Step-by-step explanation:
Hey there!
Given;
Slope (m) = -3/5
And passes through the point(4,-4).
Now; The equation of a line in slope intercept form is y= mx+b.
So, try to bring it in y= mx+b form.
Firstly let's use one-point formula.
![(y - y1) = m(x - x1)](https://tex.z-dn.net/?f=%28y%20-%20y1%29%20%3D%20m%28x%20-%20x1%29)
Now, keep all values.
![(y + 4) = \frac{ - 3}{5} (x - 4)](https://tex.z-dn.net/?f=%28y%20%2B%204%29%20%3D%20%20%5Cfrac%7B%20-%203%7D%7B5%7D%20%28x%20-%204%29)
Now, simplify to get answer.
![5(y + 4) = - 3(x - 4)](https://tex.z-dn.net/?f=5%28y%20%2B%204%29%20%3D%20%20-%203%28x%20-%204%29)
![5y + 20 = - 3x + 12](https://tex.z-dn.net/?f=5y%20%2B%2020%20%3D%20%20-%203x%20%2B%2012)
![5y = - 3x + 12 - 20](https://tex.z-dn.net/?f=5y%20%3D%20%20-%203x%20%2B%2012%20-%2020)
![5y = - 3x - 8](https://tex.z-dn.net/?f=5y%20%3D%20%20-%203x%20-%208)
![y = \frac{ - 3}{5} x - \frac{8}{5}](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%203%7D%7B5%7D%20x%20-%20%20%5Cfrac%7B8%7D%7B5%7D%20)
Therefore the equation is y = -3/5x - 8/5.
<em><u>Hop</u></em><em><u>e</u></em><em><u> it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
To divide 1/2 by 4, you can treat it as (1/2)/(4/1), and to divide fractions you flip the second fraction and multiply, so:
(1/2)*(1/4)=1/8
So each portion of chocolate was 1/8 pounds.
![\dfrac{2}{3} x^2 = 24](https://tex.z-dn.net/?f=%20%5Cdfrac%7B2%7D%7B3%7D%20x%5E2%20%3D%2024)
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Divide by 2/3 on both sides :
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![x^2 = 24 \div \dfrac{2}{3}](https://tex.z-dn.net/?f=%20x%5E2%20%3D%2024%20%5Cdiv%20%20%5Cdfrac%7B2%7D%7B3%7D%20)
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Change the divide fraction to multiplication fraction :
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![x^2 = 24 \times \dfrac{3}{2}](https://tex.z-dn.net/?f=%20x%5E2%20%3D%2024%20%5Ctimes%20%20%5Cdfrac%7B3%7D%7B2%7D%20)
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Simplify :
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![x^2 = 36](https://tex.z-dn.net/?f=%20x%5E2%20%3D%2036)
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Square root both sides :
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![x = \pm \sqrt{36}](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm%20%5Csqrt%7B36%7D%20)
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Answer :
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![x = \pm6](https://tex.z-dn.net/?f=x%20%3D%20%5Cpm6)
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Answer: The smallest possible value of x is -6---------------------------------------------------------------------
Your answer would be, You can use the Elimination Method, by Multiplying, One or Both Equations by a Constant.
Solve System of Linear Equation:
3x - 6y = -8, -1/4x + 4y = 6 ====> y = 32 /21; x = 8 / 21
Steps:
[ 3x - 6y = -8, -1 / 4x + 4y = 6 ]
Isolate x for 3x - 6y = -8: x = -8 + 6y / 3
3x - 6y = -8
Add 6y both sides:
3x - 6y + 6y = -8 + 6y
Simplify:
3x = - 8 + 6y
Divide Both sides by 3:
3x / x = -8 / 3 + 6y / 3
Simplify:
x = -8 + 6y / 3
Substitute:
x = -8 + 6y / 3
[ 1 / 4 * -8 + 6y / 3 + 4y = 6 ]
Isolate:
-1 / 4 -8 + 6y / 3 + 4y = 6
y = 32 / 21
For x = -8 + 6y / 3
Substitute:
y = 32 / 21
x = -8 + 6 / 3 * 32 / 21
-8 + 6 / 3 * 32 / 21
x = 8 / 21
The Solution to the Systems of Equations are: y = 32 / 21; x = 8 / 21
Hope that helps!!! : )
20 x 3 = 60
60/4 = 15
15 is your answer
hope this helps