Write a system of inequalities to match the graph and prove that the coordinate point (-10, -14) is in the solution set

Write A System Of Inequalities To Match The Graph And Prove That The Coordinate Point (-10, -14) Is In

Answers

Answer 1

Answer:

y < x - 2

y ≥ 2x + 5

Step-by-step explanation:

For the equation of the dotted line,

Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Since the dotted lines passes through the points (-7, -9) and (2, 0)

Slope = [tex]\frac{-9-0}{-7-2}[/tex]

    [tex]m_1[/tex] = 1

Therefore, equation of the line passing through (2, 0) and slope = 1 will be,

y - y' = m₁(x - x')

y - 0 = 1(x - 2)

y = x - 2

Since, shaded area is below the dotted line,

y < x - 2 will be the inequality.

Slope of the solid line passing through (-7, -9) and (0, 5) is,

[tex]m_2=\frac{-9-5}{-7-0}[/tex]

     = 2

Therefore, equation of the line passing through (0, 5) and slope = 2 will be,

y - 5 = 2(x - 0)

y = 2x + 5

Since, the given line is a solid line and shaded area is above the line,

y ≥ 2x + 5 will be the inequality.

Since, (-10, -14) is lying in the common shaded area of both the inequalities, it will be the solution set of the graphed inequalities.


Related Questions

Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.

Please include the Variable, Equation, and the Solution​

Answers

Answer:

Ms. Bailey purchases 6 children tickets

Step-by-step explanation:

x=number of adult tickets

y=number of children tickets

10x+6y=46

plug in what you know

10(1)+6y=46

10+6y=46

subtract 10 from both sides

6y=36

divide both sides by 6

y=6

6 children tickets

HELP!

Write an equation to represent: The cost of buying lemonade stand supplies is $0.50 per cup, $5 for ingredients, with a total cost of $30.

Answers

Answer:

$0.50x+5=30

Step-by-step explanation:

maf

Rafael wrote expressions equivalent to 8 using square roots and cube roots. All of the following could be one of Rafael’s expressions except:

Answers

Answer:

it's c

Step-by-step explanation:

Answer:

C.

[tex] \sqrt[3]{64} \times \sqrt[3]{8} [/tex]

PLSS HELPPP 20 POINTS

Which of the following is the best way of selecting a random sample from students at King
Middle School?

a) Use the student directory, toss a number cube, start from that name, and select every tenth person.

b) Select every student from one grade.

c) Use the student directory, pick one student's name by chance, and then pick another student's
name.

d) Pick every tenth person who arrives at school by bus.

Answers

Answer:

a

Step-by-step explanation:

just did it

Answer:the 2nd one is the answer it's easy I just did it :

Each school bus can hold 65 students. If there are 8 buses, how many students can ride the bus?

Answers

Answer:

520

Step-by-step explanation:

Write the sentence as an equation 175 is equal to 182 multiplied by g

Answers

175=182g i hope this is right

Solve for x (see image)

Answers

Answer:

x = 18

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

x^2 + 24^2 = ( 12+x)^2

FOIL the right side

x^2 +576 = 144 + 24x + x^2

Subtract x^2 from each side

576 = 144 + 24x

Subtract 144 from each side

576-144 = 24x

432 = 24x

Divide each side by 24

432/24 = 24x/24

18=x

i need help i’m stuck on this one

Answers

Answer:

i would say the 2nd or 3rd on bc that is kinda confusing

10. Four employees are paid a monthly salary as follows: Wilma. $1.820: Mavis,

$1,615; Martha, $1.977: Tom. $1.560. Whöt average salary per month are these

employees paid?

Answers

Answer: Average salary per month=$1,743

(NB--- I am thinking you meant  $1,977, $1,560, $1,820 instead of $1.977 $1.560. $1.820 ie a comma instead of decimal point, so i corrected and solved )

Step-by-step explanation:

Step 1

Average salary  =Total amount of employees salaries/ Number  of employees

Step 2

Employee         Amount of salary per month

Wilma                $1,820

Mavis,                $1,615

Martha,             $1,977

Tom                   $1,560.

Total =               $ $6,972

Average salary per month  = $1,820 + $1,615+$1.977+$1.560/4 =$6,972/4= $1,743

Is Nora or Sofia correct? Explain your reasoning.

