what value of x is in the solution set of the inequality 2(3x-1)>4x-6

Answers

Answer 1

Answer:  the solution set of the inequality 2(3x-1)>4x-6 is all values of x greater than -2.

Step-by-step explanation:  To solve the inequality 2(3x-1)>4x-6, we first simplify the left side by distributing the 2, which gives us 6x-2. Substituting this back into the original inequality, we get:

6x-2 > 4x-6

Next, we isolate the variable term (6x) by subtracting 4x from both sides:

2x-2 > -6

Then, we add 2 to both sides to isolate the variable term completely:

2x > -4

Finally, we divide both sides by 2 to solve for x:

x > -2

Therefore, the solution set of the inequality 2(3x-1)>4x-6 is all values of x greater than -2.


Related Questions

1,3,5,7,9…. What is the next number

Answers

Answer: 11

Step-by-step explanation:

this is a sequence of odd numbers.

it goes;

1,3,5,7,9,11,13,15,17,19,21,23....

Which expression is a function that has zeros at 4 and –3?

Answers

Answer:

[tex]f(x) = (x - 4)(x + 3) [/tex]

[tex]f(x) = {x}^{2} - x - 12[/tex]

QUESTION 8 1 POINT
.
Find the GCF of the following three monomials:
21x³y5
63x5y²
45x¹y³

Answers

The greatest common factor (GCF) of the three monomial, 21x³y⁵, 63x⁵y² and 45x¹y³ is 3xy²

How do i determine the greatest common factor (GCF)?

The greatest common factor (GCF) of the three monomials, 21x³y5, 63x5y² and 45x¹y³ can be obtained as follow:

First, we shall determine the factors of each monomials. This is illustrated below:

21x³y⁵ = 3 × 7 × x × x × x × y × y × y × y × y

63x⁵y² = 3 × 3 × 7 × x × x × x × x × x × y × y

45x¹y³ = 3 × 3 × 5 × x × y × y × y

Finally, we shall determine the greatest common factor (GCF) from the factors listed above. This is shown below:

3 × x × y × y = 3xy²

Thus, we can conlude that the greatest common factor (GCF) of the three monomials is 3xy²

Learn more about greatest common factors (GCF):

https://brainly.com/question/20587582

#SPJ1

Question
Evaluate |—15u| + |3v| + 3 when u
=
3 and v = 3.

Answers

The value of given expression is 57.

We are given that;

|—15u| + |3v| + 3

u=3, v = 3

Now,

To evaluate the expression, you need to substitute the values of u and v and simplify. The absolute value of a number is the distance from zero on the number line, so it is always positive or zero. You can write your solution as:

|—15u| + |3v| + 3 = |—15(3)| + |3(3)| + 3 = |—45| + |9| + 3 = 45 + 9 + 3 = 57

Therefore, by the given expression the answer will be 57.

To know more about an expression follow;

brainly.com/question/19876186

#SPJ1

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer: 29.9986-----30.0 degrees

Step-by-step explanation:

x = [tex]tan^-^1(5.6/9.7)\\\\toa[/tex]

[tex]\tan(x )=\cfrac{\stackrel{opposite}{5.6}}{\underset{adjacent}{9.7}} \implies \tan^{-1}(~~\tan( x )~~) \approx \tan^{-1}\left( 0.58 \right) \\\\\\ x \approx\tan^{-1}\left( 0.58 \right)\implies x \approx 30.0^o[/tex]

What is the range of the function y=−7x−5?

Answers

Step-by-step explanation:

"Range'' is the values of 'y' that a graph can have....there are no limits on this one

(-∞,+∞)

Help please im not that good in math

Answers

Answer: the awnser is b

Step-by-step explanation:

y intercepts of f((x)=x^{2}+2x-3

Answers

Answer:

The y-intercept is -3

Written as a point it is (0, -3)

Step-by-step explanation:

To find the y-intercept, let x = 0

(and to find x-intercepts, let y = 0)

So let's let x = 0

f(x) = x^2 + 2x - 3

y = x^2 + 2x - 3

y = 0^2 + 2(0) - 3

y = -3

This means the y-intercept is -3. The graph crosses the y-axis at -3. This is the point (0, -3).

