Which graph shows all the values that satisfy 2/9x + 3 > 4 5/9 ?​

Answers

Answer 1

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In graphing inequalities, the first thing to do is graph the equation first irregardless of the inequality symbol. In the given problem, the equation to be graphed is f(x) = 2/9x + 3. Since it has a general form of y=mx + b, this is a linear function. Plot the graph by assigning arbitrary points of x, then you get the corresponding f(x) values. Graph the x values against the f(x) values. The blue line the attached picture will be formed.

Next, you solve the equation by finding x. Just don't mind the inequality symbol:

2/9 x + 3 > 4 5/9

2/9x > 4 5/9 - 3

2/9x > 14/9

x > 14/9 ÷ 2/9

x > 7

Hence, the value of x must be greater than 7. To show this in the graph, find the line where x=7. Create a partition using that line, then shade the rest of the portion where x is greater than 7 until infinity.

Hoped I helped

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Related Questions

Patty is a customer service representative for a company. She earns $18 an hour, plus an additional $2.50 each time one of her customers completes a company survey. This week, Patty plans to work 38 hours. If Patty wants to earn at least $750 this week, which inequality could she solve to find the number of surveys, s, she needs her customers to complete this week? A. 18(s+2.5)>750 B.18(2.5s + 38) >/= 750 C.18(38) +2.5s >/= 750 D.20.5s > 750

Answers

Answer:

C.18(38) +2.5s >/= 750

Step-by-step explanation:

If Patty earns $18 an hour, plus an additional $2.50 each time one of her customers completes survey and Patty plans to work 38 Hours then the inequality which shows the earning of atleast $750 is 18(38)+2.5s>=750 which is option C.

What is inequality?

Inequality is like an equation which shows the relationship between two or more variables but it is expressed in greater than, less than, greater than or equal to, less than or equal to signs.

How to form inequality?

We have been given that the number of surveys is s.

Earning on the basis of hours=18*38

Earning from customer's survey=s*2.50

Earning required by Patty=$750

Inequality which shows atleast $750 earning of Patty is :

18*38+2.50s>=750

we have to use greater than sign because the earning that Patty wants to earn is atleast 750 so it can be equal to or more than 750 dollars.

Hence the inequality will be 18(38)+2.5s<=750.

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PLEASE ANSWER QUICKLY! MATH: mr. Sanford left half of hi fortune to April, his daughter. he left half of the remaining half to his Uncle Jed. He left half of the remaining half to charity. He left the remaining $30,000 to the local animal shelter. What was the total amount of Mr. Sanford’s fortune.

Answers

Answer:

$240,000

Step-by-step explanation:

Mr. Sanford's fortune is x

He left 1/2x to daughterHe left 1/2*1/2x = 1/4x to Uncle JedHe left 1/2*1/4x = 1/8x to charityHe left the remaining $30,000 to the local animal shelter.

Then we got the equation:

x = 1/2x + 1/4x + 1/8x + 30000x = 7/8x + 300001/8x = 30000x= 8*30000x= $240000

Mr. Sanford’s fortune was $240,000

Jika suku pertama suatu barisan geometri = 16 dan suku ketiga = 36, maka besar suku kelima adalah …..

Answers

Answer:

Suku ke 5 adalah 56

Step-by-step explanation:

Harap jawapan tersebut betul

What is 2x-6 = 3x+1-X-7 and you have to regroup/ divide by number next to x?

Answers

Answer:

infinite solutions

Step-by-step explanation:

2x-6 = 3x+1-X-7

Combine like terms

2x-6 = 3x-x +1-7

2x-6 = 2x -6

subtract 2x from each side

-6 = -6

Since this is a true statement, x can be any real number

ASAP please help me!!

Answers

Answer:

A = –3

B = 7

Step-by-step explanation:

[(10x³y⁵)(4x²y¯²)/20x¯⁴yᵇ]ᵃ = y¹²/8x²⁷

The value of a and b can be obtained as shown in the attached photo.

