Solve the inequality 2(7x -2) > 9x + 6

Answers

Answer 1

Answer:

[tex]2\left(7x-2\right)>9x+6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>2\:\\ \:\mathrm{Interval\:Notation:}&\:\left(2,\:\infty \:\right)\end{bmatrix}[/tex]

Step-by-step explanation:

[tex]2\left(7x-2\right)>9x+6[/tex]

[tex]2\left(7x-2\right)[/tex]

[tex]$a=2,\:b=7x,\:c=2$[/tex]

[tex]=2\cdot \:7x-2\cdot \:2[/tex]

[tex]=14x-4[/tex]

[tex]14x-4>9x+6[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]14x-4+4>9x+6+4[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]14x>9x+10[/tex]

[tex]\mathrm{Subtract\:}9x\mathrm{\:from\:both\:sides}[/tex]

[tex]14x-9x>9x+10-9x[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]5x>10[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}5[/tex]

[tex]\frac{5x}{5}>\frac{10}{5}[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x>2[/tex]


Related Questions

what is 20x+8 =4÷2 please help​

Answers

Answer:

- 0.3

Step-by-step explanation:

Step 1:

20x + 8 = 4 ÷ 2     Equation

Step 2:

20x + 8 = 2      Divide

Step 3:

20x = - 6      Subtract 8 on both sides

Step 4:

x = - 6 ÷ 20     Divide

Answer:

x = - 0.3

Hope This Helps :)

Answer:

x = - 3/10

Step-by-step explanation:

Hi !

20x + 8 = 4 : 2

20x = 2 - 8

20x = - 6

x = - 6/20

x = - 3/10

Good luck !

Explain how to find the perimeter of a rectangle given the length is (2x - 4) and the width is (4x + 5).

Answers

Answer:

12x+2

Step-by-step explanation:

multiply width and length by 2 and add them together

Suppose that tuition at a state college was $3500 per year in 1995 and has been increasing at a rate of $225 per year. Write a prediction equation in slope-intercept form that expresses this information. (Do not space between the numbers and the symbols

Answers

Answer:

3500+225x

Step-by-step explanation:

x = years after 1995. 1996 would be x = 1

A farmer has 160 bushels of apple to sell at his roadside stand. He sells an average of
14 3/5 bushels each day. Represent the total change in the number of bushels has for sale after 6 days.

Answers

Answer:

He sold 87-3/5 bushels in 6 days , he has 72-2/5 bushels left

Step-by-step explanation:

14-3/5 x 6 = Bushels sold in 6 days

Micah found the vertex for the function y= -9.5x? 47.5x+ 63 as shown. Find and correct Micah's error. Explain the error?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete as Micah's workings is not attached. So, there's no way to determine where Micah's error is.

However, I'll solve for the vertex of the given function.

Given

[tex]y = -9.5x^2 + 47.5x + 63[/tex]

Vertex, V is of the form:

[tex]V= (h,k)[/tex]

Where

[tex]h = -\frac{b}{2a}[/tex]

and

[tex]k = f(h)[/tex]

Solving for h:

[tex]y = -9.5x^2 + 47.5x + 63[/tex]

[tex]y = ax^2 + bx + c[/tex]

So:

[tex]a = -9.5[/tex]

[tex]b = 47.5[/tex]

[tex]c = 63[/tex]

[tex]h = -\frac{b}{2a}[/tex]

[tex]h = -\frac{47.5}{2 * -9.5}[/tex]

[tex]h = -\frac{47.5}{-19}[/tex]

[tex]h = \frac{47.5}{19}[/tex]

[tex]h = 2.5[/tex]

Solving for k

[tex]k = f(h)[/tex]

[tex]k = f(2.5)[/tex]

Substitute 2.5 for x in [tex]y = -9.5x^2 + 47.5x + 63[/tex]

[tex]k = -9.5 * 2.5^2 + 47.5* 2.5 + 63[/tex]

[tex]k = -59.375+ 118.75 + 63[/tex]

[tex]k = 122.375[/tex]

Hence:

The vertex is

[tex]V = (2.5,122.375)[/tex]

