Mathematics College

Perform the row operation 1/3R1 and replace R1 on the following matrix
[3 0 0|21]
[0 6 0|5]
[0 0 7|5]

Answers

Answer 1

Answer:

[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]

Step-by-step explanation:

The given augmented matrix is

[tex]\left[\left.\begin{matrix}3 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}21\\ 5\\ 5\end{matrix}\right][/tex]

Here, we need to perform the row operation [tex]\dfrac{1}{3}R_1[/tex] and replace [tex]R_1[/tex] in the above matrix.

So, divide each element of [tex]R_1[/tex] in the given matrix and other elements remain same.

[tex]\left[\left.\begin{matrix}\dfrac{3}{3} & \dfrac{0}{3} & \dfrac{0}{3}\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}\dfrac{21}{3}\\ 5\\ 5\end{matrix}\right][/tex]

[tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex]

Therefore, the required matrix is  [tex]\left[\left.\begin{matrix}1 & 0 & 0\\ 0 & 6 & 0\\ 0 & 0 & 7\end{matrix}\right|\begin{matrix}7\\ 5\\ 5\end{matrix}\right][/tex].

Related Questions

Solve for x: 3 < x + 3 < 6

Answers

Steps to solve:

3 < x + 3 < 6

~Subtract 3 to everything

0 < x < 3

Best of Luck!

help meeee Simplify 7(A - 6).

Answers

Answer:
7A-42

Explanation;
Use the distributive property and multiply A and -6 by 7.

I hope this helps!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{7A - 42}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{7(A \: - 6)}[/tex]

Distribute 7 through the parentheses

[tex] \longmapsto{ \sf{7 \: ∗ \: A \: - 7 \: ∗ \: 6}}[/tex]

[tex] \longmapsto{ \sf{7A \: - 42}}[/tex]

Hope I helped!

Best regards ! :D

~TheAnimeGirl

100 POINTS!! ASAP - Plss SHOW WORK

Answers

Answer:

h ≈ 174.3 m

Step-by-step explanation:

Step 1: Define variables

∅ = 71°

b = 60 meters (horizontal leg of the triangle)

We are solving for height h (vertical leg of the triangle)

Step 2: Use Trig

tan∅ = opposite over adjacent

tan71° = h/60

Step 3: Evaluate

60tan71° = h

h = 174.253 m

h ≈ 174.3 m

Answer:

the height of the building is 174.3 m

Step-by-step explanation:

see attached image

height of building (h) = x tan Ф

where x = 60m

Ф = 71°

plugin values into the formula

h = 60 tan (71)

h = 174.3 m

therefore

the height of the building is 174.3 m

The ages of Edna, Ellie, and Elsa are consecutive integers. The sum of their ages is 114.
What are their ages?

Answers

x = Edna's age

x + 1 = Ellie's age

x + 2 = Elsa's age

the sum of their ages = 114

Let's set all of their ages equal to 114

x + x + 1 + x + 2 = 114

Combine like terms

3x + 3 = 114

Subtract 3 from both sides

3x = 111

Divide both sides by 3

x = 37

Edna's age = x = 37 years old

Ellie's age = x + 1 = 37 + 1 = 38 years old

Elsa's age = x + 2 = 37 + 2 = 39 years old

12a - 6 + 7a - 2a ; a = 4
Need help please

Answers

Answer:

62

Step-by-step explanation:

Plug in the value of a in the equation:

12(4) - 6 + 7(4) - 2(4)

Solve 12(4) - 6:

12(4) - 6 = 48 - 6 = 42

Solve 7(4) - 2(4):

7(4) - 2(4) = 28 - 8 = 20

Combine both answers (42+20):

42+20 = 62

Complete answer:

12(4) - 6 + 7(4) - 2(4) = 62

.....................

Answers

Uhhhh not sure if you just added dots or I can’t see the question maybe try posting it again.

-2x+3-(5-6x) simplify please

Answers

Answer:

4x-2

Step-by-step explanation:

First, distribute the minus sign.

