Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.
Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.

Answers

Answer 1
if you convert it to y=mx+b then you would have to subtract 12x from each side to make it 3y= -12x + 9 which if u divide by 3 is y=-4x + 3
Answer 2

Answer:

If they got y = -4x + 3 it is equivalent to the original.

Step-by-step explanation:

Common errors include leaving the y with a coefficient, forgetting to simplify all the terms or getting the slope wrong by using the opposite sign.

(If there are specific results included with the question, you could include them in the comments.)


Related Questions

I will give brainliest!

Translate AND solve the following equation: 5 times the difference of 7 and x is the same as the product of negative 5 and that same number increased by 12. Give the value of x, or write all real numbers, or write no solution.

Answers

Answer:

5(7-x)=-5(-5+12)          x=14

Step-by-step explanation:

You distribute the 5 on the left to everything in the parenthesis on the left. On the right you distribute the -5 to everything in the parenthesis on the right. Then you have to isolate the x, and you should end up with x= 14. When you check your answer by plugging in 14 for x, it works.

The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration rate, a, over time, t.

Which is an equivalent equation solved for t?

t = t equals StartFraction f minus v Over a EndFraction z.
t = t equals StartFraction f minus a Over v EndFraction z.
t = a(f – v)
t = v(f – a)

Answers

Answer:

t = t equals StartFraction f minus v Over a EndFraction z.

Step-by-step explanation:

Answer:

A. T=f-v/a

Step-by-step explanation:

hope it helps

Jordan is knitting a sweater. He keeps track of how many balls of green and yellow yarn he uses in the table below. If he uses 15 balls of yellow yarn, how many balls of green yarn will he need?

Answers

Answer:

6

Step-by-step explanation:

-23+-35 rlly need help thank u

Answers

Answer:

The answer is -58.

Step-by-step explanation:

If both numbers are negative, add the two numbers and add the negative sign in later.

-56 hope I could help

OKAY I AM DONE I GOING EITHER DROP OUT SCHOOL OR JUST HAVE MEANTEL BREAKDOWN OR BOTH IF THESE ARE NOT ANSWERED I SWEAR I NOT LYING
PLZZ HELP THIS DUE TODAY AND I STRESSING OUT PLEASE SOMEONE HELP PLZ DON'T SPAM PLZ THS DUE RIGHT NOW PLZZ!!!

1. What two directions could point B be located related to point A? Write two equations to represent the possible locations of point B or in other words, how did you travel to point B. Make a conclusion about the sums in relation to the integers in the equations on the next slide.

2. Explain How you could use absolute value to show that -4+3 and 3+(-4) have the same value. Which property of addition states that these sums are equivalent?


3. You know that the sum of -5 and another integer is a positive integer. What an you conclude about the sign of the other integer? What can you conclude about the value of the other integer?Explain.

4. Jim is standing beside a pool. He drips a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of water.

Answers

Answer:

13

Step-by-step explanation:

Answer:

Step-by-step explanation:

could u give us a graph or some pictures..?

1/2x + 2/3x + 5 = 1/3 what is x please show your work

Answers

Answer equals negative 4

Answer:

x = -4

Step-by-step explanation:

1/2 + 2/3

3/6 + 4/6

7/6

7/6x +5 = 1/3

       - 5    -5

7/6x = -14/3

*6/7      *6/7

x = -4

Omar has a gift card for $25 at a clothing store. He wants to buy socks that cost $4 per pair. He also has a coupon for $5 off his entire purchase. Omar wants to know how many pairs of socks he can buy. Write and inequality that represents the situation. NEED ASAPPPPP!!!

Answers

7 I believe I hope this helps

Answer: 30 ≤ 4s

He can buy 7 socks.

Plz mark brainliest:)

how do you figure out how to get the commission in a percent problem?

Answers

Answer:

To find the commission on a sale, multiply the rate of commission by the total sales.

Step-by-step explanation:

ILL MARK BRAINIEST
The length of one side of the square is the square root of its area. Use the table to find the approximate length of one side of the square. Explain how you used the table to find this information.