Answer:

if ur doing savvas

Step-by-step explanation:

answer for the first one is:
Micah used the wrong sign for b in the formula x=-b/2a

answer for the second one is:
vertex is = (-2.5, 122.375)

. Зх – 3y= 9 for D = {0 SXS 8}
у
о
3
8
PlZzz helppppppppp

Answers

Step-by-step explanation:

just do 3*- 3y and then the answer you get you do 3*8

What is the solution to the following equation?
1

3 (9-2y) = 5(2 - 3y) - 50

Answers

Answer:

y=(-3)

Step-by-step explanation:

whats the best lil peep song lol

Answers

Answer:

Nutz in my opinion

Step-by-step explanation:

Answer:

girls

Step-by-step explanation:

Which statement best describes the intersection of three planes? The planes could form one or two lines. The planes could form one, two, or three lines. The planes will form two lines. The planes could form one, two, or three lines, or they could intersect at exactly one point.

Answers

Answer:

fhe planes coukd form ons or two limez

The average cost of a home in a certain neighborhood ranges from $225,000 to $385,000. Write an absolute value inequality to model the average cost, C. of a home in this neighborhood.

Answers

Answer:

  D.  |C -305,000| ≤ 80,000

Step-by-step explanation:

Such an equation will say that the difference from the average of these values is at most half of their difference.

  | C -(225000+385000)/2 | ≤ (385000 -225000)/2

  |C -305,000| ≤ 80,000 . . . . . matches choice D

PLZ NEED HELP ASAP. Find the missing values for the table.

Answers

Answer:

candy 7

packs 5

Step-by-step explanation:

Answer:

Option A!

Step-by-step explanation:

Hey there!

To figure out the ratio of candies per packs, we divide 21 (candy) by packs (3) and we get 7. This means that there are 7 candies per pack! So, in 1 pack, there are 7 candies and when there are 35 candies, we divide 35 by 7 and get 5.

So, in one pack there are 7 candies and there are 35 candies in 5 packs.

Option A. Candy: 7 Packs:5

If my answer helped, please rate it and give it a Thanks!

Have a great day!

PLEASE HELP WHOEVER ANSWERS FIRST GETS BRAINLIEST

Answers

Answer:

8

Step-by-step explanation:

Answer:

8 ft

Step-by-step explanation

8x4=32, 8 ft on all 4 sides.

j(x)=−45x+7; j(x)=−5

Answers

Answer:

x = 4/15

Step-by-step explanation:

Step 1: Define

j(x) = -45x + 7

j(x) = -5

Step 2: Substitute and Evaluate

-5 = -45x + 7

-12 = -45x

x = 4/15

PLEASE HELPPPPPP!!!!!!! [easy]

Answers

Answer:        d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Which quantity is proportional to 21/28?
Check all that are true.
15/20
314
213
7/14
18/24
Please help me asap

Answers

18/24 is the correct answer

PLEASE HELP ME I DON'T UNDERSTAND SOMEONE PLEASE!!! Danielle can spend no more than $75 on clothes. She wants a pair of shoes for $40 and spends the rest on $12 scarves. Indetify the rate of change.

Answers

Answer:

She will have $23 left.

Step-by-step explanation:

I need help graphing 2x - 6y = 42 I'm just really lazy​

Answers

Answer:

We can use slope intercept form to get the points needed. Y= -7+1/3x The points are (0,-7) and (3,-6)

Step-by-step explanation:

Subtract 2x from the left side and place it over to the right side with the 42. Now we have -6y= 42-2x. From here we divide by -6 and we get y= -7+1/3x. We know that are slope is 1/3 which the one is the rise and the 3 is the run. We also know that our y intercept is -7. We plot the points at (0,-7) and (3,-6)

Raina corre 7 millas en 50 minutos. A esta misma tasa, ¿qué distancia en millas correría en 75 minutos?

Answers

Responder:

10.5 millas

Explicación paso a paso:

50 / 7 = 0.14

0.14 * 75 = 10.5

Espero que esto ayude :)

Given parameters:

Distance covered by Raina = 7 miles

Time taken = 50 minutes

Unknown:

Distance covered in 75 minutes = ?

To solve this problem, we have to find the speed of Raina during the first 50 minutes.

   Speed is the distance covered with time.

