Which number line represents the solution set for the inequality 2x-62 6(x-2) + 8?
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Which Number Line Represents The Solution Set For The Inequality 2x-62 6(x-2) + 8?-1.5 -1-0.500.511.5-1.5

Answers

Answer 1
The THIRD number line represents the solution of that inequality.
Answer 2

The correct number line which represents the solution set for the inequality is shown in option 2.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

Inequality is,

⇒ 2x - 6 ≥ 6 (x - 2) + 8

Now, We cam simplify as;

⇒ 2x - 6 ≥ 6 (x - 2) + 8

⇒ 2x - 6 ≥ 6x - 12 + 8

⇒ 2x - 6x ≥ - 12 + 8 + 6

⇒ - 4x ≥ 2

⇒ 4x ≤ - 2

⇒ x ≤ - 1/2

⇒ x ≤ - 0.5

Hence, The correct number line which represents the solution set for the inequality is shown in option 2.

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Related Questions

PLEASE HELP ME I WILL GIVE BRAINLYEST

Answers

Answer:

your answer will be 85 1/3ins

Step-by-step explanation:

16x 5 1/3 = 85.3333333333

then I took the 85 and the 1/3

and just put em together

50 points Find the lateral surface area of the prism.

Answers

Answer:

Lateral surface area = 36 ft²

Step-by-step explanation:

Formula:

Lateral surface area = perimeter of the base × height

………………………………………………………………

perimeter of the base = 2×(1.5+3) = 9

height = 4.

then

Lateral surface area = 9 × 4 = 36

Area of two bigger rectangles

2LB24(3)2(12)ft²24ft²

Area of two smaller rectangles

2×1.5(4)2×612ft²

LSA

12+2436ft²

What is the solution for x in the equation?
9-10x=2x + 1 - 8x
x = -2
x=1/2
x=2
x=-1/2

Answers

by just changing the x and numbers you can solve it:
-4x=-8 => x=2

A survey asked people how many siblings they have, and the results were recorded in this line plot.

How many people surveyed have 4 or more siblings?

dot plot

Answers

Answer:

we need a pic of the graph to be able. to work this out.

THANK YOU

Answer:

It's 5.

Step-by-step explanation:

8-3= 5

1) - 6z+2+3= 15
How do I solve this question

Answers

Hi student, let me help you out! :)

. . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .  . . . . . .

We are asked to solve the equation [tex]\mathrm{-6z+2+3=15}[/tex].

[tex]\triangle~\fbox{\bf{KEY:}}[/tex]

The goal is to isolate x.

Notice that we can add 2+3 right off the bat:

[tex]\star~\mathrm{-6z+5=15}[/tex]

Subtract 5 from both sides of the equal sign:

[tex]\star~\mathrm{-6z=10}[/tex]

Divide both sides by -6:

[tex]\star~\mathrm{z=\cfrac{10}{-6}}[/tex]

Simplify!

[tex]\star~\mathrm{z=-\cfrac{5}{3}}[/tex]

Hope it helps you out! :D

Ask in comments if any queries arise.

#StudyWithBrainly

~Just a smiley person helping fellow students :)

help what is
thr circumference of a circle is 36π cm
what is the radius of teh circle?

Answers

Let's consider the relationship between the circumference and the radius:

 ⇒ first, consider the equation for finding the circumference

      [tex]Circumference = 2\pi *radius[/tex]

Let's consider the known information

Circumference ⇒ 36π

Let's plug the known information to find the radius:

  [tex]Circumference = 2\pi *radius\\36\pi =2\pi *radius\\radius = 18[/tex]

Thus the radius is 18 cm

Answer: 18 cm

Hope that helps!

I need help asap!!! I will without hesitation give brainliest to whomever gets this

Answers

Answer:

A. [tex]y\leq \frac{1}{2}x+2[/tex]

Step-by-step explanation:

First, let's find the slope of the line, so we can eliminate some answers.

From point (0,2) we can go up 1 and over to the right 2 to the point of (2,3). Slope is rise over run so 1 over 2.

This eliminates C and D.