Which of the following statements are true regarding the reflection of A(1 1/2,-2)? Select all that apply..

Answers

The correct statements are:

A) When this point is reflected across the x-axis, the x-coordinate stays the same and the y-coordinates are opposites.C) When this point is reflected across the y-axis, the x-coordinates are opposites and the y-coordinate stays the same.D) When this point is reflected across the x-axis, the x-coordinates are opposites and the y-coordinate stays the same.

How to explain the statements

When a point is reflected across the x-axis, the x-coordinate remains the same, but the y-coordinate changes sign. Therefore, statement A) is true.

When a point is reflected across the y-axis, the y-coordinate remains the same, but the x-coordinate changes sign. Therefore, statement C) is true.

It should be noted that to represent the reflection of point A (1,-2) across the y-axis, we flip the sign of the x-coordinate to obtain the image point A' (-1,-2). Therefore, statement D) is true.

Learn more about coordinate on

https://brainly.com/question/17206319

#SPJ1

Enter the number that belongs in the green box

Answers

Answer:

Set your calculator to Degree mode.

10² = 6.78² + 4² - 2(6.78)(4)(cos x)

100 = 61.9684 - 54.24(cos x)

38.0316 = -54.24(cos x)

cos x = -.701173

[tex]x = {cos}^{ - 1} ( - .701173)[/tex]

x = 134.52°

Evaluate the following question given below

Answers

The solution is, simplification of the expression is; 71.19.

Here, we have,

the given expression is:

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

=(5/2)^2 * (3/2)^6

as we know that, 4/2 = 2.

now, we have,

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

=5²/2² ^ 3⁶/2⁶

= 5² * 3⁶ / 2² * 2⁶

=5² * 3⁶  / 2 ^ (2+6)

=5² * 3⁶  / 2 ^8

=25 * 729/ 256

=18225/ 256

=71.19

learn more on expression:

https://brainly.com/question/27037536

#SPJ1

If the Coach chooses the Three-Year Plan, what is the total amount he will spend after 12 months? ANSWER QUICK ILL GIVE BRAINLIST!​

Answers

Answer:

$17,320 after 12 months.

Step-by-step explanation:

f the Coach chooses the Three-Year Plan, the total amount he will spend after 12 months can be calculated as follows:

First, we need to calculate the total amount of monthly payments made in 12 months:

12 months x $610 per month = $7,320

Then, we need to add the down payment made at the time of purchase:

$7,320 + $10,000 = $17,320

Therefore, if the Coach chooses the Three-Year Plan, he will spend a total of $17,320 after 12 months.

100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!

Answers

Answer:

Refer to the step-by-step.

Step-by-step explanation:

Verify the given identity.

[tex]E_0\cos^4(\theta)=E_0(\frac{1}{2} +\frac{\cos(2\theta)}{2} )^2[/tex]

Pick the more complex side to manipulate, in this case it is the R.H.S.

(1) - Apply the following double-angle identity

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Double-Angle Identity:}}\\\\\cos(2A)=1-2\sin^2(A)\end{array}\right}[/tex]

[tex]E_0(\frac{1}{2} +\frac{\cos(2\theta)}{2} )^2\\\\\Longrightarrow \boxed{ E_0\Big(\frac{1}{2} +\frac{1-2\sin^2(\theta)}{2}\Big )^2}[/tex]

(2) - Split of the right fraction

[tex]E_0(\frac{1}{2} +\frac{1-2\sin^2(\theta)}{2} )^2\\\\\Longrightarrow E_0(\frac{1}{2} +\frac{1}{2} -\frac{2\sin^2(\theta)}{2})^2\\\\\Longrightarrow \boxed{E_0(1 -sin^2(\theta))^2}[/tex]

Apply the following Pythagorean identity

[tex]\boxed{\left\begin{array}{ccc}\text{\underline{Pythagorean Identity:}}\\\\1-\sin^2(A)=\cos^2(A)\end{array}\right}[/tex]

[tex]E_0(1 -sin^2(\theta))^2\\ \\\Longrightarrow E_0(\cos^2(\theta))^2\\\\\therefore \boxed{E_0\cos^4(\theta)=E_0\cos^4(\theta)}[/tex]

Thus, the identity is verified.