A two-digit number is 3 times the sum of the digits. If the digits are reversed, the new number formed is 9 less than three times the original number. What is the two-digit number?

Answers

Answer:

27

Step-by-step explanation:

2+7=9.

9x3=27

72+9=81

27x3=81

Peter wants to buy a coat that costs $87 at full price.The coat is now on sale for 40% off


Part A: Explain how Peter can use the fact that 10% of $87 is $8.70 to find the amount he will save on the coat


Part B: Use the same method to find the amount Peter would save on a $64 coat that is on sale for 40% off

Answers

Answer:

Step-by-step explanation:

Peter can use the 10% of 80 to find 40% by multiplying the 8.7 by 4 because if 10% =8.7  then multiply 8.7 by 4 which is = 34.8  now subtract this from the total, 87-34.8= 52.2 so 40% of 87 is 52.2.

To find out b we need to find out 10% of 64, so we move the decimal which is 6.4, then multiply 6.4 by 4 which is 25.6. then subtract this from the total, 64-25.6= 38.4

Given the following three points, find by hand the quadratic function they represent.
(-1,-8), (0, -1),(1,2)
(1 point)
O f() = -5x2 + 8x - 1
Of(x) = -222 +50 - 1
O f(x) = -3.x2 + 4.0 – 1
O f() = -3x2 + 10x - 1​

Answers

Answer:

The equation is;

f(x) = -2·x² + 5·x - 1

Step-by-step explanation:

The general form of a quadratic equation  or function f(x) is, f(x) = y = a·x² + b·x + c

Given that the points representing the quadratic function are;

(-1, -8), (0, -1), (1, 2) which  are of the form (x, y)

When x = -1, f(x) = y = -8

Plugging in the above values into the general form of a quadratic function, we have;

-8 = a·(-1)² + b·(-1) + c = a - b + c

-8  = a - b + c.........................(1)

When x = 0, y = -1, we have;

-1 = a·(0)² + b·(0) + c = c

c = -1.......................................(2)

When x = 1, y = 2, which gives;

2 = a·(1)² + b·(1) + c = a + b + c

2 = a + b + c........................(3)

Adding equation (1) to equation (3), we have;

-8 + 2 = a - b + c + a + b + c

-8 + 2 = 2·a + 2·c

From equation (2) c = -1, we get;

-8 + 2 = -6 = 2·a + 2·c = 2·a + 2 × (-1)

-6 = 2·a - 2

-4 = 2·a

a = -2

From equation (3), we have

2 = a + b + c

Substituting the values of a, and c gives;

2 = -2 + b - 1

b = 2 + 2 + 1 = 5

b = 5

The equation is therefore;

f(x) = -2·x² + 5·x - 1.

Answer:

b

Step-by-step explanation:

Which graph shows the solution to the system of inequalities below?

Answers

Is there a picture to the problem?

Write each equation in standard form. Identify A, B, and C.

43. y=12x

44. -4y=3x-24

45. 4x=8y-12

46. Word problem: The distance the Green family traveled during their family vacation is given by the equation y=65x, where x represents the number of hours spent driving. How far does the Green family travel in 8 hours?

Answers

Answer:  The answers are in the steps.

Step-by-step explanation:

A standard form equation says that Ax + By=C

SO we have to set all the equations to be like that.

43.  y = 12x     Subtract 12x from both sides.

    -12x + 1y = 0      In this case -12  is A, 1 is B , and 0 is C.

44 .  -4y =3x -24      subtract 3x from both sides

     -3x - 4y = -24     A is -3 , B is -4, and  C is -24  

45. 4x = 8y - 12         Subtract 8y from both sides.  

   -8y     -8y

  4x - 8y = -12         A is 4, B is -8 and C  is -12  

46. If we are given the equation y=65x and x represent the number of hours spent driving. And it says that how far do you travel in 8 hours then plot 8 into the equation for x and solve for y.

y = 65(8)

y= 520  

They traveled 520 miles in 8 hours .

Si una llave vierte 6 1/3 litros de agua por minuto, ¿cuánto tiempo tardará en llenar un depósito de 88 2/3 litros de capacidad?