The last part is to recognize that y being less than the equation will result in the shaded region being below the line. If y was greater than the equation then the shaded region would be above the line.

Therefore, the correct answer would be A. [tex]y\leq \frac{1}{2}x+2[/tex].

Hope this helps! If you have questions about my work please let me know down in the comments!

Answer:

[tex]y\leq \frac{1}{2}x+2[/tex]

Step-by-step explanation:

The first part of finding our answer is finding the slope of the line. The image attached shows this.

[tex]\frac{rise}{run} = \boxed{\frac{1}{2}}[/tex]

This means the slope is [tex]\frac{1}{2}[/tex], removing the bottom 2 answer choices.

Now we have to choose between the [tex]\leq[/tex] and [tex]\geq[/tex] sign. Since the shaded area is below the line, it will be the [tex]\leq[/tex]. (If it was the [tex]\geq[/tex] sign, the shaded area would be above the line.) This marks the first answer as the correct answer.

write a rule for the nth term of the arithmetic sequence
-11, -4, 3, 10...

Answers

Answer: aₙ = -11 + 7(n - 1)

Step-by-step explanation: The equation of an arithmetic sequence is

aₙ = a₁ + d(n - 1).

a₁ is the first term.

d is the common difference.

Find the value of x.
6
14
8
0
21
x = [ ? ]
3x-12

Answers

Answer: 7

Step-by-step explanation:

By the angle bisector theorem,

[tex]\frac{21}{14}=\frac{3x-12}{6}\\21(6)=14(3x-12)\\126=14(3x-12)\\9=3x-12\\21=3x\\x=\boxed{7}[/tex]

When 2(3/5 x + 2 3/4 y - 1/4 x - 1 1/2 y + 3) is simplified, what is the resulting expression?

Answers

Answer:

6 + 7/10x + 2/y

Step-by-step explanation:

Hope this helps :)

Find the degree of the polynomial b5 + 2b3 + 7.

Answers

Answer:

5

Step-by-step explanation:

b^5 + 2b^3 + 7

Here,

degrees are 5 and 3.

The degree of the polynomial is the highest / greatest number in the degree.

Out of 3 and 5

5 is the highest / greatest number.

Hence,

the degree of the given polynomial is 5.

Solve for X.

6
X = [?]
Enter the number, in decimal form,
that belongs in the green box.

Answers

Answer:

By proportional method

[tex] \frac{4}{6} = \frac{5}{x} [/tex]

4x= 30

x= 7.5

Pls help me with no26

Answers

Answer:

a) 8

Step-by-step explanation:

The prime factors for 24 are 2, 2, 2, 3 -> The greatest is 3

The prime factors for 35 are 5, 7 -> The smallest is 5

So the sum is 3+5=8

Which of the following points is not coplanar with points C, D and E?

Answers

The point R is the point which is not coplanar with points C, D and E.

We need to find the point which is not coplanar with points C, D and E.

What are coplanar points?

The points that lie on the same plane are called coplanar points.

In the given figure there are five planes which are as follows:

BCUD, BRAE, BRAC, BTDE, ACUDE

Now, points C,D and E lie in plane ACUDE.

In the plane ACUDE points A, C, U, D, E and S lies.

From the options point, R is not lining in the same plane as C, D and E lies.

Therefore, the point R is the point which is not coplanar with points C, D and E.

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Select the best definition of repeating decimal.
A. any number that does not repeat, or terminate, that can not be written as a fraction.
B. a decimal that has a recurring sequence of numbers that follow a pattern
C. any number that can be written as a fraction, repeating or terminating decimal
D. a decimal which has digits that do not go on forever.​

Answers

The correct option that defines repeating decimals correctly is Option B;

a decimal that has a recurring sequence of numbers that follow a pattern.

What is  a Repeating Decimal?

A repeating decimal is also called a recurring decimal and it is a decimal representation of a number whose digits are periodic and the infinitely repeated portion is not zero.

From the above definition, it means that the correct option that defines repeating decimals correctly is Option B.

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what is the answer divided

Answers

Answer:

4m/9

Step-by-step explanation:

Can someone tell me what is 9x46288

Answers

Answer: 416,592

Hope this helps!

