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

can someone help me find the area please?

Answers

Answer:

100 in ^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+ b2) *h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 16+9) * 8

   = 1/2 ( 25) *8

   = 100 in ^2

1/2*(l+L)*h
1/2*(9+16)*8=100

Convert 23 miles to feet. (1 mile -= 5280 feet)

Answers

Answer:

121, 440 ft

Step-by-step explanation:

5280*23= 121, 440 ft

Raul is helping to make dinner for his family. To make a sauce for the chicken, he will use 1/3 cup of broth per serving of
chicken. He has a container with 1 3/4 cups of broth left.
How many servings of chicken can Raul make sauce for?
A.) 3 servings of chicken
B.) 4 servings of chicken
C.) 5 servings of chicken
D.) 6 servings of chicken
Please help..

Answers

Answer:

b

Step-by-step explanation:

SOLVE ONE AND TWO I WILL GIVE BRAINLIST

Answers

Answer:

1. The radius is 90 ft.

2. 31.4 cm.

Step-by-step explanation:

1. The way to find the radius with just the diameter, is to divide by two.

2. When finding circumference, you need to multiply the diameter by 3.14 (pi), making it 10 x 3.14.

Answer:

The radius is 90

Step-by-step explanation:

the line in the middle of the circle is the diameter so in order to find the radius you need to find half of the diameter. Half of the diameter (180) is 90 90 the radius is 90.

6^5 x 6^4=6 to the power of what

Answers

6^9
Because you add the powers 5+4

Answer:

6⁹

Step-by-step explanation:

HI there !

6⁵ ₓ 6⁴ = 6⁵⁺⁴ = 6⁹

Good luck !

Solve each equation for the indicated variable. u = -3a - 3 , for a

Answers

Answer:

[tex]a = \frac{u + 3}{-3}[/tex]

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation and stands for:

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, add 3 to both sides of the equation:

u = -3a - 3

u (+3) = -3a - 3 (+3)

u + 3 = -3a

Next, divide -3 from both sides of the equation:

(u + 3)/-3 = (-3a)/-3

a = (u + 3)/-3

[tex]a = \frac{u + 3}{-3}[/tex]  is your answer.

~

What is N + (n+2) when N = 62 and n = 64

Answers

62+66= 128, plugin the values; 62+(64+2)=128

PLEASE HELP ON THESE 2

Answers

The answers to these problems are 1.B and 2.C

What is the value of n?
What is the value of n?

Answers

Answer:

42

Step-by-step explanation:

You get 42 by looking at the denominators 7 and 21. You times by 3 to get from 7 to 21, so you times 14 by 3 to get n, which is 42.

Answer:

42

Step-by-step explanation:

On the bottom 7 was multiplied by 3 so you would do the same to 14.

One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
1.2 inches
1.8 inches
2.3 inches
3.2 inches

Answers

1.2 inches should be the correct answer

Answer:

A - 1.2

Step-by-step explanation:

You deposit $1,200 in a savings account that earns simple interest at a rate of 3% per year. How much interest will you have earned after 3 years? Formula I= Prt

Answers

Answer: $ 1,311.27

Step-by-step explanation:

Hope this helps!

The key concepts used to convert units between different systems of measurement are shown without the final two
steps.
1. Identify the units of measure to be converted,
2. Write conversion factors,
3. Cancel units.
4.
5.
Which two steps will complete the list correctly?
4. Divide the original measurement by the conversion factors.
5. Check for reasonableness,
4. Multiply the original measure by the conversion factors.
5. Simplify the answer.
4. Multiply the original measure by the conversion factors.
5. Check for reasonableness,
4. Divide the original measure by the conversion factors.

Answers

The final two steps used to convert units between different systems of measurement are given by;

Option C; 4. Multiply the original measure by the conversion factors.

5. Check for reasonableness

To answer this question, let us take an example of converting from inches to centimeters.

Let us convert 10 inches to centimeters.

First step is to identify the measure to be converted which in this case it is inches that is the measure.

Second step is to write the conversion factors which is;

1 inch = 2.54 cm

Third step is to cancel the units; In this case the units to be canceled will be inches.

Fourth step is to multiply the original measurement by the conversion factor to give; 10 × 2.54 cm = 25.4 cm

Fifth step is to check for reasonableness by trying to check if using another number will give a reasonable answer.

