The question is in the picture I would appreciate if you could explain how to get the answer thank you.

The Question Is In The Picture I Would Appreciate If You Could Explain How To Get The Answer Thank You.

Answers

Answer 1

(0.818  , 1.546)  is the point that is part of solution.

point (0,2) and (2,0) are not the part of solutions.

3y - 2x ≤ 3

y + 3x  ≤ 4

these are the system of inequalities.

What are Inequalities?

Inequality is a relationship between two expressions or values that is not equal to each other. Therefore, inequality emerges from a lack of balance.

Given in this question,

There are two lines L1 and L2.

From the graph we can find the two points that lies on the line L1 be

(0,1) and (3,3).

similarly From the graph we can find the two points that lies on the line L2 be

(0,4) and (2,-2).

From the two points (x1 , y1) and (x2,y2) we can write the equation of the Line from the following formula :

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex].   This is the equation of line for given two points.

Equation of line L1 :

[tex]y-1=\frac{3-1}{3-0} (x-0)[/tex]

3y - 3 = 2x ----------(ii)

Equation of line L1 : 3y - 2x = 3.

Equation of line L2 :

[tex]y-4=\frac{-2-4}{2-0} (x-0)[/tex]

y   = -3x + 4 ----------(ii)

Equation of line L2 : y + 3x = 4.

The point that is the part of the solution :

putting the value of y from equation (ii) in equation (i).

3(-3x+4) -3 = 2x

-9x-2x = -12+3

-11x = -9

  x = 0.818

y = -3(0.818) +4 = +1.546

so Point of intersection is (0.818  , 1.546)

This is the point that is part of solution.

The point that is not below both the lines are not part of solution.

the point that are not part of solution are:

3y - 2x ≥ 3  ->  (0,2)

y + 3x  ≥ 4   ->  (2,0)

point (0,2) and (2,0) are not the part of solutions.

Inequalities are for shaded portion :

3y - 2x ≤ 3

y + 3x  ≤ 4

these are the system of inequalities.

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Related Questions

when 7/11 is written as a decimal what is the sum of the fisrt twenty digits after the decimal point
PLEASE i relaly need help I just got brainly

I give twenty points

Answers

The first twenty digits after the decimal point of 7/11 when written as a decimal are: 6363636363636. The sum of these digits is 108.

1. Which word doe not have a imilar meaning to - condemn
critique
diparage
criticize
cenure

Answers

Among the given four options, the word that doesnot have similar meaning to condemn is "critique".

What is the meaning of word condemn?

The word "condemn" means to express strong disapproval or criticism of something or someone, often in a formal or official manner. It can also mean to pronounce a judgment of guilt, especially in a court of law. It implies a severe judgment or punishment. Condemn also implies the declaration of something being morally wrong or unacceptable. It is a strong word that carries a sense of condemnation or blame.

Make two sentences using the word condemn.

The sentences are given below:

The judge condemned the defendant for his crimes, sentencing him to life in prison.The community condemned the company for their unethical business practices and called for a boycott.

The word that does not have a similar meaning to "condemn" is "critique".

"Condemn" means to express strong disapproval of something or someone, often in a formal or official manner.

"Criticize" means to express disapproval or to find fault with something or someone

"Censure" means to express strong disapproval or criticism of something or someone, typically in a formal or official manner.

"Disparage" means to speak or write about in a negative way; to belittle or criticize.

"Critique" means to evaluate (a work of art, literary work, etc.) in terms of its strengths and weaknesses; to give an analysis or evaluation of something."Critique" is different because it is an analysis or evaluation of something, whereas the other words are about expressing disapproval or criticism.

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A business has $11,080 to spend on new laptops and tablet computers for its salespeople. The laptops cost $515 each. The tablets cost $285 each. The business wants each salesperson to have either a laptop or a tablet. There are 30 salespeople. Create a system of equations that models how many of each type of computer the business should buy. 515x 285y

Answers

Answer:

515 x + 285 y = 11080

x + y = 30

Step-by-step explanation:

Using data from 1944 through 2000, the histogram shows the number of years that had a particular number of hurricanes reaching the East Coast of the U.S. For example, in 14 of those years there was exactly one hurricane each year that reached the East Coast of the U.S. What is the median number of hurricanes per year reaching the East Coast from 1944 through 2000

Answers

The median number of hurricanes per year reaching the East Coast from 1944 through 2000 is two.

