Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) x1 + x2 + x3 = 0 x1 + x2 + 9x3 = 0

Answers

Answer 1

Answer:

x1 = t, x2 = -t and x3 = 0

Step-by-step explanation:

Given the system of equation

x1 + x2 + x3 = 0 .... 1

x1 + x2 + 9x3 = 0 .... 2

Subtract both equation

x3 - 9x3 = 0

-8x3 = 0

x3 = 0

Substitute x3 = 0 into equation 1

x1 + x2 + 0 = 0

x1+x2 = 0

x1 = -x2

Let t = x1

t = -x2

x2 = -t

Hence x1 = t, x2 = -t and x3 = 0


Related Questions

can someone give me 500 pts and 5 brainliest

Answers

Answer:

No -_-

Step-by-step explanation:

wot why??- 0,0

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5 cards are drawn at random from a standard deck. Find the probability that all cards are face cards.

Answers

Answer:

99 / 324,870 or 3%

Step-by-step explanation:

there are 12 face cards out of a total of 52 cards

probability of 5 face cards = [tex]\frac{12}{52}[/tex] · [tex]\frac{11}{51}[/tex] · [tex]\frac{10}{50}[/tex] · [tex]\frac{9}{49}[/tex] · [tex]\frac{8}{48}[/tex]

The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Calculation of the probability:

Since 5 cards are drawn at random from a standard deck

Also, we know that

there are 12 face cards out of a total of 52 cards

So here the probability be like

[tex]= 12/52 \times 11/51 \times 10/50 \times 9/49 \times 8/48[/tex]

= [tex]99 / 324,870[/tex]

Hence, The probability that all cards are face cards at the time when 5 cards are drawn at random from a standard deck should be [tex]99 / 324,870[/tex]

Learn more about probability here: https://brainly.com/question/21102470

20% of __________ is 21. PLS HELP

Answers

Answer:

105

Step-by-step explanation:

0.2(x)=21

x=21/0.2

x=105

In the group of ordered pairs shown, the x-values are inputs and the y-values are outputs. Which statements are true about the inputs and outputs?
Select all that apply
(2, 4), (6, 3), (5, 4). (7,3), (8.2)
A There is only one input for every output.
B. There is only one output for every input.
C. There is more than one output for some inputs.
D. There is more than one input for some outputs.

Answers

I believe it is A and C. There can only be one output and one input. (2, 4) and
(5, 4) have more than one output.

Pls help will give brainlest to first person who answer correct 50 points

Answers

Answer:

-25/3

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

x = - 25/3

Step-by-step explanation:

10/3 = x/(-5/2)x = 10/3*(-5/2)x = - 25/3

zearn.org
MIL
Fraction Problem Solving
Sign out
Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓

Answers

Hmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm

Can someone help me? I don’t know how to solve it. Thank you!

Answers

Answer:

C. 5x^2 - 8x + 13

Step-by-step explanation:

If r * s = s to the power of r, then 3 * 2 =​

Answers

Answer:

[tex]3*2=8[/tex]

Step-by-step explanation:

We know that [tex]r*s=s^{r}[/tex], and we want to find [tex]3*2[/tex] using this formula. To do this, notice that [tex]r=3[/tex] and [tex]s=2[/tex], so all we have to do is substitute the given values into the formula. Therefore:

[tex]r*s=s^{r}[/tex]

[tex]3*2=2^{3}[/tex] (Substitute [tex]r=3[/tex] and [tex]s=2[/tex] into [tex]r*s=s^{r}[/tex])

        [tex]=8[/tex] (Simplify)

Hope this helps!

Given that line AD ll to line EH, find the measure of

Answers

Answer:

x=7.5

Step-by-step explanation:

Since AD II EH, ∠CBD=∠BFH (alternate angles)

2x+60=10x

8x=60

x=7.5

Answer:

x = 7.5

each angle measures 75°

Step-by-step explanation:

the two angles are corresponding, meaning they are equal

10x = 2x + 60

8x = 60

x = 7.5

PLEASE HELP ME!!! Find the area of the shaded region.

