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

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

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)

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

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

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 !

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:

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]

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.

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

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

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

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.)  

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

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

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

Answers

Answer:        d

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

please answer question 3

Answers

Answer:

2/6

Step-by-step explanation:

I think the answer is D; 2/6.

whats the best lil peep song lol

Answers

Answer:

Nutz in my opinion

Step-by-step explanation:

Answer:

girls

Step-by-step explanation:

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

What is the solution to the following equation?
1

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

Answers

Answer:

y=(-3)

Step-by-step explanation:

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

Answers

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

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)

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

. 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

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

Which equation has a constant of proportionality equal to 3

Answers

Answer:

y=3x

Step-by-step explanation:

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

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!

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

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

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

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