What is median number?

Median number is the middle value of a set of numbers. It is the number found at the midpoint of a sorted data set, when all the numbers are arranged in numerical order from lowest to highest. The median number is used to determine the average of a set of numbers, and is often used to represent the central tendency of the data. To calculate the median, first arrange the numbers from lowest to highest, then locate the middle value. If there is an even number of values, the median is the average of the two middle numbers.

This is calculated by taking the middle value of the data set. In this case, there were 18 years with one hurricane, 16 years with two hurricanes, 13 years with three hurricanes, and six years with four hurricanes. Thus, the median number of hurricanes in this data set is two.

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Make the mathematical expressions. Simplify them and find the correct answers. a) The total cost of 4 pens at Rs 20 each, 5 pencils at Rs 5 each and 2 boxes at Rs 60 each. ​

Answers

Answer:

Step-by-step explanation:

Cost of 1 pen = 20 rupees

Cost of 4 pens = 20 x 4 = 80 rupees

Cost of 1 pencil = 5 rupees

Cost of 5 pencils = 5 x 5 = 25 rupees

Cost of 1 box = 60 rupees

Cost of 2 boxes = 60 x 2 = 120 rupees

therefore, total cost = 80 + 25 + 120  = 225 rupees

2) You roll one die. What is the probability that you roll a 6?
A) 1/2
B) 1/4
C) 1/6
D) 2/6

Answers

there are 6 sides to a dice
there’s only one 6 on the dice
therefore, the answer is 1/6

Answer: c 1/6

Step-by-step explanation

Becouse it has six numbers so that means that 1 is a factor so taking in every other number the answer should be 1/6

need help with these 4

Answers

Thus, It is possible to visually assess whether a limit exists as x approaches a by looking at the function f (x) and g (x) graphs, which are 1 and 5 when x is very close to x=a.

How would you define limit?

In mathematics, a limit is the value that a function, a sequence, or an index approaches as an input or an index gets closer to a particular value. Limits are essential to the study of calculus and mathematical analysis since they are used to define continuity, derivatives, and integrals.

Here,

From the function f (x) and g graphs shown here ( x)

1) lim f (x) plus lim g ( x )

= -1 + 2 = 1

2) f (-1) + lim g ( x)

= 3 + 2

= 5

Therefore , the solution of the given problem of limit comes out be 5.

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Can u please help.......

Answers

Using the centroid P on the triangle, the value of QN is 25.5 and PN is 8.5

What is Centroid of a Triangle

The centroid of a triangle is a point located at the intersection of the three medians (the lines that connect the vertices to the midpoints of the opposite sides). The centroid divides each median in two segments that have the same length. It is the center of gravity of the triangle and is the point at which the triangle's three medians intersect.

The centroid theorem states that the centroid of the triangle is at 2/3 of the distance from the vertex to the mid-point of the sides.

In this triangle, the centroid is at P and the QP is 17.

a) QN

The distance between QP is two-thirds the length of QN

The length of QP = 17

QP = 2/3 QN

17 = 2/3 QN

QN = (3 * 17) / 2

QN = 25.5

b) PN

The distance between PN is calculated as;

PN = QN - QP

PN = 25.5 - 17

PN = 8.5

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you are running a marathon along a straight path. you are approaching mile marker 12 at a speed of 300 feet per minute. you are currently 1500 feet from mile marker 12. write an absolute value equation that models your distance in feet from mile marker 12 after x minutes​

Answers

Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

What exactly is a linear equation?

A linear equation is represented by the algebraic expression y=mx+b. B is the y-intercept, and m is the slope. A "simple formula with 2 factors," where both y and x are variables, is what the previous sentence was referred to as. Calculations with two variables are referred to as "bivariate linear equations." Here are a few illustrations: 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3 are the results. A mathematical equation is considered to be linear if its solution has the format y=mx+b, where m stands for the slope and b for the y-intercept.

Here,

Given:

300 feet per minute

where x is the number of minutes,

The Y is 1200.

Thus,

Taking account of all the above information

We get,

This will give us an equation of 1200 = 400x

Therefore , the solution of the given problem of linear equation comes out to be  1200 = 400x.