It has been proven and verified that [tex]E_0cos^4 \theta = E_0(\frac{1}{2} +\frac{cos2 \theta}{2} )^2[/tex] below.

How to verify the equality of the cosine function?

In Mathematics and Geometry, the standard equation of a cosine function is represented or modeled by the following mathematical equation (formula):

y = Acos(Bx - C) + D

Where:

A represents the amplitude.B = 2π/P.P represents the period.C represents the phase shift.D represents the center line (midline).

In this exercise, you are required to prove that the right-hand side of the cosine function is equal to left-hand side of the cosine function;

[tex]E_0cos^4 \theta = E_0(\frac{1}{2} +\frac{cos2 \theta}{2} )^2[/tex]

From the double-angle formulas, we have:

2sin²θ = 1 - cos2θ

cos2θ = 1 - 2sin²θ

Next, we would evaluate the right-hand side of the cosine function by substituting "1 - 2sin²θ" for cos2θ as follows;

[tex]E_0cos^4 \theta = E_0(\frac{1}{2} +\frac{1-2sin^2 \theta}{2} )^2\\\\E_0cos^4 \theta = E_0(\frac{1}{2} +\frac{1}{2} -\frac{2sin^2 \theta}{2})^2\\\\E_0cos^4 \theta = E_0(1 -\frac{2sin^2 \theta}{2})^2\\\\E_0cos^4 \theta = E_0(1 -sin^2 \theta)^2\\\\[/tex]

E₀cos⁴θ = E₀(1² - (sin²θ)²)

E₀cos⁴θ = E₀(1 - sin⁴θ)  ⇒ (Verified).

Read more on cosine function here: https://brainly.com/question/26993851

#SPJ1

Find the sum of -17x,-15x,-2x

Answers

-17x + (-15x) + (-2x) = -17x-15x-2x = -34x

Five runners need to be arranged in 5 lanes for a race so that there is a runner in each lane

How many unique ways are there to arrange the numbers in the 5 lanes

Answers

Step-by-step explanation:

5 P 5 = 120 ways = 5!

PLEASE HELP ME
Which of these triangles are definitely right triangles?
(Note that not all triangles are drawn to scale.)
(Select all that apply.)
A
B
C
D
E

Answers

Answer:

I'd like to explain more but I have limited comment

chat me up

A

John collected data to determine how many minutes his teammates spend practicing basketball each night. Identify the outlier in his data.

Question 1 options:

10 minutes


40 minutes


30 minutes


5 minutes

Answers

Answer:

Step-by-step explanation:

5 minutes is the outlier. It sticks out from the rest.

In a certain Integrated Math II class of 29 students, 6 of them play golf and 14 of them play soccer. There are 9 students who play neither. Create a table to find probabilities.
5. What is the probability that a student chosen randomly from the class plays golf or
soccer?
6. What is the probability that a student chosen randomly from the class plays golf and soccer?
I rlly need the help!

Answers

The solution is:

20/29 is the probability that a student chosen randomly from the class plays golf or soccer.

0 is the probability that a student chosen randomly from the class plays golf and soccer.

Here, we have,

given that,

In a certain Integrated Math II class of 29 students, 6 of them play golf and 14 of them play soccer.

There are 9 students who play neither.

Number of students that play = 20

let, students play golf = A

students play soccer = B

so, given that,

n ( A) = 6 and, n ( B) = 14

so, total sample space = 29

now, P(A) = 6/29

P(B) = 14/29

and, P(students who play neither) = 9/29

we get, 6/29 + 14/ 29 + 9/29 = 29/29 = 1

i.e. there are no students who play both golf and soccer = 0

all the events are independent.

so, we have,

the probability that a student chosen randomly from the class plays golf or soccer = P(A) + P(B)

               = 6/29 + 14/ 29

               = 20/29

and, the probability that a student chosen randomly from the class plays golf and soccer = 0.

