[tex]-2(3 - 2x) = -6x + 8(x + 2)[/tex]
solve step by step​

Answers

Answer 1

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 11}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 2(3 - 2x) = - 6x + 8(x + 2)}[/tex]

Distribute -2 through the parentheses

Similarly, Distribute 8 through the parentheses

[tex] \dashrightarrow{ \sf{ - 6 + 4x = - 6x + 8x + 16}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 6 + 4x = 2x + 16}}[/tex]

Move 2x to left hand side and change it's sign

Similarly, move 6 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{4x - 2x = 16 + 6}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{2x = 16 + 6}}[/tex]

Add the numbers : 16 and 6

[tex] \dashrightarrow{ \sf{2x = 22}}[/tex]

Divide both sides by 2

[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{22}{2} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 11}}[/tex]

Hope I helped!

Best regards! :D


Related Questions

2x² - (5 + 2x) + 6x²

Answers

Answer:

8x²-2x-5

Step-by-step explanation:

2x²-(5+2x)+6x²

2x²-5-2x+6x²

2x²+6x²-2x-5

8x²-2x-5

Hope this helps ;) ❤❤❤

Answer:

[tex]8 {x}^{2} - 2x - 5[/tex]

Step-by-step explanation:

[tex]2 {x}^{2} - (5 + 2x) + 6 {x}^{2} [/tex]

[tex]2 {x}^{2} - 5 - 2x + 6 {x}^{2} [/tex]

[tex]8 {x}^{2} - 2x - 5[/tex]

Benn Cornell and Tom Ingulli drove to Chicago a distance of 510 miles, their car gets 23 miles per gallon of gasoline. gasoline costs them $2.59 per gallon. how much did they spend for gasoline on there trip?

Answers

Answer:

about $57.42

Step-by-step explanation:

we know how many miles they drove in all (510) and how many miles they can drive per gallon (23)

we need to find out how many gallons of gas they used by dividing the total number of miles they drove (510) by the number of miles per gallon (23) which is about 22.17

510 ÷ 23 = 22.17

we then need to find out how much money they spent on the total number of gallons of gas they purchased by multiplying 22.17 by the amount of money for one gallon of gas ($2.59)

22.17 × 2.59 = $57.42

You start at (7, 1). You move right 3 units.

Answers

Answer:

4,1

Step-by-step explanation:

what is 2k-3(2k-3)=45

Answers

Answer:

k = -9

Step-by-step explanation:

if f(x)=4x^2-6

find all x such that f(x)= 106

Answers

Answer:

50

Step-by-step explanation:

Answer:

[tex]2\sqrt7,-2\sqrt7[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=4x^2-6[/tex]

And we want to find all x such that f(x) is 106. So, substitute 106 for f(x):

[tex]106=4x^2-6[/tex]

Add 6 to both sides:

[tex]112=4x^2[/tex]

Divide both sides by 4:

[tex]x^2=28[/tex]

Take the square root of both sides:

[tex]x=\pm\sqrt{28}[/tex]

Simplify the square root:

[tex]x=\pm\sqrt{28}=\pm\sqrt{4\cdot 7}=\pm2\sqrt7[/tex]

So, those are the two values that will satisfy our requirement.

And we're done!

An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 24 ft of crown molding?

Answers

Answer: 123$

Step-by-step explanation:

I dont even know but this gives me free five points

it will cost $123 to buy

if Xandy are integers and(x-y)=4, what is the main minimum possibile value of xy? ​

Answers

Answer:

-4

Step-by-step explanation:

Hello,

x-y=4 <=> x=y+4

so, xy=y(y+4)

[tex]y(y+4)=y^2+4y=(y+2)^2-4[/tex]

so this is minimum for y = -2 and the minimum value is -4

thanks

Your cell phone dies. Cost of repair is $20 plus $16 per hour. You have $68 for the repair. How many hours can you afford?

