Elena began to solve this equation:
12x + 6(4x + 3) =2(6x + 4) – 2
----------------------
3
12x + 6(4x + 3) = 3(2(6x + 4) - 2)
12x + 6(4x + 3) = 6(6x+ 4) – 6
12x + 24x + 18 = 36x + 24 - 6

When she got to the last line she stopped and said the equation is true for all values of x. How could Elena tell?​

Answers

Answer 1

Answer:

They have the same slope and y intercept after combining like terms, they are the same line and have infinetely many solutions.

Step-by-step explanation:

If you combine like terms it would give you 36x + 18 = 36x +18,

nThat's infinetely many solutions since they have the same slope and y-intercepts, therefore they are the same line.

Answer 2

The equation has infinitely many solutions. That means equation is true for all values of x.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

We have equation;

12x + 6(4x + 3) =2(6x + 4) – 2

And Elena solved,

12x + 24x + 18 = 36x + 24 - 6

Now, we will solve further,

36x + 18 = 36x + 18

That means equations are equivalent.

And there are two equations and one unknown.

So equation has infinitely many solutions.

Therefore, the equation has infinitely many solutions. That means equation is true for all values of x.

To learn more about the equation;

https://brainly.com/question/12788590

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Related Questions

HELP!! I WILL NAME BRAINLIEST!If f(x) = (x + 7), which of the following is g(x) based on the translation?
g(x) = (x + 9)2
g(x) = (x + 5)2
g(x) = (x - 9)2
g(x) = (x - 5)2

Answers

Answer:

g(x) = (x + 5)2

Step-by-step explanation:

:)

Greg bought 19 11/16 gallons of gas. What decimal should the meter on the gas pump read? (19 11/16 its a fraction) plss help <33

Answers

Answer:

That would be 19.6875 in decimal form.

Step-by-step explanation:

I need help asap please​

Answers

Answer:

NOT A FUNCTION

Step-by-step explanation:

hope this helps

What is the degree of the polynomial f(x)=5x^4 -7x^3-12x^2+4x-2?

Answers

The degree of the polynomial is 4.

Explanation: Look at the highest degree in the polynomial. The highest degree in the given polynomial is 4. (The 5x^4 contains the highest degree which is, of course, 4.)
I hope this helps.

How many solutions does the following equation have? |4x + 12| = 0
two solutions
one solution
infinitely many solutions
no solution

Answers

since its a inequality equation it will have Two solutions. one in - negative and other in + positive

Use the following function rule to find f(3).
f(x) = 12 – 3x
f(3)

Answers

Answer:

its 4

:))))))))))))))))) enjoy

i had fell asleep but this for the nikkas det wanted to see what i look like <3

Answers

Answer:

yes

Step-by-step explanation:

The system of equations below has exactly one (x, y) pair for its solution.

4x+6y=244x+6y=24
2x+y=82x+y=8
If we double each side of the second equation, 2x+y=82x+y=8, we have 4x+2y=164x+2y=16. Explain why the same pair that is the solution to the system is also a solution to this new equation.
If needed, you can support your explanation with hanger diagrams (upload a picture), or by inventing a situation that the equations represent.
If we add the two equations in the original system, we have 6x+7y=326x+7y=32. Explain why the same (x, y) pair is also a solution to this equation.
Again, you can support your explanation with diagrams or a situation, if needed.

Answers

Answer:

7.9

Step-by-step explanation:

because you don't make sentence

What is the probability of picking a diamond card on a deck of cards

Answers

There are 13 diamond cards in a stack of 52 cards,

so the probability of picking a diamond is 13/52 or 1/4

Answer:

very low chance

Step-by-step explanation:

this is because onñy wbout 1 or 2 of those cards come in a deck, if not none

The table shows some points on the graph of an exponential function g what is the range of g

Answers

Answer:

Range : [1, 81]

Step-by-step explanation:

Domain:  

Domain is a set of points representing x-values (input values) for any function.

Range:

Range of a function is represents the y-values or output values.

From the table attached,

Domain: [0, 4] Or 0 ≤ x ≤ 4

Range : [1, 81] Or 1 ≤ y ≤ 81

Answer:

all whole numbers

Step-by-step explanation:

range = all whole numbers

Please Answer this quick!

Answers

Answer:

n = -1

Step-by-step explanation:

First distribute the -4

15-4n+8=27

Combine 8 & 15

-4n+23=27

Subtract 23 from each side

-4n=4

Divide each side by -4

n=-1

Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!

Answer:

n= -1

Step-by-step explanation:

15-4(n-2)=27 do the () first

15-4n+8=27  subtract 15 and 8 from both sides to get the -4n alone

-4n= 4  divide by -4

n= -1

Help plz:))) I’ll mark u brainliest

Answers

If ?=98 then u and v would be parallel

Please help I’ll give 40 extra points!!!


During a football game, a team lost 12 yards on the first play and then gained 5 yards on each of the next 3
plays. Which method finds the total yards at the end of the first four plays?

O add-12 to 3x5

O add 12 to 3x5

O add-12, 5, and 3

O add 12, 5, and 3

Answers

Answer:

Its the first one

Step-by-step explanation:

losing yards means negative... and then its multiplying 3 and 5

Answer:

It is the first 1

Step-by-step explanation:

Which of the following can be a solution to the inequality below?
2x > 6.
Pls send help

Answers

Answer:

x>3

Step-by-step explanation:

you divide both sides by 2 then you get three. The sign remains the same.

