Which graph represents the solutions to the inequality |2x − 6| < 4? (5 points) number line with a closed circle on 1, shading to the left and a closed circle on 5, shading to the right number line with a closed circle on 1, shading to the right and a closed circle on 5, shading to the left number line with an open circle on 1, shading to the left and an open circle on 5, shading to the right number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left

Answers

Answer 1

The graph that represents the inequality is:

Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

What is the inequality?

The inequality is:

|2x - 6| < 4

Which means that the distance of 2x - 6 to the origin is less than 4, hence:

-4 < 2x - 6 < 4.

The solution is:

2x - 6 > -4

2x > 2

x > 1

2x - 6 < 4

2x < 10

x < 5

The solution has open circles at x = 1 and x = 5, as they are not part of the solution, and the shading is in the middle, as the solution is 1 < x < 5, hence the correct option is:

Number line with an open circle on 1, shading to the right and an open circle on 5, shading to the left.

More can be learned about inequalities at https://brainly.com/question/25235995

#SPJ1


Related Questions


Divide 110 between two friends so that one gets 16 more than the other. solve the equation ​

Answers

Answer:

47 and 63

Step-by-step explanation:

Let x be the number one friend gets.

This means the second friend will get x + 16

x + x + 16 = 110

2x + 16 = 110

2x = 94

x = 47

One friend gets 47, and the other gets 63

Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (negative 4) = 7
Negative 5 + x = negative 2

Answers

69

Step-by-step explanation:

2+ x = 5

x + 1 = 4

9 + x = 6

x + (negative 4) = 7

Negative 5 + x = negative 2

2 + x = 5
x + 1 = 4
-5 + x = -2

In all of these, x is positive 3.

A grocery store manager ordered 243 cases of Cheez its. Each case contains 15 boxes and each box is made up 8 packs of Cheezb its. How many packs of Cheez its did the grocery store manager order?

Answers

Answer:

29160

Step-by-step explanation:

243*15*8

Enter
31/100 as a money amount and as a decimal in terms of dollars.

Answers

Answer:

It would be .31 cents, I believe

Step-by-step explanation:

Just divide 31 by 100 and you'll get your answer.

:)

en un día de trabajo una pastelería ha producido 100 pasteles, de los cuales (2/5 en fracciones) tienen crema y (1/4 en fracciones) de la producción de pasteles no tiene crema y el resto son díbeticos ¿cuantos pasteles hay para diabéticos?​

Answers

tfyhgbuhbj tctf ybubbimihbighv no

Step-by-step explanation:

tdcvyvj j ct ruv yo bb. v

Is borrowing money a

Delegated power
Reserved power
Concurrent power

Answers

I believe that it is a concurrent power

Given m∥n, find the value of x.

Answers

Answer:

53°

Step-by-step explanation:

Of the two lines are parallel then x = 53°

Please help I am giving brainliest!

Answers

Answer:

6.3 in.^2

Step-by-step explanation:

The diameter of the circle is 4 in., so the radius of the circle is 2 in.

[tex] A_{sector} = \dfrac{n}{360^\circ} \pi r^2 [/tex]

The two central angles have a total measure of 60 deg + 110 deg = 170 deg.

The central angle of the shaded sector is 360 deg - 170 deg =  190 deg.

We will use n = 190 deg in the area formula.

[tex] A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 [/tex]

[tex] A_{sector} = 6.3~in.^2 [/tex]

HELPPPP
the last part says select 3 options​

Answers

Answer:

Last three options are correct answers.

Step-by-step explanation:

Hope it helps you in your learning process.

Answer:

Last 3 ones are correct.

Step-by-step explanation:

The first one isn't it, because there needs to be 3 y's.

The second one isn't it, because the numbers equal 112, which isn't equal to 1120.

So it says to select 3, which means that the last 3 ones are correct.

(sorry if I'm incorrect, I'm bad at these questions)

Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2y – 2 = -8

Answers

Answer:

[tex]y = x - 4[/tex]

Step-by-step explanation:

Given

[tex]2y - 2x = -8[/tex] -- correct expression

Required

Represent as slope intercept form

[tex]2y - 2x = -8[/tex]

Make 2y the subject

[tex]2y = 2x - 8[/tex]

Divide through by 2

[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]

[tex]y = x - 4[/tex]

..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?

Answers

the playstation would be $595

Answer:

$595

Step-by-step explanation:

combine like terms to create an equivalent expression

3.26d + 9.75d - 2.65​

Answers

Answer:

13.01d - 2.65

Step-by-step explanation:

DON'T IGNORE THIS PART!!!

Hmmm... in order to be able to solve these type of expressions and more complex ones, we need to know what like terms are in the first place.

Well, the best definition of like terms is: Terms that have the same exact variables.

Let's see the terms that have the same exact variables! They are 3.26d and 9.75d.

By the way, before we continue--I would like to mention something extremely important: 3.26d and 9.75d are positive, whereas -2.65 is negative (you know, the negative sign appears right before it).

Now, let's add 3.26d and 9.75d. It equals 13.01d.

TIME TO COMBINE!!!

13.01d - 2.65

James was putting the table cloth back on the table after dinner. The table is 25 inches long and 10 inches wide. If the table cloth hangs 5 inches off each side, what is the area of the table cloth?

Answers

Answer:

3000

Step-by-step explanation:

Answer:  700 square inches

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

Explanation:

The dimension 25 bumps up to 25+5+5 = 35 since we add two copies of 5 onto it. This is done to account for the portions that hang off the edge.

