Give the equation of the line through (9,7) with y-intercept = -5

Answers

Answer 1

Answer:

y = 4/3x - 5

Step-by-step explanation:

y-intercept will be (0,-5)

so m = (y2-y1)/(x2-x1)

m = (-5 -7)/(0 - 9) = (-12)/(-9) = 4/3

Using m = 4/3, y = 7, x = 9

y = mx + b

7 = 4/3(9) + b

7 = 12 + b

b = -5

so

y = 4/3x - 5


Related Questions

Do you know the muffin man?

Answers

A man with muffins heheh

Compute using long division 342÷23

Answers

Answer:

342 ÷ 23 = 14.869565217 or 14 r 20

Check step-by-step explanation below for 2 methods to solve.

14.869565217 method right below

14 r 20 method at the bottom in bold and underlined

Hope this helps :)

Step-by-step explanation:

divisor

↓ ? <------ quotient

23 | 342 <------ dividend

remainder = r (the number that the divisor can't go into.

1) 23 goes into 34 one time, so we write the one on top.

1

23 | 342

2) 23 • 1 = 23 so then we subtract 23 from 34 and get 11.

1

23 | 342

- 23

1 1

3) Now we carry down the 2 and get 112.

1

23 | 342

- 23 ↓

1 1 2

4) 23 goes into 112 four times, so we write the four on top.

1 4

23 | 342

- 23 ↓

1 1 2

5) 23 • 14 = 92 so we subtract 92 from 112 and get 20.

1 4

23 | 342

- 23 ↓

1 1 2

- 92

20

6) 23 can't go into 20 so we add a decinal and a zero to 342 (dividend) and add a decimal to 14 too.

1 4.

23 | 342.0

- 23 ↓

1 1 2

- 92

20

7) Repeat the same steps again (Take the first digit of the dividend from the left. Check if this digit is greater than or equal to the divisor (if greater use it if less than take the next number). Then divide it by the divisor and write the answer on top as the quotient. Subtract the result from the digit and write the difference below. Bring down the next digit of the dividend (if present). Repeat the same process.)

1 4.8

23 | 342.0

- 23 ↓↓

1 1 2

- 92

200

- 1 84

16

8) Keep repeating and then we get 14.8695652174

*However, if the directions say to not continue and add the decimal and zero then we must put a remainer (r).*

1 4 r 20

23 | 342

- 23 ↓

1 1 2

- 92

20

Answer this fraction based Question. I will make you brainliest and provide you 50 points.​

Answers

Part i

6/7 of people are not having a disease, the whole is 1 so the difference is:

1 - 6/7 = 7/7 - 6/7 = 1/7 of the total

Part ii

2/3 of those having a disease is:

1/7*2/3 = 2/21 of the total

Part iii

15 people are the 1/7 fraction of total people referred to quarantine.

The total number is:

15 : 1/7 =  15 * 7 = 105 people

Part iv

3/5 of 105 people are male, that is:

3/5*105 = 63 people

Number of female is:

105 - 63 = 42 people

Answer:

[tex]\sf (i) \quad \dfrac{1}{7}[/tex]

[tex]\sf (ii) \quad \dfrac{2}{21}[/tex]

[tex]\sf (iii) \quad 315\:people[/tex]

[tex]\sf (iv) \quad 126\: females[/tex]

Step-by-step explanation:

Part (i)

If 6/7 of people who are quarantined do not have the disease then the fraction of people that do have the disease is:

[tex]\begin{aligned} \implies 1-\dfrac{6}{7} & =\dfrac{7}{7}-\dfrac{6}{7}\\\\ & =\dfrac{7-6}{7}\\\\ & =\dfrac{1}{7}\end{aligned}[/tex]

Therefore, 1/7 of people in quarantine have the disease.

Part (ii)

We are told that 2/3 of the people who have the disease come from abroad.  Therefore, the fraction of diseased people coming from abroad is 2/3rds of the diseased people:

[tex]\begin{aligned} \implies \dfrac{2}{3} \textsf{ of }\dfrac{1}{7} & = \dfrac{2}{3} \times \dfrac{1}{7}\\\\ & = \dfrac{2 \times 1}{3 \times 7}\\\\ & = \dfrac{2}{21}\end{aligned}[/tex]

Therefore, the fraction of diseased people who have come from abroad is 2/21.

