Given b (x) = StartAbsoluteValue x + 4 EndAbsoluteValue, what is b (negative 10)?
Negative 10
Negative 6
6

Answers

Answer 1

The value of the expression b(x) = x + 4 is -6.

What is an expression?

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.

In this case, b(x) = x + 4.

When x = -10, the value of b will be:

b(x) = x + 4.

b(-10) = - 10 + 4

b= -6

The value is -6.

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Related Questions

solve for s 1.1=s+2.3/3

Answers

Answer:

s=1

Step-by-step explanation:

Find the value of s on one side of the equation to isolate it.

1.1=s+2.3/3

First, switch sides.

\(\sf{\dfrac{s+2.3}{3}=1.1}\)

Multiply by 3 from both sides.

\(\sf{\dfrac{3\left(s+2.3\right)}{3}=1.1* \:3}\)

Solve.

1.1*3=3.3

s+2.3=3.3

Then, subtract by 2.3 from both sides.

s+2.3-2.3=3.3-2.3

Solve.

Subtract.

3.3-2.3=1.0=1

s=1

Therefore, the final answer is s=1.

I hope this helps, let me know if you have any questions.

Roll two dice. What is the probability of getting a five or higher on the first roll and getting a total of 7 on the two dice.

Answers

The probability of getting a five or higher on the first roll and getting a total of 7 on the two dice is 1/18.



Step 1: Calculate the probability of getting a five or higher on the first roll.
There are two favorable outcomes (rolling a 5 or a 6), and there are six possible outcomes (rolling 1, 2, 3, 4, 5, or 6) on the first dice. So, the probability of getting a five or higher is:

P(5 or higher) = Favorable Outcomes / Total Outcomes = 2/6 = 1/3

Step 2: Calculate the probability of getting a total of 7 on the two dice.
There are six possible outcomes on each dice, making 6 x 6 = 36 possible outcomes in total. There are six favorable outcomes that result in a total of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1). So, the probability of getting a total of 7 is:

P(total of 7) = Favorable Outcomes / Total Outcomes = 6/36 = 1/6

Step 3: Calculate the probability of both events occurring.
Since the two events are independent, you can multiply their probabilities to find the probability of both events occurring:

P(5 or higher on first roll and total of 7) = P(5 or higher) × P(total of 7) = (1/3) × (1/6) = 1/18

So, the probability of getting a five or higher on the first roll and getting a total of 7 on the two dice is 1/18.

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Find the slope of the tangent line to the given polar curve at the point specified by the value of \( \theta \). \[ r=\cos (\theta / 3), \quad \theta=\pi \]

Answers

The derivative of \(r\) with respect to \(\theta\) can be found using the chain rule. Let's proceed with the differentiation:

\frac{dr}{d\theta} = \frac{d}{d\theta}\left(\cos\left(\frac{\theta}{3}\right)\right)

To differentiate \(\cos\left(\frac{\theta}{3}\right)\), we treat \(\frac{\theta}{3}\) as the inner function and differentiate it using the chain rule. The derivative of \(\cos(u)\) with respect to \(u\) is \(-\sin(u)\), and the derivative of \(\frac{\theta}{3}\) with respect to \(\theta\) is \(\frac{1}{3}\). Applying the chain rule, we have:

\frac{dr}{d\theta} = -\sin\left(\frac{\theta}{3}\right) \cdot \frac{1}{3}

Now, let's evaluate this derivative at \(\theta = \pi\):

\frac{dr}{d\theta} \bigg|_{\theta=\pi} = -\sin\left(\frac{\pi}{3}\right) \cdot \frac{1}{3}

The value of \(\sin\left(\frac{\pi}{3}\right)\) is \(\frac{\sqrt{3}}{2}\), so substituting this value, we have:

\frac{dr}{d\theta} \bigg|_{\theta=\pi} = -\frac{\sqrt{3}}{2} \cdot \frac{1}{3} = -\frac{\sqrt{3}}{6}

Therefore, the slope of the tangent line to the polar curve \(r = \cos(\theta / 3)\) at the point specified by \(\theta = \pi\) is \(-\frac{\sqrt{3}}{6}.

