Solve the following inequality: 9x+2/3(−7x+6)−1≥2

Answers

Answer 1

Answer:

Step-by-step explanation:

3(9x - 14/3x + 4 - 1 ≥ 2)

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6

13x ≥ -3

x ≥ -3/13

Answer 2

Answer:

x ≥ - [tex]\frac{3}{13}[/tex]

Step-by-step explanation:

Given

9x + [tex]\frac{2}{3}[/tex](- 7x + 6) - 1 ≥ 2

Multiply through by 3 to clear the fraction

27x + 2(- 7x + 6) - 3 ≥ 6 ← distribute and simplify left side

27x - 14x + 12 - 3 ≥ 6

13x + 9 ≥ 6 ( subtract 9 from both sides )

13x ≥ - 3 ( divide both sides by 13 )

x ≥ - [tex]\frac{3}{13}[/tex]


Related Questions

The length and width of a rectangle are ( 2x -5) and ( 3 x +4) What is the Perimeter?

Answers

Answer:

[tex] \fbox{ \sf{Perimeter \: of \: a \: rectangle = 10x - 2}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: \: Length \: of \: a \: rectangle ( l ) = (2x - 5) }}[/tex]

[tex] \star{ \sf{ \: Width \: of \: a \: rectangle ( w ) = (3x + 4)}}[/tex]

[tex] \star{ \sf{ \: \: Perimeter \: of \: a \: rectangle = ?}}[/tex]

[tex] \boxed{ \bold{ \sf{Perimeter \: of \: a \: rectangle = 2(l + w)}}}[/tex]

[tex] \hookrightarrow{ \sf{Perimeter \: of \: a \: rectangle = 2(2x - 5 + 3x + 4)}}[/tex]

[tex] \text{Step \: 1 : \: Collect \: like \: term}[/tex]

[tex] \text{Like \: terms \: are \: those \: which \: have \: the \: same \: base}[/tex]

[tex] \hookrightarrow{ \sf{2(2x + 3x - 5 + 4)}}[/tex]

[tex] \hookrightarrow{ \sf{2(5x - 5 + 4)}}[/tex]

[tex] \text{Step \: 2 \: : \: Subtract \: 4 \: from \: 5}[/tex]

[tex] \text{Remember !\: : the \: negative \: and \: positive \: integers \: are \: always \: subtracted \: but \: posses \: the \: sign \: of \: the \: bigger \: integer}[/tex]

[tex] \hookrightarrow{ \sf{2(5x - 1)}}[/tex]

[tex] \text{Step \: 3 \: : \: Distribute \: 2 \: through \: the \: parentheses}[/tex]

[tex] \hookrightarrow{ \sf{2 \times 5x - 2 \times 1}}[/tex]

[tex] \hookrightarrow{ \sf{10x - 2}}[/tex]

[tex] \sf{∴ \: The \: perimeter \: of \: a \: rectangle = 10x - 2}[/tex]

[tex] \text{Hope \: I \: helped !}[/tex]

[tex] \text{Best \: regards ! }[/tex]

~[tex] \text{TheAnimeGirl}[/tex]

whats the answer to this? A), B),C),D)

Answers

it would have to be C!! :))
C can you mark brainiest ik im not first just wanna rank up

Write an explicit formula for the n^th term a n 13, 17, 21, 25, ...

Answers

The first term in our arithmetic sequence = 13

The common difference of our arithmetic sequence = 17 - 13 = 4

The formula for finding an equation for any arithmetic sequence is a(n) = A + B(n - 1)

A = the first term

B = the common difference.

Let's plug our numbers in.

a(n) = 13 + 4(n - 1)

Let's check to make sure we're correct.

a(1) = 13 + 4(1 - 1) = 13 + 4(0) = 13 + 0 = 13

a(2) = 13 + 4(2 - 1) = 13 + 4(1) = 13 + 4 = 17

That verifies that our formula is correct.

In conclusion,

a(n) = 13 + 4(n - 1)

Find the distance between the points L(7, -1) and M(-2, 4).

Answers

Answer:

(5-5)

Step-by-step explanation:

hope this helped

Answer:Not correct

Step-by-step explanation:

HELP PLZZZZ
What are the solutions to the system of equations graphed below? Select all
that apply.

Answers

Answer:

D(3,0) is correct answer

() + -8= -6 what is the awnser

Answers

Answer:x=2

Step-by-step explanation:

change () to x

x + -8= -6

-6+8=2

x=2

Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9

Answers

Answer:

2x-9y=-51

2x-3y=-9

subtract question ii from i we get

-6y = -42

y =7

put value of y in 1

2x - 63 = -51

2x= 8

x=4

Carina spent a total of $5.27 buying a pineapple for $3.40 and some tomatoes that were on sale for $0.85 per pound. To determine the number of pounds of tomatoes that she bought, x, Carina wrote and solved the equation as shown below.