Answers

36

The answer is 36 because you have one side of the shaded region telling us it’s 9cm and there are 4 shaded sides so there for 9 x 4= 36. Hope this helps!

10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)

Answers

Answer:

10) Total Discount = $15 dollars; New Amount = $60 dollars.

11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.

12a) Percent Increase from $100 to $150: 50% increase.

12b) Percent Decrease from $150 to $100: 33.33% decrease.

Step-by-step explanation:

I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)

Your gym membership costs $25 per month after an initial membership fee. You paid a total of $215 after 7 months. Find the total cost after
12 months.
Answer: Total cost after 12 months is $

Answers

Answer:

$340

Step-by-step explanation:

$215 after 7 months including initial membership fee

$25 per month

A year has 12 months, so it's 5 months more than 7 months.

You need to find the price of 5 months and add to the price of the first 7 months that already includes the initial membership fee.

$25/month * 5 months = $125

The extra 5 months cost $125.

$215 + $125 = $340

Answer: $340

You deposit $2200 in a bank account. Find the balance after 4 years if the account pays 2% annual interest compounded daily

Answers

Answer:

$8800 might be wrong on that not sure

A publisher reports that 54% of their readers own a particular make of car. A marketing executive wants to test the claim that the percentage is actually different from the reported percentage. A random sample of 220 found that 50% of the readers owned a particular make of car. Determine the P-value of the test statistic. Round your answer to four decimal places.

Answers

Answer and explanation:

Null hypothesis: p is not 54%

Alternative hypothesis : p is equal 54%

First find standard deviation

Standard deviation is:

σ = √[ P ( 1 - P ) / n ] = √[ 0.54×0.46/220 ] =0.033

The z score is calculated p-P/σ = (0.54-0.50)/0.033 = 1.2121

Therefore we can conclude that proportions are not same and fail to reject the null hypothesis

how many 1/2 kg packets of salt can you obtain from 18 kg of salt​

Answers

Answer:

36

Step-by-step explanation:

18 × 2 = 36

Because 1/2 is half of 1 kg so multiply by 2 it makes 1 kg

A jar contained 8 balls: 6 red, 1 green and 1 blue. We randomly take a ball out of the jar. Once a ball is selected we do not put it back. We keep selecting balls until for the first time we get a blue one. We count the number of times we had to draw a ball, (including the last drawing) until we actually got the blue ball. How many elements are in the sample space for this experiment

Answers

Answer:

35

Step-by-step explanation:

Given that :

Number of balls = 8

Red (R) = 6 ; 1 green(G) ; 1 BLUE (B)

Possibilities unt a blue ball is picked :

B, RB, GB, RRB, RGB, GRB, G

Draw 1 = B = 1

Draw 2 = B = 2C1 = 2

Draw 3 = B = 3C2 = 3

Draw 4 = B = 3C3 + 3C1 = 1 + 3 = 4

Draw 5 = B = 4C4 + 4C1 = 1 + 4 = 5

Draw 6 = B = 5C5 + 5C1 = 1 + 5 = 6

Draw 7 = B = 6C6 + 6C1 = 1 + 6 = 7

Draw 8 = B = 6C6 + 6C1 = 1 + 6 = 7

Taking the sum:

(1 + 2 + 3 + 4 + 5 + 6 + 7 + 7) = 35

There are 35 elements in the sample space

what is 3x × -4x in algebra​

Answers

Answer:

-12

Step-by-step explanation:

3x×-4x

3×-4xto the power 1-1

-12×1

12

plz make me brainliest

the sum of 17 and 3 times x

Answers

Answer:

20x?

Step-by-step explanation:

Answer:

it will = 17+3x. hope it helps

Gabe​ Amodeo, a nuclear​ physicist, needs 90 liters of a ​50% acid solution. He currently has a 30% solution and a 60% solution. How many liters of each does he need to make the needed 90 liters of ​50% acid​ solution?