Similarly, the 10 inch dimension bumps up to 10+5+5 = 20 inches.

The table cloth is 35 inches by 20 inches to give an area of 35*20 = 700 square inches.

Side note: 700 square inches is approximately equal to 4.861 square feet (divide by 144 to convert from square inches to square feet).

I need to solve -15 (1/5w -1/3) problem for math class

Answers

-3w-5

hope that helps^^

The rectangle is rotated 180º counterclockwise about the origin. Which of the following ordered pairs is a vertex of the rectangle’s image?


A.

(-5, 1)


B.

(-4, -1)


C.

(4, -5)


D.

(4, 4)

Answers

The anwser is D...........

The ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

What is a transformation of a shape?

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.

From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.

Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.

The rectangle is in the first quadrant then the coordinate of the vertices of a rectangle will be positive (x, y).

The rectangle is rotated 180º counterclockwise about the origin.

The rectangle will be in the third quadrant then the coordinate of the vertices of the rectangle will be negative (-x, -y).

Thus, the ordered pair is a vertex of the rectangle’s image will be (-4, -1). Then the correct option is B.

More about the transformation of the shape link is given below.

https://brainly.com/question/27224339

#SPJ2

Describe the slope and y-intercept of the line y = -x + 2.

Answers

Answer:

slope = -1

y intercept= 2

Step-by-step explanation:

compare the equation with the standard equation Y= MX + C

where M is the slope

to find Y intercept substitute the value of x as 0

is the ordered pair (1, -3) a solution to
3x + 5y = -8?

Answers

Answer:

Yes give Brainliest

Step-by-step explanation:

To find y place the other terms in the equation to the right

hand side of the equation.

Thus : 5y = 7 - 3x

( now divide both sides by 5 )

⇒ 5y5=7−3x5=15(7−3x)

now will you give brainliest?


5. A length of rope is 20m long. If I cut it into 10 equal length pieces, how long is
each piece? *

what is given​

Answers

20m = length of rope
20m / 10 = 2m

Each piece is 2m long.

Answer:

each piece is = 3 m long

Step-by-step explanation:

20 /10= 2

THURSDAY Draw this model on a piece of 1 peper. Hank cut his pizza into 10 pieces and ate 6 of the pieces. Rose cut her pizza into 5 pieces and ate the same amount as Hank Show this on the drawing​

Answers

Answer:

Rose: 6/5 or 1.2

Hank: 6/10 ÷ 6 = 0.1

Step-by-step explanation:

89% out of 100 that this is correct

89 out of 100% that is correct

What is the value of the expression below?
13 - (-9)

Answers

13 - (-9)
13 - 9 = 4

x to the third power =8/27​

Answers

Answer:

2/3

Step-by-step explanation:

2/3

in this case x= 2/3.

Use distributive property for 3.2= 4/5(b - 5)

Answers

i hope this helps :)

if

sin150°=1/2 fiind sin75°​

Answers

Answer:

thank u for free points

Step-by-step explanation:

......

Which equation represents the line through the points (3,2) and (-9,6) ?
x + 3y = 9
3x - y = -9
O x - 3y =9
3x + y =9

Answers

Answer:

Step-by-step explanation:

(3,2),(-9,6)

slope = (6 - 2) / (-9 - 3) = -4/12 = -1/3

y = mx + b

slope(m) = -1/3

use either of ur points...(3,2)....x = 3 and y = 2

now we sub into the formula and find b, the y int

2 = -1/3(3) + b

2 = -1 + b

2 + 1 = b

3 = b

so ur equation is : y = -1/3x + 3 <==

4
Jared has a collection of 90 movies on DVD. If
46 of the movies are comedies, 26 are drama,
and the rest are science fiction, what percent of
the movies are science fiction?
A) 18
B) 20
C) 28
D) 32

Answers

90 - 72 = 18

18/90 movies are science fiction

18/90 x 100 = 20%

So it’s B :)

Answer:

It's B but read the other person's explanation it's better than mine would be

Step-by-step explanation:

equations with variables on both sides that makes the answer x=9

Answers

Answer:

x = 12

Step-by-step explanation:

Answer:

2x=18

Step-by-step explanation:

24 divided by 4 times d

Answers

Answer:

i think 6 not sure tho sorry if its worng

It is important to comparison shop when purchasing a car.
What does comparison shop mean?

-Always buy from a
local dealership
-Take several photos to
use for comparison
-Compare the price &
quality from different
vendors
-Compare the true
market value of every
vehicle

Answers

Answer:

Compare price and quality

Step-by-step explanation:

I did this test

Answer:

option c

Step-by-step explanation:

comparing the price and quality from different vendors is important as we are giving a money we should be sure enough that quality is also as much the money

AAAHHHHH!!!!!!! SOMEONE HELP!!!!

Answers

Answer:

43.10

Step-by-step explanation:

Je parle une ciart mwoa

solve and receive brain list ​

Answers

Answer:

it is called COLD DRANK

Step-by-step explanation:

REAPEAT AFTER ME COLD DRANK OK C-O-L-D D-R-A-N-K

Answer:

Step-by-step explanation:

6x + 26 = 8x - 12 ( 1 - 3x )

6x + 26 = 8x - 12 + 36x

Doing like terms on one side,

6x -8x -36x = -12 -26

-38x = -38

x = -38 / -38

x = 1

Hope this helps you. Do vote my answer.

Thanks

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