Part (iii)

We are told that 15 people who have the disease do not come from abroad.  So if 2/3 of the people who have the disease come from abroad, then 1/3 of the people who have the disease do not come from abroad.  Remember that 1/7 of the total people have the disease.

[tex]\begin{aligned} \implies \dfrac{1}{3} \textsf{ of }\dfrac{1}{7} & = \dfrac{1}{3} \times \dfrac{1}{7}\\\\ & = \dfrac{1 \times 1}{3 \times 7}\\\\ & = \dfrac{1}{21}\end{aligned}[/tex]

Therefore, 1/21 of the total number of people have the disease and do not come from abroad.

Therefore, 15 people are equal to 1/21 of the total number of people:  

[tex]\implies \sf Total\:number\:of\:people=15 \times 21 = 315[/tex]

Therefore, the total number of people in quarantine is 315.

Part (iv)

If 3/5 of the total are male, then 2/5 must be female.

[tex]\begin{aligned} \implies \dfrac{2}{5} \textsf{ of }315 & = \dfrac{2}{5} \times 315\\\\ & = \dfrac{2 \times 315}{5}\\\\ & = \dfrac{630}{5}\\\\& = 126 \end{aligned}[/tex]

Therefore, 126 females are in quarantine.

Please answer following question in picture

Answers

1. The line passing through (-14,-9) and (7,9) has the equation:

y = 6/7x + 3/2

2.The line passing through (0,-3) and (0,15) has the equation:

since the slope is undefined, hence equation of the line is not formed.

3.The line passing through (-24,-16) and (-8,-6) has the equation:

y = 5/8x - 1

4.The line passing through (-8,-12) and (12,13) has the equation:

y = 5/4x - 2.

Given we have the pair of points, through which we need to determine the equation of the line:

1.  (-14,-9) and (7,9)

first we need to find the slope

(-14,-9) = (x₁,y₁)

(7,9) = (x₂,y₂)

m= y₂₋y₁/x₂₋x₁

= 9-(-9)/7-(-14)

= 18/21

m= 6/7

Use the slope and one of the points to find the y-intercept b:

(7,9) and m= 6/7

substitute in y=mx+b

9=6/7(7) + b

b = 9/6

b= 3/2

now substitute m=6/7 and b= 3/2 in slope intercept form.

y = 6/7x + 3/2

2. (0,-3) and (0,15)

first we need to find the slope

(0,-3) = (x₁,y₁)

(0,15) = (x₂,y₂)

m= y₂₋y₁/x₂₋x₁

= 15-(-3)/0-0

= undefined

hence  we can't frame the equation of the line.

3.  (-24,-16) and (-8,-6)

first we need to find the slope

(-24,-16) = (x₁,y₁)

(-8,-6) = (x₂,y₂)

m= y₂₋y₁/x₂₋x₁

= -6-(-16)/-8-(-24)

= -6+16/-8+24

= 10/16

m= 5/8

Use the slope and one of the points to find the y-intercept b:

(-8,-6) and m= 5/8

substitute in y=mx+b

-6=5/8(-8) + b

b = -1

now substitute m=5/8 and b= -1 in slope intercept form.

y = 5/8x - 1

4. (-8,-12) and (12,13)

first we need to find the slope

(-8,-12) = (x₁,y₁)

(12,13) = (x₂,y₂)

m= y₂₋y₁/x₂₋x₁

= 13-(-12)/12-(-8)

= 25/12+8

= 25/20

m= 5/4

Use the slope and one of the points to find the y-intercept b:

(12,13) and m= 5/4

substitute in y=mx+b

13=5/4(12) + b

b = -2

now substitute m=5/4 and b= -2 in slope intercept form.

y = 5/4x - 2.

hence we get the acquired results.

Learn more about Slope intercept form here:

brainly.com/question/1884491

#SPJ9

Explain that to me will you?

Answers

The values of x satisfying the condition of the quadratic function (f o g)(x) = 17 is; (2, 4)

How to solve quadratic equations?