      Speed  = [tex]\frac{distance}{time taken}[/tex]  

   Input the parameters and solve;

     Speed  = [tex]\frac{7 miles }{50 minutes}[/tex]   = 0.14miles/min

Now, to find the distance covered in the second run;

     Distance  = speed x time taken

                      = 0.14miles/min x 75min

                      = 10.5miles

The distance covered in miles is 10.5miles

Find the value of x so that the function has the given value.

k(x)=6x−1/2; k(x)=18

Answers

Answer:

x = [tex]\frac{37}{12}[/tex]

Step-by-step explanation:

Given k(x) = 6x - [tex]\frac{1}{2}[/tex] and k(x) = 18, the equate the right sides, that is

6x - [tex]\frac{1}{2}[/tex] = 18 ( multiply through by 2 to clear the fraction )

12x - 1 = 36 ( add 1 to both sides )

12x = 37 ( divide both sides by 12 )

x = [tex]\frac{37}{12}[/tex]

what is 100+100+56+88+90=
then divide all of the numbers

Answers

Answer:

86.8

Step-by-step explanation:

100+100+56+88+90

divide the answer by 5

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation: (

100+100=200

200+56=256

256+88=342

342+90=432

432/5= 86.4

please answer question 3

Answers

Answer:

2/6

Step-by-step explanation:

I think the answer is D; 2/6.

Which equation has a constant of proportionality equal to 3

Answers

Answer:

y=3x

Step-by-step explanation:

6≥−6(a+2) solve and find the awnser

Answers

Answer:

[tex] - 3 \geqslant a[/tex]

Step-by-step explanation:

[tex]6 \geqslant - 6(a + 2)[/tex]

distribute -6 inside the parentheses

[tex]6 \geqslant - 6a - 12[/tex]

add 12 to both sides

[tex]18 \geqslant - 6a[/tex]

divide by -6 to isolate the variable

[tex] - 3 \geqslant a[/tex]

Answer:

-3<=a

Step-by-step explanation:

1. Get the -6 away, so multiply everything by -6.  6*-6 >= -6*-6(a+2)

2. This becomes -1 <= a+2   Since if you multiply or divide anything by a negative number, you have to reverse the inequality sign.

3. Subtract 2 to get a by itself    -1-2 >= a

4. This becomes -3 >= a   which is the right answer.

(Just so you know >=  and <=  means less than or equal to and more than or equal to.)  

List all the factors of 28 from least to greatest. Enter your answer below,
using a comma to separate each factor.
Answer here
SUBMIT

Answers

Answer:

1,2,4,7,14,28

Step-by-step explanation:

because I'm smart

An ion has a charge of +7. How far is it from being neutral?

a. -0.07
b. -7
c. 7
d. 70
e. 0.7​

Answers

Answer:

The answer is B. -7

Step-by-step explanation:

the -7 cancels out the +7 which makes it neutral

please help i really need this ill give brainliest if its correct

Answers

Answer: I'm pretty sure it's D.

if f(x) =- 3x - 9, find f(5)​

Answers

The value of f(5) will be "-24".

Polynomial functions

A function would be an equation that typically contains only non-negative integers (-) powers or even just positive integer (+) multipliers of variables, such as the quadratic function, cubed equation, and so forth, is considered as Polynomial functions.

According to the question,

The given function is:

f(x) = -3x - 9

By substituting "5" in place of "x", we get

→ f(5) = -3(5) - 9

By solving the bracket, we get

         = -15 - 9

         = -24

Thus the above response is correct.

Find out more information about function here:

https://brainly.com/question/24380382

Answer:

F(5)=6

Step-by-step explanation:

Just did the question on my test

4b-3b+7=10 Solve for b.

Answers

simplify left side to get b
b+7=10
-7 -7
—————
b=3

Answer:

b = 3

Step-by-step explanation:

Simplify 4b - 3b + 7 = 10

b + 7 = 10

Subtract 7 from both sides

b = 10 -7

Simplify 10 -7 to 3

b = 3

Hope this helps!

-Jerc

PLEASE MY CLASS ENDS IN 7 MINUTES!!! I DONT WANT TO FAIL!!

