The augmented matrix is given for a system of equations. If the system is consistent, find the general solution. Otherwise state that there is no solution.
[1 -5 -4
0 0 7]
A. X1 = - 4 + 5x2 X2 is free
B. (-4,7)
C. X1 = - 4 +5x2
X2=7
X3 is free
D. There is no solution.

Answers

Answer 1

Answer:

Option D (There is no solution) is the correct answer.

Step-by-step explanation:

According to the question, the matrix is:

⇒ [tex]\left[\begin{array}{ccc}1&-5&-4\\0&0&7\end{array}\right][/tex]

The linear equation will be:

⇒ [tex]x-5y=-4[/tex]

and

⇒ [tex]0.x+0.y=7[/tex]

i.e,

                [tex]0=7[/tex] (Not possible)

Thus the above given matrix has no solution. So the above is the correct option.


Related Questions

PLEASE HELP ASAP!!! WILL MARK BRAINLIEST !!

Answers

Answer:

CA = LJ

Step-by-step explanation:

The third side

CA = LJ

Answer:

CA=LG is correct answer

Jenny made $35,000 in taxable income last year suppose the income tax rate is 10% for the first 9000+16% for the amount over 9000 how much money is jenny pay in income tax for last year

Answers

Answer:

for the first 9000 $ tax rate is 10%

so tax = 10% of 9000 = 900

rest of the amount = 35000-9000 =26000

tax rate is 16%

tax on 26000 =  16% of 26000 = 3900

total tax Debra has to pay for last year = 900 + 3900 = $4800

Step-by-step explanation:

Answer:

900+3900=$4800

#CarryOnLearning

Alex was trying to determine how much money he owed the bank. Since his checking account has a balance of -155 dollars, he thinks that he can find the absolute value of -155 to determine that he owes the bank 155 dollars. Is Alex correct?

Answers

Answer:

Alex is correct.

Step-by-step explanation:

In order for Alex to get to $0, meaning he owes the bank nothing, he has to add 155 dollars to negative 155 dollars, because this means he has no debt left. The absolute value of -155 is 155 and if Alex pays the 155 dollars, he will not have to pay anything else to the bank.

Standard Error from a Formula and a Bootstrap Distribution Sample A has a count of 30 successes with and Sample B has a count of 50 successes with . Use StatKey or other technology to generate a bootstrap distribution of sample differences in proportions and find the standard error for that distribution. Compare the result to the value obtained using the formula for the standard error of a difference in proportions from this section.

Answers

Answer:

Using a formula, the standard error is: 0.052

Using bootstrap, the standard error is: 0.050

Comparison:

The calculated standard error using the formula is greater than the standard error using bootstrap

Step-by-step explanation:

Given

Sample A                          Sample B

[tex]x_A = 30[/tex]                              [tex]x_B = 50[/tex]

[tex]n_A = 100[/tex]                             [tex]n_B =250[/tex]

Solving (a): Standard error using formula

First, calculate the proportion of A

[tex]p_A = \frac{x_A}{n_A}[/tex]

[tex]p_A = \frac{30}{100}[/tex]

[tex]p_A = 0.30[/tex]

The proportion of B

[tex]p_B = \frac{x_B}{n_B}[/tex]

[tex]p_B = \frac{50}{250}[/tex]

[tex]p_B = 0.20[/tex]

The standard error is:

[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * (1 - 0.30)}{100} + \frac{0.20* (1 - 0.20)}{250}}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{\frac{0.30 * 0.70}{100} + \frac{0.20* 0.80}{250}}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{\frac{0.21}{100} + \frac{0.16}{250}}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{0.0021+ 0.00064}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{0.00274}[/tex]

[tex]SE_{p_A-p_B} = 0.052[/tex]

Solving (a): Standard error using bootstrapping.

Following the below steps.

Open StatkeyUnder Randomization Hypothesis Tests, select Test for Difference in ProportionsClick on Edit data, enter the appropriate data Click on ok to generate samplesClick on Generate 1000 samples ---- see attachment for the generated data

From the randomization sample, we have:

Sample A                          Sample B

[tex]x_A = 23[/tex]                              [tex]x_B = 57[/tex]

[tex]n_A = 100[/tex]                             [tex]n_B =250[/tex]

[tex]p_A = 0.230[/tex]                          [tex]p_A = 0.228[/tex]

So, we have:

[tex]SE_{p_A-p_B} = \sqrt{\frac{p_A * (1 - p_A)}{n_A} + \frac{p_A * (1 - p_B)}{n_B}}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{\frac{0.23 * (1 - 0.23)}{100} + \frac{0.228* (1 - 0.228)}{250}}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{\frac{0.1771}{100} + \frac{0.176016}{250}}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{0.001771 + 0.000704064}[/tex]

[tex]SE_{p_A-p_B} = \sqrt{0.002475064}[/tex]

[tex]SE_{p_A-p_B} = 0.050[/tex]

Please help! Thank you!