Answers

Answer: 14 minutes

Step-by-step explanation:

Given: A tap pours [tex]6\dfrac13[/tex] liters of water per minute.

To find : Time taken to fill an[tex]88 \dfrac23[/tex] liters capacity tank.

which is given by :-

Time = [tex]88 \dfrac23\div 6\dfrac13[/tex] minutes

[tex]=\dfrac{3\times88+2}{3}\div\dfrac{3\times6+1}{3}[/tex]  minutes

[tex]=\dfrac{266}{3}\div \dfrac{19}{3}[/tex] minutes

[tex]=\dfrac{266}{3}\times\dfrac{3}{19}[/tex]  minutes

[tex]=\dfrac{266}{19}=14\text{ minutes}[/tex]

Hence, it will take 14 minutes to fill an[tex]88 \dfrac23[/tex] liters capacity tank.

What is the domain of g?

Answers

Answer:

{ x | -7 ≤ x ≤ 4 }

Step-by-step explanation:

Given the points R (6,-2) and T (-9,- 7), find the coordinates of point S on line RT such that the ratio of RS to ST is 3 : 2​ plz help

Answers

Answer:

(-3, -5)

Step-by-step explanation:

By using the distance formula, we see that the length of RT is [tex]\sqrt{(6+9)^2+(-2+7)^2}[/tex] which equals [tex]5\sqrt{10}[/tex].

The ratio of RS to ST is 3:2, so we can write the distance of RS as [tex](5\sqrt{10} / 5) * 3[/tex] which equals [tex]3\sqrt{10}[/tex]. The distance of ST is then [tex]2\sqrt{10}[/tex].

Since we know the distance of RS and ST, we can find the coordinates of point S by using the distance formula again:

[tex]\sqrt{(6-x)^2+(-2-y)^2} = 3\sqrt{10}[/tex] and [tex]\sqrt{(-9-x)^2+(-7-y)^2} = 2\sqrt{10}[/tex]

We solve for x and y, getting (-3, -5).

The required coordinate point s is (-3, -5).

Given that,
The points R (6,-2) and T (-9,- 7).
To find the coordinates of point S on line RT such that the ratio of RS to ST is 3: 2​

What is coordinate?

Coordinate, is represented as the values on the x-axis and y-axis of the graph

Here,
Let the coordinates of s be (x, y)
Applying the section formula,
x = [mx₂ + nx₁]/ m+n   ; y = [my₂ + ny₁]/ m+n
Since, m = 3 n = 2,
x = [3*-9 + 6*2] / 3 + 2 ; y = [-7*3 + -2*2] / 3 + 2
x = [-27 + 12] / 5          ; y =  [-21 - 4]/ 5
x = [-15] / 5                  ; y = -25 / 5
x = -3                          ; y = -5

Thus, the required coordinate point s is (-3, -5)

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Solve the equation. 1 w = -17

Answers

Answer:

This equation is solved w=-17

Step-by-step explanation:

Hope it will help :)

Answer:

w = -17

Step-by-step explanation:

Which of the following best describes the term constructions in geometry?
A: Combining two or more figures together to create a new figure or shape.
B: A way to draw precise figures using a compass and a straightedge.
C: Creating a figure or shape by hand.
D: Places where things are being built that often slow down traffic.

Answers

Answer:

B: A way to draw precise figures using a compass and a straightedge.

Step-by-step explanation:

In geometry, the term 'construction' refers to the draw geometrical shapes and figures accurately. The lines, angles, figures, and shapes are drawn with the help of a compass, ruler, and pencil. Arcs and lines are drawn neatly and angles are constructed. The lines and shapes are constructed without known lengths or angles with the help of the compass, pencil, and ruler.

Write the sentence as an equation the product of 187 and n is the same as 264

Answers

Answer:

i would like to  say you divide but not shure im just starting 8th grade but good luck

Step-by-step explanation:


Pedro can make $55 in three days mowing lawns. At that rate, how many days will it take him to make $220?

