Mathematics College

29. The augmented matrix for a linear system in variables x, y, and z are given below. The augmented matrix is in
reduced row-echelon form. Give the solution of the system.
1
0
LO
0 0
1 0
0 1
1
1
o]
(x, y, z)= (------...-)
X Х

29. The Augmented Matrix For A Linear System In Variables X, Y, And Z Are Given Below. The Augmented

Answers

Answer 1

answer:

(x,y,z) = (1,1,0)

Explanation:

|1 0 0 | 1 | r1 - r3 -> r1

|0 1 0 | 1 | r2 - r3 -> r1

|0 0 1 | 0 |

[tex]1 - 0 = 1 \\ 0 - 0 = 0 \\ 0 - 1 = - 1 \\ 1 - 0 = 1[/tex]

first row⬆️

second row:

[tex]0 - 0 = 0 \\ 1 - 0 = 1 \\ 0 - 1 = - 1 \\ 1 - 0 = 1[/tex]

third row rest the same

Related Questions

You can use this rule to work out the total cost of hiring a car. Total cost = £4 per hour plus £12. Arun hires a car for 5 hours. Work out the total cost.

Answers

Answer:

£32

Step-by-step explanation:

12 + 4(5) = 32

Stay safe! <3

the sum of three numbers is 112. the third number is 3 times the first. the second number is 7 more than the first. what are the numbers?​

Answers

Answer:

all the would need water becouse water is the main reason to get live

Help please!!!

Thanks

Answers

Answer:

25.6

Explanation:

t = 2 seconds

h = 8 + 40.8(2) - 16(2)^2

Solve for h by simplifying both sides of the equation, then isolating the variable.

h = 25.6

Arithmetic mean of nine observations is calculated as 38. But in doing so, mistakenlythe observation 27 is taken instead of 72. Find the actual mean of the data.​

Answers

Answer:

Actual Mean = 43

Step-by-step explanation:

Given Mean = 38

No of observations = 9

we know,

Mean = Sum / N

38 = Sum/ 9

Sum = 38 x 9 = 342

Since the observation 27 was mistakenly taken instead of 72, we subtract 27 from the sum and add 72.

New sum = 342 - 27 = 315 again, 315 + 72 = 387

The no. of observations stays the same.

Actual mean = New Sum / N

= 387/9

=43

Step-by-step explanation:

arithmetic mean =38

n=9

mean=sum/n

sum=mean×n=38×9=342

mistakenly observation 27 is taken instead of 72

new sum becomes =342+72-27=387

now

new mean =new sum/n=387/9=43

the actual mean of the data is 43.

Create a binomial with a GCF (Greatest common factor of 6x^3.)

Help please, thank you so so so much!

Answers

Answer and Step-by-step explanation:

[tex](2x^{2} )(3x)[/tex]

I think this would be your answer, since it is a binomial and consists of 3, which is its greatest common factor.

I may be wrong though, so I'm sorry in advance if it is wrong.

#teamtrees #PAW (Plant And Water)

help pls what is the area of this shape?

Answers

Answer:

I think 15 I dont see it in the options but im going to explain my answer

Step-by-step explanation:

4 + 4 = 8, 13 - 8 = 5 x 6 = 30 divided by 2 is 15

SO 8 x 13 = 104 - 15 = 89 so therefore its 89!

Tania bought 9.6 gallons of gas for $27.36. Find an equation that can be used to determine x, the price of each gallon of
gas? What is the price of each gallon of gas? Show work.

Answers

Answer:

9.6(x)= 27.36 27.36÷9.6=x x=2.85

In ΔXYZ, x = 460 inches, y = 340 inches and ∠Z=47°. Find the area of ΔXYZ, to the nearest square inch.

Answers

Answer:

35.8

Step-by-step explanation:

Answer:

35.8

Step-by-step explanation:

Done the test

Please Help! 1/4a^2=10

Answers

Answer:

a = 6.32  or 2(sqrt 10)  

Step-by-step explanation:

1/4a^2 = 10      

multiply both sides by 4:

a^2 = 40

a = sqrt 40 = 6.32  or 2(sqrt 10)  

Eric's water bottle holds 500 mL. He drinks 4 bottles of water at soccer practice.
How many liters of water does he drink?
A.2 L
B.5 L
C .2L
D.5L

Answers

2 litres of water. A

Eric's drink 2 liters of water.

What is liter?

" Liter is a basic unit which is used to measure volume of any liquid."

According to question,

Capacity of one water bottle = 500mL

Capacity of 4 water bottles = [tex]500[/tex] × [tex]4[/tex]

                                              = 2000mL

1000mL = 1Liter

2000mL =2L

Hence we conclude that Option A is correct.