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what is the weight of a square if a triangle weighs 4 grams? explain your reasoning

Answers

Answer:5

Step-by-step explanation:

yh thereu go

Answer:

8 grams

Step-by-step explanation:

u add 2 triangles

magan wants to ride his bicycle 30.4 miles this week. he has already ridden 4 miles if he rides for 4 more days what is the average number of miles he would have to ride each day to meet his goal?

Answers

The average number of miles he will ride each day to meet his goal is 6.6 miles

How to find the average number of miles she will ride?

He wants to ride his bicycle 30.4 miles this week.

He has already ridden 4 miles.

He rides 4 more days.

Therefore, the average number of miles he would have to ride each day to meet his goal can be calculated as follows:

let

x = number of miles driven

Hence, the equation can be represented as follows;

4x + 4 = 30.4

Therefore,

4x + 4 = 30.4

4x + 4 - 4 = 30.4 - 4

4x = 26.4

x = 26.4 / 4

x = 6.6

Therefore, the average number of miles he will ride each day to meet his goal is 6.6 miles

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Select the correct answer.
What is the simplified form of this expression?

Select the correct answer.What is the simplified form of this expression?

Answers

Answer: D - 6x^2 + 5x - 4/15

Step-by-step explanation:

To simplify the expression (8x^2 - 3x + 1/3) - (2x^2 - 8x + 3/5), we can combine like terms within the parentheses

8x^2 - 3x + 1/3 - 2x^2 + 8x - 3/5

Next, we can combine the like terms

(8x^2 - 2x^2) + (-3x + 8x) + (1/3 - 3/5)

Simplifying

6x^2 + 5x + (5/15 - 9/15)

The fractions can be simplified further

6x^2 + 5x + (-4/15)

Thus, the simplified expression is 6x^2 + 5x - 4/15

Se empaquetaron 573 carros de juguete en cajas. Cada uno tiene capacidad para 8 coches de juguete.
A) ¿Cuántas cajas se llenaron?
B) ¿Cuántos carros de juguete sobraron?

Answers

Answer

creon queens B. lo siento is me equivoco

What's the quotient of this expression?

What's the quotient of this expression?

Answers

Answer:

Step-by-step explanation:


In the pic below:-


What's the quotient of this expression?

The quotient is (x + y) (3x -y) for the expression\(\frac{3x^3-7x^2y-7xy^2+3y^3}{x-3y}\)    .

What is an algebraic expression?

An algebraic expression is consists of variables, numbers with various mathematical operations,

The given expression is

\(\frac{3x^3-7x^2y-7xy^2+3y^3}{x-3y}\)      

The factor of equation 3x³-7x2y-7xy²+3y³ are,

(x + y) (3x - y) (x - 3y)

The given expression can be written as,

\(\frac{(x + y) (3x - y) (x -3y)}{x-3y}\)

=(x + y) (3x -y)

The required quotient for the given expression \(\frac{3x^3-7x^2y-7xy^2+3y^3}{x-3y}\) is (x + y) (3x -y).

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The manufacturer of an MP3 player wanted to know whether a 10% reduction in price is enough to increase the sales of its product. To investigate, the owner randomly selected eight outlets and sold the MP3 player at the reduced price. At seven randomly selected outlets, the MP3 player was sold at the regular price. Reported below is the number of units sold last month at the regular and reduced prices at the randomly selected outlets. Regular price 138 124 89 112 116 123 98 Reduced price 124 134 154 135 118 126 133 132 i. Compute the pooled estimate of the variance. (Round your answer to 3 decimal places.)
ii. Compute the test statistic. (Round your answer to 2 decimal places.)
iii. State your decision about the null hypothesis.

Answers

The pooled estimate of the variance is 187.650 and the test statistic is -2.32

Pooled estimate of the variance

The dataset is given as:

Regular price 138 124 89 112 116 123 98

Reduced price 124 134 154 135 118 126 133 132

Let the regular price be dataset 1 and the reduced price be dataset 2.

So, we have:

#1: 138 124 89 112 116 123 98

#2: 124 134 154 135 118 126 133 132

Calculate the sample means and the sample standard deviations using a graphing calculator.

