Which compound sentence has its solution set shown on the graph below

Which Compound Sentence Has Its Solution Set Shown On The Graph Below

Answers

Answer 1

A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time.

“Or” indicates that, as long as either statement is true, the entire compound sentence is true.

Now as shown in the graph, the solution inequality of the graph is :

x > 3 and x < 5   [please note, circles in the graph indicate exclusion, dots indicate inclusion. in the graph given circles are shown, so it depicts exclusion]

Now let's solve each option to find if it fits in with the above inequality

Option 1 : 2x-4 > 6 or 3x < 9

⇒ x > 5 or x < 3

Option 2 : 2x - 4 < 6 and 3x > 9

⇒ x < 5 and x > 3

Option 3 : 3x + 8 > -7 or -4x < 12

⇒ 3x > -15 or x < -3

⇒ x > -5 or x < -3

Option 4 : 3x + 8 < -7 and -4x > 12

⇒ 3x < -15 and x > -3

⇒ x < -5 and x > -3


So the compound sentence in option 2 : 2x - 4 < 6 and 3x > 9

has its solution set on the graph.



Related Questions

is 5.3 repeating rational

Answers

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers. If a number is terminating or repeating, it must be rational if a decimal is both non terminating and non repeating, the number is irrational.

So yes.

Final answer:

Yes, 5.3 repeating is a rational number. It can be written as the fraction 53/9.

Explanation:

Yes, 5.3 repeating is a rational number. A rational number is a number that can be expressed as a fraction, where both the numerator and denominator are integers. In this case, we can write 5.3 repeating as the fraction 53/9. The decimal 5.3 repeating means that the digit 3 repeats infinitely, so it can be written as 5.3333... In fraction form, this becomes 53/10 + 53/100 + 53/1000 + ...

Learn more about Rational numbers here:

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what is 2 and 3/5 equal to in decimals

Answers

The answer is 2.6, 2 is whole number so it is put first and the fraction
[tex] \frac{3}{5} = 0.6[/tex]
if you add them together you get the answer of
[tex]2.6[/tex]

2 and 3/5 is equal to 2.6.

Being as the 2 is in front of the fraction, it is the whole number. This means in decimal form, it is to the left of the decimal point. Since there is no "fifths place" in a decimal, you must make it so it can go under the tenths, hundreths, thousanths or another place within the right side of the deciamal point. Simply multiplying 3/5 by 2/2 will give you 6/10. 6/10 as a decimal, is 0.6. Finally, add 0.6 and 2 together. Thus making 2.6 the answer.

I hope this helps!

how long will it take to spend 1millon if you spend 1000 per day?

Answers

It will take 1000 days to spend 1,000,000 if you spend 1,000 per day.

1000 days




Hope it helps ❤️


what property of multiplication is illustrated 4x6x10

Answers

Simplify and you get 240 if I’m reading this correctly

The answer demonstrates the associative property through the multiplication of 4x6x10, resulting in 240.

Multiplication Properties Illustrated in 4x6x10:

The property of associative property is illustrated in 4x6x10. This means that changing the grouping of the numbers being multiplied does not change the result.

Step 1: Compute 4x6 = 24Step 2: Multiply 24 by 10, which gives the final result: 240.

Jasper starts the month with $24 in his savings account. At the end of each week, Jasper adds $8 to the account. How much will Jasper have in his account after 10 weeks?

Answers

24 + (8·10)

24 + 80

104 dollars after ten weeks


Well I think I know what you mean- correct me if I’m incorrect.
8x10=80
80+24=104

How many 1/5 cup servings are in 3/4 of a cup of ice cream

Answers

1/5, times top and bottom by 4 to get common denominator, would equal 4/20
3/4, times both sides by 5 to get common denominator, would get 15/20
15÷4=3.75
3.75 servings of 1/5 would go into 3/4

What does 7/18 + 2/27=

Answers

The answer would be 25/54

25/54 or .46

7/18+2/27


2 factors of 36 add up to 15 What are they?

Answers

Hey there!!

What are the factors of 36?

Ans :- 1 , 36 , 2 , 18 , 3 , 12 , 4 , 9 , 6

Which of these numbers add up to 15 ?

... 12 + 3 = 15

The number are 15.

They add up to 15 and both of these are factors of 36.

Hope my answer helps!!