-2x+3-(5-6x)

-2x+3+ -1(5)+ -1(-6x)

-2x+3+ (-5) + (6x)

-2x+3-5+6x

Next, combine like terms.

-2x+3-5+6x

(-2x+6x)+(3-5)

4x+(-2)

4x-2

Answer:

4x - 2

Step-by-step explanation:

-2x + 3 - -5 + 6x ( First distribute the parenthess and apply minus-plus rules making it -2x+3-5+6x )

-2x + 6x + 3 - 5 ( Group the equation like this putting like terms together)

4x + 3-5 ( From there add -2x and 6x- like terms to get 4x)

4x -2( After that subtract 3-5 ad the answer is -2)

THE FINAL ANSWER BECOMES 4x - 2

HOPE IT HELPED

At the end of the day a bakery has9/10 of a pie left over. The employees decide to split the leftovers equally in each takes home 1/10 of the pie how many employees were at the bakery

Answers

Answer:

9 people

Step-by-step explanation:

9 pieces of the 10 pieces of pie were left. If all 9 of those are gone and each took 1, there were 9 employees.

the value of 7y–2 is 10 more than the value of 2y

Answers

Answer:

y=12/5 (in decimal notation y=2.4)

Step-by-step explanation:

the value of 7y-2 = 10 more than 2y

7y-2 = 10+2y

7y-2y = 10+2

5y = 12

y = 12/5

y = 2.4

(-1,-2) (2,7) in slope intercept form

Answers

I hope it will help you :)

PLZ HELP IVE BEEN STUCK ON THIS QUESTION​

Answers

Answer:

A= 16

B=?

Step-by-step explanation: srry about the second one im also confused but i tried my best.

Simplify the radical /1829.

Answers

Answer:

Step-by-step explanation:

what the simplify form for –3(x + 3) + 4x

Answers

Answer:

x - 9

Step-by-step explanation:

First, distribute:

-3x - 9 + 4x

Then, simplify (add up x):

x - 9

And we're done ^^

Answer:

-3x -9 +4x

-3x + 4x - 9

x - 9

The answer is x - 9

you multiply -3 by x - 3

And there you go .

A grid that represents 1 whole , what would you shade for 0.4 and 0.04? 100 squares in rows of 10.

Answers

For .4 shade 4 squares, for .04 shade a bit less than half a square

A man’s age today is three years less than four times the age of his oldest daughter,Let a represent the daughters age.Write an equation to match the scenario.

Answers

The mans age(x)=(4•a)-3

what is the acceleration of the object in the graph?

-0.8 m/s^2
1.25 m/s^2
-1.25 m/s^2
-0.4 m/s^2

Answers

Answer:

  -0.8 m/s^2

Step-by-step explanation:

Acceleration is the slope of the velocity curve. Here the velocity decreases from 12 m/s to zero in 15 seconds. So, the slope is ...

  (-12 m/s)/(15 s) = -0.8 m/s^2

Evaluate the expression if x= -2 and y= - 4.
3xy + 4

Answers

Answer:

28

Step-by-step explanation:

3(-2)(-4)+4=?

(-6)(-4)+4=?

24+4=-28

3(-2)(-4)+4 =
24+4 = 28

Value of the expression when n=3
-2n(5+n-8-3n)
​

Answers

Answer:

54

Step-by-step explanation:

Substitute n into the equation:

-2(3)[5+3-8-3(3)]

-6[-9]

+54

A _______________________ is a conclusion after you have observed the patterns.

Answers

Answer:

Inductive Reasoning is the process of arriving at a general conclusion based on observations of specific examples. When you try to find the pattern for a list of numbers or visuals, you are using inductive reasoning.

i believe it is inductive reasoning based on me googling it- it may be wrong but

What is 24% of 162.5?

