If the ordered a pair (6,2) is the solution to the system, what does that mean?

Answers

Answer 1

It means that the point (6,2) is on both graphs at the same time. In short, it is the intersection point of the two graphs.

Algebraically, the ordered pair (x,y) = (6,2) makes all of the equations in the system to be true equations. A true equation is one where it simplifies to have the same number on both sides.

A system with at least one solution is considered a consistent system. If there is only one solution, then the system is also considered independent.


Related Questions

PLEASE PLEASE HELP GIVING BRAINALIST AND EXTRA POINTS FOR FIRST PERSON

Answers

Answer:

17. x = -2

18. All real numbers

19. No solution

Step-by-step explanation:

17. 10z + 26 = -3z

    -10z            -10z

26 = -13z

Divide both sides by -13

-2 = x

18. 4(3x - 5) = 2(6x - 10)

Distribute the 4

12x - 20 = 2(6x - 10)

Distribute the 2

12x - 20 = 12x - 20

Both sides are equal

All real numbers

19. 6m - 3 = 3(2m - 4)

Distribute the 3

6m - 3 = 6m - 4

     +3             +3

6m = 6m - 1

-6m   -6m

0 = -1

No solution

I hope this was helpful! <3

Could I get brainliest?

hector and alex traded video games. alex gave hector one fourth of his video games in exchange for 6 video games. then he sold 3 video games and gave 2 video games to gis brother. alex enbed up with 16 video games. how many video games did alex have when he started?​

Answers

Answer:

The answer is 26.

Step-by-step explanation:

0.08 as a ratio term

Answers

Answer:

4:10=2:5

Step-by-step explanation:

Answer:

4:10 can be used as a ratio term

a student has answered 82% of the questions correctly in the examination. He made mistakes in 9 questions Calculate the toltal number of questions in the examination​

Answers

Answer:

There is a total 50 questions.

Step-by-step explanation:

Let x = total questions in the exam

Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.

With this information we can write:

[tex]18\%x=9[/tex] (Given that the student made 9 mistakes)

[tex]x=9\div18\%[/tex] (divide 18% on both sides)

[tex]x=50[/tex]

∴ There was a total of 50 questions in the examination.

Find all zeros of the polynomial P(x) = x3 - 3x2 - 10x + 24 knowing that x = 2 is a zero of the polynomial.

Answers

Answer:

x = 2, x = 4, x = -3

Step-by-step explanation:

GivenP(x) = x3 - 3x2 - 10x + 24One of zeros is x = 2To findAll zerosSolution

x³ - 3x² - 10x + 24 is divisible by x - 2 as one of zeros is 2, then:

x³ - 2x² - x² + 2x - 12x + 24 =(x - 2)(x² - x - 12) =(x - 2)( x² - 4x + 3x - 12) =(x - 2)(x - 4)(x + 3)

Other zeros are x = 4 and x = -3

Q
ZOO
What is the equation in slope-intercept form of the line that passes through the points
(-6, 4) and (6, 10)?

Answers

Answer:

[tex]y = \frac{1}{2} x+7[/tex]

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

Given points: (-6, 4), (6, 10)

(-6, 4) = (x1, y1)

(6, 10) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

[tex]\frac{10-4}{6-(-6)}[/tex]

Simplify:

10 - 4 = 6

6 - (-6) = 6 + 6 = 12

[tex]\frac{6}{12}=\frac{1}{2}[/tex]

The slope is [tex]\frac{1}{2}[/tex].

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (6, 10)) into the equation and solve for b:

[tex]10 = \frac{1}{2}(6)+b[/tex]

10 = 3 + b

7 = b

The y-intercept is 7.

Now that we know the slope and the y-intercept, we can write the equation:

[tex]y = \frac{1}{2} x+7[/tex]

what is the correct answer?​

Answers

Answer:

Step-by-step explanation:

124 I think

What is the distance between the points (8,-4) and (-5, -4)

Answers

Answer: 13

Step-by-step explanation:

Read the information in the box below. Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 312times more than the rainfall during September of the same year. How much rain fell during the month of September?

Answers

Answer: 4 inches

Step-by-step explanation:

From the question, we are informed that Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was 3 1/2times more than the rainfall during September of the same year.

The amount of rain that fell during the month of September can be calculated as:

= 14 inches ÷ 3 1/2

= 14 ÷ 7/2

= 14 × 2/7

= 28/7

= 4 inches

The rain that fell during the month of September was 4 inches.

In a population of 10,000 geese the growth rate is 4% per year. What is the total increase in population over 4 years? Round your answer to the nearest whole number.
And can you explain why please :D

Answers

Answer:

Step-by-step explanation:

10000*4%= 400 Geese year1

10400*4%=416 Geese  year 2

10816*4%= 432.64 Geese year 3

11,248.64*4%= 449.95 Geese. year 4

11248.64+449.95= 11698.59

11698.59-10000=1698.59

Increased by 1699 Geese.

Can somebody please help me with this math question

Answers

Answer:

x=4 degrees

Step-by-step explanation:

its an equilateral triangle so all sides are equal, if one angle is 10x+20,then the rest are each 10x+20.This is a triangle and it adds up to 180 degrees. So in total, (10x+20)×3=30x+60.So you do this, 30x +60=180 degrees, you take the sixty to the other side and subtract it from 180 ,you'll get 120 degrees, then divide 120by 30x

Find the reciprocal.
b

Answers

Answer:

1/b

Step-by-step explanation:

b=b/1. 1/b would be a reciprical because it switches the numberator and denominator.