Answers

Answer:

  Nora is correct

Step-by-step explanation:

Sophia used an appropriate method for computing the value of the repeating decimal fraction ...

  0.1212_12

Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.

Nora is correct in saying Sophia made a mistake.

___

Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:

  [tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]

However, the decimal does not repeat, so this does not work:

  100x = 12.1121112

  100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating

That is, the decimal part is not cancelled by Sophia's work, as we said above.

36599 round to the nearest thousand 100,699 round to the nearest thousand

Answers

Answer:

36,599 rounded to the nearest thousand is 37,000

100,699 rounded to the nearest thousand is 101,000

hope this helps! best of luck <3

Answer:

37000

101000

Step-by-step explanation:

The Cubs have won
7 out of their last 11
games. What's the
ratio of games lost to
games played?

Answers

First you need to figure out the games the Cubs lost. 11-7=4, so they lost 4 games.

Now you must plug in the ratio of games lost to games played. You know they lost 4 games and played 11, so the ratio would be 4:11.

I hope you find this helpful :)

factorize : 8a³-b³​

Answers

Step-by-step explanation:

8a^3 - b^3

= (2a)^3 - b^3

= (2a -b) (4a^2 + 2ab + b^2)

An expression is defined as a set of numbers, variables, and mathematical operations. The given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

What is an Expression?

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be rewritten as,

8a³ - b³​

= (2a)³ - b³

It is known that x³-y³​ can also be written as (x-y)(x²+xy+y²). Therefore, the above expression can be written as,

= (2a)³ - b³

= (2a - b)[(2a)² + (2a × b) + b²]

= (2a - b)(4a² + 2ab + b²)

Hence, the given expression 8a³-b³​ can be rewritten in factor form as (2a-b)(4a²+2ab+b²).

Learn more about Expression here:

https://brainly.com/question/13947055

#SPJ2

2(4x - 3) 2-3(3x) + 5x​

Answers

Answer:

12x-12

Step-by-step explanation:

I believe this is the correct answer, but correct me if I'm wrong.

Which best describes what is happening in section B

Answers

Answer:

Jamal is traveling at a constant speed.

Step-by-step explanation:

because it's a line going straight and not down.

Consider the universal set U and the sets X, Y, Z. U={1,2,3,4,5,6} X={1,4,5} Y={1,2} Z={2,3,5} What is (Z⋃X′)⋂Y?

Answers

X' = U - X

= {1,2,3,4,5,6} - {1,4,5}

= {2,3,6}

(ZUX') = {2,3,5} U {2,3,6}

= {2,3,5,6}

(Z⋃X′)⋂Y = {2,3,5,6} ⋂ {1,2}

= {2}

what is 2*2 please answer this question

Answers

Answer:

4

Step-by-step explanation:

Answer:

5-1

Step-by-step explanation:

I need help with this question

Answers

The answer is 17 when you substitute u=-2
The answer is 9, using bodmas

Marsha bought a pencil for $2.81 and a drink for $3.67. She paid with a $20 bill. How much change should Marsha have received?

Answers

Answer:13.52

Step-by-step explanation:2,81+3.67=20-6.48=13.52

SD and SG are tangent to ⊙ K. Identify SG. HELP!!

Answers

Answer:

63

Step-by-step explanation:

Tangents drawn from external point to a circle are congruent.

Therefore,

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

[tex]x = \frac{27}{3} \\ x = 9 \\ SG = 8x - 9 \\ SG =8 \times 9 - 9\\ SG =72 - 9 \\ \huge \red{ \boxed{SG =63}}[/tex]

Answer: 63

Tangents drawn from external point to a circle are congruent.

SG = SD

8x - 9 = 5x + 18

8x - 5x = 9 + 18

3x = 27

Step-by-step explanation: 63

Is 3.14596387 a rational number?

Answers

no it is an irrational number

A regulation baseball field measures 90 feet between each base. what is the distance around the bases in meters?

Answers

Answer:

27.43 meters in between each base, 109.72 around all the bases.

Step-by-step explanation:

There are 0.3 meters in one foot, so 0.3 x 90= 27.43. 27.43x4=109.72

What is 16/6 as a decimal?

