Solve the compound inequality.

2(x – 2) + 7 > –1 and 5 – 4x > 9

Ax –2 and x –2 and x < –1

Answers

Answer 1

Answer:

x>-2 and x<-1

Step-by-step explanation:

just do it

Answer 2

The solution set in which all the the possible values of x which satisfy the given compound inequality is -

x ∈ A , where A = (- ∞, -1)

What is inequality?

In mathematics, inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.

Given is the following compound inequality -

2(x – 2) + 7 > –1

and

5 – 4x > 9

Inequality - 1

2(x – 2) + 7 > –1

2x - 4 + 7 > - 1

2x + 3 > - 1

2x + 3 - 3 > - 1 - 3

2x > -4

x > -2

x < 2

Inequality - 2

5 – 4x > 9

5 - 5 - 4x > 9 - 5

- 4x > 4

-x > 1

x < - 1

Since x < - 1 and x < 2, therefore the inequality → x < -1 represent all the solutions. We can write the solution set as -

x ∈ A , where A = (- ∞, -1)

Therefore, the solution set in which all the the possible values of x which satisfy the given compound inequality is -

x ∈ A , where A = (- ∞, -1)

To solve more questions on Compound inequalities, visit the link below-

https://brainly.com/question/15305613

#SPJ2


Related Questions

What is the slope of the line on the graph?



Enter your answer in the box.

Answers

Answer:

-2/6

Step-by-step explanation:

rise/run

    or

how much you go up/how much you go to the side

the line is going to the left making it negative

Somebody who remembers how to do this plz answer all the questions correct!!!!! Thx:)
(WILL MARK AS BRAINLIEST)
Grade5math

Answers

Answer:

.3 .029 .0157 3.9 2.023 4.0129

i hope that helps!

PLEASE HELP!!
Does anyone know how to answer this question correctly

Answers

not enough information to tell really but seems like both of those above should be your answer

HELP!!
Are triangles RST and RDC congruent?

A. Yes by AA

B. Yes by SSS

C. Yes by SAS

D. They are not similar

Answers

Answer: D

Step-by-step explanation: I did that exact same thing!!

Molly and Maddie are clothes shopping. Molly has $100.00 and a coupon for a $5.00 discount at a clothing store where each shirt costs $15.00. Molly thinks that she can buy 8 shirts, but Maddie says that Molly can buy 7 shirts. The equations they used to model the problem are listed below.

Solve each equation algebraically, justify your steps, and determine who is correct and why.

Molly's equation
15x + 10 = 100

Maddie's equation
15x - 10 = 100

Answers

Step-by-step explanation:

let us start with

Molly's equation

15x + 10 = 100

solving for x we have

15x=100-10

15x=90

x=90/15

x=6

Maddie's equation

15x - 10 = 100

solving for x we have

15x=100+10

15x=120

x=120/15

x=8

well, from the solution niether of them is correct

hElP plS anD tY :}

I will give brainliest if I can (only to the first person who answers)

Answers

Answer:

the shark can swim 45 mph and the scuba diver can only swim 20. What is the difference between the speeds of the shark, and the scuba diver?

Answer:

fbejfbe

give brainliest pls??

Step-by-step explanation:

imnogay i promise please forgive me

Answers

Answer:The distance between -2, and 8 is 10

The distance between 4 and 1 is 3

Step-by-step explanation:

will give brainliest for correct answer

Answers

Answer:90

Step-by-step explanation:

Choose the scenario below that matches this number sentence:

27 ÷ 5

A) 27 people share 5 bags of chips.
B) 5 people share 27 brownies.

Answers

Step-by-step explanation:

B 27 bags of chips by 5 people

Answer:

B) 5 people share 27 brownies.

Step-by-step explanation:

This is the answer because:

1) If 5 people are sharing 27 brownies, it means they are basically asking, how many brownies did each person get. Then, we would write the numerical sentence: 27 ÷ 5 because we want to know how many brownies each person got.