Answers

Answer:

I got 12.

Step-by-step explanation:

Divide 55 by 3 to get the amount he makes each day (18.333333, which rounds to 18.33)

Divide the amount he wants to earn by the amount he earns each day (12.00218221, which rounds to 12)

Answer:

12 days

Step-by-step explanation:

First we need to find how much he makes in 1 day:

if $55 in 3 days that means 55/3=$18.33 a day

now 220/18.33≈12 days

Binomial (x - 6) and trinomial (-2x2 + x + 9) are the factors of which of the
following polynomials?
2x^3+12x-3x+54
-2x^2+15
-2x^3+13x^2+3x-54
O 2x^2-3

Answers

Answer:

Option (3)

Step-by-step explanation:

If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.

(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)

                              = -2x³ + x² + 9x + 12x² - 6x - 54

                              = -2x³ + 13x² + 3x - 54

Therefore, Option (3) will be the correct option.

convert 8 7/8 to an improper fraction

Answers

Answer:

71/8

Step-by-step explanation:

8 ⅞ = 71/8

How?

8 × 8 + 7 = 71

Which is 71/8.

Answer:

Hey there! :)

Step-by-step explanation:

~ Answer is 71/8 ~

There is two ways you can do this, they are provided below :)

Steps in order to solve this question!:

~1. First you have to multiply the denominator by the whole number

(The denominator is 8, and the whole number is 8 too)

So, 8x8=64

~2. Next you have to take the 64 and add it to the 7 which is the numerator of 8 7/8.

64+7=71

~3. The answer is 71/8. The denominator is 8 because the denominator never changes.

………………………………………………………………………………………………

Another way you can do this:

8x8+7

_____ <= And this is how we get 71/8

8

~Therefore the answer is 71/8.

~Hope this helps!

(If you still don’t understand than ask for help! You can ask me if you don’t understand any of the steps!)

I would be glad to answer any questions you have about this problem. :D

Un terreno ha sido cultivado con tres variedades de claveles. La sexta parte ha sido sembrada por
claveles rojos, la cuarta parte por claveles amarillos y el resto por claveles blancos.
Actividad 1

1 ¿Qué parte del terreno se sembró con claveles rojos y amarillos? Utilice el espacio para hacer
el proceso.

Answers

Answer:

1) Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos, 2) Se siembra siete doceavas partes del terreno con claveles blancos.

Step-by-step explanation:

El enunciado se encuentra incompleto. La pregunta faltante es:

2 ¿Qué parte del terreno corresponde a los claveles blancos?

1) Sea [tex]A[/tex] el área total sembrada con los tres tipos de claveles. Entonces, las áreas sembradas con claveles rojos y claveles amarillos son [tex]\frac{1}{6}\cdot A[/tex] y [tex]\frac{1}{4} \cdot A[/tex], respectivamente.

El área sembrada con claveles rojos y amarillos se obtiene al sumar las áreas correspondientes, es decir:

[tex]x = \frac{1}{6}\cdot A + \frac{1}{4}\cdot A[/tex]

[tex]x = \left(\frac{1}{6}+\frac{1}{4}\right)\cdot A[/tex]

[tex]x = \left(\frac{4+6}{24} \right)\cdot A[/tex]

[tex]x = \frac{10}{24}\cdot A[/tex]

[tex]x = \frac{5}{12}\cdot A[/tex]

Se siembra cinco doceavas partes del terreno con claveles rojos y amarillos.

2) El área sembrada con claveles blancos se obtiene al sustraer el área obtenida en el punto anterior del área total. Esto es:

[tex]x = A - \frac{5}{12}\cdot A[/tex]

[tex]x = \left(1-\frac{5}{12} \right)\cdot A[/tex]

[tex]x = \left(\frac{12}{12}-\frac{5}{12} \right)\cdot A[/tex]

[tex]x = \left(\frac{12-5}{12} \right)\cdot A[/tex]

[tex]x = \frac{7}{12}\cdot A[/tex]

Se siembra siete doceavas partes del terreno con claveles blancos.

