There would be a 0.71% decrease, rounded to the nearest tenth of a percent would be a 0.7% decrease. :)
(-8)/(2y-8)=(5/(y+4))-7y+(8/(y^2-16))
(-4)/(y-4)=(5/(y+4))-7y+(8/(y+4)(y-4))
((-4)(y+4))/((y+4)(y-4))=((5(y-4))/(y+4)(y-4))-(7y(y+4)(y-4))/(y+4)(y-4))+(8/(y+4)(y-4))
(-4(y+4))=(5(y-4))-(7y(y+4)(y-4))+8
-4y-16=5y-20-(7y(y^2-16))+8
-4y-16=5y-20-7y^3+112y+8
-4y-16=117y-7y^3-12
-4=(121-7y^2)(y)
None of these choices would be equal to -4
Answer:
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Answer:
![a = 6m/s^2](https://tex.z-dn.net/?f=a%20%3D%206m%2Fs%5E2)
Step-by-step explanation:
Given
When mass = 4kg; Acceleration = 15m/s²
Required
Determine the acceleration when mass = 10kg, provided force is constant;
Represent mass with m and acceleration with a
The question says there's an inverse variation between acceleration and mass; This is represented as thus;
![a\ \alpha\ \frac{1}{m}](https://tex.z-dn.net/?f=a%5C%20%5Calpha%5C%20%5Cfrac%7B1%7D%7Bm%7D)
Convert variation to equality
; Where F is the constant of variation (Force)
Make F the subject of formula;
![F = ma](https://tex.z-dn.net/?f=F%20%3D%20ma)
When mass = 4kg; Acceleration = 15m/s²
![F = 4 * 15](https://tex.z-dn.net/?f=F%20%3D%204%20%2A%2015)
![F = 60N](https://tex.z-dn.net/?f=F%20%3D%2060N)
When mass = 10kg; Substitute 60 for Force
![F = ma](https://tex.z-dn.net/?f=F%20%3D%20ma)
![60 = 10 * a](https://tex.z-dn.net/?f=60%20%3D%2010%20%2A%20a)
![60 = 10a](https://tex.z-dn.net/?f=60%20%3D%2010a)
Divide both sides by 10
![\frac{60}{10} = \frac{10a}{10}](https://tex.z-dn.net/?f=%5Cfrac%7B60%7D%7B10%7D%20%3D%20%5Cfrac%7B10a%7D%7B10%7D)
![a = 6m/s^2](https://tex.z-dn.net/?f=a%20%3D%206m%2Fs%5E2)
<em>Hence, the acceleration is </em>
<em />
People need to start making the points a bigger value