Hope this helps! :D

please help fast! i will give brainliest

Answers

Answer:

0.39

Step-by-step explanation:

Answer:

1.87

Step-by-step explanation:

What are the distances in feet covered in for step 6 steps twelve steps and 30 steps type your answer in the table. I need answers asap.​

Answers

Answer:

instantly Converts Feet to Steps and Many More Length Conversions Online. ... 1 Step: The distance covered by a single step assuming a stride length of 0.762 meters or 2.5 feet. Although stride length ... 6 Feet to Steps = 2.4, 300 Feet to Steps = 120. 7 Feet to ... 30 Feet to Steps = 12, 1,000 Feet to Steps = 400. 40 Feet

Step-by-step explanation:

can i please get a brainliest and a thank you please

Which describes the slope of the given line?

A. Zero
B. Unidentified
C. Negative
D. Positive

Answers

Answer:

Option C (Negative)

Step-by-step explanation:

A line with a negative slope goes downward from the left side of the graph to the right side.

A positive line would be the opposite; the line goes upward form left to right.

A horizontal line has zero slope. A vertical line has undefined slope.

The given line has the line going downward.

Option C should be the correct answer.

Hope this helps.

Answer:

C. Negative

Step-by-step explanation:

the line moves from left to right(it's going down) meaning it has a negative slope.

I hope this helps! :)

A sculptor is designing her new triangular masterpiece. In her scale​ drawing, the shortest side of the triangular piece to be made measures 9cm The longest side of the drawing measures 37cm The longest side of the actual triangular piece to be sculpted must be 16.3m long. How long will the shortest side of this piece​ be?

Answers

Answer:

396.5cm or 3.965m

Step-by-step explanation:

A sculptor is designing her new triangular masterpiece. In her scale​ drawing,

Scale Drawing

The shortest side = 9cm

The longest side = 37cm

Actual Drawing

The longest side of the actual triangular piece= 16.3m long.

We convert from meter to cm

1m = 100cm

16.3m =

Cross Multiply

= 16.3 m × 100cm/m

= 1630cm

How long will the shortest side of this piece​ be?

Let the shortest side be represented by x

9/37 = x/1630

Cross Multiply

37x = 9 × 1630

x = 9 × 1630/37

x = 396.48648649cm

≈ 396.5cm

Or converting to meter

= 396.5cm/100

= 3.965m

Liam is constructing a square in which two of its vertices are points A and B. He has already used his straightedge and compass to construct the lines and arcs shown.

What should Liam do for his next step?

A. Place the point of the compass on point A and draw any arc above it.

B. Use the straightedge to draw a horizontal line that contains point E.

C. Use a straightedge to draw AE¯¯¯¯¯.

D. Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using ​AB​ as the width for the opening of the compass.

Answers

Answer:

Step-by-step explanation:

B

Answer:

The correct answer is D.

D) Place the point of the compass on point B and draw an arc that intersects BE¯¯¯¯¯, using ​AB​ as the width for the opening of the compass.

Step-by-step explanation:

You extend your compass the width of line AB and then place the compass point on point B, create an arc on point E.

Then, without adjusting the compass expansion, proceed to do the same on point A. Point of compass on point A, create arc above. Etc

I hope this helps!

​Hank's pickup can travel 65 miles on 5 gallons of gas. How many gallons will​ Hank's pickup need to travel 39 ​miles?

Answers

Answer: 3 Gallons

Step-by-step explanation:we divide 65 by 5 and it comes out to 13 so 13 is our miles per gallon and we divide it by 39 and end up with 3 gallons

WILL GIVE BRAINLIEST : Please calculate the following:

How many jelly beans fit in a one quart jar?

How many chips are in a batch of chocolate chip cookies?

Write out your calculations.

Answers

Answer:

804, the second one depends how many chips the chocolate chip cookies have in each

Step-by-step explanation:

n - 4 = 3n + 6
what number does n represent?

Answers

Answer:

n = -5

Step-by-step explanation:

n - 4 = 3n + 6

n = 3n + 10

-2n = 10

n = -5

Answer:

-5

Step-by-step explanation:

Lets start by combining some common terms. -4 can be brought over to the right as +4 and 3n can be brought to the left as -3n to make the statement -3n +n = 6+4

Simplifying that, we get -2n = 10

Dividing 10 by -2, we get n = -5

Consider matrix A.