A cookie recipe calls for 1 cup of raisins and 2 cups of flour. When Alex made a batch of cookies, he used 2 cups of raisins and 3 cups of flour. Did Alex use the correct ratio of raisins to flour? Support your opinion.

Answers

Answer:

No

Step-by-step explanation:

1 cup raisins = 2 cup raisins

2 cup flower = 4 cup flour

Alesia has $20.00 to spend at a vegetable stand. The tomatoes cost $3.00 per pound and the cucumbers cost $2.00 per pound. Alesia puts 4 1/2 lb of tomatoes into her basket. she says she can also buy 6 1/2 of cumumbers. why is alessia incorrect?

Answers

4 1/2 lb of tomatoes costs $13.50 and 6 1/2 cucumbers costs $13
$13 + $13.50 = $26.50 which is more than $20

Marcus had $21 to spend on two posters. After buying them he had $13. How much did each poster cost?

Answers

Answer:

$4

Step-by-step explanation:

Each poster cost $4 because $21 - $13 is $8 and you said he bought 2 posters so $8 divided by 2 is $4

Solve for z:
14=z-(-12)
z=___

Answers

Answer:

z=2

Step-by-step explanation:

14=z+12

2=z

Answer: The answer is z=2.

Step-by-step explanation: Step 1. Simplify the both sides of the equation: [tex]14=z+12[/tex].

Step 2. I flipped the equation that looks like this: [tex]z+12=14[/tex].

Last but not least is step 3. Subtract 12 from the both sides: [tex]z+12-12=14-12[/tex]; ∴, your answer should be z=2, I hoped this helps, Happy New Year, and mark me as brainliest. :D

What is the slope of (-3,1) and (1,-2)?

A. -4/3
B. 4/3
C. 3/4
D. -3/4

Answers

Answer:

Step-by-step explanation:

(-3,1) and (1,-2)

Slope is m= - 3/4

Answer:

D. -3/4

Step-by-step explanation:

Plug in you points into this formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Plug in (-3,1) and (1,-2)

[tex]\frac{-2 - 1}{1 - (-3)}\\\\\frac{-3}{4} = -\frac{3}{4}[/tex]

Hope this helps ya! Keep smiling!

estimate the sum or difference 9/10 + 7/8

Answers

Sum: 1 31/40 Difference: 1/40
IM SORRY IF IM WRONG I’m dumb I forgot how to this and im in middle school :,)

write the equation of the graph below into slope-intercept form​

Answers

Answer: y= -1/2x+3
Explanation:
Y= -1/2 + 3
To find the slope just do y/x and to find the y int go up on the graph 3 times

write any three rational numbers between -2 and 0.
please answer fast!!!!!!!​

Answers

3 rational numbers between -2 and 0 are -1.5, -1, and -0.5.

Rational numbers can be either positive or negative, and can even be decimals. Therefore, -1.5, -1 and -0.5 are all rational numbers.

(make sure you change up my words a bit if you're submitting this online, there are bots that scan your words to see if you're getting your answers online!)

a(q-8)=23

solve for q

help appreciated! ​

Answers

Answer:

q= (23+8a)/a

Step-by-step explanation:

a(q-8)=23

or, aq-8a = 23

or, aq = 23+8a

or, q = (23+8a)/a

(I’m not sure if the A is part of the question or if A is what question you’re answering but I’ll work o for both)

A(q - 8) = 23

Multiply everything inside the brackets by A:

aq- 8a = 23

Divide both sides by a to isolate q - 8a:

q - 8a = 23 / a

Add 8a to both sides to isolate q:

q = 23 + 8a² / a

Without the A:

q - 8 = 23

Add 8 to both sides to isolate q:

q = 31

Sorry if I misunderstood but I hope I helped you, have a great day!!

What is the answer QUICKLY PLZ −6+|2x+7|=−10

Answers

Step-by-step explanation:

x=3/2 it's the final result

Answer:

-5.5

Step-by-step explanation:

-10 - -6 = -4

2x+7 = -4

-4 - 7 = -11

2x = -11

x = -5.5

the number y of calories burned after x hours of rock climbing is represented by the linear function y=650x find the domain , is the domain descents or continuous? explain

Answers

Answer:

The domain is discrete

Step-by-step explanation:

Given

[tex]y = 650x[/tex]

Required

What type of domain is it?

Based on the given options, the domain is continuous.

From the question, we understand that x represents the hours spent in climbing the rock.

The climber can decide to climb for 1 hour, 2 hours, ½ hour, ⅓ hour, ¼ hour, etc..

A domain is said to be discrete if it can only take integers (i.e. whole numbers), if otherwise, it is continuous;

So, since x is not limited to only whole numbers, then we can conclude that the domain of x is continuous

i dont understand this

Answers

Answer:

The line isn’t straight because the y value keeps changing so the answer keeps changing

Step-by-step explanation:

what is the graph of this inequality?

Answers

Answer: The second one

can you tell me what 6+3.9 is

Answers

Answer:

9.9

Step-by-step explanation:

6 + 3.9 = 9.9


you add the two whole numbers together and get 9

then you need to add whatever is behind the decimal point which is 9

add them together and you get 9.9

is - 9.813 irrational

Answers

Answer:

no

Step-by-step explanation:

I am a perfect fraction the sum of my numerator and denominator is one less than a perfect square. Their difference is one more than a perfect square.
their product is one less than a perfect square. what fraction am I?

Answers

Answer:

free points sorry lol same person

Step-by-step explanation:

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