Answers

Answer:

You need two equations: one for solution amounts and one for alcohol amounts.

Step-by-step explanation:

90 = X + Y

45 = (0.6)/X + (0.3)Y

Here X = amount of 60 % solution and Y = amount of 30 percent solution. Note that percentages have been converted to decimal amounts in the second equation.

From here you have to solve two equations with two unknowns. Easiest to solve first equation for X = 90 - Y, then substitute into second equation. this get you one equation in one unknown. Solving you you will get

X = 30 liters and Y = 60 liters.

In a random survey of 300 people about the kind of apples they preferred, 178 said they preferred red apples. Based on these results, how many people out of 4500 would say they prefer red apples?
A.1830
B.2670
C.3084
D.4322

Answers

Answer:

2670

Step-by-step explanation:

4500/300 = 15

178*15=2670

(Click the Picture for my question) and thank you!

Answers

The answer should be C

Answer:

D

Step-by-step explanation:

By definition, π is defined to be the ratio of a circle's circumference to its diameter. In other words:

[tex]\displaystyle \pi=\frac{C}{d}[/tex]

In fact, if you multiply both sides by the diameter d, you can see that:

[tex]C=\pi d[/tex]

Which is the formula for circumference you've been commonly taught.

Given the endpoint of (-5, - 3) and midpoint of
of (-0.5,0)
find the coordinate point of the other endpoint

Answers

Answer:

You have to plot these points on the graph and find out what the slope is that way or find the slope using the slope form. (below) Then using the slope add the y-coordinate and x-coordinate to the appropriate places in the ordered pair (-0.5,0) this will give you your answer of ordered pair.

Step-by-step explanation:

SLOPE FORMULA-

y2-y1 / x2-x1

Pls help I’m failing math I’ll brainlest

Answers

Answer:

z=-9 - 5.4

hope it helps

Step-by-step explanation:

please mark me brainliest

Which relation is a function?


{(1, −1), (−2, 2), (−1, 2), (1, −2)}

{(1, 2), (2, 3), (3, 2), (2, 1)}​

{(1, 4), (2, 3), (3, 2), (4, 1)}

{(4, 2), (3, 3), (2, 4), (3, 2)}

Answers

Answer:

c

Step-by-step explanation:

because all the x values in c are different

the answer is c because it’s the only option with all differing x values

I need help please?!!!!

Answers

The answer is the last option: The associative property of multiplication

Is the expression 3(x+1 1/2)-3 equivalent to 3x+ 1 1/2

Answers

Answer:

Yes

Step-by-step explanation:

3(x+5.50)-3

3x+16.50)-3

-3(3x+16.50)

Tori earned $62.86 as a bonus from her job. She decided to buy as many CDs as possible since they were on sale for $8.80 each. Estimate how many CDs Tori can buy.

Answers

Answer:

approximately 7 CDs for her bonus

Answer:

Toris can buy about 7 CDs

Step-by-step explanation:

63 Divided by 9 = 7

Proportionally means
2 fractions (ratios) are NOT equal


2 fractions (ratios) are equal

Answers

Answer:

2 fractions are equal

Step-by-step explanation:

We say that two quantities are proportional if one is always the same multiple of the other.

Say a recipe calls for 2 cups of flour to 3 eggs. That proportion, 2 cups flour : 3 eggs, will always stay the same, no matter how many serving we make. If we make 2 servings, we'd double to 4 cups and 6 eggs, but that wouldn't change the proportion. After all,

[tex]\frac{2}{3}=\frac{4}{6}[/tex]

3. Without doing any calculations, compare Expression A to Expression B.
A. (34+25)=14
B. 34+25
Which statement is true?
CA. Expression A is 2 times as great as expression B.
B.Expression B is 4 times as great as expression A. -Yes
CC.Expression A is 4 times as great as expression B.
D. The two expressions are equal to each othe
7 long roms of plants

Answers

The answer to the question is CC

What number is 120% of 16?

Answers

Answer:19.2

Step-by-step explanation:

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