What matrix results from the elementary row operations represented by -2R2 + 3Rı?
Enter your answer by filling in the boxes.

Answers

I misread the question. Had the elementary row operations been represented by -3R2 + 4R1, then the answer would have been,

-36   23   -1

8       -1     3

hopefully this will still help some of you

PLS HELP 50 POINTS I WILL GIVE BRAINLIEST
Assume the vertical lines are parallel. Find the measures of angles 1-15.

Answers

1. 12
2. 50
3. 40
4. 30
5. 70
6. 50
7. 60
8. 40
9. 40
10. 40
11. 50
12. 130
13. 140
14. 40
15. 140

Find the 62nd term of the arithmetic sequence -27, -21, -15

Answers

it’s 339 if u keep adding 6 until the 62th term

The 62nd term of the arithmetic sequence -27, -21, -15 is 339

Arithmetic sequence

The nth term of an arithmetic sequence is expressed as:

Tn =a+(n-1)d

Given the sequence -27, -21, -15

a is the first term = -27

d is the common difference = -21 + 27 = 6
n = 62

Substitute

T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)

T62 = -27 + 366
T62 = 339

Hence  the 62nd term of the arithmetic sequence -27, -21, -15 is 339

Learn more on sequence here: https://brainly.com/question/6561461

#SPJ2

Problem 16-05 To generate leads for new business, Gustin Investment Services offers free financial planning seminars at major hotels in Southwest Florida. Gustin conducts seminars for groups of 25 individuals. Each seminar costs Gustin $3300, and the average first-year commission for each new account opened is $5100. Gustin estimates that for each individual attending the seminar, there is a 0.01 probability that he/she will open a new account. Determine the equation for computing Gustin’s profit per seminar, given values of the relevant parameters. Round your answers to the nearest dollar. Profit = (New Accounts Opened × $ 5100 ) – $ 3300 What type of random variable is the number of new accounts opened

Answers

Answer:

1) The equation for computing Gustin's profit per seminar is given as follows;

The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost

2) The number of new accounts is a continuous random variable

Step-by-step explanation:

1) The number of individuals that attend each of Gustin's seminar = 25 individuals

The cost of each seminar = $3,300

On average the commission on the first-year for each opened account = $5,100

The probability of opening an account by an attendee of each seminar = 0.01

The profit = Revenue - The cost of each seminar

The revenue = (The number of Newly Opened Accounts) × (Commission on each account)

∴ The revenue = (The number of Newly Opened Accounts) × $5100

Therefore, the equation for finding Gustin's profit per seminar is given as follows;

The profit = (The number of Newly Opened Accounts) × Commission - Seminar cost

The profit = (The number of Newly Opened Accounts) × $5100 - $3,300

The number of Newly Opened Accounts = (The number of attendee) × (The probability of an attendee opening an account)

The number of Newly Opened Accounts = 25 × 0.01 = 0.25

The number of Newly Opened Accounts = 0.25

The profit = 0.25 × $5100 - $3,300

The revenue = 0.25 × $5100 = $1,275

The profit = $1,275 - $5,100 = -$3,825 = ($3,825)

2) The number of Newly Opened Accounts = 0.25 which gives, that Gustin has to conduct 4 seminars to be sure of 1 new account, which represents a probabilistic variable which is the definition of a continuous random variable.

Therefore, the number of new accounts is a continuous random variable.

Old Man Withers just died. He left his collection of baseball cards to his two sons. Bill got 55% of the collection and his brother Bob received the rest.

How many cards did Bill receive if Bob received
360 cards, then how many cards did Bill as inheritance from his father?

Answers

Answer:

Step-by-step explanation:

Bill = 55% of the entire collection

Bob = 45% of the entire collection (Since we know 100 - 55 = 45)

We are also told that Bob received 360 cards.

This means that 45% = 360 cards.

First step is to find how many cards is 1%. To do this, divide 360 by 45.