We are given the functions;

f(x) = 2x - 3

g(x) = x² - 6x + 18

Thus;

(f o g)(x) = 2(x² - 6x + 18) - 3

= 2x² - 12x + 36 - 3

= 2x² - 12x + 33

Now, we want to find the value of x when (f o g)(x) = 17. Thus;

2x² - 12x + 33 = 17

2x² - 12x + 16 = 0

Factorizing this gives us;

(2x - 8)(x - 2) = 0

Thus;

2x - 8 = 0 or x - 2 = 0

x = 4 or 2

Read more about Quadratic equations at; https://brainly.com/question/1214333

#SPJ1

Write a⇀ with magnitude 10 and direction 42° in component form. Round to the nearest tenth.

Answers

The component form of the given magnitude and direction is 7.4 +  6.7i.

What is component form?A vector's component form is the ordered pair that explains the changes in the x- and y-values. A vector v's component form is written as v=vx,vy, where vx represents the horizontal distance between the initial and terminal points and vy represents the vertical displacement between both the initial and terminal points.

To find the component form of  magnitude 10 and direction 42°:
component form = x + iy

r∠α  = rcosα + irsinαx = rcosαy = rsinαr² = x² + y²r = 10α = 42°

Then,

x = 10 cos 42° = 7.43 =  7.4y = 10 sin 42° =  6.69  = 6.7Component form: 7.4 +  6.7i

Therefore, 7.4 + 6.7i is the component form of the given magnitude and direction

Know more about component form here:

https://brainly.com/question/13450744

#SPJ9

Simplify the radical √20​

Answers

It would be 4.472 im pretty sure

These questions are about calculus, I would greatly appreciate your help on both questions! .
asap , please !

Answers

The 107th derivative of f(x) =cos(x) is sin(x).

What is derivative of a function?

The derivative of y = f(x) function is the rate of change of  y  with respect to the independent variable x.

Derivative is represented by [tex]\frac{d}{dx}[/tex] and

First derivative to y is given by  [tex]\frac{d}{dx}f(x) = \lim_{h\to \00} \frac{f(x+h)-f(x)}{h}[/tex]

Second derivative [tex]\frac{d^{2}y }{dx^{2} } = \frac{d}{dx} (\frac{dy}{dx} )[/tex] and so on higher derivatives can be defined.

[tex]\frac{d(sinx)}{dx} = cosx\\\frac{d(cosx)}{dx} = -sinx[/tex]

Given f(x) = cos(x)

Then the first derivative of cos(x) is [tex]\frac{d(cosx)}{dx} = -sinx[/tex]

The second derivative of cos(x) is [tex]\frac{d^{2}(cosx) }{dx^{2} } = \frac{d}{dx} (\frac{dcosx}{dx} ) = \frac{d(-sinx)}{dx} =-cosx[/tex]

Third derivative [tex]\frac{d^{3}(cosx) }{dx^{3} } = \frac{d }{dx } (\frac{d^{2} cosx}{dx^{2} } ) = \frac{d(-cosx }{dx } = sinx[/tex]

[tex]\frac{d^{4}(cosx) }{dx^{4} } = \frac{d(sinx) }{dx } = cosx\\\frac{d^{5}(cosx) }{dx^{5} } = \frac{d(cosx) }{dx } = -sinx\\\\\frac{d^{6}(cosx) }{dx^{6} } = \frac{d(-sinx) }{dx } = -cosx\\\\\frac{d^{7}(cosx) }{dx^{7} } = \frac{d(-cosx) }{dx } = sinx\\[/tex]

Eighth derivative if cos(x) is  cos(x)

and so on

Therefore , the first , fifth , ninth ,... derivative of f(x) =cos(x)  is -sin(x)

The second, sixth, tenth.... derivative of f(x) =cos(x)  is -cos(x)

The fourth , eighth , 12th,... derivative of f(x) =cos(x)  is cos(x)

We can say that very multiple of fourth derivative of f(x) =cos(x)  is cos(x)

We can write 107 as 104 + 3

As 104 is multiple of 4 therefore 104th derivative of cos(x) is cos(x)

[tex]\frac{d^{107}(cosx) }{dx^{107} } = \frac{d^{3} }{dx^{3} } (\frac{d^{104} cosx}{dx^{104} } ) \\\frac{d^{107}(cosx) }{dx^{107} } = \frac{d^{3}(cosx) }{dx^{3} } = sinx[/tex]

Therefore, the 107th derivative of f(x) =cos(x) is sin(x).