Answers

To get 16/6 converted to decimal, you simply divide 16 by 6.

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

Answers

Answer:

x = 6

Step-by-step explanation:

Area of rectangle = length * width

                              = 10 * (x +2)

                              = 10*x + 10*2

                              = 10x + 20 square units

Area of triangle = [tex]\frac{1}{2}*bh[/tex]

                          [tex]=\frac{1}{2}*2*(x + 4)\\\\\\=1 * (x +4)\\\\\\[/tex]

                          = (x + 4) square units

Area of rectangle = 8* area of triangle

10x + 20 = 8 *( x+ 4)

10x + 20 = 8x + 32

Subtract 20 form both sides.

10x  = 8x + 32 - 20

10x = 8x + 12

Subtract 8x form both sides

10x - 8x = 12

2x = 12

Divide both sides by 2

2x/2 = 12/2

x = 6

5x + y = 12

Solve for y plz

Answers

Answer:

i think 7

Step-by-step explanation:

Answer:

its 7

Step-by-step explanation:

cuz in this you have to move the 5 from the 12 can i have brainleyist

A coin was tossed 60 times and the coin landed on Heads 35 times. What proportion of the time did the coin land on Heads?
Type your numeric answer and submit

Answers

Answer: Hence, the proportion of head lands obtained from the total number of tosses is 0.583

Step-by-step explanation:

Given the following :

Total number of coin tosses = 60

Total number of times coin landed on head = 35

Proportion of head landings obtained :

Total number of head landings obtained / total number of coin tosses

Proportion of head landing obtained :

= 35 / 60 = 7 / 12 = 0.5833

(-1/3)-(-9/5) to the lowest term

Answers

Answer:

Step-by-step explanation:

-1/3 + 9/5

-3/15 + 27/15

24/15 = 8/5 = 1 3/5

WHICH DECIMALS ARE REPEATING DECIMALS?
A. 0.375
B. 3.44
C. 4.95

Answers

The answer is B. 3.44

Find the distance between the points E(3, 7) and F(6, 5).
The exact distance between the two points is

Answers

Answer:

The answer is

[tex]\sqrt{13} \: \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

E(3, 7) and F(6, 5)

The distance between them is

[tex] |EF| = \sqrt{( {3 - 6})^{2} + ({7 - 5})^{2} } \\ = \sqrt{ ({ - 3})^{2} + {2}^{2} } \\ = \sqrt{9 + 4} \\ = \sqrt{13} \: \: \: \: \: [/tex]

We have the final answer as

[tex] \sqrt{13} \: \: \: \: units[/tex]

Hope this helps you

A total of 587 tickets were sold for the school play. They were either adult tickets or student tickets. There were 63 fewer student tickets sold than adult tickets. How many adult tickets were sold?

Answers

Answer:

'325 adult tickets' is the ACTUAL answer

Step-by-step explanation:

I am editing this because I made a mistake beforehand

Let's say that x=adult tickets. If we subtract 63 tickets from adult tickets you get the number of children's tickets, so that means x+(x-63)=587. Or,

2x-63=587

Add 63 to both sides to get 2x=650. Divide it all by 2, and you get 325 adult tickets

