The fraction 5/6 is in simplest form because it cannot be broken down anymore.
If you can please give me the brainliest award!
Differentiate using the chain rule:
d/du [ln(u)] d/dx[2x^3+3x]
derivative of ln(u) = 1/u
1/u d/dx[2x^3+3x]
1/2x^3+3x d/dx[2x^3+3x]
Differentiate
(6x^2+3) 1/2x^3+3x
Simplify
Dy/dx = 3(2x^2+1) / x(2x^2 +3)
Since we are dealing with a volume problem (3 dimensions) when you increase the radius by a factor of 2, you increase the volume by a factor of 2^3 or 8
So, the larger sphere has a volume 8 times greater than the smaller sphere.
The system has one solution because the slopes are different. TO solve...
5x - 6y = -25
4x - 3y = -20, multiply this equation by -2
5x - 6y = -25
-8x + 6y = 40, now use combination to get
-3x = 15, so x = -5. Now plug this back into either original equation to get
5*(-5) - 6y = -25
-6y = 0, so y = 0, so the solution is (-5,0)