Also, learn more about the derivatives from the link below:

https://brainly.com/question/25324584

#SPJ1

The total area of Wisconsin
is 65,498 square miles. Of that, about
80% is land area. About how many
square miles of Wisconsin is not land
area?

Answers

Answer:

the other 20%

Step-by-step explanation:

calculate 20% of 65498

Answer:

13,099.6 square miles

Step-by-step explanation:

80%*65,498=

80/100 * 65,498=

4/5 * 65,498=52,398.4 square miles of land area

65,498-52,398.4=       ==> subtract the total area of Wisconsin by the total land area to get the total area that isn't land.

65,498.0-52,398.4=13,099.6 square miles of area that isn't land

An investment account eaming 3.85% simple interest cas $67 50 in 3 years. How much was invested? Give your answer rounded to whole cents.​

Answers

The amount that was invested at the start of the 3 years that is the principal amount will be equal to $ 6051.098.

Let the principal amount that is invested be equal to x.

So, we get that:

P = x

Now, the time period t = 3 years.

Simple interest rate = r = 3.85 %

Amount after 3 years = A = $ 6750

A = P + ( P × r × t / 100)

6750 = x + ( x × 3.85 × 3 / 100)

6750 = x + 0.1155 x

6750 = 1.1155 x

x = 6750 / 1.1155

x = 6051.098

Therefore, we get that, the amount that was invested at the start of the 3 years that is the principal amount will be equal to $ 6051.098.

Learn more about simple interest here:

https://brainly.com/question/20690803

#SPJ9

Rewrite in simplest terms: (x +9y) — (9x -8y)​

Answers

Answer:Your answer would be -8 x - 17 y

Step-by-step explanation: x - 9 x would be - 8 x

                                               You would have to distribute the negative in the problem -(9 x- 8 y) which would make it -9 x +8 y and 9 y + 8 y is 17 y so there fore the answer is -8 x - 17 y

Triangle `CDA` is the image of Triangle `ABC` after a `180°` rotation about the midpoint of segment `AC`. Triangle `ECB` is the image of Triangle `ABC` after a `180°` rotation about the midpoint of segment `BC`.

Answers

ABCD and ABEC are parallelograms becayse a parallelogram can be divided into congruent triangles of different orientations

How to explain why ABCD and ABEC are parallelograms?

The pre-image of the rotations are given as:

Triangle ABCTriangle ABC

The image of the rotations are given as:

Triangle CDATriangle ECB

Notice that the triangles ABC and CDA have a common line segment AC, while the triangles ABC and ECB have a common line segment CB

The above is true, because the triangle is rotated by 180 degrees through its own midpoint

When the images of the rotations are viewed as a single shape, the view of the shape is a parallelogram

Because a parallelogram can be divided into congruent triangles of different orientations, then ABCD and ABEC are parallelograms

Read more about transformation at

https://brainly.com/question/18065132

#SPJ1

Complete question

Triangle CDA is the image of triangle ABC after a 180º rotation around the midpoint of segment AC. Triangle ECB is the image of triangle ABC after a 180º rotation around the midpoint of segment BC.

Explain why ABCD and ABEC are parallelograms.

See attachment for image

What is 3 x 10 to the power of 4 multiplied by 5 x 10 to the power of 2.

Answers

Answer:

2,025,000,000

Step-by-step explanation:

(3×10)⁴×(5×10)

8810000×2500

2,025000,000

4/3 times 6/5 in simplest form

Answers

Answer:

8/5 or 1 3/5

Step-by-step explanation:

Answer:

Exact form: 8/5
Mixed Number form: 1 3/5

Step-by-step explanation:

First, let's cancel the common factor of 3

4/3 * 6/5
4 * (3*2/5)
4 * 2/5

Next, lets combine 4 and 2/5

4*2/5
8/5

We can finish this off by simplifying 8/5

8/5 = 1 3/5

Find the lengths of UV and ST and determine whether they are congruent.
Hint: Congruent line segments have the same length.

Answers

Answer:

-2, S, U, V. that was a good question.

Step-by-step explanation:

Thanks. You are known.

Identify and extend the pattern to find the next number in the sequence 3, 12, 48, 1 92

Answers

Answer:

768

Step-by-step explanation:

The numbers are multiplying by 4 each time, Therefore the next number will be 768.