Answers

Answer:

3 hours

Step-by-step explanation:

$20 + $16 = $36 base

$36 + $16 = $52

$52 + $16 = $68

3 HOURS

What is the base 2 equivalent of 6010? * 111101 base 2 111100 base 2 110000 base 2 110100 base 2

Answers

Answer:

111100 base 2

Step-by-step explanation:

The conversion of 60 base 10 to base 2

When converting a number from base 10 to base 2, the following steps are taken:

a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.

b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.

60 base 10 to base 2

60 ÷ 2       =       30  remainder  0

30 ÷ 2       =        15 remainder   0

15 ÷ 2       =         7   remainder   1

7 ÷ 2        =          3  remainder   1

3 ÷ 2        =          1   remainder   1

1 ÷ 2         =          0  remainder   1

The remainder from bottom to top is 111100 base 2.

(60)₁₀ = (111100)₂

Cups of dog food is recommended for a 25 pound dog

Answers

Answer:

100 cups of food is for a 25 pound dog

I believe a hundred cups

The sum of five and triple a number what is it please

Answers

Answer:

5 + 3a

Step-by-step explanation:

The expression is:

5 + 3a

what is the answer for 5(u-5)

Answers

Answer:

5u-25

Step-by-step explanation:

We have to simplify by distributing 5 to the variable and the number.

5(u-5)

5(u)5(-5)

5u-25

Pls answer the question I need it asap I'm literally crying

Answers

You do 32 quarters which is eight dollars we need eight dimes
8 dimes. because 80 cents is 8 dimes

Horizontal and parallel lines b and c are cut by transversal a. At the intersection of lines b and a, the bottom right angle is 50 degrees. At the intersection of lines c and a, the top left angle is y degrees. What is the value of y? y = 30 y = 50 y = 110 y = 130

Answers

Answer:

y=50

Step-by-step explanation:

look at photo attached

Answer:

y=50

Step-by-step explanation:

on edge2021

Mateo He’s going to solve the equation below. Which of the following represents the equation after combining the terms? -8x +23-22+9=182

Answers

Answer:

-21.5

Step-by-step explanation:

-8x+23-22+9=182

-8x+1+9=182

-8x+10=182

     -10   -10

-8x=172

x=172÷-8

x=-21.5

-21.5 IS THE ANSWER

Zx and Zy are supplementary angles. Zy measures 116º.
What is the measure of Z?

Answers

I think 64 but I’m not sure

A rectangle has a length of 12 yards less than 10 times it’s width. If the area of the rectangle is 880 yards

Answers

Answer: The length is 88 yards  and the width is 10 yards. Look into the steps for more information.

Step-by-step explanation:

The length is 12 yards less than 10 times the width so we can represent that by the equation  L = 10w - 12  

And the area is 880  so the width times the length has to equal 880. the width is w and the length is 10w -12

w( 10w -12 ) = 880   solve for w

10w^2 - 12w  = 880    subtract 880 from both sides

              -880   -880

10w^2 - 12w - 880 = 0     They share the same factors so dive each side by 2

5w^2 - 6w^2 - 440 = 0  

a= 5     b = -6  and c=-440

The quadratic formula says that x= -b ± [tex]\sqrt{b^2- 4ac} / 2a[/tex]  

   x= 6 ±[tex]\sqrt{8836} / 5[/tex]  

x= 6 ± 94  /10

x= 100 /10

x = 10  

In this case the width is 10 yards.

The length is 12 less than 10 times the width .

So   L  = 10(10) - 12

   L =  100- 12

  l = 88  

So the length is 88

The required length and width are 229 and 27 yards.

It is required to find the dimension of rectangle.

What is rectangle?

A rectangle is a type of quadrilateral, whose opposite sides are equal and parallel. It is a four-sided polygon that has four angles, equal to 90 degrees. A rectangle is a two-dimensional shape.

Given:

A=l*w

w=width

10w-12=length

According to given question we have,

6183=(10w-12)(w)

6183=10[tex]w^{2}[/tex]-14w

9[tex]w^{2}[/tex]-14w-6183=0

By simplify we get,

(9w+229)(w-27)=0

w-27=0

w=27 yards

l=9*27-14=229 yards

Therefore, the required length and width are 229 and 27 yards.

