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denis-greek [22]
2 years ago
12

Which of the lines graphed in the diagram represents the equation 6x + 4y = 8

Mathematics
2 answers:
Blizzard [7]2 years ago
6 0
In order to easily discern which graph is a proper representation of 6x + 4y = 8, you first need to convert the equation to y = mx+ b, also known as slope-intercept form. Here's how you can do this:
6x + 4y = 8
4y = -6x + 8
y = -1.5x + 2
The +2 tells you that your line will intercept the vertical y-axis at (0, 2). This narrows it down to graphs a and d. Then, because you have a NEGATIVE number in front of your x (it's -1.5), you can tell that your graph will be going down as it moves from left to right. This leaves you with graph d as your answer!
mrs_skeptik [129]2 years ago
4 0
To find which line is which, let's turn that equation into slope intercept form:

6x + 4y = 8

Subtract 6x from each side:

4y= -6x + 8

Then divide both sides by 4:

y= -6/4x + 2

With slope intercept form, y=mx+b, we know that b is the y-intercept. 

If 2 is our y-int, the we know the it is not the vertical line because it doesn't touch (0,2)

Now, we also now that our line is negative because our x is negative, so that means the line goes from to down and to the right.

So that means it's the line (-3,5)

Hope this helps!
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earnings = $7 per hour

He needs at least $230 . This means he needs an amount greater than or equals to $230.

let

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2 years ago
what are the steps to answer this question? Jeff is baking a cake. The recipe says that he has to mix 32 grams of powder to the
Deffense [45]
Well what I would do first is to divide 128 by 32 which I do believe gets you 4. So now you know that 1 cup of powder can make 4 servings. So you now know that each serving only requires 1/4 cup of the powder.

So now we know Jeff went over so now we have Jeff added 2/3 and he only needs 1/4. I would now make them both equivalent by multiplying the numerator and denominator of 2/3 by 4 and the same for 1/4 but instead by 4 multiply it by 3 which you would get 2/3=8/12 and 1/4=3/12. Now subtract the two to get your answer.

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