Answer:

Step-by-step explanation:

>:C

Write an expression to represent any angle coterminal with the angle 170° (n is an integer).Write an expression to represent any angle coterminal with the angle 170° (n is an integer).

Answers

Answer:

  angle = 170° + n·360°

Step-by-step explanation:

Any angle that is a multiple of 360°, added to 170° will be coterminal with 170°:

  angle = 170° + n·360°

Answer:

55

Step-by-step explanation:

11) A train leaves town A at 17 45 hours on Wednesday and arrives town B after travelling for 10 hours 30 minutes.At what time and day, the train arrived at town B? *
A. 03 15 hours Thursday
B. 04 15 hours Thursday
C. 04 45 hours Thursday
D. 03 45 hours Thursday

Answers

B. 04:15 hours Thursday

Find m21, mZ2, and m/3.
359
2
1 =
2 =
3 =

Answers

Answer:

1=145°

2=35°

3=145°

Step-by-step explanation:

A straight line always measures 180°

35°+a=180°

a=180°-35°

a=145°

Therefore <1=145°

a=<1=145°

b=<2

a+b=180°

145°+b=180°

b=180°-145°

b=35°

b=<2

c=<3

b+c=180°

35°+c=180°

c=180°-35°

c=145°

Hope this helps ;) ❤❤❤

Let me know if there is an error in my answer.

Show work pls!!!!!!!!!!

Answers

Answer:

67

Step-by-step explanation:

Step 1: Write out equation

8/r + 9b

Step 2: Define variables

r = 2

b = 7

Step 3: Replace variables

8/2 + 9(7)

4 + 63

67

6x – у = -9
—12х – 4 y = 0

Answers

Answer:

-15

3

Step-by-step explanation:

6x-y=-9

6x-(15)=-9

-12x-4y=0

-12x-4(3) =0

-12-12=0

given a20=100 and a50=400 identify the common difference “d”

Answers

Answer:

a20=a+19d

or,100=a+19d

or, a=100-19d--------(I)

again,

a50=a+49d

or, 400=a+49d

or, a=400-49d--------(ii)

equating equations,we get

100-19d=400-49d

or, 30d=300

so, d=10

Step-by-step explanation:

plz mark it as brainliest

A pool measures 15 feet by 17 feet. A cement walkway is added around the pool, to both the width and the length. The area of the pool and the cement walkway is now 483 square feet. What is the width of the cement walkway?

Answers

Answer:

3 feet

Step-by-step explanation:

The diagram showing the pool and the walkway has been attached to this response.

The area of the pool = 15feet x 17 feet = 255 square feet

The total area of the pool and the walkway = 483 square feet

The area of the walkway is the difference between the total area and the area of the pool. i.e

Area of walkway = total area - area of pool

Area of walkway = 483 - 255 = 228 square feet

Now, from the diagram, the walkway can be seen as four rectangles - A, B, C and D - all with a width of x.

Area of rectangle A = (17 + 2x) * x = 17x + 2x²

Area of rectangle B = (17 + 2x) * x = 17x + 2x²

Area of rectangle C = 15 * x = 15x

Area of rectangle D = 15 * x = 15x

Area of walkway = Area of rectangle A + Area of rectangle B + Area of rectangle C + Area of rectangle D

228 = [17x + 2x²] + [17x + 2x²] + [15x] + [15x]

228 = 64x + 4x²

4x² + 64x - 228 = 0

Divide through by 4

x² + 16x - 57 = 0

Now let's solve the quadratic equation:

x² - 3x + 19x - 57 = 0

x(x - 3) + 19(x - 3) = 0

x - 3 = 0     or     x + 19 = 0

x = 3          or      x = -19

Since width cannot be negative, the correct solution is x = 3

Therefore, the width of the walkway is 3 feet

What is x in these equations a) x+4= 7² - 6 b) x+ √4 + 19= 4x +9

Answers

Answer:

a) 39

b) 4

Step-by-step explanation:

[tex] {7}^{2} = 7 \times 7 = 49[/tex]

the answer to the question would be 4

Terrance makes $12.50 per hour doing landscaping and earned $275 this
week. How many hours did he work?