#1

\(\sigma_1 = 16.56\)

\(\bar x_1 = 114.29\)

\(\sigma_1^2 = 274.24\)

#2

\(\sigma_2 = 10.65\)

\(\bar x_2 = 132\)

\(\sigma_2^2 = 113.43\)

The pooled estimate of the variance is:

\(\sigma_p^2 = \frac{\sigma_1^2(n_1 - 1) + \sigma_2^2(n_2 - 1)}{(n_1 - 1) + (n_2 - 1)}\)

This gives

\(\sigma_p^2 = \frac{274.24 * (7 - 1) + 113.43 * (8 - 1)}{(7- 1) + (8- 1)}\)

Evaluate the factors

\(\sigma_p^2 = \frac{2439.45}{13}\)

Divide

\(\sigma_p^2 = 187.65\)

Hence, the pooled estimate of the variance is 187.650

The test statistic

This is calculated using:

\(t = \frac{\bar x_1 - \bar x_2}{\sqrt{\sigma_p^2} * \sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}\)

This gives

\(t = \frac{114.29 - 132}{\sqrt{187.650} * \sqrt{\frac{1}{7} + \frac{1}{6}}}\)

This gives

\(t = \frac{-17.71}{\sqrt{187.650} * \sqrt{\frac{13}{42}}}\)

Evaluate the product

\(t = \frac{-17.71}{\sqrt{58.08214}}\)

Evaluate the exponent

\(t = \frac{-17.71}{7.62}\)

Divide

t = -2.32

Hence, the test statistic is -2.32

The decision about the null hypothesis

The critical value at 0.025 significance level is -1.96

-2.32 is less than -1.96

This means that we accept the null hypothesis

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find t−1 for the given isomorphism t. t : p1 → r2 with t(ax b) = 8b a − b

Answers

t^-1 is the inverse of t.

To find the inverse of the given isomorphism t, we need to find a function t^-1 : r2 → p1 such that t(t^-1(x,y)) = (x,y) for all (x,y) in r2.

Let (x,y) be an arbitrary element of r2. We want to find (a,b) in p1 such that t(a,b) = (x,y). Using the definition of t, we have:

t(a,b) = (8b, a-b)

Setting this equal to (x,y), we get the system of equations:

8b = x
a - b = y

Solving for a and b in terms of x and y, we get:

a = y + x/8
b = x/8

Thus, we have found a function t^-1 : r2 → p1 given by:

t^-1(x,y) = (y + x/8, x/8)

We can check that this function is indeed the inverse of t:

t(t^-1(x,y)) = t(y + x/8, x/8) = (8(x/8), y + x/8 - x/8) = (x,y)

Therefore, t^-1 is the inverse of t.

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FREE BRAINLIST FOR CORRECT ANSWERS

FREE BRAINLIST FOR CORRECT ANSWERS

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Can I get brainly?

Consider these two statements:
p: A square is a quadrilateral
q: A hexagon is a parallelogram

Select all of the true statements:

A) ~p
B) ~q
C) p ^ q
D) p ⌄ q
E) ~p ⌄ q
F) p ^ ~q

Thank you if you help​

Answers

The true logic statements are listed as follows:

B) ~q.

D) p ⌄ q.

F) p ^ ~q.

What are the true statements?

A square is a quadrilateral, as it has four sides, hence the statement p is true.

Then, the negative of statement p is false, and option a is false.

The or operation with statement p is always going to be true, as the or operation is true when at least one of the operators is true, hence option D is true.

An hexagon is not a parallelogram, hence statement q is false. Thus, option B is true, as the negative of a false statement is positive.

The and operation is true when all the operators are true, hence option F is true, as statements p and ~q are both true. Statement C is false as only one of the statements is true.

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A dairy farmer milks his two cows every day. He determined the chance that he gets anywhere between 12 and 14 gallons of milk in one day is around 32%. Identify the method of probability the farmer used to reach this conclusion. Select the correct answer below: theoretical relative frequency

Answers

The dairy farmer used the relative frequency method of probability to reach his conclusion.

Relative frequency is a method of calculating probability that is based on the observation of how often an event occurs in a sample. The farmer likely observed how often he gets between 12 and 14 gallons of milk in a day and used that data to calculate the probability of it happening.