USING TOOLS The table shows the numbers y (in thousands) of people in a city who regularly use sharable
electric scooters x weeks after the scooters are introduced.
Time, x Number of users, y
1, 1.5
4, 2.2
6, 2.4
10, 3.9
12, 5.5
15, 6.8
20, 12.3
24, 16.4
25, 17.6

1. Write function that models the data

2. Use the model to predict the number of users after 32 weeks

Answers

From the data given, we have that:

1. The linear regression equation is given by:y = 0.69684x - 1.43675.

2. 21 users during the 32th week.

How to find the equation of best fit using a calculator?

To find the equation, we need to insert the points (x,y), given in a scatter plot or in a table, in the calculator. We also have to identify the type of data that models the situation, such as linear, quadratic or exponential.

For this problem, the data is increasing somewhat linearly, hence linear regression is used.

The points of the function, from the table, are given as follows:

(1, 1.5), (4, 2.2), (6, 2.4), (10, 3.9), (12, 5.5), (15, 6.8), (20, 12.3), (24, 16.4), (25, 17.6).

Hence the the linear equation that models the data is:

y = 0.69684x - 1.43675

The value during the 32th week is found when x = 32, hence:

y = 0.69684(32) - 1.43675 = 21 (rounded up, as the first decimal digit is greater than 0.5).

More can be learned about a regressions equations at brainly.com/question/22992800

#SPJ1

find the distance AC on the number line below

Answers

Answer:

6

Step-by-step explanation:

c is on -3 and A is on 3 -3 to 3 would be 6

Hey guys please help me with this thanks

Answers

Answer:

Step-by-step explanation:

boy just include the unit rate of mph and make the question solvable as easy as that, or you could use the example and change the mph

Find an equation of the line that passes through the points
(
5
,
9
)
and
(

2
,
1
)
. You do not need to simplify.

Answers

(5/9) - (2/1) = -13/9

PLEASE HELP! I will mark you Brainly and rate well!
Fuel Usage.

The slope can be used to represent the average rate of change, or how much one quantity changes, on average, relative to the change in another quantity. An example of a slope that changes in real-life involves units of measure such as beats per minute or kilowatts per hour.



Over a 45-day period, the amount of propane in a tank that stores propane for heating a home decrease from 500 gallons to 344 gallons.











1. Use a graph or the slope formula to show the average rate of change in the amount of propane used over the 45-day period.



2. Show all work.



3. Explain what your solution represents in the context of the situation.

Answers

Answer: this is not answer but it will help u with whoever does answer it

Step-by-step explanation:


we see here, slope is another version of finding the average rate of change. Average rate of change is finding the difference between the dependent variable (y-term) divided by the difference in the independent variable (x-term). Slope and average rate of change is exactly the same thing

find the value for x
(x+63)
(4x)

Answers

Answer:

  x = 21

Step-by-step explanation:

You are given expressions (x+63)° and (4x)° for alternate interior angles at a transversal crossing parallel lines. You want to know the value of x.

Alternate interior angles

Where a transversal crosses parallel lines, alternate interior angles are congruent. That means ...

  (4x)° = (x +63)°

  3x = 63 . . . . . . . . divide by °, subtract x

  x = 21 . . . . . . . . . divide by the coefficient of x

Graph = 2/3x

Please graph the graph right and answer the ones that apply

Answers

1. Yes, the equation represent the proportionality relationship.

2. Yes, the unit rate of changes of y with respect to x is [tex]\frac{2}{3}[/tex].

3.Yes, The slope of the line is [tex]\frac{2}{3}[/tex]

Given a picture in that we can see a graph and 3 option.

We have to check weather that 3 option satisfy the equation and what are they.

Given equation [tex]y=\frac{2}{3}x[/tex]

1st option: Is the equation represent the proportionality relationship.

Yes, the equation represent the proportionality relationship.

If we see the proportionality rule that is

The equation y = kx represents a proportionate relationship between two quantities y and x that have the same proportionality constant, k.

A proportionate relationship exists if an equation in a different form can be rewritten as shown above.

Here, the equation is in the form of y=kx.

Therefore, Yes, the equation represent the proportionality relationship.