Learn more about Liters of water here

https://brainly.com/question/22384228

#SPJ2

Maria wants to buy a new car. She will choose a green car
or a silver car. The green car costs $16,898, and the silver
car costs $1,059.75 less than the green car. What is the
cost of the silver car?
please help do today

Answers

Answer:

1,059.75

Step-by-step explanation:

well the silver car is less then a green car right but just add them up

1,059.75




I hope this helped!!

14 POINTS!!

Which model represents the product 6 x 3/4?

Answers

Answer:

Bottom right

Step-by-step explanation:

Answer: bottom right!!

Step-by-step explanation

help please and thanks <3

Answers

Answer:

x<14

Step-by-step explanation:

7+7>x by triangle inequality theorem

14>x or x<14

These 10 blocks are separated into 2 groups. Which equation represents how to find the number of blocks in each group?

A. 10 ÷ 2 = 5
B. 10 ÷ 5 = 2
C. 5 ÷ 2 = 10
D. 2 ÷ 5 = 10

Answers

Answer:

A) would be the answer

Step-by-step explanation:

this is the answer because 2 groups with 10 blocked all together has to have 5 blocks each group, also 5+5=10

A is the answer cause 5x2=10

Find the size of angle XYZ. Give your answer to 1 decimal place.

Answers

Answer:

45

Step-by-step explanation:

Because this is a triangle all angles must add up to 180. so we already know 90 so 180-90=90 and 90/2 = 45. Hope this helps

ANSWER: 54.3

Step-by-step explanation:

1. Label each side of the Triangle

Using the SOH CAH TOA method we can label zy as H (the longest line is always H). We can label xz as O (it is opposite the angle). We can label xy as A (it's the remaining side).

2. Cross out the 'useless' side

Now, we need to cross out the label which doesn't have an appointed piece of information to it. Meaning that A will remain as it labels 7cm. H will also remain as it labels the angle. O does not label anything and so we can cross it out.

3. Decide which method is correct

We are using the SOH CAH TOA method, this means we can either use SOH, CAH, or TOA to solve the problem. We know which method to use by seeing which of them does not contain the letter we crossed out. CAH does not contain O so it is the correct method.

4. Know the formula

Now we will use the formula of our found method. CAH begins with C and so does Cos. Therefore, Cos is our formula.

Cos( ) = A/H

5. Substitute in your numbers

Then, we will put in our numbers into the formula. The first slot we must fill in is within the brackets. Usually the angle goes inside of the brackets during trigonometry but we obviously do not know it. This means we will use 'x' inside of the brackets. Our formula now looks like this:

Cos(x)

Substitute in A and H. A will be the information appointed to the side we labelled A. H will be the information appointed to the side we labelled H.

Our formula will look like this:

Cos(x) = 7/12

6. Reverse it and calculate

Now we need to input an equation into our calculator. I don't know why but we will need to reverse our previous formula and type it into the calculator as:

cos-^1(7/12)

The result should say 54.31466529.

7. Round

Now we will round it by 1 decimal place. To do this we need to look at the number next to 3, it is not 5 or above 5. This means we will not round up,

 our answer is 54.3 degrees.

FREE BRAINLIST NEED HELP ASAP

Answers

Answer:

C. 7.6 miles

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

what is the volume and the surface area ?

Answers

Volume = pi x radius^2 x height
= pi x 13^2 x 15
= pi x 169 x 15
= pi x 2535
= 7963.94

SA=2 x pi x radius x height + 2 x pi x radius^2
= 2 x pi x 13 x 15 + 2 x pi x 13^2
= 1225.22 + 1061.86
= 2287.08

5 points Two lines are represented by equations: 10x - 15y = 21 and y = kx + 5. What value of k will make lines perpendicular?​

Answers

Answer:

Step-by-step explanation:

10x - 15y = 21

15y = 10x - 21

y = ⅔x - 7/5

slope of line is ⅔

slope of any perpendicular to line is -3/2

y = kx + k

slope of line is k

k = -3/2

A builder could get 9 sheets of Sheetrock for $20. If he bought 15 sheets, how much money would he have spent?

Answers

$33.33

20/9 = $2.22 per sheet
$2.22*15 = $33.33
$33.33 because if you divide 9 by 20 you get $2.22 then multiply that by 15 and then you get your answer &33.33

If f(x)=4x-1 , what is f(1) ??