In contrast, theoretical probability is based on the assumption that all possible outcomes are equally likely. It is calculated by dividing the number of desired outcomes by the total number of possible outcomes.

Therefore, the correct answer is relative frequency.

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PLEASE HELP! 20 POINTS!! PIC ATTACHED :)

PLEASE HELP! 20 POINTS!! PIC ATTACHED :)

Answers

From the figure, we immediately have

cos(θ) = 8/17

sin(θ) = 15/17

By definition of tangent,

tan(2θ) = sin(2θ)/cos(2θ)

Recall the double angle identities:

sin(2θ) = 2 sin(θ) cos(θ)

cos(2θ) = cos²(θ) - sin²(θ) = 2 cos²(θ) - 1

Then

tan(2θ) = (2 sin(θ) cos(θ)) / (2 cos²(θ) - 1)

tan(2θ) = (2 × 15/17 × 8/17) / (2 × (8/17)² - 1)

tan(2θ) = -240/161

A scatterplot is shown below. What type of relationship is shown in the graph?

A. proportional
B. Linear
C. non-linear
D. constant​

 A scatterplot is shown below. What type of relationship is shown in the graph?A. proportional B. LinearC.

Answers

Answer: Not 100% sure but I believe it’s C. Non-linear

Hope this helps! ^^

Answer:

I think it's c

Step-by-step explanation:

non linear

According to the order of operations, what operation should be performed first in the expression 8 minus 2 times 2 divided by left parenthesis 8 plus 5 right parenthesis? 8-2x2÷(8+5)

A. Multiplication

B. Addition

C. subtraction

Answers

Answer:

addition

Step-by-step explanation:

in this case its addition , but the only reson it is going first is bc it sin the parenthasies

PEMDAS

First step is parentheses so 8+5 is first.

PLEASEEEE ASAPPPPPP
Find all values of x that make the triangles congruent. Explain your reasoning.

PLEASEEEE ASAPPPPPP Find all values of x that make the triangles congruent. Explain your reasoning.

Answers

Answer:

The values of x that make the triangles congruent.

x = 6 and x = 3

Step-by-step explanation:

Given

AC = 5x-2DC = 3x+10AB = 5xDB = 4x+3

Given that the triangles are congruent.

According to the SAS (Side-Side-Side)

AC = DC

AB = DB

so

AC = DC

substituting AC = 5x-2 and DC = 3x+10

5x-2 = 3x+10

5x-3x = 10+2

2x = 12

divide both sides by 2

2x/2 = 12/2

x = 6

and

AB = DB

substituting AB = 5x and DB = 4x+3

5x = 4x+3

5x-4x = 3

x = 3

Therefore, the values of x that make the triangles congruent.

x = 6 and x = 3

In a recent election, 63% of all registered voters participated in voting. In a survey of 275 retired voters, 162 participated in voting. Which is higher, the population proportion who participated or the sample proportion from this survey?

Answers

The population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

To determine whether the population proportion who participated in voting or the sample proportion from the survey is higher, we need to compare the percentages.

The population proportion who participated in voting is given as 63% of all registered voters.

This means that out of every 100 registered voters, 63 participated in voting.

In the survey of retired voters, 162 out of 275 participants voted. To calculate the sample proportion, we divide the number of retired voters who participated (162) by the total number of retired voters in the sample (275) and multiply by 100 to get a percentage.

Sample proportion = (162 / 275) \(\times\) 100 ≈ 58.91%, .

Comparing the population proportion (63%) with the sample proportion (58.91%), we can see that the population proportion who participated in voting (63%) is higher than the sample proportion from this survey (58.91%).

Therefore, based on the given data, the population proportion who participated in voting is higher than the sample proportion from this survey.

It's important to note that the sample proportion is an estimate based on the surveyed retired voters and may not perfectly represent the entire population of registered voters.

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1/4 (12-8x) = 2 / 3 (6x)

Answers

Where and what is the question is this sopossed to be solved ‍♂️?