Read more at; https://brainly.com/question/17773791

Answer: The final two steps used to convert units between different systems of measurement are given by;

Option C; 4. Multiply the original measure by the conversion factors.

5. Check for reasonableness

To answer this question, let us take an example of converting from inches to centimeters.

Let us convert 10 inches to centimeters.

First step is to identify the measure to be converted which in this case it is inches that is the measure.

Second step is to write the conversion factors which is;

1 inch = 2.54 cm

Third step is to cancel the units; In this case the units to be canceled will be inches.

Fourth step is to multiply the original measurement by the conversion factor to give; 10 × 2.54 cm = 25.4 cm

Fifth step is to check for reasonableness by trying to check if using another number will give a reasonable answer.

the question is 7a + 10 = 2a

Answers

Answer:

a = -2

Step-by-step explanation:

Subtract 10 from both sides:

7a + 10 - 10 = 2a - 10

Simplify:

7a = 2a - 10

Subtract 2a from both sides:

7a - 2a = 2a - 10 - 2a

Simplify:

5a = -10

Divide both sides by 5 and simplify:

a = -2

Answer:

A = -2

Step-by-step explanation:

Subtract 10 from both sides:

7a + 10 = 2a -10

Simplify the expression, 7a = 2a - 10

Subtract 2a from both sides next

7a - 2a = 2a - 10 - 2a

Subtract 7a - 2a

5a = -10

5a / 5 = -10/5

a = -2

How do I find the missing side using the Pythagorean theorem?

Answers

Answer:

6.7082039325                         If you want to round it is 7

Step-by-step explanation:

a squared + b squared = c squared, where as 6 is a, 3 is b, and x is c.

6 squared + 3 squared is 36+9=45, so x is the square root of 45.

6.7082039325

Help ASAP please and thank you

Answers

Answer:

I'm pretty sure its 18!

Step-by-step explanation:

Negative times Negative is a positive.

2×9 is 18 so that's the answer!

Answer:

18

Step-by-step explanation:

-2 x -9 = -2(-9)

Multiplying two negatives equals a positive

and 2 x 9 equals 18.

(-) x (-) = (+)

Sorry if it doesn't make sense.

What are the x-intercept and y-intercept of the
graph of 5x + 8y = 207 Identify the intercepts &
choose the graph.

Answers

Answer:

X-Intercept (s)  (207/5, 0)

Y-Intercept (s) (0, 207/8

Step-by-step explanation:

To find the x-intercept, substitute in 0 for y and solve for x . To find the y-intercept, substitute in 0 for x and solve for y .

George’s age is three times that of his brother. When you add George’s age to his brother’s, you get 24. How old is each brother?
a) Write an equation that represents the situation. Explain any variable used.
b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.

Answers

Answer:

G=18

Step-by-step explanation:

George-G

1/3G+G=24

4/3G=24

3/4*4/3G=24*3/4

G=18

George will be 18 years old there we can find his brothers age by dividing it by three thus 18/3=6

Answer:

George is 18 and his brother is 6

Step-by-step explanation:

let the brother's age be n then George's age is 3n ( 3 times his brother's age )

n + 3n = 24 ( sum of their ages )

4n = 24 ( divide both sides by 4 )

n = 6

and 3n = 3 × 6 = 18

George is 18 years old and his brother is 6 years old.

Through (1,-4) Slope = -8
A. Rewrite the equation of the line in slope intercept form
B. Identify the slope and y intercept
(Show steps )

Answers

Answer:

Rewriting the equation in slope intercept form is: Y= -8x+4

Step-by-step explanation:

Im sure there's a faster way to solving this, but I'm just in 8th grade so I'm gonna apply what I know so far.

First of all, we know that our slope is -8... so we have y= -8x so far

From here, to find out y intercept I knew that our slope deals with all the points assigned, therefore we know that from -4 the change would be -8 so we get -12. We can also go the other way. This means that we plus 8 to get positive 4. (Side note: the change in our x value is 1 so we know that our y intercept is always dealing with a 0 in the x position) ex. (0,9) the y intercept would be 9.

To wrap things up, the slope is -8 and the y intercept is 4.