Answers

Answer:

f(1) = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

f(x) = 4x - 1

f(1) is x = 1

Step 2: Evaluate

Substitute in x [Function]:                                                                              f(1) = 4(1) - 1Multiply:                                                                                                           f(1) = 4 - 1Subtract:                                                                                                          f(1) = 3

PLEASE ANSWERRR! FIRST CORRECT ANSWER WILL VOTE BRAINLIEST

For a certain value of k, the system

x + y + 3z = 10,
-4x + 3y + 5z = 7,
kx + z = 3
has no solutions. What is this value of k?

Answers

Answer:

k = 7/4

Step-by-step explanation:

Given system:

x + y + 3z = 10, -4x + 3y + 5z = 7, kx + z = 3

Substitute z in the first two equations with z = 3 - kx:

x + y + 3(3 - kx) = 10 ⇒ (1 - 3k)x + y = 1 ⇒ y = (3k - 1)x + 1-4x + 3y +5(3 - kx) = 7 ⇒ -(4 + 5k)x + 3y = -8 ⇒ y = 1/3(5k + 4) - 8

In order the two equations above not to have a solution, the lines should be parallel. Parallel lines have equal slopes.

Solve the following equation for k:

3k - 1 = 1/3(5k + 4)9k - 3 = 5k + 44k = 7k = 7/4

Please need help on this anyone

Answers

Answer:

Step-by-step explanation:

Point-slope equation for line of slope 1 that passes through (4,1):

y-1 = 1(x-4)

In slope-intercept form:

y = x-3

I NEED HELP PLEASE HELP ME

Answers

Answer:

Length should be 15 cm and width should be 5 cm

Step-by-step explanation:

5 * 3 = 15

15+15+5+5=40

:)

Identify the slope and y intercept of the function y=4x-9

Answers

Answer = y = -9
By ly - 4x = -9

570 milliliters equal how many centiliters

Answers

Answer:

It equals 57 centiliters.

Step-by-step explanation:

The reason why is because any number that has a 0 is subtracted to less without the 0, so for example lets say 1,680 milliliters equal how many centiliters the answer would be 1,680. Take out the 0 out of any number u add to if you want to know the centiliter

Answer: 57

Step-by-step explanation:

We can set up a proportion to solve for the number of centiliters.

1ml/ 570ml = 0.1 centiliter/ xcentiliter

Now, we cross multiply to solve for our unknown x:

x centiliter ≈ 570 ml / 1 ml * 0.1 centiliter → x centiliter ≈ 57.0 centiliter

Conclusion:

570ml ≈ 57.0 centiliter

A shoe store recorded the price (in dollars) of 175 pairs of women's shoes and 175 pairs of men's shoes. The data collected was used to create the following table.

Answers

Answer:

Most of the mens shoes in the data sets cost more than the womens shoes

Step-by-step explanation:

i did this and got it correct

F(x)=1/ x shift 9 units right and 4 units down

Answers

Answer:

g(x) = 1/(x-9)  - 4

Step-by-step explanation:

f(x) shift 9 units right -> f(x-9) = 1/(x-9)

further shift 4 units down: 1/(x-9) - 4

HELP PLZ PLZ HEEEEEEEEEEEEEEEEELP

Answers

It would be 1 4/8 or 1 ½ if simplified

Since there is 8 parts in between 1 and 2 on the number line the denominator is 8.
The most frequent measurement is right in the middle, which if you count to that line you can see it goes up to 4 parts.
And because it’s already past the whole number 1 it would be 1 4/8 or 1 ½

I hope this helps and is understandable!
The answer is 1 1/2 (just wanna give the other person the branliest)

HELP PLS ❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗

Study the coordinate plane below.



A certain polygon has its vertices at the following points.

(3,5), (6,6), (7,3), and (4,2)

What is the best description of this polygon?
A.
rectangle
B.
parallelogram
C.
rhombus
D.
square

Answers

Answer:

A

Step-by-step explanation:

If you connect the dots of the coordinates it turns out to look like a rectangle.

Answer: square

Step-by-step explanation: when u connect them.

The stock market gained 45 points on Tuesday and lost 32 points on Wednesday. It had closed on Monday at 2760 points. Where did the market close on Wednesday?

Answers

Answer:

The market closed with a rating of 2773 points on Wednesday.

Step-by-step explanation:

Lets start with what we know:

Monday at close it had a rating of 2760 points.

Tuesday it gained 45 points.

Wednesday it had lost 32 points.

Once written out it becomes less intimidating to answer.

Monday + Tuesday + Wednesday = Answer

2760 + 45 - 32

= 2805 - 32

= 2773

2760(market on monday) + 45(how much gained on tuesday) = 2805 (points on tuesday)

2805(point on tuesday) - 32(how much lost on wednesday) = 2773 (points on wednesday/the answer)
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