(i) 25x4 – x2 - 6x -9​

Answers

Answer:8x+91

Step-by-step explanation:8x + 91

Santino bought a 3 3/7 Lb bag of chocolate chips. He used 2/3 of the bag while baking. How many pounds did he use while baking answer asap
Since I asked before and no one answered i’m posting it again :)

Answers

Answer:

40

Step-by-step explanation:

Making sure

Explain how solving -7y > 161 is different from solving 7y > -161.

Answers

For the first one you would have to divide -7 to both sides. And for the second one you would have to divide 7. That will isolate the variable and give you the answer for y.

Suppose that in an alternate universe, the gambler's fallacy is true: the more a gambler loses, the more likely she is to win the next game. To be precise, if the gambler loses a game, she will win the next game with probability 3/4. If the gambler wins the game, she will win the next game with probability 1/2.

Answers

Answer and explanation:

The gambler's fallacy is the fallacy of belief that if an event such as a loss occurs more frequently in the past, it is less likely to happen in the future. We assume here that this belief is true, therefore

If she loses, her probability of winning increases =3/4

If she wins, her probability to win is normal =1/2

Given that probability of winning is 1/2

Probability of losing is 1-1/2=1/2

Probability that she wins the tournament is probability that she wins the first two games and loses the last or wins the first game, loses the second and wins the last or loses the first game and wins the last two games or probability that she wins all three games

=1/2*1/2*1/2+1/2*1/2*3/4+1/2*3/4*1/2+1/2*1/2*1/2

=25/48

Probability of winning the tournament if she loses the first game

=1/2*3/4*1/2= 3/16

Note: whenever there is "or" in probability, you add

Are the lines y = –x – 4 and 5x -5y = 20 perpendicular? Explain.

Answers

Answer:

yes

Step-by-step explanation:

If 2 lines are perpendicular then the product of their slopes = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - x - 4 ← is in slope- intercept form

with slope m = - 1

5x - 5y = 20 ( subtract 5x from both sides )

- 5y = - 5x + 20 ( divide all terms by - 5 )

y = x - 4 ← in slope- intercept form

with slope m = 1

Thus product of their slopes is - 1 × 1 = - 1

Therefore the lines are perpendicular

how many times does 3/4 go into 12

Answers

In other words 12 ÷ 3/4.

12 ÷ 3/4

12/1 • 4/3

48/3

Answer: 16

In the diagram shown below, parallel lines m and n are crossed by transversals r and s. Which of the following is the sum of angles 1 and 2 pictured?

Answers

Answer:

3. 151°

Step-by-step explanation:

Since m and n are parallel, therefore:

m<1 + 75° = 180° (consecutive exterior angles are supplementary)

Subtract 75 from each side

m<1 = 180 - 75

m<1 = 105°

m<2 = 46° (corresponding angles are congruent)

Sum of <1 and <2 = 105° + 46° = 151°

What is the equation of a line with a slope of 6 and a y-intercept of -8

Answers

Answer:

COULD BE Y=6x-8

Step-by-step explanation:

Answer:

y=6x-8

Step-by-step explanation:

I'm using the y=mx+b formula. m always represents the slope, and b the y-intercept. So all I did was plug the numbers in. (This can help with determining the slope and y-intercept as well, btw)

In a flower garden there are 3 tuilps for every 7 daisies if there are 21 tulips his many daisies are there​

Answers

Answer:49

Step-by-step explanation:

3:7 tulips to daisies

so if there are 3 tulips what * what = 21? 7

so 7 * 7 =49

there are 49 daises

Make a ratio 3:7 and 21:x
7/3 = daisies for tulips
3.5 daisies for every tulip
21 times 3.5 = 73.5 daisies

Simplify simplify √18

Answers

Answer:

Step-by-step explanation:

I can help

Step 1

√18  Simplify

3√2

Step 2

3√2  Check

Answer

3√2

Hope this helped

A seagull is 19 feet above sea level. A fish swimming at the opposite distance of the seagull. What integer represents the fish?

Answers

Answer:

The integer representing the fish's depth is -19.

Step-by-step explanation:

It would be -19 , hope this helps

Hahahahaha help me thank you

Answers

Answer:

Step-by-step explanation:

It is A and C

orge had $235.00 in his checking account. He withdrew $20.00 each day on Monday, Tuesday, and Wednesday. George got paid on Friday and deposited $130.00 into his checking account. Then on Saturday, he withdrew two checks- one for $167.00 and one for $88.00. What was his checking account balance after writing the checks?

Answers

Answer:

Orge has $50 left in his checking account.

Step-by-step explanation:

help please!! i will mark you brainliest

Answers

Answer:

the equation is (y-3)^2 = 4(x+3)

Write the equation of an ellipse
with the given characteristics:
Vertex at (3,-1)
Vertex at (3,-11)
Focus at (3,-9)

Answers

Answer:

ahhha lol

Step-by-step explanation:

5-7 <-3 : what is the simplified form of the inequality below ?

Answers

Answer:

5<4

Step-by-step explanation:

This inequality is not correct though.

5-7+7<-3+7

5<4

Is (10,2),(-3,4),(-10,6),(-3,6) a function

Answers

No, because (-3,4) and (-3,6) are on the same x value and this breaks the rule that every input can only have one output.

Christine’s pet bunny ate 0.513 pounds of carrots on Friday. What is this number in word form?
five hundred thirteen hundredths
five thirteen thousandths
five hundred thirteen thousandths
five hundred thirteen tenths

Answers

Answer: five hundred and thirteen thousandths

Step-by-step explanation:

1. Is the ones place .0 is the tenths .00 is the hundreths .000 is thousandths look at the decimal and however many numbers are in front or behind.

Answer:

513

Step-by-step explanation:

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