What is the solution to the following system of equations?
3x - 6y = -12
x - 2y = -8

(1) Use the substitution method to justify that the given system of equations has no solution.
(2) What do you know about the two lines in this system of equations?

Answers

Answer 1

Answer:

1.) x=2y-4

2.) x=2y-4 :)

Answer 2

Answer:

[tex]3x - 6y = - 12 ..........i)\\ x - 2y = - 8............ii) \\ x = 2y - 8 \\ Substituting \: the \: value \: of \: x \:in \: equation \: i) \: we \: get \\ 3(2y - 8) - 6y = - 12 \\ 6y - 24 - 6y = - 12 \\ Here \: we \: can \: see \:that\: the \: value \: of \: y \: cannot \: be \: found \\ Equation \: is \: in \: form \: a \frac{}{1} x + b \frac{}{1} y + c \frac{}{1}= 0\:and \\ a \frac{}{2} x + b \frac{}{2} y + c \frac{}{2} = 0 \\ where, \: \: \frac{a \frac{}{1} }{a \frac{}{2} } = \frac{b \frac{}{1} }{b \frac{}{2} } \\ Therefore \: lines \: are \: parallel \: to \: each \: other \\ Lines \: have \: no \: solution.[/tex]


Related Questions

i need also need help with this ​

Answers

Answer:

umm you need help with what

Step-by-step explanation:

there is no question

Point R on the coordinate grid below shows the location of a car in a parking lot. A second car needs to park 6 units above R to leave room for a utility truck. What are the coordinates of the location of the second car?

Image of a coordinate grid with point R R located at negative 1, negative 3.
(3 points)

(−1, −3)
(−1, 3)
(5, −3)
(5, 3)

Answers

Answer:

Point R is located at the point (-1,-3)

The car needs to park 6 units above point R.

When you are moving something up or down on the coordinate grid, you are affecting the y- axis. So to find the coordinates we would keep the x value and add 6 to the y value.

Coordinates of the second car

(-1, -3 +6)

(-1 , 3)

The answer to this question is B

Adding a positive to a negative is the same as subtracting.

EX:

We were adding 6 and -3

Adding 6 and -3 is the same as subtracting 3 from 6.

Either way we get the same answer.

B is your answer

Hope this helps!

Literally the last question pls get it right

Answers

-1 or option c is correct. Use the given functions to set up and simplify f(−2).
it’s -1
when you plug in -2 with the exponent it turns to 4
3-(-2)^2
3-4= -1.

The Quality Control Department employs five technicians during the day shift Listed below is the number of times each technician instructed the production foreman to shut down the manufacturing process last week.

Technician Shutdown
Taylor 4
Hurley 3
Gupta 5
Rousche 6
Huang 3

Required:
a. How many samples, without replacement, of size two are possible?
b. Compute the mean of the sample means and compare it to the population mean. (Round your answers to 1 decimal place.)

Answers

Solution :

Number of different samples of two technicians possible is = 10, as 2 technicians are to be chosen from a total of 5 technicians.

a). Therefore, 10 different samples are possible of size two.

b).

        Sample                    Shut down         Mean

1. Taylor, Hurley                 4, 3                    3.5

2. Taylor, Gupta                 4, 5                    4.5

3. Taylor, Rousche             4,6                      5

4. Taylor, Huang                4, 3                    3.5

5. Hurley, Gupta                 3,5                       4

6. Hurley, Rousche             3,6                      4.5

7. Hurley, Huang                 3,3                       3

8. Gupta, Rousche              5,6                       5.5

9. Gupta, Huang                  5,3                       4

10. Rousche, Huang            6,3                      4.5  

                                                                        42

Now mean of sample means  [tex]$=\frac{42}{10}$[/tex]    = 4.2

Mean of population is = [tex]$\frac{4+3+5+6+3}{5}$[/tex]    = 4.2

Thus both the means are equal.

One ball is drawn from a bag containing 4 red balls numbered 1–4 and 10 white balls numbered 5–14. Find the following probabilities.
What is the probability that the ball not divisible by 3?

Answers

Step-by-step explanation:

9 in total numbers can't be divided by 3...

therefore your probability will be = 9/14

= 0.64

28.2% of 92 this is for math

Answers

Hey there!