2nd option: the unit rate of changes of y with respect to x is [tex]\frac{2}{3}[/tex].

Yes, the unit rate of changes of y with respect to x is [tex]\frac{2}{3}[/tex].

The amount of change in y for a change of one unit in x is the unit rate of change of y with respect to x.

The slope is [tex]\frac{2}{3}[/tex].

Therefore, Yes, the unit rate of changes of y with respect to x is [tex]\frac{2}{3}[/tex].

3rd option: The slope of the line is [tex]\frac{2}{3}[/tex]

Yes, The slope of the line is [tex]\frac{2}{3}[/tex]

It is possible to simplify the equation of the slope to the form

y=mx+b, where m is the slope of the line and b is constant.

y is the dependent variable and x is the independent variable.

By the equation [tex]y=\frac{2}{3}x[/tex]

Therefore, Yes, The slope of the line is [tex]\frac{2}{3}[/tex]

To learn more about equation visit: https://brainly.com/question/10413253

#SPJ9

A couch went on a 19% off sale. the sale price is given $972. what was the original price of the couch?

Answers

Answer: $1200

Step-by-step explanation:

The equation to find out the price of the couch on sale is:

972=x*0.81

(0.81 is the same as 81% or 100% - 19%)

Then this equation can be arrange to figure out x

972=x*0.81

972/0.81=x

x=1200

Answer:

$1200

Step-by-step explanation:

Given the following question:

A couch when on a 19% discount
The new price of the couch was 972 dollars

We are trying to find the original price of the couch. To find that answer we are going to use the formula to calculate the percentage.

19% of 1200
[tex]\frac{p\times n}{100}[/tex]
[tex]\frac{19\times1200}{100}[/tex]
[tex]19\times1200=22800[/tex]
[tex]22800\div100=228[/tex]

Now check our answer by subtracting 228 from our original price 1200:

[tex]1200-228=972[/tex]
[tex]=972[/tex]

Our original price is "$1200."

Hope this helps.

Find the coordinates of the point
7/10 of the way from A to B.

The coordinates of the point
7/10 of the way from A to B are

Answers

Answer:

(4,-4)

is the way from AtoB

Solve for h s=2pie r squared =2 pie rh

Answers

H = S/2πr + r or (S + 2πr²)/2πr simplified and solved for the value  S = 2πr² + 2πrh

Here given that S = 2πr² + 2πrh

Lets simply the equation

⇒ S = 2πr² + 2πrh

⇒ S = 2πr(r + h)

⇒ S/2πr = r + h

⇒ h = S/2πr + r or (S + 2πr²)/2πr

What is an equation?

In mathematics, an equation is a formula that indicates the equality of two expressions by connecting them with the equals sign =.

The word equation and its cognates in various languages may have somewhat different definitions; for example, in French, an équation is defined as including one or more variables, whereas in English, an equation is any well-formed formula consisting of two expressions coupled with an equals sign.

Learn more about equation

https://brainly.com/question/2972832

#SPJ9

A computer screen has a length of
16 inches and a width of 10 inches. What
is the area of the screen to the nearest
square centimeter?

Answers

The area of the screen to the nearest square centimeter is 0.103 m².

Given, that the length of the computer screen is = 16 inches

width of the computer screen = 10 inches

we know that 1 inch = 0.0254 m

Width = 10 inches = 10 × 0.0254 m

= 0.254 m

Length = 16 inches = 16 × 0.0254 m

= 0.4064 m

By definition,

Area =  length × width

        = 0.254 × 0.4064 m²

        = 0.103 m²

hence we get the area of the computer screen as 0.103 m²

Learn more about Measurements here:

brainly.com/question/25292087

#SPJ9

plssss help 10 if corrret

Answers

The difference between -4/5 and -3/5 will be -7/5.

How to express the fraction?

It should be noted that the difference between 4/5 and 3/5 will be illustrated thus:

= 4/5 - 3/5

= 1/5

Subtracting -3/5 from -4/5 will be:

= -3/5 - 4/5

It should be noted that they both have negative signs.

Therefore, the value will be -7/5 or - 1 2/5.

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

i need this in a hour O_o ​

Answers

Answer:

x= 5/12,y=− 5/4

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

6x−12y=24,4x+2y=8

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

6x−12y=24

Add 12y to both sides of the equation.