We then get Y= -8x+4

Hope this helps! :)

5 less than the product of a number n and 3

Answers

Step-by-step explanation:

5 - 3n

I think sooooooo

Find the zero of the function.
f(x) = -6x + 18

Answers

Answer:

(3,0)

Step-by-step explanation:

f(x) = -6x + 18

Let f(x) = 0

0 = -6x + 18

Subtract 18 from each side

-18 = -6x

Divide by -6

-18/-6 = -6x/-6

3 =x

The zero is 3

Answer:

(3,0)

Step-by-step explanation:

How many ounces are in 4 1/2 quarts

Answers

144 fluid ounces i had this it is really easy mine was just a simple look at the passage I had to read

Need help ASAP! Tysmm

Answers

Answer:

26

Step-by-step explanation:

-4*2+3*4-2

16+3*4-2

16+12-2

28-2

26. PEMDAS

evaluate 36÷6x2+9 whats the answer​

Answers

21 fffffffffffff ghgghhhh

Answer:

21

BIDMAS

36 divided by 6 = 6

multiply by 2

add 9

The clocks shows when Tisa’s movie started and ended. How long did the last movie last? Plz hurry I need to finish

Answers

Answer:

it last 2 hours and 30 min

Step-by-step explanation:

The last movie was 2hr and 30 min I think

help please (: this has something to do with geometry!!

Answers

64° because the equation would be everything added equal to 360 so 180+90+26+x=360 so when you solve 296+x=360 , then you subtract 297 from both sides so you end up with x=64

Answer: x=64°

Step-by-step explanation:

According to the diagram, the two intersecting lines are perpendicular. That means each part is 90°. Since the left side is labelled to be 180°, we know that the sum of the right side is also 180°.

26+x+90=180            [combine like terms]

116+x=180                  [subtract both sides by 116]      

x=64°

Now, we know that x=64°.

On the other hand, we can see that 26+x=90. We can also use that to solve for x.

26+x=90                    [subtract both sides by 26]

x=64°

Decide whether each table could represent a proportional relationship. If the relationship could be proportional, what would the constant of proportionality be?
1. How loud a sound is depending on how far away you are
5 85
10 79
20 73
40 67

b. The fountain drinks at hot dog hut.
16 1.49$
20 1.59$
30 1.89$

Note: All of these are tables which you have to find out the constant of proportinolity.
Extra points for good answers!

Answers

Table B represent a proportional relationship,where the constant of proportionality is 0.025
Step-by-step explanation:
Table B has a proportionality relationship.Treat the values in table as (x,y) values to be plotted on a graph tool.The result is a linear function with a positive slope of 0.030.The constant of proportionality is 0.030.Given;
Volume cost($)
16 1.49
20 1.59
30 1.89
Then you have ordered pairs of points as (16,1.49) ,(20,1.59), (30,1.89) .Using a graph tool, the results is a linear graph. Find the slope of the graph as;
m=Δy/Δx
For points (16,1.49) ,(20,1.59)
m=1.59-1.49/20-16
m=0.10/4 = 0.025
You notice that the expression for the relationship is;
cost($)= 0.025* Volume +1.09
y=0.025x+ 1.09 where the y-intercept is obtained by extrapolation of the line.

-3/5 x = 6 how do I solve for x

Answers

Divide the sides of the equation by -3/5 :

-3/5 ÷ -3/5 x = 6 ÷ -3/5

1 x = 6 × -5/3

x = -30/3

x = -10

and we're done.

good luck buddy ♥️♥️♥️♥️♥️.

NEED HELP QUICK! IT'S FOR AN ASSIGNMENT DUE TODAY!

Answers

Answer:

A =72 in^2

When dilated

    =1152 in ^2

Step-by-step explanation:

The area of the triangle is

A = 1/2 bh

We need to convert the units to match

2 ft= 24 inches

A = 1/2 ( 24*6)

A = 1/2 (144)

A =72 in^2

When dilated 6 inches *4 = 24 inches

                      24 inches *4 = 96 inches

A = 1/2 ( 96*24)

   = 1/2(2304)

    =1152 in ^2

how do you solve u = 3a/2 solving for a

Answers

Answer:

Step-by-step explanation:

a=2a/3. ✌️

The answer that I got is 2a/3

Is 1.6x-2.4y=4 a function? ​

Answers

Answer:

Yes it is a function

Step-by-step explanation:

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