Usually when you come across the word “of” in mathematical problems , it simply means that you’re multiplying

So we can simply multiply 28.2% from 92

28.2% = 28.2/100 = 0.282

New equation

0.282 * 92 = the answer

0.282 * 92 = 25.944

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

what is the value of x in the eqation 5[x-6] = 2 [x+3]

Answers

Answer:

x = 12

Step-by-step explanation:

5x - 30 = 2x + 6

3x = 36

x = 12

Answer:

x=12

Step-by-step explanation:

1) distribute values:

5x-30=2x+6

2) add 30 to both sides

5x=2x+36

3) subtract 2x from both sides

3x=36

4) divide by 3

x=12

A math quiz has 10 questions and is scoreout of 100. Each question is worth the same. The function S (q) represents the quiz score, S, in terms of the number of correctly answered questions, q. Determine whether each statement below is true or false. Select True or False for each stateent.

Answers

Answer:

False

True

True

False

Step-by-step explanation:

got it right on the test

What temperature is halfway between 0 and 14 degrees

Answers

Answer:

Step-by-step explanation:

you get the minimum +the maximum ÷ 2

so : (0+14)÷2 =7°

answer ASAP pls
thanks and God bless you

Answers

Answer:

We need to plug in the numbers for x and y into the expression for x and y.

[tex]2x^{2} - y\\\\2(3)^{2} - (-2)\\\\2(3)^{2} + 2\\\\18 + 2\\\\20[/tex]

The simplified answer is 20.

What is the answer to this?

Answers

Answer:

dfgv nm./

Step-by-step explanation:

What is the y-value of the solution of the system of equations given below?
3x + 2y = -6
y = 2x + 4

Answers

Point form: (-2, 0)
Equation form: x=2, y=0

What is -23/6 - 7/3
A-37/6
B-30/9
C-16/6
D37/6​

Answers

Answer:

A

Step-by-step explanation:

i solved it

karie builds a skate ramp with 2 metres of wood. she wants the vertical height of the ramp to be 1 metre. what does the angle elevation need to be

Answers

9514 1404 393

Answer:

  30°

Step-by-step explanation:

The relationship between triangle sides and angles can be remembered using the mnemonic SOH CAH TOA. Here, we're interested in the relationship involving the hypotenuse and the side opposite the angle:

  Sin = Opposite/Hypotenuse

For a ramp 1 m high and 2 m long, we have ...

  sin(x) = (1 m)/(2 m) = 1/2

  x = arcsin(1/2) = 30°

The elevation angle of the ramp needs to be 30°.

Leshonda had been working at her job for almost twenty years. She felt like she worked overtime more often than not (more than 50% of the time) and deserved a raise, so she randomly selected 50 paychecks (each for one week of work) and found that she had worked overtime in 32 of those weeks. Use a TI-83, TI-83 plus, or TI-84 calculator to test whether Leshonda worked overtime more often than not. Identify the p-value, rounding to three decimal places.

Answers

Answer:

Z statistic = 1.980

Pvalue = 0.024

Step-by-step explanation:

Sample size (n) = number of paychecks = 50

Number of overtime (x) = 32

Let Number of overtime = o

Claim : Overtime work is done more than 50% of the time ;

Null hypothesis:H0: o = 0.5

Alternative hypothesis : H1: o > 0.5

Using the T84 calculator :

Selecting the 1 proportion test under the Stat menu:

p0 = 50% = 0.5

x = 32 ; n = 50 ; >p0

The z test statistic value obtained is 1.980 (3 decimal places)

The P value = 0.024 (3 decimal places)

At α = 0.05 ;

P value < α ; therefore we reject the null

Hence, overtime work is done more than 50% of the time.

What is the volume of the rectangular prism below?



A

16 cubic units


B

20 cubic units


C

23 cubic units


D

32 cubic units

Answers

Answer:

D- 32 cubic units

Step-by-step explanation:

count each side and then multiple the numbers

does anyone know the answer ?

Answers

Answer:

your answer is D.

Step-by-step explanation:

when the square of r crosses over the square will become square-root

A= πr^2

r=√π/A

when A crosses over it has to be under.