Answers

the answer is A i think

Answer:

I think B

Step-by-step explanation:

13.77 times the number of people gives you your answer, so probably C=13.77p

1. twice the square of the sum of a number and 3 is 98.find the number​

Answers

Answer:

Step-by-step explanation:

Let the number be x.

twice the square of the sum of a number and 3 is expressed as;

2(x+3)²

If the expression is equal to 98, then;

2(x+3)² = 98

divide both sides by 2;

2(x+3)²/2 = 98/2

(x+3)² = 49

square root both sides

√(x+3)² = √49

x+3 = ±7

x = ±7-3

x = 7-3 or -7-3

x = 4 or -10

Hence the number is 4 or -10

The number is -4 or 10

Let n represent the unknown number

The following equation can be used to summarise the information given in the question

2 × n² = 98

The first step to take in order to determine the value of n is to divide both sides of the equation by 2

n² = 98/2

n² = 49

The second step is to determine the square root of both sides of the equation

n =√49

n =-7 or +7

The number = - 7 + 3 = - 4 or 7 + 3 = 10

A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults

Other Questions
the average weight of 6 people is 173, a 7th person gets on and now the average weight is 165, how much did the 7th person weigh What is an early indicator of the formalization of cooking as a culinary art?O ovensO recipesO stovesO fireplacesO potsAnswer is Recipes 5.) You bought a new car and estimated that your monthly payment would be $312. However, your actualpayment amount is $325. How much error was in your estimate? A movie makes about $247,000,000 in the opening weekend. In the second weekend they only make $5,200,000. What is the combined revenue that they made on this movie in scientific notation? Help fast Does the equation below represent a relation, afunction, both a relation and a function, or neither arelation nor a function?Sy = 2 - 92 Which statement describes the direction of the current and the magnetic field when the left hand rule is being used? Each of your eight friends owes you 10$. use integer multiplaction to represent the total amount your friends owe you Ainsley walks 3/5 mile in 1/3 of a day. Sarah walks 5/8 mile in 2/6 of a day. Who walked farther, Ainsley or Sarah? Find the unit rate for each girl and then tell who you think walked farther with the correct unit rate given below. * What does the bridge sentence do? What angle would it be? Solve for x in the figure below.3xH4x+50W What was formed due to the nuclear fusionof atoms? Which of the following ports offers a fast connection that could be used to download and watch your favorite TV shows?EthernetmodemFireWireUSB Which statements correctly describe the political and religious conflicts between the Ottoman and Safavid empires.Question 7 options:A) The two empires experienced little conflict despite their close proximity to one another. Each empire attempted to convert the other to Christianity and persecuted their Muslim subjects.B) The Ottomans and Safavids were often at war as they attempted to add territory to their empires. The Ottomans belonged to the Sunni branch of Islam. The Safavids were Shi'ites and persecuted the Sunnis in their empire. Select the correct answer.Which statement best identifies the main idea for a summary of the excerpt?A. Sailing on the Rangoon, the passengers encounter a storm, but Phileas Fogg remains calm despite the factthat the weather will delay them by at least 20 hours.B. A strong storm hits while the Rangoon is sailing to Hong Kong. The storm is so strong that the ship is reallystruggling, and Phileas Fogg will lose his bet due to the delay.C. The ship, the Rangoon, is now slowed by a storm. It is being knocked around by the fury of the wavesdespite lowering its sails. If it makes it to port, the passengers will miss their next ship.D. The storm is setting the Rangoon behind by 20 days. But Phileas Fogg is calm as ever, even though he isgoing to lose the wager that he can get around the world in eighty days. (around the world in eighty days by Jules Verne)o Which equation is correctly rewritten to solve for y?12y + d = 19y + tA. Y= t+d/-7B. Y= -7(t+d)C. Y= t-d/31D. Y= 31(t-d) What happened to the rate of the reaction when the concentration was increased?Explain the effect of concentration on reaction rate in terms of collision theory. Your answer should include at least four complete sentences. a summary of the Louisiana purchase plz, help me !!! In The Odyssey - Elpenor, the rituals that Odysseus performs on the island show that the ancient Greeks respected and honoredtheir cows.the dead.the sea.their traditions. What were the roman consuls allowed to do in time of crisis?