Learn more details about rectangle here:

https://brainly.com/question/15019502

#SPJ2

Find a parametrization of the circle of radius 3 in the xy-plane, centered at (−2,2), oriented counterclockwise. The point (1,2) should correspond to t=0. Use t as the parameter for all of your answers.

Answers

Answer:

x = 3*cos(t) - 2  

y = 3*sin(t) + 2  

Step-by-step explanation:

The equation for a circle of radius 3 and centered at the point ( h , k )           (  -2 , 2 ) is:

( x - h )²  +  (  y  - k )²  = r²

In this particular case

h = - 2   k = 2    and  r = 3

Then to parametrizace the equation

x  = r* cos(t) +  h

y = r*sin(t)  + k

x =  3*cos(t) + (- 2)       ⇒   x = 3*cos(t) - 2    

y = 3 *sin(t) + (2)          ⇒   y = 3*sin(t) + 2

Now :

when t = 0   x should be  1

Then   x = 3 cos(0) - 2      x  = 3 - 2        x  = 1

and t = 0   y should be 2

Then   y = 3*sin(t) + 2    ⇒  y =  3*sin(0) + 2       y  =  2

What is 7x+7=2(x+1)

Answers

Answer:

7X+7=2(X+1)

7X+7=2X+2

7x-2X =2-7

5X/5 =-5/5

. X =-1

(−8r5t8)(−5rt) Please help

Answers

Answer:

40r^6t^9

Step-by-step explanation:

What is a number multiplied by 12 is 84

Answers

Hey there! I'm happy to help!

Let's call our number n. Here is the information we have.

n×12=84

We want to figure out what n equals. To do this, we have to get it by itself in the equation. What we will do is cancel out the 12 by dividing both sides by 12.

n×12/12=84/12

n=7

Therefore, our number is 7.

Have a wonderful day! :D

can someone help me with this?​

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ The pattern is y ÷ 8. (So just divided by 8 each time.)

  ✧ 512 ÷ 8 = 64

  ✧ 64 ÷ 8 = 8

  ✧ 8 ÷ 8 = 1

  ✧ 1 ÷ 8 = 0.125

  ✧ 0.125 ÷ 8 = 0.015625

✦ So then the next values would be:  

  ✧ 8⁰ = 1

  ✧ 8⁻¹ = 0.125

  ✧ 8⁻² = 0.015625

~Hope this helps Mate. If you need anything feel free to message me.

Newton's Second Law states acceleration equals force
divided by mass, a = F/M. This graph shows f(x) = 5/x , an
acceleration based on a constant force of 5 Newtons
applied to different objects. How is f(x) transformed to
get g(x) and what is the new equation?

Answers

Answer:

2f(x); g(x) = 10/x

Step-by-step explanation:

The second option on edge

The new equation is, g(x) =2f(x), g(x) =10/x. Option B is correct.

What is a graph?

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Given data in problem is;

a = F/M

f(x) = 5/x

We have to examine each option given and observe the graph for the function we got;

g(x) = 2f(x)

Substitute the values we get;

g(x) =  2×(5/x)

g(x)=10/x

The new equation is, g(x) =2f(x), g(x) =10/x.

Hence, option B is correct.

The complete question and graph are attached below.

To learn more about the graph, refer to the link;

https://brainly.com/question/14375099

#SPJ2

I need help with this pls ASAP

Answers

Answer: G.

Step-by-step explanation: you should divide both sides by 3. 3 divided by 3 is 0, and -12 divided by 3 is -4. therefore, your answer is (0,-4)

Answer: G (0,-4)

Step-by-step explanation:

You can use this website called "Desmos Graphing Calculator." The answer is G.(0,-4). It helps me a lot with graphing and graphing linear equations.