What is the value of the expression below? 3x + (12 - 3) - x, when x = 2.5 A. 13 B. 14 C. 15 D. 19

Answers

Answer:

The answer to this question is: (B)

Which is "14"

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

HOPE this helped if so PLEASE leave a "Rating" and a "LIke" and PLEASE mark me brainliest if I have the best answer! THANKS! :))))

Ellen collected 88 empty cans to recycle,and Carl collected 72 cans. They packed an equal number of cans into each of two boxes to the recycling center

Answers

ellen had 44 per box and carl had 36 per box

but if they had only two boxes altogether then each box had 80 cans in it

find the amount accumlatrd after investing a principal P for t years at an interest rate compound annuay. P= $12,000 r=7.5% t=7 ​

Answers

Answer:

A = $19,908.59

Step-by-step explanation:

Compound Interest

Compound interest occurs when the interest earned in a given period is reinvested rather than paying it out. The interest in the next period is then earned on the principal sum plus previously accumulated interest.

The formula is:

[tex]{\displaystyle A=P\left(1+{\frac {r}{k}}\right)^{kt}}[/tex]

Where:

A = final amount

P = initial principal balance

r = interest rate

k = number of times interest applied per time period

t = number of time periods elapsed

We are given the following data:

P = $12,000

r = 7.5% = 7.5/100 = 0.075

t = 7

k = 1 since there is only on compounding per year.

Applying the formula:

[tex]{\displaystyle A=\$12,000\left(1+{\frac {0.075}{1}}\right)^{7}}[/tex]

[tex]{\displaystyle A=\$12,000\left(1.075\right)^{7}}[/tex]

A = $19,908.59

I need help with this

Answers

Answer:

A

Step-by-step explanation:

process of elimination... :D

Assume that you have a choice between a manufacturing job and a sales job. The annual earnings from the manufacturing job will have a normal distribution with a mean of $40 000 and a standard deviation of $9 000. The annual earnings from the sales job will have a normal distribution with a mean of $35 000 and a standard deviation of $9 000. What is the probability that you would earn more than $45 000 per year if you select one or the other

Answers

Answer:

0.42124

Step-by-step explanation:

Manufacturing job :

Mean (m) = 40,000

Standard deviation (s) = 9000

Sales job :

Mean (m) = 35000

Standard deviation (s) = 9000

Probability of earning more than 45000 if one or the other job is selected;

Obtaining the standardized scores and probability for each :

Z = (x - m) / s

P(x > 45000)

Z = (45000 - 40000) / 9000 = 0.5555

= 0.56

P(Z > 0.56) = 0.28774(Z probability calculator)

For sales :

P(x > 45000)

Z = (45000 - 35000) / 9000 = 1.1111111

= 1.11

P(Z > 1.11) = 0.1335 (Z probability calculator)

0.28774 + 0.1335 = 0.42124

10 -(-6) can someone solve this for me please

Answers

Step-by-step explanation:

1 0 +6 =16

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

Answer: its 16 :)

Step-by-step explanation: see the negitive sign next the negitive, that means its positiveee

11) It takes you 15 minutes to frost a 2 layer cake. You and a friend have 100 1 point
cakes to frost for the church bake sale. How many hours will it take the two
of you to frost all of the cakes if you work at the same time rate? Hint: It
takes you 15 minutes to frost one cake, you can frost 4 cakes in 1 hr. *
B. 8 hours
O c. 12.5 hours

Answers

Answer:

12.5 hours

Step-by-step explanation:

100/4=25

25/2=12.5

Please help and explain how you got the answer. Im giving out brainliest. || Q3

Answers

Answer:6:8

Step-by-step explanation:

The Answer to the problem is is 6:8

Explain how to solve the equation.

B - 7 = 12 ​

Answers

Get the B by itself

So take the -7 and add it to the 12 on the other side

So now we have B = 12 + 7

So now B = 19

And now if we replace B

19-7=12

B=19

Answer:

So if you take the 12 and add it to the 7 you get 19 then do 19 mines 7 and you get 12 so always add the sum to the number given to get the missing number

Step-by-step explanation:

Have a great day

-10 -(-5) can someone answer dis for me please
.