Find the coordinates of the point of intersection of the graphs of lines with y=−2x+7 and y=0.5x−5.5

Answers

the coordinates of the point of intersection of the graphs of lines with

y=−2x+7 and y=0.5x−5.5

to find intersection we solve for x  and y

We replace -2x+7 for y in the second equation

−2x+7 =0.5x−5.5

Subtract 0.5x from both sides

-2.5x + 7 = -5.5

Subtract 7 on both sides

-2.5x = -5.5 - 7

-2.5x = -12.5

divide by -2.5 from both sides

x = 5

Plug in 5 for x in y=−2x+7

y=−2(5)+7

y = -10 + 7

y = -3

The point of intersection is (5,-3)


what is the least common denominator of 5/9 and 11/12?

Answers

The LCM of 5/9 and 11/12

is 36

9*4=36

12*3=36

20/36

&

33/36

To rent a certain meeting room, a college charges a reservation fee $18 and an additional fee of five dollars per hour. The chemistry club want to spend less and $78 on renting the room what are the possible numbers of hours in the chemistry club convention for the meeting room

Answers

This problem would be best modeled by an inequality.

Let t = the number of hours.

18 + 5t < 78

5t < 60

t < 12


The way the question sounds, it would not be a lessthan or equal to, because they want to spend less than 78.  It would be a less than or equal problem if they said "no more than 78"

What is the slope of y= 4x + 5

Answers

Answer:


Step-byhe slope is 4, or 4/1, and the y-intercept is 5, or (0, 5).step explanation:


[tex]\bf \stackrel{slope}{y=\stackrel{\downarrow }{4}x+5}~\hspace{5em}\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

331 students went on a field trip .six buses were filled and 7 students traveled in cars how many students were in each bus?

Answers

331 total students. 7 traveled by car.

331 - 7 = 324 were on buses.

There were 6 buses:

324 / 6 = 54 students on each bus.

what is the slope of -1,-7 and 3,9

Answers

Answer:

The slope is 4.

Step-by-step explanation:

Use the slope formula.

[tex] m = \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] m = \dfrac{-7 - 9}{-1 - 3} [/tex]

[tex] m = \dfrac{-16}{-4} [/tex]

[tex] m = 4 [/tex]

The equations 2x+7=3 and bx-10=-2 have the same solution for x. Find the value of b.

Answers

Solve both equations for x:

2x+7 = 3

2x = -4

x = -2

Plug x into the equation which contains b:

b(-2) -10 = -2

-2b = 8

b = -4


Answer:

b = -4

x = -2

To find the value of b so that the equations 2x+7=3 and bx-10=-2 have the same solution, solve the first equation for x, then use that value to solve for b in the second equation. The value of b is -4.

To find the value of b such that the equations 2x+7=3 and bx-10=-2 have the same solution for x, we need to solve the first equation for x.

Solving the equation 2x+7=3:

Subtract 7 from both sides: 2x = -4

Divide both sides by 2: x = -2

Now that we have the solution x = -2, we can plug this value into the second equation to find b:

bx - 10 = -2

Substitute x with -2: b(-2) - 10 = -2

Multiply b by -2: -2b - 10 = -2

Add 10 to both sides: -2b = 8

Divide both sides by -2: b = -4

Therefore, the value of b is -4.

Anna picked 6 apples. Sabrina picked 7 times as many apples. How many apples did Sabrina pick?

Answers

Anna picked 6 apples

Sabrina picked 7 times as many apples.

Multiply the two numbers together

6 x 7 = 42

Sabrina picked 42 apples

hope this helps

~Rise Above the Ordinary

Anna picked 6 apples. Sabrina picked 7 times as many apples. How many apples did Sabrina pick?


Times, means to multiply, take the only two numbers in the problem and multiply them together.

6 x 7 = 42  





~

increase or decrease 32 pages to 28 Pages round to the nearest tenth of a percent

Answers

Hello! I would love to help!


Let's start by decreasing 32 pages to 28. How many pages does it take to get from 28 to 32? Let's subtract to find out!


32-28=4

Okay, now we know 28 pages is 4 less than 32.

Now, what percentage did it decrease by? Let's find out by dividing!

4/32=0.125

Let's make that decimal into a percentage by multiplying it by 100.

0.125*100=12.5


So, we now know the answer is...


decreased by 12.5%


Hope this helped! Comment if you have questions!

Final answer:

The number of pages decreased from 32 to 28, which is a difference of 4 pages. Dividing by the initial number of pages and multiplying by 100 gives a decrease of 12.5%.

Explanation:

To calculate the percentage change when the number of pages in a document decreases from 32 to 28, we follow these steps:

Find the difference between the two numbers. In this case, it is 32 pages - 28 pages = 4 pages.Divide the difference by the initial number of pages. So, we do 4 pages / 32 pages = 0.125.Multiply the result by 100 to get the percentage. Thus, 0.125 * 100 = 12.5%.Since the number of pages decreased, it is a 12.5% decrease.