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Please provide an explanation

Answers

If [tex]$\mathrm{x} \neq 3$[/tex], the expression [tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}$[/tex] is equivalent to [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].

What is meant by expression?

A mathematical expression is a phrase that includes at least two numbers or variables, at least one arithmetic operation, and the expression itself. Any one of the following mathematical operations can be used.

A mathematical sentence with variables, numbers, or both is known as an expression. Operation can also be a part of an expression, although an equal sign is never present in an operation. A mathematical expression that demonstrates the equality of two expressions is called an equation. There is a sign of equality in equations.

An expression in mathematics is made up of a mixture of variables, numbers, and functions (such as addition, subtraction, multiplication or division etc.) In some ways, phrases and expressions are comparable.

Let the equation be

[tex]$\frac{2 x^3+7 x^2-3 x-25}{x+3}[/tex]

simplifying the equation, we get

[tex]$& \text { Divide } \frac{2 x^3+7 x^2-3 x-25}{x+3}=2 x^2+\frac{x^2-3 x-25}{x+3} \\[/tex]

[tex]$& =2 x^2+\frac{x^2-3 x-25}{x+3}[/tex]

[tex]$& \text { Divide } \frac{x^2-3 x-25}{x+3}=x+\frac{-6 x-25}{x+3} \\[/tex]

[tex]$ =2 x^2+x+\frac{-6 x-25}{x+3}[/tex]

Divide [tex]$\frac{-6 x-25}{x+3}=-6+\frac{-7}{x+3}$[/tex]

[tex]$=2 x^2+x-6+\frac{-7}{x+3}$$[/tex]

Simplifying the equation, we get

[tex]$=2 x^2+x-6-\frac{7}{x+3}$$[/tex]

Therefore, the correct answer is option 1) [tex]$2 x^2+x-6-\frac{7}{x+3}$$[/tex].

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A $73 ceramic vase costs $78.84 after sales tax is figured in. What is the sales tax percentage?

Answers

Answer:

8%

Step-by-step explanation:

78.84 - 73 = 5.84

Tax = $5,84

5.84 / 73 = 0.08

0.08 * 100 = 8%

Answer:

8%

Step-by-step explanation:

1. Set up the equation represented

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

x is the sales tax percentage. hence, we have to solve for x.

[tex]$78.84 = \frac{x}{100}(73) + 73[/tex]

[tex]$78.84 = \frac{73x}{100} + 73[/tex]

[tex]5.84 = \frac{73x}{100}[/tex] . . . . . . . . . . . . . . subtract both sides of the equation by 73

[tex]584 = 73x[/tex] . . . . . . . . . . . . . . multiply both sides by 100

[tex]8 = x[/tex] . . . . . . . . . . . . . . . . . . divide both sides by 73

∴ There was an 8% sales tax on the ceramic vase.

PLEASE MARK BRAINLIEST IF THIS HELPED YOU. THANKS.

The sales tax in one town is 8%.So, the total cost of an item can be written as c=0.08cents .what is the total cost of an that sells for $12 ?its due tmrr asap

Answers

The total cost of an item that sells for $12 is $12.96

How to determine the total cost of an item that sells for $12?

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

Selling price = $12

Sales tax = 8%

The total cost of an item that sells for $12 is then calculated as

Total cost = Selling price * (1 + Sales tax)

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

Total cost = 12 * (1 + 8%)

Evaluate

Total cost = 12.96

Hence, the total cost is $12.96

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A whale descends from the surface of the water at a rate of 22 feet per minute.
What is the position of the whale relative to the surface after diving for 3
minutes?

Answers

Answer:

66

Step-by-step explanation:

22 per minute

?   Per 3 minutes

22 x 3 = 66

Answer: The position of the whale relative to the surface of the water can be determined by multiplying the rate at which it descends (22 feet per minute) by the amount of time it has been descending (3 minutes).

Position = Rate x Time

Position = 22 feet/minute x 3 minutes = 66 feet

So, after diving for 3 minutes, the position of the whale relative to the surface of the water is 66 feet.

It means the whale descended for 66 feet from the surface level of the water.

Please keep in mind that this information is assuming a linear motion, without taking into account any other factors that could affect the whale's descent such as currents or obstacles in the water.