Answers

Answer:

22 hours

Step-by-step explanation:

pay rate = (amount of money)/time

(pay rate) * time = amount of money

time = (amount of money)/(pay rate)

time = $275/($12.50/hour)

time = 22

Answer: 22 hours

Answer:

22 hours

Step-by-step explanation:

We know that Terrance makes $12.50 per hour and he made $275 a week. We can divide 275 by 12.50 :

275 ÷ 12.50 = 22

So Terrance worked 22 hours

Check answer:

22 x 12.50 = 275

A 11/16-inch-long bolt is used in a machine. What is the length of the bolt written as a decimal? (Please help)

Answers

Answer:

0.6875

Step-by-step explanation:

11 divide 16 and you get 0.6875

Answer:

The answer is 11/16=0.6875.

Other Questions
Which of the following statements are correct? Variable service department costs are charged to operating divisions based on the budgeted rate and budgeted activity. Fixed service department costs are based on actual cost and budgeted activity. Fixed service department costs are based entirely on budgeted data. Variable service department costs are Read the following poem and answer the question that follows. "I Like to See It Lap the Miles" by Emily Dickinson I like to see it lap the miles, And lick the valleys up, And stop to feed itself at tanks; And then, prodigious, step Around a pile of mountains, And, supercilious, peer In shanties by the sides of roads; And then a quarry pare (To fit its sides, and crawl between, Complaining all the while In horrid, hooting stanza; Then chase itself down hill) this one is bolded And neigh like Boanerges; Then, punctual as a star, Stop-docile and omnipotent- At its own stable door. This poem describes a train as if it were a horse. Examine the imagery of the stanza in bold. What does it describe? a The rumbling a train makes as it passes by b The smell of train tracks after a train has gone c The sound a train makes as it blows its horn d The feeling of being on a train for a vacation Which is true for a substance in the gaseous phase? enlarge the subject-word and extend the verb.there should be at least about 12 words in each sentence.1. The river flows.2. The man wandered.3. The miser wept. [PLEASE ANSWER FAST] A submarine is 150 below sea level while an airplane is 375 above sea level. What is the difference between the height of the submarine and the airplane? Who is acknowledged with perfecting the use of engraving plates to transfer printed images to ceramics?JoGroup of answer choicesJosiah WedgwoodDwayne JohnsonCave menBeatrice Wood "An adolescent is to receive radioactive iodine for Graves' disease. Which statement by the client reflects the need for more teaching?" Personnel and not facilities is the bane of quality public primary education. Discuss Two angles are supplementary. The measure of angle 1 is equal to 12x+4 and the measure of angle 2 is equal to 4(2x+5).what is the measure of angle 2? Algebra question down below (screen shot of the question) What is the topic of Aladdin? We have said that strategic management is an evolution and a destination. What does this mean? Discuss in detail what country border Saudi Arabia and Iraq and also has access to Persian gulf The shape of the distribution of the time required to get an oil change at a 10 minute oil change facility is unknown. However, records indicate that the mean time is 11.2 minutes and the standard deviation is 4.8 minutes (a) to compute probabilities regarding the sample mean using the normal model, what size sample would be required? (b) What is the probability that a random sample of n=45 oil changes results in a sample mean time less than 10 minutes? Jupiter, Saturn, Uranus, and Neptune are made up by what gases? 2)Thepopulationofatownwas568.Duringthatyear236personsmigratedtoit.WhatisthepresentpopulationoftheSutown? -4 + (-1) on a number line ASAPPPPP -2.0 * (-3.6) A box contains 84 chocolates, of which 63 are dark chocolate. The rest are milk chocolates. What is the ratio of milk chocolates to the total number of chocolates in the box? A hydraulic press has one piston of diameter 4.0 cm and the other piston of diameter 8.0 cm. What force must be applied to the smaller piston to obtain a force of 1600 N at the larger piston