1% of entire collection = [tex]\frac{360}{45} = 8[/tex] cards

This means that since Bill gets 55% of the entire collection, you multiply 8 by 55.

Bill = 8 x 55 = 440 cards.

Answer:

440

Step-by-step explanation:

given the weekly demand curve of a local wine producer is p= 50-0.1q, and that the total cost function is c= 1500+ 10q, where q bottles are produced each day and sold at a price of $p per unit. a)Express the weekly profit as a function of price.b) at what price must a bottle of wine be sold to realise maximum profit. c) what is the maximum profit that ca be made by the producer

Answers

Answer:

a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

Step-by-step explanation:

The weekly demand curve of a local wine producer is p= 50-0.1q

p = price

q = quantity

Revenue function R =Price \times Quantity

R=(50-0.1q)q

[tex]R=50q-0.1q^2[/tex]

Cost function: c= 1500+ 10q

Profit function=R(x)-C(x)

Profit function= [tex]50q-0.1q^2-1500-10q[/tex]

Profit function= [tex]40q-0.1q^2-1500[/tex]   ----1

We have q = 500 - 10 p using p = 50 − 0.1q

[tex]P=-0.1 (500 - 10 p)^2 + 40 (500 - 10 p)- 1500\\P= -10 p^2 + 600 p - 6500[/tex]

General quadratic equation:[tex]ax^2+bx+c=0[/tex]

On comparing

a = -0.1 , b = 40 , c = -1500

Maximum Profit is at q = [tex]\frac{-b}{2a}=\frac{-40}{2(-0.1)}=200[/tex]

To find price must a bottle of wine be sold to realise maximum profit

p= 50-0.1q

p= 50-0.1(200)=30

Substitute the value of q in profit function(1) get the maximum profit

So, Profit function= [tex]40\left(200\right)-0.1\left(200\right)^{2}-1500=2500[/tex]

Hence

a)the weekly profit as a function of price is[tex]P=-10 p^2 + 600 p - 6500[/tex]

b) a bottle of wine be sold at $30 to realise maximum profit

c) the maximum profit that can be made by the producer is $2500

if the temperature is 50 degrees Fahrenheit what is the temperature in celsius

Answers

Answer:

10.00 °C

Step-by-step explanation:

Answer:

50 degrees Fahrenheit is 10 degrees Celsius

Step-by-step explanation:

(50°F − 32) × 5/9 = 10°C

Write a fraction whose equivalent decimal number is a terminating decimal. Write the equivalent decimal.

Answers

a. 1/4

b. 0.25

think long division

4 goes into 1 zero times

4 goes into 10 2 times with 2 left over.

bring down a zero

4 goes into 20 5 times

since a decimal was needed to show the quotient being less than 1, the quotient is 0.25

ya welcome bess frein

Answer:

Step-by-step explanation:

a. 1/4

b. 0.25

Anagha's mother bought an equal number of ladoos and pedas. She put 13 of the ladoos and 15 of the pedas into a packet and gave it to Anagha to distribute at school. If there were a total of 80 sweets in the packet, how many ladoos did Anagha's mother buy?

Answers

Answer:

150

Step-by-step explanation:

Anagha's mother bought an equal number of ladoos and pedas. Let there are x number of ladoos and pedas.

She puts x/3 of the ladoos and x/5 of the pedas into a packet and gave it to Anagha to distribute at school.

Total no of sweets in the packet = 80

[tex]\dfrac{x}{3}+\dfrac{x}{5}=80\\\\\dfrac{5x+3x}{15}=80\\\\\dfrac{8x}{15}=80\\\\x=\dfrac{80\times 15}{8}\\\\x=150[/tex]

So, there are 150 ladoos brought by Anagha's mother.

12 Which numbers are irrational? Choose all that apply.
A √ 26
B 5.87
C √ 144
D 2.161161116...
E 2/3

Answers

option a and option d

The function y = -16t+ 40 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places. ​

Answers

Answer: The water fountain shoots water from a height of 6 ft.