Step-by-step explanation:

Question Show that the binomial is a factor of the polynomial. Then factor the polynomial completely. f(x)=x4−6x3−8x+48; x−6

Answers

Answer:

(x-2)(x²+2x+4)(x-6)

Step-by-step explanation:

6 |  1  -6  0  -8  48

_____6_0_0_-48__

     1   0   0  -8  |  0

As we can see, our remainder is 0, so x-6 is indeed a factor of the polynomial. Also, we can see that the factored polynomial is [tex]x^4-6x^3-8x+48=(x^3-8)(x-6)=(x-2)(x^2+2x+4)(x-6)[/tex]

Determine whether the graph of the given equations are parallel, perpendicular, or neither

Answers

Answer:

7) perpendicular

8) perpendicular

Step-by-step explanation:

If the equations are in the form:

y = mx + b

(they all are in this form in these questions)

the m, the number in front of the x, is the slope.

If the slopes are the "negative reciprocals" (opposite signs and flipped over from each other) of each other, then the lines are perpendicular.

You can also do a quick check by, if the m values are multiplied together you should get -1.

1/3 • - 3 = -1

1 • -1 = -1

1/3 and -3 have opposite signs and are reciprocals (flipped over)

1 and -1 are opposite signs. It isn't very obvious maybe that they are reciprocals, but they are. Like 1/1 flipped over is 1/1.

Is a solution of pair of equations 3x 2y 4 and 2x y 5?

Answers

The solution of this pair of equations is (2, 3).

To solve this pair of equations, we can use the substitution method.

First, we solve the first equation for y:

3x + 2y = 4

2y = 4 - 3x

y = (4 - 3x) / 2

Next, we substitute this expression for y in the second equation:

2x + (4 - 3x) / 2 = 5

2x + 2 - 3x = 10

-x = 8

x = -8

Finally, we substitute this value for x in the expression for y to find the value of y:

y = (4 - 3(-8)) / 2

y = (4 + 24) / 2

y = 28 / 2

y = 14

Therefore, the solution of this pair of equations is (x, y) = (-8, 14).

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26. Pregnancy length The length of human pregnancies from conception to birth
follows a Normal distribution with mean 266 days and standard deviation 16 days.
Choose a pregnant woman at random. Let X = the length of her pregnancy.
(a) Find P(X2 240) and interpret the result.
(b) What is P(X> 240)? Explain.
(c) Find the value of c such that P(X ≥ c) = 0.20. Show your work.

Answers

There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the  the value of c such that P(X ≥ c) = 0.20 is 279.44

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

Given that Mean (μ) = 266

and Standard deviation(σ) = 16

The z-score is the value decreased by the mean divided by the standard deviation:

z = (x−μ)/σ = (240−266)/16

≈−1.63

Determine the corresponding probability using the normal probability table in the appendix:

P (X ≥ 240)

= 1 - P (X < 240)

= 1 - P(Z < -1.63)

= 1 - 0.0516

=0.9484

(a) There is a chance of about 94.84% that the pregnancy last at least 240 days

(b) P (X ≥ 240) = 0.9484

(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.

The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04

thus, the z-value is z=0.84.

x = μ+zσ = 266+0.84*(16 )

=279.44

The  the value of c such that P(X ≥ c) = 0.20 is 279.44

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There is a chance (probability) of about 94.84% that the pregnancy last at least 240 days and P (X ≥ 240) = 0.9484 and the  the value of c such that P(X ≥ c) = 0.20 is 279.44

What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur,

Given that Mean (μ) = 266

and Standard deviation(σ) = 16

The z-score is the value decreased by the mean divided by the standard deviation:

z = (x−μ)/σ = (240−266)/16

≈−1.63

Determine the corresponding probability using the normal probability table in the appendix:

P (X ≥ 240)

= 1 - P (X < 240)

= 1 - P(Z < -1.63)

= 1 - 0.0516

=0.9484

(a) There is a chance of about 94.84% that the pregnancy last at least 240 days

(b) P (X ≥ 240) = 0.9484

(C) Given that 20% is greater than z, then we know that 80% or 0.80 is smaller than z.