3.40 + 0.85 x = 5.27. 0.85 x = 8.67. x = 10.2 pounds.

Where, if anywhere, did Carina make an error?
Carina did not make any errors.
The initial equation that Carina wrote was incorrect.
Carina should have subtracted 3.40 from 5.27.
Carina should have divided 8.67 by 0.85.

Answers

Answer:

C. Carina should have subtracted 3.40 from 5.27

Step-by-step explanation:

I'm just smart like that

--

Brianna Edwards

e d g e n u i t y things

Thanks

-ReMiNdEr: Always vote brainliest

The mistake that Carina made is she should have subtracted 3.40 from 5.27.

How many pounds of tomatoes was bought?

 The equation that represents the total amount spent is: $5.27 = $3.40 + $0.85x

In order to determine the value of x, take the following steps:

Combine similar terms: 5.27 - 3.40 = 0.85Add similar terms: 1.87 = 0.85xDivide both sides of the equation by 0.85: 2.2 pounds

To learn more about addition, please check: https://brainly.com/question/349488

The diagram is not drawn to scale
14.
2x-9
Find the value of x.

Answers

Answer:Step-by-step explanation:

10

The value of the x is 8 if after using the property of a similar triangle.

What is the similarity law for triangles?

It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.

We have a triangle shown in the picture.

By using the property of a similar triangle:

2/1 = 14/(2x-9)

2x - 9 = 7

2x = 7 + 9

2x = 16

x = 8

Thus, the value of the x is 8 if after using the property of a similar triangle.

Learn more about the similarity of triangles here:

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Suppose f(x)=4x-2 and g(x)=-2x+1. Find the value of f(5)/g(-3)

Answers

Answer:

17/7 (2 3/7 or 2. 428571...)

Step-by-step explanation:

f(x) = 4x-2

Find f(5)

f(5) = 4(5)-3f(5) = 20-3f(5) = 17

g(x) = -2x+1

Find g(-3)

g(-3) = -2(-3)+1g(-3) = 6+1g(-3) = 7

Find f(5)/g(-3)

f(5)/g(-3)17/7 (2 3/7 or 2. 428571...)

The value of f(5)/g(-3) will be 18/7.

What is substitution method?

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function are,

⇒ f (x) = 4x - 2 and

⇒ g(x) = -2x + 1

Now,

Since, The value of the function are,

⇒ f (x) = 4x - 2 and

⇒ g(x) = -2x + 1

Hence, We get;

⇒ f (5) = 4 × 5 - 2

          = 20 - 2

         = 18

And, g (- 3) = - 2 × - 3 + 1

⇒ g (-3) = 6 + 1

            = 7

Thus, The value of f(5)/g(-3) = 18/7

Learn more about the substitution visit:

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HELP!!! what is the answer to this 5(2)+5(7)

Answers

Answer:

45

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

5(2) + 5(7)

Step 2: Multiply

10 + 35

Step 3: Add

45

Answer:

45

Step-by-step explanation:

Parenthesis means you would need to multiply

so

(5 x 2) + (5 x 7)

= 10 + 35

add

= 45

Solve for x: 5 - (x + 5) > -2(x + 4) (1 point)
a
x>-8
Ob
X<-8
oc
x>-18
Od
X<-18

Answers

Answer:

x > - 8

Step-by-step explanation:

5 - (x + 5) > -2(x + 4)

Expand the terms in the bracket

That's

5 - x - 5 > - 2x - 8

- x > - 2x - 8

Add 2x to both sides

That's

- x + 2x > 2x - 2x - 8

We have the final answer as

x > - 8

Hope this helps you

How do you know if a whole number is a perfect square?

A. A whole number is a perfect square if it is divisible by 4.

B. A whole number is a perfect square if its square root is an irrational number.

C. A whole number is a perfect square if it is divisible by 2.

D. A whole number is a perfect square if its square root is a whole number.

Answers

D because if you can square root it into a whole numbers then it’s a perfect square

This is a Precal question.

Express the given geometric statement about numbers on the number line algebraically, using absolute values.

x is more than 2 units from c​

Answers

Answer:

X= 4c The absolute value you can find witht the equation |4c|

3. Find the solution set for this inequality:
-4(3x - 5) < 2(3x + 4)

Answers

Answer:

Step-by-step explanation:

x>2/3

What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42

Answers

Answer:

-42

Explanation:

(-6)(-7) = 42

(42)(-1) = -42

Get a calculator homie.

Answer:its negative 42

The volume of a box 4inches wide and 2 inches high and 5 inches long is

Answers

Answer:

40

Step-by-step explanation:

4x2x5=40, the formula for volume is LxWxH=V length times width times height

evaluate the expression -8 + (-15)​

Answers

Hey there!

ANSWER: [tex]-23[/tex]EXPLANATION:

[tex]-8+(-15)[/tex]

To easily solve this, try removing the negative and add 8 + 15.