The percent of carbon-14 remaining in a fossil can be found using the exponential expression (1/2)^t/5730 where t represents the age of the fossil in years. Rewrite the percent as an exponential expression with a base of 2

Answers

The percent of carbon remaining after 30642 years if, the half-life of carbon is 5730 years would be 3.1%

Total time is given: 30642 years

Half-Life of carbon-14 : 5730 years

After 1 half-life of the carbon-14 remaining carbon: 1/2

After 2 half-lives the carbon-14 remaining carbon : 1/4

After 3 half-lives the carbon-14 remaining carbon : 1/8

...

...

After n half-lives the carbon-14 remaining carbon : (1/2)^n

Number of half-lives in 30642 years: 30642 / 5730 ≈ 5 approx.

Amount of carbon remaining after 5 half-lives: 1/32

1/32 ≈ 0.031 = 3.1%

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Robert was using a bucket that holds 243.5 ounces (oz) of water when full. The bucket loses 0.3 oz of water per second. After 20 seconds, Robert noticed the leak and plugged the leak. How much water, in ounces, remained in the bucket?

-Note from user: Hello! Could you please help me? I want to learn how to do this in the future so it would be appreciated if u add an explanation to your answer, thanks and please respond before 11:59)

Answers

Answer:

237.5

Step-by-step explanation:

Since the bucket loses 0.3 oz of water per second, and 20 secs passed, you would have to multiply 0.3 and 20 to find out how much water leaked. And 0.3x20=6, so then, we would have to subtract 234.5 and 6 to find out how much water there is left in the bucket. 234.5-6=237.5

So 237.5 is your answer  

Piece of Ice Used K 20 centimeters. 33 centimeters​

Piece of Ice Used K 20 centimeters. 33 centimeters

Answers

The volume of the remaining piece of ice cube is 6911.5 cubic cm

How to determine the volume of the remaining piece

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

Radius, r = 20/2  = 10 cm

Height, h = 33 cm

The volume of the remaining piece is calculated is

V = 2/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 2/3 * 22/7 * 10² * 33

Evaluate

V = 6911.5

Hence, the volume of the remaining piece is 6911.5 cubic cm

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Please help! It’s to early for my brain to function :/

Please help! Its to early for my brain to function :/

Answers

Answer:

The answer is B

Step-by-step explanation:

Distance formula- √(x2-x1)² + (y2-y1)²

Step 1: Plug in your values.

√(4a-a)² + (0-(-2b)²

Step 2: Substitute

√(3a)² + (2b)²

It cannot be simplified anymore, so your answer is:

B (√(3a)² + (2b)²)

(Please give brainliest if it helps!)

3. A driver's path when diving off of a platform is given by h(t)=-5t^2+10t+20, where h(t) is the distance above water, in feet, and t is the time from the beginning of the dive, in seconds.
3a. How high is the diving platform?
3b. After how many seconds is the diver 25 feet above water?
3c. When does the diver enter the water?

Answers

Answer:

3a.=20ft  3b.=1 second 3c.=3.25seconds

Step-by-step explanation:

Hello, Courtney!

h(t)=-5t^2+10t+20

20 would be the height so 3.a would be 20ft

3b.  25=-5t^2+10t+20

-5t^2+10t-5 then divide by greatest factor the answer would 1 second

3c.    0=-5t^2+10t+20 divide by greatest factor and would get 3.25 and -1.25 but can't have negative so the answer is 3.25.

I hope this helps

best you know who!

The tables represent hat sizes measured in inches for two softball teams.



Pelicans

20 20 22

21 22 23

22.5 24 21.5

22 23.5 22

23.5 22 24.5

Seahawks

21 21 21

23.5 23.5 23.5

23.5 23.5 23.5

22.5 22.5 22.5

23 23 23


please help quickly

Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.

Pelicans; they have a larger mean value of about 22 inches

Seahawks; they have a larger mean value of about 23 inches

Pelicans; they have a larger median value of 22 inches

Seahawks; they have a larger median value of 23 inches

The tables represent hat sizes measured in inches for two softball teams.



Pelicans

20 20 22

21 22 23

22.5 24 21.5

22 23.5 22

23.5 22 24.5

Seahawks

21 21 21

23.5 23.5 23.5

23.5 23.5 23.5

22.5 22.5 22.5

23 23 23



Which team has the largest overall size hat for their players? Determine the best measure of center to compare and explain your answer.