The area of 0.7995 is closest to 0.8, and it is located in the row 0.8 and column .04

thus, the z-value is z=0.84.

x = μ+zσ = 266+0.84*(16 )

=279.44

The  the value of c such that P(X ≥ c) = 0.20 is 279.44

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What are 2 examples of composite number?

Answers

Composite numbers are whole numbers that contain more than two elements.. Examples of composite numbers include 36 and 42. These numbers are divisible by more than just 1 and themselves. 36 is divisible by 1, 2, 3, 4, 6, 9, 12, and 18. 42 is divisible by 1, 2, 3, 6, 7, 14, and 21.

Example 1: To find the factors of 36

Step 1: Start by dividing 36 by 2, which gives us 18.

Step 2: Divide 18 by 2, which gives us 9.

Step 3: Divide 9 by 3, which gives us 3.

Step 4: Divide 3 by 3 which gives us 1.

Step 5: The factors of 36 are 1, 2, 3, 4, 6, 9, 12, and 18.

Example 2: To find the factors of 42

Step 1: Start by dividing 42 by 2, which gives us 21.

Step 2: Divide 21 by 3, which gives us 7.

Step 3: Divide 7 by 7 which gives us 1.

Step 4: The factors of 42 are 1, 2, 3, 6, 7, 14, and 21.

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Cornelio creates a tree diagram to show all possibilities for flipping a coin four times.How many possibilities are in the sample space at the end of the tree diagram
A 4
B 5
C 8
D 16

Answers

Option D is correct, there are 16 possibilities are in the sample space at the end of the tree diagram

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that Cornelio creates a tree diagram to show all possibilities for flipping a coin four times

We need to find the number of  possibilities are in the sample space at the end of the tree diagram

The number of times coin is flipped=4

We can use 2ⁿ to figure out the number of possible outcomes where n is the number of tosses.

Now n=4, so the number of possibilities are 2⁴

2×2×2×2

16

Hence, option D is correct, there are 16 possibilities are in the sample space at the end of the tree diagram

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help me, please. I can't figure out if this is zero or infinite??

Answers

Answer:

it doesn't have any solutions bc the lines are parallel and don't share any points in common. hope this helps!

Write a rule to calculate 1% of any number

Answers

If you are doing algebra the answer is most likely:

0.01 times x

0.01 is 1% and x is a variable that represents any number
0.01(x)

where x is the number

if logx 27 +logy 4 =5 and log x 27 -logy 4=1 find x and y​

Answers

Answer:

[tex](x,y)\rightarrow(3,2)[/tex]

Step-by-step explanation:

I assume you mean [tex]\log_x(27)+\log_y(4)=5[/tex] and [tex]\log_x(27)-\log_y(4)=1[/tex]:

[tex]\biggr(\log_x(27)+\log_y(4)\biggr)-\biggr(\log_x(27)-\log_y(4)\biggr)=5-1[/tex]

[tex]2\log_y(4)=4\\\log_y(4)=2\\4=y^2\\2=y[/tex]

[tex]\log_x(27)+\log_y(4)=5\\\log_x(27)+\log_2(4)=5\\\log_x(27)+2=5\\\log_x(27)=3\\27=x^3\\3=x[/tex]

someone help me
Plsss

Answers

Answer:

Step-by-step explanation:

oh thats easy its 2

Karen drew a triangle The longest side of Karen's triangle measures 8 inches What must be true about the lengths in inches a and b of the two shorter sides of Karen'sHow many triangles can be drawn with side lengths 3, 5, and 9

Answers

The 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.

What is hypotenuse in a Triangle?

n a triangle, the longest side (the hypotenuse) is opposite the largest angle, and the other two sides are opposite the smaller angles. According to the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the length of the third side. So, if the longest side of Karen's triangle measures 8 inches, it means that the sum of a and b (the two shorter sides) must be greater than 8 inches. Therefore [tex]a+b > 8 inches[/tex].

For the second part of your question, only one triangle can be drawn with side lengths 3, 5, and 9. The three numbers 3, 5, and 9 form a Pythagorean triple, meaning they can be used as the lengths of the sides of a right triangle. Since the longest side (the hypotenuse) must be greater than the other two sides, the 9 inches side must be the hypotenuse, and the other two sides must be 3 inches and 5 inches.