Find out more on probability at

brainly.com/question/29347656

#SPJ1

The equilateral triangle shown has a perimeter of 30 inches and a height of a inches.
What is the value of a?
O 5 in
O 5√3 in
O10 in
•10√3 in

Answers

The height of the equilateral triangle is a = 5√3 inches

Given data ,

Since the triangle is equilateral, all sides are of equal length.

Let's call the length of one side x.

Therefore, the perimeter of the triangle is 3x, which is given to be 30 inches.

On simplifying , we get

3x = 30

x = 10

Now, we know that the height of an equilateral triangle is given by the formula:

height = √3/2 x

Substituting the value of x, we get:

height = √3/2 x 10

height = 5√3 inches

Hence , the height of triangle is 5√3 inches

To learn more about equilateral triangle click :

https://brainly.com/question/17824549

#SPJ1

The equation a(s) = 37.5s - 1.5s2 models the function
represented in the table. Fill in the blank to complete the
restricted domain of the function. D = {0 ≤s ≤

Answers

The restricted domain of the function is 0≤s≤25

The equation is a(s) = 37.5s - 1.5s²  models the function represented in the table

a(s) = s(37.5 - 1.5s)

The critical points are s=0 or

37.5 - 1.5s

37.5 = 1.5s

s=25

As area can not be negative, the area should be positive

s< 0 and s>25

Therefore, restricted domain is 0≤s≤25

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ1

A random sample of 16 ATM transactions shows the mean transaction time of 2.8 minutes with a standard deviation of 1.2 minutes. Can you show the width of the 90 percent confidence interval for the true mean transaction time?

Answers

The width of the confidence interval is 1.2786.

From the question we are told that

The sample size is n = 16    

The mean time is x = 2.8 minutes

The standard deviation is = 1.2 minutes

Generally, the degree of freedom is mathematically represented as  

df = n-1

df = 15

From the question we are told the confidence level is 95%, hence the level of significance is =

α = 100-95

α = 0.05

Generally, the margin of error is mathematically represented as =

[tex]E = t_{\alpha/2}, 15 \times \sigma/\sqrt{n}[/tex]

E = 2.131 × 1.6 / √16

E = 0.6393

Generally, the width the confidence 95% confidence interval  

W = 2E

W = 1.2786

Hence the width of the confidence interval is 1.2786.

Learn more about confidence interval click;

https://brainly.com/question/13067956

#SPJ1

If a town's population doubles every 4 years, how
many people will be in the down 12 years later if the
current population is 28,100? y = ab*

Answers

The population of the town 12 years later will be 224,800 if the current population is 28,100 and the population doubles every 4 years.

Since the population doubles every 4 years, we can use the formula:

P = P0 x [tex]2^{t/4}[/tex]

where P0 is the initial population, t is the time elapsed in years, and P is the population after time t.

In this case, the initial population P0 is 28,100, and we want to know the population after 12 years, so t = 12. Substituting these values into the formula, we get:

P = 28,100  2^(12/4)

  = 28,100 x 2³

  = 28,100 * 8 = 224,800

To learn more about the exponential growth;

https://brainly.com/question/12490064

#SPJ1

If p(x)=0.5(x-5)^2+14, what is the value of p(3)

Answers

Answer:

p(3) = 16

Step-by-step explanation:

to evaluate p(3) substitute x = 3 into p(x)

p(3) = 0.5(3 - 5)² + 14

      = 0.5(- 2)² + 14

      = 0.5(4) + 14

      = 2 + 14

      = 16

Please help really urgent

Answers

Answer:

0.0909

Step-by-step explanation:

4 blue + 5 red + 3 black = 12 chips in total.

p=probability

1st draw:

p (blue) = 4/12

there are now 11 chips in the bag, 4-1 =3 are blue.

2nd draw?

p (blue) = 3/11

probability of pulling one blue chip followed by another blue chip is:

(4/12) X (3/11) = (4X3)/12X11)

= (12)/(132)

= 1/11

0.0909

convert 500 cm to m?​

Answers

Hello!

m     dm    cm    mm

5   ,   0        0

500cm = 5m

(22-26)²+(34-26)²+(30-26)²+(14-26)²+(30-26)[tex]\frac{x}{y}[/tex]5

Answers

Answer:

[tex]20x+240y/y[/tex]

Step-by-step explanation:

1. Subtract the numbers

2. Evaluate the exponents

3. Subtract the numbers, again

4. Have a great day and thx for your inquiry :)

i really need the answer to this, can anyone help me please?