6x=12y+24

Divide both sides by 6.

x= 6/1 (12y+24)

Multiply  6

1 times 24+12y.

x=2y+4

Substitute 4+2y for x in the other equation, 4x+2y=8.

4(2y+4)+2y=8

Multiply 4 times 4+2y.

8y+16+2y=8

Add 8y to 2y.

10y+16=8

Subtract 16 from both sides of the equation.

10y=−8

Divide both sides by 10.

y=− 5/4

​Substitute − 5/4  for y in x=2y+4. Because the resulting equation contains only one variable, you can solve for x directly.

x=2(− 5/4 )+4

Multiply 2 times − 5/4 .

x=− 5/8 +4

Add 4 to − 5/8 .

x= 5/12

Write an absolute value inequality for the graph below.
Use x for your variable.
←++
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10

Answers

An absolute value inequality for given graph is |x| ≤ 6

In this question, we have been given a graph of a number line.

We need to write an absolute value inequality for given graph.

From the given graph, we can observe that the value of x lies between -6 to 6.

i.e., -6 ≤ x ≤ 6

We know that, for a real number 'm', the absolute value function for m would be,

|±m| = m

So, -6 ≤ x ≤ 6

|x| ≤ 6, which is required inequality.

Therefore,  an absolute value inequality for given graph is |x| ≤ 6

Learn more about an absolute value inequality here:

https://brainly.com/question/4688732

#SPJ1

Other Questions
What is they-value of theof thesolutionsystem?y = 5x + 3y = 7x-3 A decrease in the demand for soft drinks due to changes in consumer tastes, accompanied by an increase in the supply of soft drinks as a result of reductions in input prices, will result in. What does the excerpt reveal about Wells view of capitalism and class in the britain of his day Lori ran 5 miles Monday, 6 %4 miles Tuesday, 4 miles Wednesday, and 234 miles onThursday. What is the average number of miles Lori ran? Write your answer as an improperfraction. in this sotry , victore is finally able to impress teresa. do you think it matters thaat this impression is based on something that isn't true. Which of the following must be a factor of the function a large population of mice (2000 individuals) lived in an area in the desert dominated by small shrubs. when the population size got too high, a small group of 6 individuals left and colonized an area adjacent to the original population's home, but the adjacent area was primarily dominated by trees instead of shrubs. there is no gene flow between the dispersers and the original population. a researcher sequenced the genomes of representative individuals from both populations and found substantial genetic differences between them. which of the statements would most account for the amount of genetic differences observed? Can you explain this to me? o Convert 6.49 x 10-3 m to the equivalent length in nanometers. In what way does the protagonist's point of view reflect his cultural background? what integer would be added to 4 to result in a sum of zero Please help!!! I really need this!!! It's piecewise functions...... perceptions of touch, pain, pressure, and temperature are registered and interpreted in the of the parietal lobe, whereas coordination of voluntary movement is interpreted in the of the frontal lobe. A disc rotates about its axis at a constant rate. If the acceleration of the outer rim of the disc is 4.9 m/s2, and the period of the rotation is 2.0 s, what is the radius of the disc? Ilya and Anya each can run at a speed of 7.50 mph and walk at a speed of 3.50 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half.- Find Anya's average speed. (express in miles per hour)- How long does it take Ilya to cover the distance? (express in minutes)- Now find Ilya's average speed. (express in miles per hour) Which continents and regions of the world were connected by the indian ocean trade routes?. The three major subdivisions of extracellular fluid found in the body are plasma, interstitial fluid, and. explain why france and britain engaged in their great contest for north america and why britain won. A fat (or triacylglycerol) would be formed as a result of a dehydration reaction between__.O one molecule of 9 and three molecules of 10O three molecules of 9 and one molecule of 10O one molecule of 5 and three molecules of 9O one molecule of 5 and three molecules of 10 Read this excerpt from chapter 1 of the scarlet letter. A throng of bearded men, in sad-colored garments and gray, steeple-crowned hats, intermixed with women, some wearing hoods, and others bareheaded, was assembled in front of a wooden edifice, the door of which was heavily timbered with oak, and studded with iron spikes. Which best describes the effect of the words "sad-colored," "steeple-crowned," and "iron spikes"?.