Answers

Answer:

-5

Step-by-step explanation:

yw

Answer:

-5

Step-by-step explanation:

the two minus signs next to each other make it a plus sign so the equation would become

-10 + 5

which is -5

PlEASE HELP ILL GIVE OUT BRAINLEIST

Answers

Try 4 dollars and $.25

the answer below thanks

Answers

Answer:

The equation of the circle having centre (-5,-9) and radius r=3  is

x² + 10 x +y² + 14 y + 65 = 0

Step-by-step explanation:

Explanation:-

From graph  The centre of the circle  C( -5 , -7)

The radius of the circle r = 3cm from the centre of the given circle

The equation of the circle



From graph the centre ( h, k) = ( -5,-7) and r = 3cm

                 [tex](x-(-5))^2+(y-(-7))^2 = 3^2[/tex]

                x² + 10 x +25 +y² + 14 y + 49 =9

              x² + 10 x +25 +y² + 14 y + 49 -9=0

 The equation of the circle

                x² + 10 x  +y² + 14 y + 65 = 0  

 



                     

Please please please hellllllppp meeeeee !!!!!!!!!

Answers

ANSWER: 77
Explanation: Making 88 in 8 minutes means that the machine is making 11 per minute thus being said if the machine worked for 7 minutes it would make 77 pens.
88/8=11
11*7=77
Other Questions
Olive, the owner of Olives Orchard, contracts to sell its harvest to Pure Foods, Inc. Later Olive refuses to perform. Pure Foods files a suit to enforce the contract. Olive and Pure Foods are in a state that does not recognize the doctrine of unconscionability. To defend successfully against enforcement of the contract on similar grounds, Olive might rely on traditional notions of a.materiality. b.mistake. c.value. d.fraud. . Consumers depend on plants or other organisms for food. When animals eat plants or other animals veedoes the energy from that food go? craig went to the store yesterday. he bought a pack of ice cream for $0.98, bottle of soda for $1.19, and a lunchable for $4.89. How much money did he spend altogether? Show work don't forget label why was it illegal for a slave to read and write? and what would happen if they get caught? Data for January for Bondi Corporation and its two major business segments, North and South, appear below:Sales revenues, North $ 548,000 Variable expenses, North $ 318,000 Traceable fixed expenses, Nort $ 65,600 Sales revenues, South $ 423,500 Variable expenses, South $ 241,600 Traceable fixed expenses, South $ 54,800 In addition, common fixed expenses totaled $148,600 and were allocated as follows: $77,200 to the North business segment and $71,400 to the South business segment.A properly constructed segmented income statement in a contribution format would show that the segment margin of the North business segment is:a. $87,200b. $318,000c. $164,400d. $152,800 Q What was one reason why the equal rights amendment failed?A. Fewer women wanted to enter the workforce by the 1970s.B. Only seven states ratified the amendment in the allotted time.C. Many people feared potential unintended effects of the amendment because it was vaguely worded. < I think is correct? D. None of the above are reasons for the amendment's failure. can someone help me fast please Spammers will be reported!Solution needed with a fair explanation what type of people make the law ? 1. A 50 gram sample of a radioisotope decays to 12.5 grams in 14.4 seconds. What isthe half-life of this isotope? find the value of trignomwtric function: sec330 ............................... Find the rate of change for the set of data provided in the image below.Forearm: 14, 15Foot: 14, 16A. 2/3B. 3/2C. 3D. 2 Select the correct answer.What do these lines from Antigone show about Creon's character?CREON:Better, if needs be, men should cast us outThan hear it said, a woman proved his matchA.B.He greatly dislikes women.He's very afraid of women.He has a patriarchal point of view.He has a deep respect for women.C.ODE.He believes all women are alike. A student worked out at a gym continuously for 50 minutes. The graph shows the remaining percentage of the workout as a linear function of x , the time in minutes.Which answer choice best describes the domain and range of the function for this situation? Can someone please do this essay for me if you want a brainliest?? Please what year was the Mona Lisa created in? (fast replies only) find the slope of each line5. y= -2x+5. 6. 3x+6y=12 Identify the part of speech for the word "but" in each sentence. help please! 16 points