Therefore, there is a 12.5% decrease when a document goes from 32 pages to 28 pages.

a number is multiplied by 4. Next, 3 is added to the product, ans then 11 is substracted. If the result is 24, what is the number

Answers

Answer:

x = 6

Step-by-step explanation:

(x)(4) +3 -11 = 24

6 x 4 = 32

32 + 3 = 35

35 - 11 = 24

shen just bought 7 bags of 14 cookies each.he already had 9 cookies in a jar. how many cookies does shen have now??

Answers

If he have 7 bags of 15 cookies each bag, he just need to multiply the number of bags(7) by the number of cookies in each bag (14):

14×7= 98 cookies from the bags.

Then, if he already had 9 cookies on the jar, add the number of all the cookies that he bought (98) to his cookies in the Jar (9):

98+9= 107 Cookies

At the end, he will have 107 Cookies, and also, a great amount of Cookies

The figure below shows the penalty box and the goal box of a soccer field. The penalty box is the largest rectangle

Answers

Part (A):

The area of the penalty box.

The dimensions of the penalty box are (15x-1) and (5x-7)

The area of rectangle = length * width

∴ The area of the penalty box = (15x-1) * (5x-7) = 75 x² - 110 x + 7

===================================================

Part (B):

The area of the goal box.

The dimensions of the goal box are (7x-1) and (x+3)

The area of rectangle = length * width

∴ The area of the goal box = (7x-1) * (x+3) = 7x² + 20x - 3

=======================================================

Part (C):

The area of the penalty box not coverd by the goal box =

The area of the penalty box - The area of the goal box =

(75 x² - 110 x + 7) - (7x² + 20x - 3) = 68 x² - 130 x + 10

What is the slope of the line that passes through the points (-2, 2), and (-4, -2)?
a.-1/2
b.2
c.-2
d.1/2





Answers

The slope would be b.2

find two consecutive odd integers whose product is 1443

Answers

Let's x represents the first odd integer

The next consecutive integer would be represented as x+2.

So x and x+2 being multiplied together will give us 1443:

(x)(x+2)=1443

x^2+2x=1443

x^2+2x-1443=0

By solving the quadratic equation using the quadratic formula, x will equal to 37 and -39.

Since the problem says "integers", so I'm assuming two pairs of consecutive integers would be ok.

With that said you 1st pair will be: 37,39

Your second pair will be: -37,-39.



Please!! help me with number 7. and 9.

and I will THANK YOU!!!

Answers

Answer:

7: 12 / 6 <- answer

9: 12 / 2 <- answer

7) 12 / 6  

(how many party favors can he give to 6 people if he has twelve? each person can get 2)

9) 2(12)    

(Each water bottle is two dollars, how many bottles did she buy? 12. 12 bottles at 2 dollars each would be $24)

John has a roll containing 24 2/3 feet of wrapping paper. he wants to divided it into 11 pieces, first though he must cut off 5/6 foot because it is torn. How long will each piece be?

Answers

Ok, so first you have to take the 5/6th off. This would be 24 4/6 - 5/6th which would be 23 and 5/6ths. The next step would be to turn the 5/6 into a decimal. That would be 0.83333 so 23.83 divided by 11.  The answer would be 2.166363664 according the the calculator. HOPE THIS HELPS!!!

Answer:

[tex]2\frac{1}{6}[/tex] foot

Step-by-step explanation:

John has a roll containing  [tex]24\frac{2}{3}[/tex] feet of wrapping paper.

He must cut off  [tex]\frac{5}{6}[/tex] feet.

Now the left over wrapping paper =  [tex]24\frac{2}{3}[/tex] -  [tex]\frac{5}{6}[/tex]

                                                      =  [tex]\frac{74}{3}[/tex] -  [tex]\frac{5}{6}[/tex]

                                                      =  [tex]\frac{148-5}{6}[/tex]

                                                      =  [tex]\frac{143}{6}[/tex]

                                                      =  [tex]23\frac{5}{6}[/tex]

He wants to divide the left over wrapping paper into 11 pieces.

[tex]23\frac{5}{6}[/tex] ÷ 11

[tex]\frac{143}{6}[/tex] ÷ 11

[tex]\frac{143}{6}[/tex] ×  [tex]\frac{1}{11}[/tex]

[tex]\frac{143}{66}[/tex]

[tex]\frac{13}{6}[/tex]

[tex]2\frac{1}{6}[/tex] foot

Each piece would be  [tex]2\frac{1}{6}[/tex] foot long.

a fence is 702 m long. it is cut into three parts. two parts are the same length and the third is 27 m longer than either of the other two. find the length of each part

Answers

Answer:

225, 225 and 252 meters

Step-by-step explanation:

Let  length of the 2 equal parts be each x m, then:-

2x + x + 27 = 702

3x = 702 - 27 =    675

x = 675/3

x = 225

So lengths of each parts are  225, 225, 252

To find the lengths of the three parts, we let the length of each of the two equal parts be 'x' and set up the equation 3x + 27 = 702. Solving for 'x' gives us that each of the two equal parts is 225 m, and the third part is 252 m.