Answers

Answer: The sides can be found by taking the square root of the area.

(Area

)

1/2

=s

, where  

s

= side.

(40

)

1/2

=6.3

.  

So the length of a side is 6.3 cm.

.  

So the length of a side is 6.3 cm.

Step-by-step explanation:

correct if wrong!!!!!!!

The length of the track is 377.6 feet

What is the area of the square?

The area of the square is defined as the product of the length and width.

Given that area of the square is 128 square feet.

The sides can be found by taking the square root of the area.

The area of the square = s², where s = side.

⇒ s =√(Area)

⇒ s = √(128) = 11.3

So the length of one side of the square is 11.3 feet.

Since the circumference of a circle = πD

Here D = 11.3 feet.

So circumference of a circle = π(11.3) = 355 feet

The length of the track = 2(11.3)+ 355 = 377.6

Thus, the length of the track is 377.6 feet

Learn more about the area of the square here:

brainly.com/question/1561162

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find the slope of the line

Answers

Answer:

Alright, sweetheart. Your answer is C. I'm gonna tell you how so you can do it on your own from now on.

Step-by-step explanation:

Slope is the number of times you go up over the number of times you go over. This slope is a positive slope because up and right are both positive directions. Look at where the line crosses over on -3. Go up till you see where the line intersects again and then count the number of spaces you have to go over to get to the next intersection. I hope this helps.

Answer:

C 4

Step-by-step explanation:

What number could replace x to make a true statement?

Two-thirds less-than StartFraction x Over 8 EndFraction less-than StartFraction 7 Over 8 EndFraction
3
4
5
6

Answers

YEA I THINK ITS 4 WHAT HE SAID ABOVE ME
3, I believe.

2/3 is more than 1/2

So, 3/8 is less than 7/8

Which pair of numbers is relatively prime?
A. 7 and 21
B. 4 and 15
C. 6 and 9
D. 9 and 27

Answers

B I’m pretty sure sorry if wrong
A is the correct answer

Help please... dont answer if u dont know bc this is for a grade

Answers

Answer:

I think the answer is 16.

Step-by-step explanation:

If you multiply 3 by 4 you get 12, so if you multiply 4 by 4 you get 16 equaling the fraction of 12/16.

Answer:

yeah its 16

Step-by-step explanation:

3/4=12/16

All of the following expressions have the same value except _____.
-16 ÷ 2
(2)(-4)
(-2)(4)
-16 ÷ -2

Answers

All of them have the same answer of -8 except the last one.

Match the following items:

Answers

Answer:

1.sir de Benville

2. Thomas Dale

3. James Oglethorpe

4. Sir Thomas Hoocker

5. John Rolfe

6. Lord Baltimore

7. Squanto and samosas

8. William Bradford

9. Pilgrims

10.Sir Walter Raleigh

Step-by-step explanation:

1. Founded New Orleans: sir de Benville

2. Governor of Jamestown, gave land to the men: Thomas Dale

3. Began the colony of Georgia: James Oglethorpe

4. led colonists to Connecticut, founded Hartford: Thomas hoocker

5. Successfully planted and cured tobacco: John Rolfe

6. Began the colony of Maryland of the catholics:  Lord Baltimore

7. Native Americans who help the settlers at Plymouth: Squanto and samosas

8. learder of the Plymouth colony: William Bradford

9. Separatist who founded the Plymouth colony: Pilgrims

10. Planned and supported the Roanoke island settlement: Sir Walter Raleigh

So you can just look it up but here it is all together

the only one I had to improves was lord Baltimore I couldn’t find it but he was the only one person who was left so yeah

Answer:1. sir de Benville

2. Thomas Dale

3. James Oglethorpe

4. Sir Thomas Hoocker

5. John Rolfe

6. Lord Baltimore

7. Squanto and samosas

8. William Bradford

9. Pilgrims

10. Sir Water Raleigh

Step-by-step explanation:

Find the product: StartFraction 7 Over 4 EndFraction times StartFraction 8 Over 5 EndFraction

The simplified product is the improper fraction __/_
As a mixed number, the product is 2_/_

Answers

Answer:

14/5 and 2 4/5

Step-by-step explanation:

7/4 * 8/5 = 56/20 = 14/5

Answer:

14/15, 2 4/5

Step-by-step explanation:

got it right on the assignment.