Pelicans; they have a larger mean value of about 22 inches

Seahawks; they have a larger mean value of about 23 inches

Pelicans; they have a larger median value of 22 inches

Seahawks; they have a larger median value of 23 inches

The tables represent hat sizes measured in inches for two softball teams.Pelicans20 20 2221 22 2322.5

Answers

The correct answer is: Seahawks; they have a larger median value of 23 inches.

To determine which team has the largest overall size hat for their players, we need to compare the central tendency measures of the two sets of data.

The best measure of center to use in this case is the median, which represents the middle value of the data when arranged in ascending or descending order.
Looking at the two tables, we can see that the median value for the Pelicans is 22 inches, while the median value for the Seahawks is 23 inches.

Therefore, the Seahawks have a larger median hat size and can be considered to have the largest overall size hat for their players.
The median is the best measure of center to compare in this case, as it represents the middle value and is less affected by outliers or extreme values.

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How many solutions does y 2x 5 and 8x 4y =- 20 have?

Answers

A system of linear equations: y + 2x = -5 and 8x + 4y = -20  has infinitely many solutions.

The 3 possible solutions of a linear system are:

- Unique or one solution

- Infinite solutions

- No solution

If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.

The given linear system is:

y + 2x = -5           ....... (equation 1)

8x + 4y = -20     ..........(equation 2)

Rearrange equation 1 to:

2x + y = -5

Multiply both sides by 4:

8x + y4 = -20

Hence, equation 1 is equivalent to equation 2. Hence, the given linear system has infinitely many solutions.

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what is the total of their monthly expenses???
FIRST ANSWER GETS BRAINLIEST

what is the total of their monthly expenses???FIRST ANSWER GETS BRAINLIEST

Answers

Answer:

monthly would be 4.990

Step-by-step explanation:

Your parents purchased a used car for your 17th birthday, for $12,000. The car
depreciates in value by 14% each year. How much will your car be worth in 6 years?

Answers

Answer:

1,920 because when you figure out the percent of 1200 then you multiply it by 6 then subtract by 12000

what is the area pls

what is the area pls

Answers

Answer:

125 i think

Step-by-step explanation:

Multiply 4x4=8 from the square then multiply 13 x 9= 117 then add 8+117 you will get 125

A system of two linear equations in two variables has no solution. What statement is accurate about these two linear equations?

Responses

The two linear equations never intersect.
The two linear equations never intersect.

The two linear equations graph the same line.
The two linear equations graph the same line.

The two linear equations do not cross the x-axis.
The two linear equations do not cross the x-axis.

The two linear equations do not cross the y-axis.
The two linear equations do not cross the y-axis.

The two linear equations intersect at exactly one point.

Answers

The right response is that the two linear equation never intersect , because the graph of these two linear equation will be two parallel lines.

How many types of solution are there for two linear equations ?

There are 2 types of solution :
Consistent :

A consistent system is said to be an independent system if it has a single solution.

A consistent system is said to be a dependent system if the equations have the same slope and the same y-intercepts. In other words, the lines coincide, so the equations represent the same line. Each point on the line represents a pair of coordinates that fits the system. So there are an infinite number of solutions.

Non-consistent :

Another type of system of linear equations is the inconsistent system, in which the equations represent two parallel lines. The lines have the same slope and different y-intercepts. There are no common points for both lines; therefore, there is no solution to the system and if we draw the graph of these equations then the graphs of both equation becomes parallel to each other.

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The two linear equations never intersect.

When a system of two linear equations in two variables has no solution, it means that there is no set of values for the variables that satisfies both equations simultaneously. Geometrically, this corresponds to the two lines represented by the equations being parallel. Since parallel lines never intersect, the statement "The two linear equations never intersect" accurately describes the situation.

If the two linear equations were graphed on a coordinate plane, they would appear as two distinct lines that run parallel to each other without ever crossing or intersecting. This indicates that there is no common point of intersection between the lines, and therefore no solution exists for the system of equations.

It is important to note that this scenario is different from the case where the two linear equations represent the same line. In that case, the equations would be equivalent, and every point on the line would satisfy both equations. However, when there is no solution, it means that the lines do not share any common points and never intersect.

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