Answers

Answer:

D: (2, -3)

Step-by-step explanation:

We have;

y = 3x - 9 - - - (1)

y = -2x + 1 - - - (2)

By substitution method, from eq 1, we see that: y = 3x - 9

Thus,let's put 3x - 9 for y in eq 2;

3x - 9 = -2x + 1

Rearranging to get;

3x + 2x = 9 + 1

5x = 10

x = 10/5

x = 2

Thus;

y = 3(2) - 9

y = 6 - 9

y = -3

Thus,the solution (x, y) = (2, - 3)

Sum of all edges of all shape

Answers

Answer:

Infinient amount buddy. They are infinent amounts of polygons, as a polygon is a shape with more then 3 sides and closed. This means as long as a number is bigger then 3, there will be a shape for it, so infinent sides

Step-by-step explanation:

The
Slope
a line that goes
through the points (r, 6 ) and (4,2
is 4 find r​

Answers

R= 5
(2-6). -4
—— = ——-
(4-r). (This has to be -1 for the answer to be 4)
4-5=-1
So r=5


Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12

Answers

Answer:

[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]

In the figure below, which term best describes point R?

A. Orthocenter
B. Centroid
C. Incenter
D. Circumcenter

Answers

C should be right home

Orthocenter is the best term to describes point R in the triangle UVW.

What is orthocenter?

" Orthocenter is defined as intersecting point of the altitudes of the sides of the acute angle triangle."

According to the given figure,

In triangle UVW,

Ray VR perpendicular to UW

Ray UR perpendicular to VW

Ray WR perpendicular to UV

Altitudes of side  ( UV , VW, and WU) of triangle UVW intersect at

point R.

As per the definition of orthocenter , point R represents orthocenter.

Hence, orthocenter is the best term to describes point R in the triangle UVW.

Learn more about orthocenter here

https://brainly.com/question/19763099

#SPJ2

A model train is built at a scale of 1 to 60. If the model train is 10 inches long, how many feet long is the actual train?

Answers

Answer:

Step-by-step explanation:

um yes..!

A camera rental company charged a fixed amount plus a fee based on the number of days for which the camera is rented. The graph below shows the amount paid for a different number of days to rent the camera:

Answers

Answer:

$40

Step-by-step explanation:

It's the value on the y-axis. (0 days)

work out 8^1/3
^1/3 = power

Answers

Answer:

8/9 (decimal: 0.888889)

Answer:

[tex]2[/tex]

Two is the answer.

Step-by-step explanation:

simple explanation is; when you go through your two times table.. in order to arrive at eight, (8), you have to mention or go through 3 numbers

Or .... cube root of 8 is two..

PLEASE MARK ME BRAINIEST

What is the measure of angle x? Round to the
nearest tenth. .
28
21

Answers

This isn’t the answer but 3 to the power of 3 is 27 not 9 because that’s 3x3 of and amogus

Can someone help ASAP

Answers

The +2 goes on the Y-Axis… From
the 2 count up 3 times and go to the right 2 times

Which of the following is the point-slope form of the equation with slope 3 that goes through the point (4,2)?

Answers

Answer:

y–y1 =m (X–X1)

y–2=3(x–4)

y=3x–10

Find the equation of the line below.
10
(4,8)
х
t(1,2)
- 10
10
- 10
O A. y = 2x
O B. y = 1x
O C. y = x
O D. ya

Answers

Answer:

y=2x

Step-by-step explanation:

The line passes through the origin, so the y-intercept = 0

the slope m can be found with

m = (y2-y1)/(x2-x1) = (8-2)/(2-1) = 2

Therefore the equation of the line is

y = 2x + 0 = 2x

Answer:

A) y = 2x

Step-by-step explanation:

We are given the points (4,8) and (1,2).

[tex]\frac{2-8}{1-4}=\frac{-6}{-3}=\frac{6}{3}=\boxed{2}[/tex]

The line passes through the origin.

Option A should be correct.

Hope this helps.

