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3 years ago

Write the coordinate of the intercept

Mathematics

1 answer:

Basile [38]3 years ago

8 0

Answer:

m = 2/3

y-intercept: 2

Explanation:

First convert this equation into standard form by distributing the 6y and -4x from the coefficient of 2, and then putting the variables in order.

This equation should be in the form: Ax + By = C (Standard form)

y = -Ax/B + C/B : y = mx + b (Slope intercept form)

2(6y - 4x) = 24 → 12y - 8x = 24

→ -8x + 12y = 24 → -8x = -12y + 24 → 8x = 12y - 24 → <em>8x - 12y = -24</em>

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A B C

Once you have standard form, you are ready to convert this into slope intercept by isolating the y completely.

8x - 12y = -24

-8x -8x

(First through the subtraction property of equality, remove 8x from both sides so that -12y is by itself on the left)

-12y = -8x - 24

×-1 ×-1 ×-1

(Through the identity property of negative 1, remove the negative sign from all of the numbers because a negative times a negative is a positive)

12y = 8x + 24

(Lastly, through the division property of equality, divide all sides by 12 because it is the coefficient of y, which will solve for the variable)

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Paladinen [302]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the disp

fenix001 [56]

Now, it look like there is some information missing in the answer. The whole problem should look like this:

Alicia Keys's new album As I Am is climbing the charts, and the manager of Tip Top Tunes expects to sell a lot of copies. Because she has limited shelf space, she can't put out all her copies of the CD at once. On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold. On Tuesday morning, she counted the number of copies left and then added that many more to the shelf. In other words, she doubled the number that was left in the display. At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday. On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday. Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty. How many copies of the As I Am CD did she sell each day?

Answer:

She sold 24 copies of the cd each day.

Step-by-step explanation:

In order to solve this problem we must first set our variable up. In this case, since we need to know what the number of sold cd's per day is, that will just be our variable:

x= Number of copies sold.

So we can start setting our equation up. So we take the first part of the problem:

"On Monday morning, she stocked the display with 40 copies. By the end of the day, some of the copies had been sold."

This can be translated as:

40-x

where this expression represents the number of copies left on the shelf by the end of monday.

"On Tuesday morning, she counted the number of copies left and then added that many more to the shelf."

so we represent it like this:

(40-x)+(40-x)

"In other words, she doubled the number that was left in the display."

so the previous expression can be simplified like this:

2(40-x)

"At the end of the day, she discovered that she had sold the exact same number of copies as had been sold on Monday."

so the expression now turns to:

2(40-x)-x this is the number of copies left by the end of tuesday.

"On Wednesday morning, the manager decided to triple the number of copies that had been left in the case after Tuesday."

this translates to:

3[2(40-x)-x]

This is the number of copies on the shelf by the begining of Wednesday.

"Amazingly, she sold the same number of copies on Wednesday as she had on each of the first two days! But this time, at the end of the day the display case was empty."

this piece of information lets us finish writting our equation:

3[2(40-x)-x] -x = 0

since there were no copies left on the shelf, then the equation is equal to zero.

So now we proceed and solve the equation for x:

3[2(40-x)-x] -x = 0

We simplify it from the inside to the outside.

3[80-2x-x]-x=0

3[80-3x]-x = 0

we now distribute the 3 so we get:

240-9x-x=0

we combine like terms so we get:

240-10x=0

we move the 240 to the other side of the equation so we get:

-10x=-240

and divide both sides into -10 so we get:

x=24

so she sold 24 copies each day.

5 0

4 years ago