I'd appreciate the help!!

Answers

Answer:

B

Step-by-step explanation:

look at the graph. y is negative from x>2, so interval is 2<x<infinity.

in other case y=0 for x=2, y<0 for infinity<x<2

Answer:

The intervel that describes where the graph is negative is C :)

I hope this helps you!

Step-by-step explanation:

Can you please factorize 2x²+6x

Answers

To factorize something:

 ⇒ need to simplify the equation to its most basic form

Let's solve:

  [tex]2x^2+6x=2(x^2+3x)=2x(x+3)[/tex]

Thus the factorized form is ⇒ [tex]2x(x+3)[/tex]

Answer: 2x(x+3)

Hope that helps!

Answer:

Solution:

→ 2x(x + 3)

Step-by-step explanation:

Method:

Grouping

→ Common factor

2x² + 6x2(x² + 3x)

→ Rewrite in factored form

2(x² + 3x)2x(x + 3)

Identify the zeros given the quadratic equation y= -16(x+7)(x-5)

Answers

Answer:

wouldn't it be -7 and 5? I'm pretty sure that you switch the signs around.

Step-by-step explanation:

set y=0 and solve. -7 + 7 = 0 and 5 - 5 = 0. my teacher told me to switch the signs for each factored term. hope this helps.

Answer:

x = -7

x = 5

Step-by-step explanation:

Hello!

We can use the Zero Product Property to solve for the Zeroes.

Zero product Property

The zero product property stars by factoring a quadratic. You then set each of the factors to zero, and solve for the variable in the factor.

Factored form: y = a(x - h)(x - k)

0 = a(x - h)(x - k)0 = (x - h)(x - k)        Divide by a

Now, let's call each factor, A and B. To get to 0, either A, B, or both have to be 0. We prefer to solve for both.

Solvey = -16(x + 7)(x - 5)0 = -16(x + 7)(x - 5)0 = (x + 7)(x - 5)   Divide by -16x + 7 = 0, x = -7x - 5 = 0, x = 5

The zeroes of the Quadratic is -7 and 5.

Why do we replace it with 0?

Zeroes means the x-intercepts, or the roots of a quadratic. An x-intercet is when y is equal to 0. So we replace y with 0, and solve for x.

A line is parallel to y=-2x-5 and intersects the point (-1,3) input the correct values into the point slope formula y-[?] = [__}(x- [__])

Answers

The equation of the line parallel to y=-2x-5 and passing through the point (-1,3) is y = -2x + 1.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

Given that:-

A line is parallel to y=-2x-5 and intersects the point (-1,3)

The equation of the new line will be:-

y - y₁ = m ( x - x₁ )

Since the line is parallel to the line y = -2x - 5 so slope will be same m = -2 now the coordinates are ( -1, 3).

y - ( 3) = -2 [( x - (-1) ]

y - 3 = -2x - 2

y = -2x + 3 -2

Y = -2x + 1

Therefore the equation of the line parallel to y=-2x-5 and passing through the point (-1,3) is y = -2x + 1.

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Arun took a taxi from his house to the airport. The taxi company charged a pick-up fee of $4 plus $4.25 per mile. The total fare was $110.25, not including the tip. How many miles was the taxi ride?

Answers

Answer:

Answer = 25 miles

Step-by-step explanation:

We can make an equation based off of this information in the form of 4.25x+4=110.25. When we solve for x we find that it equals 25.

Hope that helps! :)

interest rate of 2.99% compounded monthly for a 4 year loan, find the regular monthly payments required to repay the loan.

Answers

Using it's formula, considering a loan of $10,000, the regular monthly payments required to pay off the loan will be of $221.3.

What is the monthly payment formula?

It is given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

In which:

P is the initial amount.r is the interest rate.n is the number of payments.

In this problem, we have that the parameters are given as follows:

P = 10,000, r = 0.0299, n = 4 x 12 = 48.

Then:

r/12 = 0.0299/12 = 0.00249167.