A summer music program admits a total of 30 students. Every year the program is filled. Some years there are only girls, and some years there are only boys. A function, f, is written that gives the number of girls, y, enrolled in the program based on the number of boys, x. If this function is graphed over the appropriate domain, which statement must be true? Select all the statements
that apply.

Answers

Answer:

c d

Step-by-step explanation:

trust me

The graph makes it appear that there are how many times as many students per teacher at North HS as there are at
West HS?
Student Teacher Ratios at Area High Schools
North RS
East HS
13
West HS
12
14
18
22
a.
b.
10
2 times
3 times
4 times
5 times
C.
d.

Answers

Answer:

5 times

Step-by-step explanation:

Using visual inspection, the bar of North HS is 5 times longer Than the bar of West HS.

The gtids are of equal size, West HS occupies one portion of the grid, while North HS occupies 5 portions of the grid

5 portions / 1 portion = 5

Hence, North HS according to the graph is 5 times West HS

Help Help Help it's in khan academy

Answers

Answer:

Step 1 is wrong

Step-by-step explanation:

[tex] \frac{1}{4} r+ 2 = 10[/tex]

[tex] \frac{r}{4} + 2 = 10[/tex]

[tex] \frac{r}{4} = 10 - 2[/tex]

[tex] \frac{r}{4} = 8[/tex]

[tex]r = 8 \times 2[/tex]

[tex]r = 32[/tex]

Hope it is helpful...

What is the solution to -2(8x - 4) < 2x + 5?

Answers

Answer:

See image below:)

Step-by-step explanation:

Help (PLATO)
its Algebra

Answers

Answer: The answer is D

Step-by-step explanation:

You add z to the other side then it will cancel out which then it would be (w+z)  and then you times it by 2 by both sides which would be 2(w+z) and then you would subtract x from both sides which will be 2(w+z)-x

Hopefully this helps

WILL GIVE BRAINLIEST FOR ANSWER

Answers

Answer:

the answe is 187 cm square

answer: 185 cm^2
explanation:
area of triangle: 1/2 x b x h
(1/2 x 6 x 7) = 21
there are two of these triangles, so double this number to get 42
(1/2 x 6 x 11) = 33
there are also two of these triangles, so double this number as well to get 66
area of rectangle: l x w
7 x 11 = 77
finally, add all of these numbers to get your answer.
77 + 66 + 42 = 185

Double Dice is a game in which two dice are rolled. A player wins the game if a certain sum is rolled. A player wins $7.00 if he rolls a sum of 5 or 6 and $20.00 if he rolls a sum of 2 or 3. He wins nothing if any other sum is rolled.
A. Define the random variable, X.
B. Write out the probability distribution function for the game.
C. What is the expected value of the game?
D. Assuming you have to pay $6.00 to play the game, explain what happens in the long run. (Is it a good idea to play the game?)

Answers

Answer:

3.417

Kindly check explanation

Step-by-step explanation:

X : $7 ; $20 ; $0

Sample space for the sum of two die rolls :

Probability of obtaining a sum of 5 or 6 ;

P(sum of 5 or 6) = 9/36 = 1/4

Probability of obtaining a sum of 2 or 3 ;

P(Sum of 2 or 3) = 3/36 = 1/12

Probability of obtaining a sum of other Tha 2,3, 5 or 6 ; = 24/ 36 = 2/3

The probability distribution :

X _____ 0 _______ 7 _____ 20

P(x) ___ 2/3 _____ 1/4 ____ 1/12

Expected value of the game ; E(X) ;

E(X) = Σx*p(x)

E(X) = (0*2/3) + (7*1/4) + (20*1/12)

E(X) = 0 + 1.75 + 1.6667

E(X) = 3.417

This means that if the game is paid for a long time, the mean or expected winning will be ; $3.417

If game has to be played with $6 ; then to determine if it is a good idea to play the game on a long run, we calculate the payoff ;

The payoff is :

Expected value - playing cost

$3.417 - $6  = - $2.583

Since payoff is negative, we can conclude that it is not a good idea to play the game in the long run : as the expected value is lesser than the playing fee.

ayuda ÷18=40 que número falta​

Answers

Respuesta: 720

Para encontrar el número que falta,

multiplica 18 x 40.

18 x 40 = 720

Answer:

720

Step-by-step explanation:

x÷18=40

x=18•40

x=720

use quadratic formula to solve these equation (a).3x²+6x+2=0​

Answers

Answer:

Step-by-step explanation:

3x² + 6x + 2 = 0

Quadratic Formula is:

                 

x = -b ± √b²- 4ac/2a

So...