[tex]8+(15)=23[/tex]

Now add back the negative.

[tex]-8+(-15)=-23\\-23(ANSWER)[/tex]

Hope this helps and have a great weekend!

[tex]\text {-TestedHyperr}[/tex]

Help ASAP and explain why ?!

Answers

Answer:

A

Step-by-step explanation:

The area equal to a square that is 1 centimeter on each side.

It costs $200 for 12 piano lessons . Solve for unit rate or price per one lesson . Can someone help me please ?

Answers

Answer:

it is 16 dollars

Step-by-step explanation:

if you divide 200 by 12 it is 16 aka i used my calculator

Answer:

each lesson would cost $16.70

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did. How many video games did Austin sell, given they had the same number of video games left?

Answers

Answer:

The answer is 7 video games

Step-by-step explanation:

The number of video games Austin sold will be 4.

What is the solution to the equation?

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

Austin started with 26 video games and sold x video games. Caleb started with 40 video games and sold three times as many video games as Austin did.

Let x be the number of video games sold and y be the number of video games left. Then the equations will be

y = 26 - x

y = 40 - 3x

From equations 1 and 2, then we have

26 - x = 40 - 3x

3x - x = 40 - 26

2x = 14

x = 4

The number of video games Austin sold will be 4.

More about the solution of the equation link is given below.

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The number 480 was changed to 4.8 times a

Answers

Answer:

100

Step-by-step explanation:

480/4.8=100

4.8x100=480

Help me plz!!!!!!!!!!!!

Answers

16 is the answer (99% sure) :)
the answer is 16.

explanation: it is given that the ratio is 5:3 (lillies to daisies). In order to get ten lillies, you would have had to multiply 5 by 10. Since it is a ratio, you have to do the same to the dasies, and you would get 6 dasies. 10+6=16, which is the total amount of flowers.

Help me please!!!!!!!!!!!!!!!

Answers

Answer:

The answer is D

Step-by-step explanation:

There are 6 black circles and 2 red circles which could be written as 6 + -2, the positive sign from will turn into a negative bc if the -2, so then it would be 6-2=4

enter in the number below that will make the right expression equivalent to the left expression:
1. 7+2+n=____+n
2. (3+7)+6=____+6
3. 2+(3+7)=2+___
4. 10+2+5=____
5. 7+(-4)+3=____+3
6. -11+8+n=____+n

Answers

1.9+n
2.10+6
3.2+10
4.17
5.3+3
6.-3+n

The robotics team needs to purchase $350 of new equipment. Each of the students on the team plans to fundraise and contribute equally to the purchase. Which expression represents the amount that each student needs to fundraise? Which expression represents the amount that each student needs to fundraise? Explain your thinking.​

Answers

Answer:

s = students, m = money they pay

S(M)=350

The expression that represents the amount that each student needs to fundraise is -  y = [tex]$\frac{350}{x}[/tex]

We have robotics team who needs to purchase $350 of new equipment.

We have to determine the expression which represents the amount that each student needs to fundraise.

In a class of 50 students, it was asked to collect a total of $3000 for NGO funding. Find the amount contributed by each student assuming they all pay the equal amount.

Assume the amount paid by each student be x. Then -

50x = 3000

x = $60

According to the question, we have -

Assume that the number of students in the robotics team are x.

Assume that the money contributed by each member is $y.

Then, the expression represents the amount that each student needs to fundraise is -

xy = 350

y = [tex]$\frac{350}{x}[/tex]

To solve more questions on Equation Modelling, visit the link below -

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5+1/5x=-1 plz find the answer

Answers

Answer:

X= -6/5

Step-by-step explanation:

Multiply to remove the variable from the denominator.

Hope this helps.

Answer:

Step-by-step explanation:

x/5 + 5 = -1

x/5 = -6

x= -30

3. A $1,250 deposit for 10 years at a simple interest rate of 5.25%​

Answers

Step-by-step explanation:

I=(pxRxt)/100

I=(1250×5.25×10)/100

I=656.25

amount to be paid is $1906.25 pls give me brainliest

What is the volume of this rectangular prism?

Answers

Answer: V≈5.21 cm³

Step-by-step explanation:

To find the volume of a rectangular prism, you multiply the length, width and height.

[tex]V=wlh[/tex]

Since we were given the length, width and height, we can directly multiply them together.

[tex]V=\frac{5}{2} *\frac{5}{3} *\frac{5}{4}[/tex]             [multiply]

[tex]V=\frac{125}{24} =5.21 cm^3[/tex]

Now, we know that the volume is approximately 5.21 cm³ or 125/24 cm³.

Caleb needs at least 30 cups for the party he already has 12 cups at least show many more cups does he need

A expression
B equation
C inequality

Answers

B. Equation (hope this helps!)
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