Hence, the monthly payment will be given by:

[tex]A = P\frac{\frac{r}{12}\left(1 + \frac{r}{12}\right)^n}{\left(1 + \frac{r}{12}\right)^n - 1}[/tex]

[tex]A = 10000\frac{0.00249167(1+0.00249167)^{48}}{(1+0.00249167)^{48} - 1}[/tex]

A = 221.3.

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A picture frame has a perimeter of 40 inches. Its length is 2 inches greater than one-half its width. Let w represent the width in inches of the picture frame, and let l represent the length in inches. Which system of equations can be used to find the dimensions of the picture frame?

Answers

Equations can be used to find the dimensions of the picture frame:

Length = 2 +1/2w

and, 2(l+b)=40

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Perimeter = 40 inches.

let the width be w

length= 1/2w+2

So.

Perimeter of rectangle

40= 2 (l+b)

40= 2(0.5w+2+w)

20=1.5w+2

18=1.5w

w= 12

length= 8

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ہے
Solve for k.
4k - 10
k
k=
-
= 8

Answers

Answer:

The formation of the equation is odd, but I assume it's supposed to be:
4k - 10k = -8k

-6k = -8k
-6k + 8k = -8k + 8k
2k = 0
[tex]\frac{2k}{2}[/tex] = [tex]\frac{0}{2}[/tex]
k = 0

Which expression is a perfect cube

Answers

Answer: some perfect cubes are

8 (2^3)

27 (3^3)

64 (4^3)

there are many perfect cubes

maybe there is more to this question?

Step-by-step explanation:

A perfect cube of a number is a number that is equal to the number, multiplied by itself, three times. If x is a perfect cube of y, then x = y3. Therefore, if we take the cube root of a perfect cube, we get a natural number and not a fraction. Hence, 3√x = y. For example, 8 is a perfect cube because 3√8 = 2.

Find the amount of money
accumulated after investing a
principle P for years t at interest
rate r, compounded continuously.
t = 6
P = $1,500 r = 7%

Answers

[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1500\\ r=rate\to 7\%\to \frac{7}{100}\dotfill &0.07\\ t=years\dotfill &6 \end{cases} \\\\\\ A=1500e^{0.07\cdot 6}\implies A=1500e^{0.42}\implies A\approx 2282.94[/tex]

A square has a triangular hole in it. What is the area of the figure?
9 in. 3 in.
76.5 in 2
89 in 2
72 in 2
3 in.
9 in.

Answers

Answer:

76.5in²

Step-by-step explanation:

First we will find the area of the square. This is done by multiplying the side length (9in) by itself.

[tex]9 * 9 = \boxed{81}[/tex]

The area of the square is 81in².

Next we will find the area of the triangular hole. We can use the formula [tex]\frac{1}{2}bh[/tex], where b is the base of the triangle (3) and h is the height of the triangle (3).

[tex]\frac{1}{2}bh\\\frac{1}{2}(3)(3)\\\frac{9}{2}\\\boxed{4.5}[/tex]

The area of the triangle is 4.5in².

Now we can find the area of the figure by subtracting the area of the square and the area of the triangular hole.

[tex]81 - 4.5 = \boxed{76.5}[/tex]

The area of the figure is 76.5in².

That is the answer

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Aaron solved an inequality and then graphed the solution as shown below.
-8-7
1 0 1 2 3 4 5
Which inequality did Aaron solve?
|x+2| <3
Ox+2| >3
|x+3| <2
|x+31 > 2

Answers

Based on the graph that Aaron made, we can infer that the inequality he solved is | x + 2 | < 3.

What inequality was solved by Aaron?

The value of x in the graphed inequality is:

-5 < x < 1

If 2 was added to both sides, the least value would be - 3 and the highest value would be 3.

The inequality then becomes:

-3 < x < 3

This in line with the first option which is that when 2 is added to any value of x, it will be less than 3.

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The ________________ measures the spread of the middle 50% of the data set.
A. median
B. range
C. interquartile range
D. mode

Answers

Answer:

C. interquartile range

Step-by-step explanation:

using this to show im right

"The interquartile range (IQR) is the difference between the upper (Q3) and lower (Q1) quartiles, and describes the middle 50% of values when ordered from lowest to highest."

Hope This Helped

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