Answers

Answer:

I believe 39 is your answer

For Mindy's party, she bought 26.4 pounds of meat to make tacos. The night before, she split the meat evenly into 4 containers so it would fit into the refrigerator. How many pounds of meat are in each container?

Answers

Answer:

Step-by-step explanation:6x4.3

what is a dependent variable ​

Answers

Answer:

a variable (often denoted by y ) whose value depends on that of another.

Step-by-step explanation:google

Where is √95 located on a number line?

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ [tex]\sqrt{95} =9.74679434[/tex]

~Hope this helps Mate. If you need anything feel free to message me.

-I have included a number line as well...

tristan bought an orange that weighs 1 8th of a pound

Answers

Answer

Tristan bought an orange that weighs 1 8th of a pound. 1. See answer. Add answer. Log in to add comment.

what place value are the 8s in 888,000?

Answers

Answer:

1,000

10,000

100,000

Step-by-step explanation:

!!!!25 POINTS HELP NOW PLEASE!!!! Emily and Hunter tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 66°F, 57°F, 61°F, 65°F, 54°F, 62°F, 59°F, 56°F What is the mean absolute deviation of this data set? Enter your answer in the box.

Answers

I Believe the mean would would 60 degrees Fahrenheit

Find the surface area of a square pyramid if the area of the base is 324 cm^2 and the height is 40 cm.

Answers

Answer:

Step-by-step explanation:

Yep!

Describe the shape of the distribution shown on the dot plot.

The dot plot displays the golf scores from a golf tournament.

132 , 134, 136, 138, 148
(Golf Score Strokes)

A. Uniform
B. Bimodal
C. Left Skewed
D. Right Skewed
E. Symmetrical
F. Bell shaped

Answers

Answer:

Then it's probably D. Right-Skewed

(57 + 4) x 4 - 16 I need this for my math test

Answers

Answer:

228

Step-by-step explanation:

(57 + 4) * 4 - 16

61 * 4 - 16( To get 61 solve the ones in brackets first)

244 - 16( Solve the multiplication to get 244 _ 61 * 4=244)

228 ( Then solve the subtraction - 244-16= 228)

SO THE ANSWER IS 228.

YOU JUST NEED TO FOLLOW BODMAS.

HOPE IT HELPED

Select all the statements that are true.
π is irrational because π is a repeating decimal.
7√ is irrational because 7 is not a perfect square.
7.1234… is irrational because it is a nonterminating, nonrepeating decimal.
7√ is rational because 7 is not a perfect square.
π is irrational because π is not a repeating decimal.

Answers

so, it seems like the second one and the very last one is correct. pi is always rational and it never stops and never repeats. 7 is irrational because 2 of the same numbers cannot go in it. what I’m meaning is that 2,3,4,5,6 cannot go into 7.

The true statements are,

π is irrational because π is a repeating decimal.

7√ is irrational because 7 is not a perfect square.

7.1234… is irrational because it is a nonterminating, nonrepeating decimal.

7√ is rational because 7 is not a perfect square.

What are irrational numbers?

Irrational number are real numbers that cannot be expressed as a ratio of two integers.

When an irrational number is expressed in decimal form, it goes on forever without repeating.square roots like √2 ,√3, √5.. are irrational number.

Now we have,

→π is irrational because π is a repeating decimal.

Since, the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

Hence π is irrational.

⇒This statement is true.

→√7 is irrational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→7.1234… is irrational because it is a non terminating, non repeating decimal.

Since,the value of decimal in 7.1234… goes on forever and repeating.

Therefore,7.1234… is irrational.

⇒This statement is true.

→√7 is rational because 7 is not a perfect square.

Since, 7 is a prime number this means 7 is without its pair and is not in the power of 2.

Therefore,√7 is irrational

⇒This statement is true.

→π is irrational because π is not a repeating decimal.

π is irrational because  the value of π is called as infinite decimal-after the decimal point the digits go on forever and repeating.

⇒This statement is false.

More about irrational numbers :

https://brainly.com/question/11418160

#SPJ2

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