Answers

The value of total area of the shape is,

⇒ 82 cm²

We have to given that;

Figure of shape is shown.

Since, Figure is made by three rectangles.

And, Area of rectangle is,

A = length x width

Hence, The area of upper rectangle is,

A = 3 x 8

A = 24 cm²

Area of middle rectangle is,

A = (11 - (3 + 5)) x (8 - 2)

A = 3 × 6

A = 18 cm²

Area of lower rectangle is,

A = 5 x 8

A = 40 cm²

Thus, The value of total area of the shape is,

⇒ 24 + 18 + 40 cm²

⇒ 82 cm²

Learn more about the rectangle visit:

https://brainly.com/question/2607596

#SPJ1

Bir saat 4:15 saat ve dört yarım saat kaç şey kaç saat eder

Answers

Answer:

dört yarım saat 2 saattir

Step-by-step explanation:

In Exercises
frequencies.
9.
Gender
9 and 10, find and interpret the marginal
(See Example 1.)
Male
Female
Set Academic Goals
No
168
142
Yes
64
54
suport
no sas8

Answers

09. The total sample, 118 individuals set academic goals (regardless of gender), while 310 individuals did not set academic goals.

10. The total sample, 290 individuals have cats, while 306 individuals do not have cats. Furthermore, 312 individuals have dogs, while 284 individuals do not have dogs.

In order to find the marginal frequencies, we need to calculate the totals for each category separately.

For question 9:

The marginal frequency for "Set Academic Goals - yes" is 64 + 54 = 118. This represents the total number of individuals who answered "yes" to setting academic goals.

The marginal frequency for "Set Academic Goals - no" is 168 + 142 = 310. This represents the total number of individuals who answered "no" to setting academic goals.

The marginal frequency for "Male" is 64 + 168 = 232. This represents the total number of males.

The marginal frequency for "Female" is 54 + 142 = 196. This represents the total number of females.

Interpretation:

The marginal frequencies provide us with the total counts for each category in a contingency table. In this case, we can see that out of the total sample, 118 individuals set academic goals (regardless of gender), while 310 individuals did not set academic goals. Additionally, there were 232 males and 196 females in the sample.

For question 10:

The marginal frequency for "Cat - yes" is 104 + 186 = 290. This represents the total number of individuals who have cats.

The marginal frequency for "Cat - no" is 208 + 98 = 306. This represents the total number of individuals who do not have cats.

The marginal frequency for "Dog - yes" is 104 + 208 = 312. This represents the total number of individuals who have dogs.

The marginal frequency for "Dog - no" is 186 + 98 = 284. This represents the total number of individuals who do not have dogs.

Interpretation:

The marginal frequencies reveal the total counts for each category in the contingency table. In this case, we can observe that out of the total sample, 290 individuals have cats, while 306 individuals do not have cats. Furthermore, 312 individuals have dogs, while 284 individuals do not have dogs.

To learn more about the relative frequency;

https://brainly.com/question/29739263

#SPJ1

The equation y=195(1.10)x can be used to represent growth in the number of Salad Supreme restaurants since 2005. Which is the most reasonable conclusion based on this information? A. Salad Supreme had 110 restaurants in 2005. B. Salad Supreme is increasing the number of restaurants by 10% each year. C. Salad Supreme is increasing the number of restaurants by 195 each year. D. Salad Supreme is increasing the number of restaurants by 110% each year.

Answers

The most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year. Option B

How to determine the most reasonable conclusion

Based on the given equation y = 195(1.10)^x, where x represents the number of years since 2005 and y represents the number of Salad Supreme restaurants, we can draw the following conclusions:

A. Salad Supreme had 110 restaurants in 2005: This conclusion is not supported by the given equation.

B. Salad Supreme is increasing the number of restaurants by 10% each year: This conclusion is supported by the equation.

C. Salad Supreme is increasing the number of restaurants by 195 each year: This conclusion is not supported by the equation.