Δ = b² - 4ac = 6² - 4.3.2 = 12

x = -6 ± √Δ/2.3 = -6 ± √12/6

x' = -6 + √12/6 ≈ -0,4227

x'' = -6 - √12/6 ≈ -1,5774

S = { -0,4227 , -1,5774 }

I think this is it.

GOOD STUDIES!

Five schools are going to send their baseball teams to a tournament, in which each team must play each other team exactly once. How many games are required

Answers

20 one team plays four other teams

Answer:

20 games are required to be play

What is the perimeter of the trapezoid? In unit

Answers

Answer:

20 units

Step-by-step explanation:

the perimeter = 7+4+4+5 = 20 units

Identify which type of sampling is​ used: random,​ systematic, convenience,​ stratified, or cluster. To determine customer opinion of their safety features​, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.

Answers

Answer:

Cluster

Step-by-step explanation:

According to the Question,

Given this, Daimler−Chrysler randomly selects 100 service centers during a certain week and surveys all customers visiting the service centers.

This is a Cluster type of Sampling.

Cluster sampling is a type of sampling method in which the population under study is divided into different groups known as clusters before simple random samples are selected from each population cluster. The analysis of such a population is carried out based on the sampled clusters. This method is adopted when a researcher does not have access to the whole population under research.

Advantages of cluster sampling

The research method only needs fewer resources. The sample under review is feasible.

Note: Cluster sampling is not as accurate as simple or stratified random sampling.

Need the answer to number 4

Answers

Answer:

[tex]\sqrt{85}[/tex] /2

Step-by-step explanation:

lets find hypotenuse( longest side) first

let other two samller sides be a and b and hypotenuse be c

pythagorsd theorem

a^2 + b^2 =c^2

9^2 + 2^2 =c^2

81 + 4=c^2

85 =c^2

[tex]\sqrt{85}[/tex] =c

take theta as reference angle

cosec theta=hypotenuse/opposite

=[tex]\sqrt{85}[/tex] / 2

Answer:

Answer is B. CSC ∅ = √85 /2

Step-by-step explanation:

CSC = 1 / Sin ∅

So first find Sin ∅ = 2 / √ 85 and then substitute in the formula

And oh, in case you're wondering, √ 85 is the hypotenuse side which you find like this:

√ 9² + 2²

√ 81 + 4

√ 85

What is the slope of the line that contains the points (-1,-1) and (3, 15)?
O A.
1
4
B. 4
O C. -
4
D. -4

Answers

Answer:

its b

Step-by-step explanation:

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Consider Triangle PRQ and Triangle RST to be equilateral triangles of different sizes.(1 Point)21Which number will give us a quotient of - 4, if we divide - 24 by ..(1 Point)a) 4b) - 6c) - 4d) 622If 2 ( 3 2 x ) = 3 ( x 5 ) then x = .(1 Point)a) 3b) 3c) 6d) 623The teacher asked the class to divide a given number by 24- Rohit divided the number by 24 and got the correct answer 20- Mohit divided the number by 6 and got an answer which he again divided by 4 and obtained the final answer- Rakesh divided the number by 2.4 and then divided the answer again by 10- Allen divided the number by 2.4 and then multiplied the answer obtained by 10 Now choose the best solution from the below options.(1 Point)a) Only Rohit got the correct answerb) Both Rohit and Mohit got the correct answerc) Rohit, Mohit and Rakesh all got the correct answerd) Rohit, Mohit and Allen all got the correct answer24Abhay and Binu both started walking starting at the same time and at the same rate of 5 km / hour. Abhay walked on the boundary of a big circle and Binu walked on the boundary of a small circle and both these circles were having the same center. Abhay completed 3 circles, whereas Binu completed 7 circles after half an hour. After half an hour ...................(1 Point)a) Abhay has walked more than Binu, as he walked on the boundary of the bigger circleb) Binu has walked more than Abhay, as he has walked more circles than Abhayc) Both of them have covered the same distanced) With the information given above, we cannot say who walked more25Which sign will you put in between [ 120 .. ( 3 / 11 ) ], so that the answer or result is the highest number(1 Point)a) +b) c) xd) Shelton Company has the following account balances at year-end: Accounts receivable $140,000 Allowance for doubtful accounts 7,200 Sales discounts 4,800 Shelton should report accounts receivable at a net amount of:__________a. $120,000. b. $ 12,800.c. $1 08,000. d. $115,200 What percent of 8 is 1,280? A 16096 O B. 16,000% O O O C. 1,600% D. 1.6%