The student is asking to find the lengths of three parts of a fence that has been cut, with two parts being equal in length and the third part being 27 m longer than the other two. Let's assume each of the two parts that are the same length is 'x' meters. Since the third part is 27 m longer, it would be 'x + 27' meters. According to the problem, the total length of the fence is 702 m.

Therefore, the sum of all three parts is:

x + x + (x + 27) = 702

Simplifying this, we get:

3x + 27 = 702

Subtract 27 from both sides:

3x = 675

Now, divide both sides by 3:

x = 225

So, the two equal parts are each 225 m long, and the third part is 225 + 27 = 252 m long.

Riding with the wind at her back, a cyclist takes an hour less time to cover 80 miles than without any wind. Riding with the wind increases the cyclist's speed by 2 miles per hour. What is her speed when riding with the wind?

Answers

Answer:

41 MPH

Step-by-step explanation:

Let's assume the original speed with or without, is around 82 miles, within 2 hours.

So in this case, it'd be half the miles, half the hours!

Solution:

Let the speed of cyclist without any wind = x miles per hour

   Speed of cyclist when speed of wind increases by 2 miles per hour =              (x + 2 )miles per hour

Also , relation that is given between speed of cyclist without wind and with wind is :Riding with the wind at her back, a cyclist takes an hour less time to cover 80 miles than without any wind.

Converting this statement into terms of equation:

[tex]\frac{80}{x}-\frac{80}{x+2}=1  \\\\ 160 = x^2 + 2x \\\\ x^2 + 2x - 160=0 \\\\ x= \frac{-2\pm\sqrt{4+640}}{2}, {\text {As speed can't be negative, so taking positive value of x}} Gives,  x =11.68[/tex]→→→To solve the Quadratic equation of type : a x² + b x + c=0, I have used discriminant method, to find the roots, which is x= [tex]\frac{-b\pm\sqrt{D=b^2-4ac}}{2a}[/tex]

Speed of cyclist without wind = 11.68 miles per hour

Speed of cyclist when wind is flowing = 11.68 +2 = 13.68 miles per hour




The equation of the graphed line is 2x – 3y = 12.


What is the x-intercept of the graph?

–4


6

Answers

Answer:

6

Step-by-step explanation:

The x-intercept is the x-coordinate of the point on the line that intersects the x-axis. At the x-axis, all y-coordinates are 0. Let y = 0, and solve for x.

2x – 3y = 12

2x - 3(0) = 12

2x = 12

x = 6

The x- intercept of the graph is 6

What is Intercept?Intercept is point on the y-axis where the slope of line passes.

How to solve the Problem?

The problem can be solved by following steps

The equation given is 2x-3y=12We need to find the x-intercept of the graphTo find the X- intercept we need to substitute y=0

2x-3(0)=12

2x=12

x=6

Hence the x-intercept is 6

Learn more about X-intercept here

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Use the equation y = 4x to answer the questions.

Answers

The slope is 4 and the Y-Intercept is 0.


Which variable is most important to the following problem? At 9:45 a.m. a patient’s temperature was 101.5 degrees at 10:41, the nurse took the patients temperature again and found it was 105.8 degrees, the highest ever recorded. How long did it take for the patients temperature to reach that high? A: the number of minutes it took for the to reach its peak B: the number of degrees that the temperature changed C: the date on which the previous high was recorded

Answers

Answer:

Option A is the important variable.

Step-by-step explanation:

Given is - At 9:45 a.m. a patient’s temperature was 101.5 degrees at 10:41, the nurse took the patients temperature again and found it was 105.8 degrees, the highest ever recorded.

The variable that is most important here is A: the number of minutes it took for the to reach its peak.

Firstly it is not mentioned if 10:41 is am or pm.

If its am, then such a temperature rise in less than an hour is very dangerous.

So, the important variable is option A.

Answer:

The answer is B: the number of degrees that the temperature changed.

Step-by-step explanation:

Just took the test

Yoko drove 522 miles in 9 hours. At the same rate, how many miles would she drive in 13 hours?

Answers

Yoko would drive 754 miles in 13 hours.

First you would have to find how many miles Yoko drives per hour so you divide 522 miles/9 hours to get 58 miles per 1 hour. Then you multiply 58 * 13 to get 754 miles.

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