Select the correct answer.
What is the solution for x in the equation?
-4 + 5x - 7 = 10 + 3x - 2x
A.x=4/21
B.x=21/4
C.x=13/4
D.x=4/13

Answers

Answer:

B

Step-by-step explanation:

I've taken a picture of the way I solved it.

The required simplified solution of the given expression is x=21/4. Option B is correct.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
-4 + 5x - 7 = 10 + 3x - 2x,


Adding alike terms and And isolate the terms containing variable x,
-11 + 5x = 10 +x
5x - x = 10 + 11
4x = 21
x = 21 / 4

Thus, the required simplified solution of the given expression is x=21/4. Option B is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Michael bought a classic car for $8,500. He restored it then added 150% markup before advertising it for sale. What is the amount of markup? is it 21250? or I'm I wrong thank you

Answers

Answer:

$12750

Step-by-step explanation:

Initial price = $8500

Markup = 150%

Markup amount:

$8500*1.5 = $12750

Selling price would be:

$8500 + $12750 = $21250


Express each rational number in decimal form
17)
[tex] - \frac{7}{4} [/tex]

Answers

Answer:

It is a negative 1.75. (-1.75)

write the sentence as an equation


the product of y and 6, add to 310 is y

Answers

y(6)+310=y

equals is =

product of is ×

add to is +

What are t + 8 + 3t terms and like

Answers

Answer:

t+8+3t

8+4t

Step-by-step explanation:

I guess the question is incomplete

If f(x)=(3+ X) over (X -3) what is f(a+2)

Answers

Answer:

5+a/a-1

Step-by-step explanation:

3+a+2/a+2-3=5+a/a-1

Other Questions
Simplify -4 1/6 - -6 1/3 Which of the following is correct? 1 What effect does cultural burning have on the land(A) It makes bushfires larger and more dangerous(B) It makes the soil better and helps plants grow(c) it causes the land to be ruined for many years(d) it causes fires to always start in the warmer months What is visual capture? Question 24The Sugar Sweet Company is going to transport its sugar to market. It will cost $4500 to rent trucks, and it will cost an additional $250 for each ton of sugartransported.Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use thisequation to find the total cost to transport 17 tons of sugar. Read each statement. Decide if it is true or false. The Americans want a new government. The Americans want to confirm their support of the British king. The Americans do not plan to support their complaints with evidence. The history of the present King of Great Britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute Tyranny over these States. To prove this, let Facts be submitted to a candid world. - The Declaration of Independence Usurpations means acts of taking something illegally. Absolute tyranny means abusive government. How did the Treaty of Paris 1783 change the political map of North America? a Great Britain gained land. b France ceded Florida and Spain. c The United States gained Florida from Spain. d The United States claimed land that had been under Great Britain's control. the quotient of 100 and w which is the best online free coding website Adult tickets for a charity concert were $5 each. Students were admitted for $2 each. The charity concertsold 700 tickets and made $3050. How many students attended the lecture? what influence from the ten commandments continues into our own time? Coach Kawa collected data on 5 of his baseball players. The points show shoe size and the number of runs scored this week by 4 of his players. Highest common factor of 72 and 96 Susan ran down the street. a transitive action verb b intransitive action verb c linking verb d none of the above what are 3 things rainsford have in common with General Zanoff Which is a long-term benefit of healthly eating? The table below shows air pressure measurements taken at set altitudes above sea level. What fact about Earths atmosphere best explains this data according to the table? Question 3 options: As altitude increases in the atmosphere, temperature changes from layer to layer. As altitude increases, there is less air pushing down from above, which decreases the pressure. As altitude increases, the composition of the atmosphere changes so that lighter-weight gases make up the majority of the air. At higher altitudes, there is less water vapor in the air which changes the air pressure. A can factory requires 2 sheets of metal to make 36 cans and 10 sheets of metal to make 180 cans. The proportionality constant between the number of cans made and the number of sheets of metal used is 36 18 288 5 Can somebody please solve these thank you! Is the phrase "plain surprise" an oxymoron? The signing of the Magna Carta extended rights to the __________. A. king B. Church C. military D. workers