D. Salad Supreme is increasing the number of restaurants by 110% each year: This conclusion is not supported by the equation. The growth factor of 1.10 (or 10%) indicates a 10% increase each year, not 110%.

Therefore, the most reasonable conclusion based on the given information is: Salad Supreme is increasing the number of restaurants by 10% each year.

Learn more about equation at https://brainly.com/question/29174899

#SPJ1

Other Questions
describe a potential solution or technique that can prevent or reduce degradation of agricultural land. when the atria contract (a phase called ), the ventricles are relaxed ( ). this allows blood to move from the atria into the ventricles. The net price of a HDTV with a 25% trade discount rate is $1300. Find the list price an astronomer studying the spectrum of a distant galaxy finds that its recessional velocity is 1,100 km/s. what is the distance to the galaxy? take hubble's constant (h0) to be 22 km/s/mly the absence of surviving examples in what makes it almost impossible to evaluate the roman contribution in this category? source of variation sum of squares degrees of freedom mean square f between treatments 2,073.6 4 between blocks 6,000.0 5 1,200 error 20 288 total 29 the test statistic to test the null hypothesis equals . a. 4.17 b. .432 c. 1.8 d. 28.8 a superordinate goal is a higher goal that integrates the efforts of two or more persons. true false suppose in the game show problem described in exercise 3.2.2.2, it is uncertain whether the host will offer to let you switch to the alternative door a from your chosen door c after he has shown you that the car is not behind door b. if you believe that he is three times as likely to offer to let you switch if the car is behind door c than if it is behind door a, should you switch if he offers you the chance? if you also believe, before making your choice, that the car is more likely to be behind one of the doors than the other two doors, which door would you choose to begin with? angela has struggled with drugs for quite some time and now has started using angel dust. this drug was developed in the 1950s as a general anesthetic for surgery, but it is no longer used for this purpose due to serious side effects. angela experiences numbness in the extremities and intoxication, characterized by staggering, unsteady gait, auditory hallucinations, and loss of balance. which category does this drug fall under? modern-day national party nominating conventions are generally ______. if you crash this project to reduce the total time by one day what is the total time of the project and total cost? On her first five Spanish tests, Coco received the following scores: 83, 90, 92, 85, and 96. What score must Coco earn on the sixth test so that her mean score for all six tests will be 90%? President vetoes the congressional Medal of Honor on a soldier.What role is that? _____ refers to our knowledge of ourselves, while _____ refers to whether we like ourselves.A. Self-esteem; self-conceptB. Self-concept; self-esteemC. Self-concept; narcissismD. Self-concept; self-verification Maintenance Management is part of the scope of work for Property Manager When your income changes from $450 to $550 per week, you buy 2 jars of pickles instead of the 3 you used to buy.The income elasticity of demand is (1) ["20", "-20", "-0.5", "0.5", "-2", "-40"] when people express their feelings to their romantic partners, they are: question 47 options: likely to become effective communicators but have more problems in relationships. less likely to be effective in communicating with others. likely to have fewer problems in relationships. likely to have more problems in relationships. Southern states were opposed to high tariffs in the mid-19th centurybecause:A. tariffs made it harder to sell crops to other countries.B. tariffs reduced the selling price of manufactured goods.C. tariffs led to more factories being built in the South.D. tariffs applied only to businesses that used the labor of enslavedpeople. To pay for a home improvement project that totals $20,000, a homeowner is choosing between two different credit card loans with an interest rate of 6%. The first credit card compounds interest semi-annually, while the second credit card compounds quarterly. The homeowner plans to pay off the loan in 10 years.Part A: Determine the total value of the loan with the semi-annually compounded interest. Show all work and round your answer to the nearest hundredth. Part B: Determine the total value of the loan with the quarterly compounded interest. Show all work and round your answer to the nearest hundredth. Part C: What is the difference between the total interest accrued on each loan? Explain your answer in complete sentences. When using SSL, the public key is found in a ______. a. digital certificate b. cookie c. smartfilter d. accelerator.