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There is a line that includes the point (9,–8) and has a slope of –19. What is its equation in point-slope form?

Answers

Answer:

  y +8 = -1/9(x -9)

Step-by-step explanation:

You want the point-slope form of the equation of the line through point (9, -8) with slope -1/9.

Point-slope form

The equation of the line through point (h, k) with slope m is ...

  y -k = m(x -h)

You have (h, k) = (9, -8), and m = -1/9. Using these values, the equation is ...

  y +8 = -1/9(x -9)

A class of 20 students is visiting the fair today. Each student is 16 years old or younger and will participate in either the Hay Bale Toss or the Pie Eating Contest. If all 20 students joined the same event, how would the shape of the histogram change compared to the original

Answers

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20.

What is graphs?

Mathematicians use graphs to logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices.

In either the Hay Bale Toss or Pie Eating Contest, the graph's range of 0-19 will be extended by 20. 20 students attended the fair, total. Group age = 0 to 16

This age range is located in the histogram's first interval, which is 0–19. The graph for the pie eating competition would remain the same if all 20 pupils had participated in the hay bale toss, with the bar representing 0–19 rising from 40 to 60.

The graph of the Hay Bale Toss would remain same if all 20 pupils had participated in the Pie Eating Contest, increasing the bar of 0-19 from 20 to 40.

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a gardener is starting a new square garden and will enclose it with 100 meters of fencing. he wants to determine the area of this garden let A represent the area of the garden in square meters

Answers

The area of the garden is 625 square meters.

What is perimeter?

We know that the perimeter of a square is equal to the sum of all four sides. Since the gardener is using 100 meters of fencing to enclose the garden, and since the garden is a square, we can set the perimeter equal to 100 meters:

P = 4s

100 = 4s

Where P is the perimeter, and s is the length of one side of the square.

We can solve for s by dividing both sides of the equation by 4:

s = 100/4 = 25

Since the area of a square is equal to one side of the square squared, we can find the area of the garden by squaring the value of s:

A = s^2

A = 25^2

A = 625

So the area of the garden is 625 square meters.

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Where is quadrant 4?

Answers

The fourth quadrant, often known as Quadrant IV, is the bottom right quadrant. The x-axis in this quadrant is positive, whereas the y-axis is negative.

Two-dimensional Cartesian axes separate the plane into four infinite areas known as quadrants, each of which is bordered by two half-axes. These are frequently numbered 1 through 4.

90° arc; one-fourth of a circle. the region enclosed by such an arc and two sketched radii, one at each extreme. a component of a machine that has a quarter-circle form.

The x- and y-coordinates are both positive in quadrant I.

The x-coordinate is negative and the y-coordinate is positive in quadrant II.

The x- and y-coordinates are positive in quadrant III.

Quadrant IV: The x-coordinate is positive and the y-coordinate is negative.

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The price of an article is fixed at a certain percent above the cp and sold it at 5% discount . If the cp is rs16000 and sp is rs20900 with 10% vat ,how much percentage is mp more then cp ?

Answers

Markup price is 30% more then Cost price.

What is VAT?

The selling price includes a VAT (which is a form of tax) and a discount.

A Vat is a form of tax which increases the price of a good and a discount reduces the price.

The marked price is mp = cp(1 + 5%) = 1.50cp

The selling price is sp = mp(1 -10%) = 0.90mp

The gain is profit =sp -cp

= (0.90(1.50cp)) -cp

= cp(0.90·1.50 -1)

= 0.04cp

Mark up = (selling price - cost price) / cost price

(20900 - 16,000) / 16,000 = 0.306 = 30.6 %

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Is 4x² 3x 7 a polynomial in one variable?

Answers

'x' is the only variable in the provided polynomial. As a result, the polynomial  4x² - 3x + 7  has one variable.

what is polynomial ?

A polynomial is an expression in mathematics made up of variables (sometimes referred to as indeterminates) and coefficients that only employs the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. A polynomial is an equation that combines variables, constants, and exponents utilizing addition, subtraction, multiplication, and division of numbers (No division operation by a variable).

given

'x' is the only variable in the provided polynomial. As a result, the polynomial  4x² - 3x + 7  has one variable.

The following list includes a few examples of polynomials with one variable: x+2. x2+3x+2.

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