4 (b+1) ≤ 2 (2b+1)+1
Is this no solution?
Please give a real answer

Answers

Answer:

( 2 b + 1 ) + 1 .       (I believe)

Step-by-step explanation:

Use the given functions to set up and simplify  

( 2 b + 1 ) + 1 .

4=

b + 1 ≤ 2 = b = 1

( 2 b + 1 ) + 1 = 2 b + 2

Hope This Helps.

Please Mark Brainliest

The masses of two objects are compared during a physics experiment. It is determined that object A has a mass of 4×10^−3 grams and object B has a mass of 4×10^−4 grams. How many times larger is the mass of object A than the mass of object B?




0.1


0.4


10


40

Answers

Answer: 10

Step-by-step explanation: A: 4×10^−3=0.004

B: 4×10^−4=0.0004

Answer is that A looks like 0.003 and B looks like 0.0004 so the answer is 10

Estimate each number as a single digit times a power of ten.

Drag expressions to complete the table.

Each expression may be used once or not
at all

Answers

3 is the correct answer

The scientific estimated form of the numbers are,

0.0000000043 = 4×10⁻⁹, 43560000000 = 4×10¹⁰, 56234567 = 5×10⁷, 0.000023456 = 2×10⁻⁵.

What is scientific notation?

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in the scientific form in a compact manner.

The number 0.0000000043 has 9 digits after the decimal so the estimated as 4×10⁻⁹.

The number 43560000000 can be written as 4×10¹⁰.

The number 56234567 can be written as 5×10⁷.

The number 0.000023456 can be written as 2×10⁻⁵.

learn more about scientific notations here :

https://brainly.com/question/18073768

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What's 10% off of $124.50

Answers

The answer is 112.05
10% of $124.50 is $12.45

Dot patterns can illustrate the Distributive Property. Write a number sentence suggested by the dot patterns below.​

Answers

Answer:

what are the answers or is it a paragrah you have to write

Step-by-step explanation:

A it has to be A because I’dont kno

Which ratio can form a proportion with 6/9?

Answers

2/3 in simplest form
If you want in decimal then 0.67

Plz Help Me This Is Very Important Ω

Answers

1. U tell me
2. 2

Can u pls help me with this I’ve been waiting for half an hour!!

pls help im doing math and in terriable..

Answers

Answer:

64 points/80 points

80/100

Step-by-step explanation:

ez

64/80
80/100
I just copied the other one but I need pointss sooo

A cake recipe requires 3 1/4 cups of flour for 13 servings and 4 1/2 cups of flour for 18 servings. How much flour is required to make a cake that serves 28?

Answers

Fly me to the moon and i don’t know the rest i just got the from tiktok

Ok now, this is the last question of the day.......
Who is Beyonce's oldest daughter (FULL NAME)

Answers

Answer:

Blue Ivy Carter

Step-by-step explanation:

Answer: Blue Ivy Carter
Why is this a question tho?

First Right BRAINLIEST!!!!!! And 5 star, and thanks

Answers

Answer:

No Solutions

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

pls answer dis
i need help ;(

Answers

Hi. All you have to do is divide 100 by 150 which is 0.6666.... and multiply it by the new variable which is “100 lakhs”

(100/150) X 100 = %66.66

Finally subtract the new percentage by 100, and get your final result.

100-66.66 = %33.33

*The percentage of illiterate people decreased by %33.33 in the past 10 years.

I hope this answer helps :)

i need help like rlly bad peez help mee

Answers

Answer:

YES

1.3

1.3

1.3

Step-by-step explanation:

What is the volume of the shape below

Answers

Answer:

1M

Step-by-step explanation:

Answer: The answer is 8/9

Step-by-step explanation: Multiply lengh times width times height. 2/3 x 5/6= 5/9. Now change 1  3/5 into 8/5. Now multiply 5/9 and 8/5 together. Your answer is 8/9.

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