Step-by-step explanation: When looking at a Quadratic Function on a graph it looks like a U (this one would be a upside down U).  The top of that U is the Vertex. (keep in mind the question revolves around the X-Intersect)

A water droplet reaches its maximum height after 6 s IS WRONG

Talking about the VERTEX

It takes 6 s for a water droplet to rise and fall back to the ground IS WRONG

This is talking about the WHOLE Parabola

A water droplet reaches a maximum height of 6 ft. IS WRONG

This is also talking about the VERTEX

Mr.Brown paid $754.40 for four plane tickets.How much did each plane ticket cost?

Answers

Answer:

188.60

each plane ticket cost 188.6

Step-by-step explanation:

754.40 divided by 4 =188.6

Answer:

188.60

Step-by-step explanation:

754.40÷4=188.60

How did the Yuan dynasty contribute to the rebellion that eventually
overthrew the dynasty?
O A. The Yuan government discriminated against the Chinese and
suppressed their culture.
B. The Yuan government was Confucian, and the people had turned
against Confucianism.
C. The Yuan government had begun indiscriminately killing Chinese
people in the streets.
O D. The Yuan government had entered into unfavorable trade
agreements for the Chinese.

Answers

Answer:

a

Step-by-step explanation:

thats what i put and got it right

Other Questions
A1 plumbing service charges $35 per hour plus a $25 travel charge for a service call. Good guys plumbing repair charges $40 per hour for a service call with no travel charge. How long must a service call be for the two companies to charge the same amount? Describe the Doppler Effect. Explain how it is used in Astronomy in term of red shift and blue shift explain what natural selection is and how it occurs Just before Laertes dies, he says to Hamlet, "Exchange forgiveness with me, noble Hamlet: / Mine and my father's deathcome not upon thee, / Nor thine on me!" What is the best interpretation of Hamlet's reply, "Heaven make thee free of it!"in the last scene of the play?1)Hamlet does not think that Laertes deserves his forgiveness2)Hamlet believes that he cannot do for Laertes what only God can do.3)Hamlet scorns Laertes' request as too little, too late.4)Hamlet reconciles with Laertes. Can you use the same multiplication fact to find 4x60 and 3x80 What is the solution to this equation?2x + 3 = x 4 If the perimeter of this isosceles triangle is at most 45 centimeters, which inequality could be used to find the value of p?4p - 6 < 457p - 12 < 456p - 12 < 455p - 6 < 45 how does coriolis effect affect the climate zones in the world? PLEASE HELP! I WILL GIVE BRAINLY TO PROPER ANSWER! evaluate x2+x-12y2 for x = 5 and y =2 DIRECTIONS: Read each sentence. Determine the meaning of the word using clues from thesentence or knowledge you already have. Then explain what it was that helped you find themeaning of the word.1. When parents said she go to the party, she got all melodramatic, began tocry and accusing her parents of wanting her to be a social failure.What does it mean? ___________________________________________________________2. Several days after Rory had already been blamed and punished for what Tom had done, Tombegan to feel his first, sharp pangs of remorse. What does it mean? _____________________________________________________________3. Allen so often made jokes about things, and failed to take things seriously, that at first it washard for the others to believe that this time he was being earnest. What does it mean? _____________________________________________________________4. demeanor was such that only people who knew her really, really well could tell whensomething was bothering her.What does it mean? _____________________________________________________________5. The team rallied around their star player, even though now that his leg was broken, thechances of winning the championship were dismal. What does it mean? consider the following figure identify the zeros of f(x) = (x + 9)(x 4)(6x + 1). write down the similarities and differences of Continental and temperature climatic zones A wave has a frequency of 8 Hz, how long is the period?A 16B .125C 64D 8 show me the venn diagram plssssss help me on this i really need helpExamine the satellite picture showing land formations. Which regions of New Mexico contain the most mountain ranges? Which regions of New Mexico are probably mostly desert? After the Boston Tea Party, Parliament passed a series of four measures designed to punish Massachusetts known as the Multiply. Enter the product in simplest form.3/4 x 2 Read the paragraph which phrase best shows that the meteors are swift and forceful? Express the shaded area as a fraction, a decimal, and a percent of the whole.