Other Questions
All hypotheses are valuable, even if they turn out not to be true. Which answer does NOT support this statement? A) An incorrect hypothesis means the experiment failed. B) An incorrect hypothesis might lead to an alternative hypothesis. C) An incorrect hypothesis might reveal flaws in the experimental method. D) An incorrect hypothesis might lead to a better understanding of the phenomenon being studied. BbhhhhhuskyNnnjhhhJndg. is there such thing as the average American citizen? When using 3 letters to make an angle the middle letter is HELP ME PLEASE!!! 30 degrees North latitude and 120 degrees West longtitude is an example of what? Which is a compound sentence?bcO My brother and I think television is boring.O Although the playwas rather long, we enjoyed it.We watched the movie, and we clapped at the end.O They like to listen to music for entertainment. What is the volume of as sample that has a mass of 40.0 g and a density of 4.30 g/mL? What does 2 tenths look like? Nothing ConstantNothing is constant but change.Heraclitus, an ancient Greek philosopher1 It was the last day of school; the kids were gone, the books had been collected, and Principal Drake was handing out final paychecks. This was normally a relaxed meeting at which teachers wearing casual clothes smiled and wished each other well for the summer. But no one was smiling today, because a story in the local newspaper had exploded like a crack of thunder.2 The headline read, Board of Education Plans New Middle School, and the staff members of East Orange Elementary were rattled.3 Principal Tom Drake opined, I am concerned about a situation in which a newspaper already knows school district information that comes as a surprise to me and my teachers. He continued, But of far greater concern is what this means for us, for our colleagues at West Orange, and for students and parents throughout the district.4 Coach Melinda Gardner whispered to her friend, Mr. Dale French, Old Tom is just worried the Board might ask him to retire and make someone else principal of the new campus.5 Mr. French whispered back, Melinda, you be nice now, but he couldnt help smiling at his friends remark.6 As the meeting went on, many teachers worried out loud about what might happen if grades 6-8 from East and 6-8 from West consolidated.7 Ever since the two elementary schools had opened, decades ago, the district had proudly maintained a unique system. While surrounding districts had built new middle schools, Orange kept two elementary buildingsEast and Westwith K-8 graders in each.8 Now, according to the paper, the results of the 2010 census were in. They suggested population growth would soon fill both elementary schools with K-5 students only. Apparently, the Board thought the time was ripe to build one new middle school for 6-8 graders.9Will one campus need two middle school science labs? Dr. Fred Davis, the science department head, asked the group in his usual shy, quiet voice.10Since there is only one middle school library, is the Board going to honor seniority? Mrs. Betty Green asked brashly. Or the Board could just keep whichever librarian has the coolest photos on her social media site, she added sarcastically.11Mrs. Green is worried her lack of computer skills might finally hurt her, Coach Gardner whispered to Mr. French again.12Coach Gardner, please! Principal Drake scolded his gym teacher for whispering. You would not tolerate it if your students were rude. This turn of events has caused real alarm so lets be sensitive to each others concerns.13I apologize for both of us, Tom, Mr. French offered. But lets not get carried away and spoil our summers over this. We dont know if this proposed new campus will actually be built. The census projections could be wrong. Even if they are right, the cost of raising taxes to pay for a new school might not go over well with voters.14 Mr. French continued, I plan to enjoy my summer and expect another great year. Chances are well all have jobs because several teachers retire every year and the Board moves us around to fill the vacancies. Some of us may have new assignments, but well all land somewhere.15 All around the room there were nods of agreement. The atmosphere of gloom gave way to the usual feelings of accomplishment and relief at the end of school.16 Mr. French offered one more uplifting thought. Each spring we graduate our eighth graders and send them on to Central High. If they can adjust to a new building, I think we can too.17 With that, the teachers adjourned and summer vacation began.What do Mr. Frenchs comments throughout the story reveal about his character? A. He wants everyone to like him and be his friend. B. He wants to flatter everyone to gain their trust. C. He is a calm person and a positive influence. D. He is a man who pushes his viewpoint on others. The width of a rectangle measures 9.7 X -4.7 centimetersAnd the length measures 2.9 X +6.4 cm which expression represents the perimeter in centimeters of the rectangle Need helppppppp!!!!Solve the absolute value equation: |3x - 6| = 12 The Ninth and Tenth Amendments deal with rights not outlined specifically in the US Bill of Rights. Why do you think the writers of the Constitution felt these two amendments were important? Find the percent change. State whether it is an increase or decrease. Round to the nearest tenth of a percent. From 50 to 42 What are two types of oligarchies?theocracy and monarchydictatorship and theocracycommunism and dictatorshiptheocracy and communism Which of the following is NOT a step in forming a formal command in Spanish? Ignore any yo form changes Take the yo form change is there is one Add the opposite ending add an 'n' if you are commanding multiple people Alvin is 9 years older than Elga. The sum of their ages is 89. What is Elga's age? Can someone help plz Mateo scored in the 55th percentile of his class on the latest math exam. What does this mean in relation to the data set, and what did he score on the exam? 12_=4Whats the answer? When does the Northern hemisphere have the coldest climate?