning is less than the cost of making the balloons.

So, Marcelino will bear the loss. The loss can be calculated as,

[tex]45-37.5=\$\;7.5[/tex]

Therefore, Marcelino will bear a loss of $7.5 and the correct statement is "Marcelino will have a loss of $7.50: his costs are more than his profits".

For more details, refer to the link:

https://brainly.com/question/984538

Answer:

I think C

Step-by-step explanation:

marcelio will have -$7.50; his costs r more then his profits  

DO NOT AWNSER IF YOU DO NOT KNOW
Will give Brainliest, like, comment, and 5 points
Lin is reading a 47-page book. He reads the first 20 pages in 35 minutes.

A. At this rate lin will complete the book in under an hour?

B. If so, how much time will he have left? If not, how much more time is needed?

C. Explain all the reasoning.

Answers

Answer with step-by-step explanation:

A. No

B. 22.25

C:

    A. 20 is less than half of 47, and 35 is more than half of 60, which clearly means Lin would need more time.

    B. 35 × 2 = 70. 70 - 60 = 10. 7/20 × 35 = 12.25. 10 + 12.25 = 22.25

Hope this was helpful!

In a recent year, the annual salary of the Governor of New York was $179,000. During the same year, the annual salary of the Governor of Tennessee was $94,000 less. Write and solve an equation to find the annual salary of the Governor of Tennessee in that year.

Answers

Answer:

179,000-94000

Step-by-step explanation:

85000 He made $85000

Answer:

the answer is $85,000

Step-by-step explanation:

so basically you just subtract because less stands for subtraction

179000

-94000

________

$85,000

hope i helped and sorry if i was late :)

Games at a fall festival cost 4$ each. The total cost of the awards for the winners of those games cost 162.50. How many games should be played in order to make 75$

Answers

Answer:19 games would have to be played.

Step-by-step explanation:

Alex mows a lawn that measures 800 square feet in 2 1/2 hours. At this rate, how many square feet of lawn can Alex mow in 1 hour?

Answers

Answer:

320 square feet per hour

Step-by-step explanation:

800/2.5=320

Answer:

320 ft²

Step-by-step explanation:

Hi there !

2  1/2 hours ........ 2.5 hours

2.5 h .......... 800 ft²

1 h ......................x ft²

x = 1×800/2.5

= 800/2.5

= 320 ft²

Good luck !

what makes the statement true? 9^2 equals?

Answers

The answer is 81 your welcome!☺

The answer is 81 because 9^2 is essentially 9*9 which is 81

Solve the equation using the Properties of Equality.

Answers

Answer:

Step-by-step explanations:

the answer is actually scientifically mathematically 2020- no it’s not

Which equation could be used to find the value of x in the triangle below?

Answers

2x+4x+10+6x-10=180 because all the angles of a triangle equal to 180 so u add up all the angles and set to 180. and x equals 15.

The equation used for solving the value of x will be 2x+4x+10+6x-10 = 180 and value of x is 15.

What is the angle sum property of a triangle?

A common property of all kinds of triangles is the angle sum property. The angle sum property of triangles is 180°. This means that the sum of all the interior angles of a triangle is equal to 180°.

Given a triangle with interior angles 4x+10, 6x-10 and 2x

According to the angle sum property of a triangle,

2x+4x+10+6x-10 = 180

x = 15

Hence, The equation used for solving the value of x will be 2x+4x+10+6x-10 = 180 and value of x is 15.

For more references on angle sum property of a triangle, click;

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Find the value of the expression (look at the image)

Answers

Answer:

1

Step-by-step explanation:

Anything raised to the power of zero is one. And 1^-2 is is 1.

PLEASE HELP ME I NEED THIS DONE TODAY ITS DUE NOW IM STRESSING OUT!

Answers

Try doing length x width aka multiplying! Hope that helped.

What is the area of the trapezoid? 3 cm 9 cm 10 cm 9 cm square centimeters​

Answers

Answer:

the correct answer is 31

The area of the trapezoid is 60 square centimeters.

To find the area of a trapezoid, you can use the formula:

Area = (1/2) × (a + b) × h

Where "a" and "b" are the lengths of the parallel sides of the trapezoid, and "h" is the height or the perpendicular distance between the parallel sides.

As per the question, the lengths of the parallel sides are 3 cm and 9 cm, and the height is 10 cm.

Plugging these values into the formula, we get:

Area = (1/2) × (3 cm + 9 cm) × 10 cm

Area = (1/2) × 12 cm × 10 cm

Area = 6 cm × 10 cm

Area = 60 square centimeters

Therefore, the area of the trapezoid is 60 square centimeters.

Learn more about the trapezoid here :

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Colette has already spent 3 minutes on the phone, and she expects to spend 1 more minute
with every phone call she routes. In all, how many phone calls does Colette have to route
to spend a total of 26 minutes on the phone?

Answers

If she spends 4 minutes on each call she would need to make 7 calls

g (x) = 4n - 5
h(x) = -3n^2 - 5
find g(3)+h(2)

Answers

Answer:

g (3) +h (2) = 3g + 2h

please help i need this asap please

Answers

the answer is A bc u simplify it. the three is turned into the cube root and the square is distributed to the 8 and the x:)

Answer:

4x^2

Step-by-step explanation:

(8x^3)^(2/3)

= 8^(2/3) * (x^(3))^2/3

8^(2/3) can be rewritten as ³√8²;

³√8² = ³√64

= 4

(x^(3))^2/3 = x^(3 * 2/3)

= x^2

Your solution is 4x^2, option a

The length of a rectangular piece of cardboard is 1 4/5 meters. If its width is 2/3 of its length, what is the width of the cardboard?

Answers

Answer:

6/5 or 1.2

Step-by-step explanation:

First, you need to multiply the length by how much the width is of the length, which is 2/3, so you multiply 1 4/5 by 2/3 and you get 6/5. If you want the decimal form, then the answer will be 1.2.

What is the purpose of properties? for math


20 points HELP ASAP!!!!!!!!

Answers

Answer:

Remembering the properties of numbers is important because you use them consistently in pre-calculus. The properties aren't often used by name in pre-calculus, but you're supposed to know when you need to utilize them.

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