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tekilochka [14]
3 years ago
15

How to I find the slope of this equation

Mathematics
2 answers:
Julli [10]3 years ago
7 0
8y-2x=24
Solve for y
8y=2x+24
y=(1/4)x+3
So no it is in the form y=mx + c
m is the slope
So the slope is 1/4
Lady_Fox [76]3 years ago
5 0
Dear Madison,

I will be glad to offer you my services. In order to find the slope of an equation you must use the slope intercept formula. Here is the formula:

y=mx+b


Your equation is actually almost in slope form, however there is an 8 attached to the "y." When you have a number and a letter side by side it means that they are being multiplied. So for example:
"10C" actually means "10 multiplied by C"
If you are familiar with how equations work, then you can proceed from here. If not I will explain here. Equations are like see-saws, you want them to be balanced. So whatever you do to one side has to be done to the other. In order to balance them you have to do the opposite function of what you are trying to change. So if you are trying to get rid of a positive 8 you would subtract.
The Work to Solve Your Equation:
1. Here is the equation: 8y-2x=24
2. Divide 8y by 8 to leave y-2x on the left side of your equation.
3. Now remember whatever you do to one side has to be done to the other. So you must divide 24 by 8.
4. Now this is what you have: y-2x=3
5. The formula is "y=mx+b" so we now have to rearrange our numbers into that format. So we want to have the y by itself. In that case we would add a positive 2x in order to remove the "-2x".
6. y=2x+3
7. I sincerely hope that this explanation was useful.
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3 years ago
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zhuklara [117]
4/x³ - (2x-1)/3x

= (4*3) - (2x-1)(x²) / 3x³

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The answer is C.
Hope it helps!
3 0
2 years ago
A principal wants to know if their students are in favour of the new dress code. Would she take a sample from:
NeTakaya
I think the answer is a
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3 years ago
Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9
NeTakaya
<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}

Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:

(\frac{f}{g})(x)=\frac{x(x+2)-3(x+2)}{1}\times \frac{x+2}{x-3}

Now you can rewrite it as:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)}{1}\times \frac{x+2}{x-3}

Next, multiply:

(\frac{f}{g})(x)=\frac{(x-3)(x+2)^2}{x-3}

Next, divide:

(\frac{f}{g})(x)=(x+2)^2

And lastly, simplify:

  • A good tip: (x+y)^2=x^2+2xy+y^2

(\frac{f}{g})(x)=x^2+4x+4

<h2>Answer:</h2>

<u>The correct option is C. x² + 4x + 4.</u>

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Answer:

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Step-by-step explanation:

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