3. .5*60 because .5 represents the 5% and "of" stands for multiplication
Answer:
The correct answer is: C
Step-by-step explanation:
2(4x - 5) < 14x + 8
First multiply 2 by 4x and -5
8x - 10 < 14x + 8
Now find out what x is
Move 14x to the left
8x - 14x - 10 = 8
Then move 10 to the right and change it's sign to plus
8x - 14x = 8 + 10
Now combine like terms
-6x = 18
Now divide 18 by 6 to get x
x = 18/-6
x = -3
Answer:
119
Step-by-step explanation:
Divided by x and y for total engagement of relationship between two beings of equation.
3x + 2 = 5x - 8
Flip
5x - 8 = 3x + 2
Subtract both sides by 3x
2x - 8 = 2
Add both sides by 8
2x = 10
Divide both sides by 2
x = 5
That's your answer.
Have an awesome day! :)
From your friendly Helper-in-Training, collinjun0827
Substitute

, so that

![\dfrac{\mathrm d^2y}{\mathrm dx^2}=\dfrac{\mathrm d}{\mathrm dx}\left[\dfrac1x\dfrac{\mathrm dy}{\mathrm dz}\right]=-\dfrac1{x^2}\dfrac{\mathrm dy}{\mathrm dz}+\dfrac1x\left(\dfrac1x\dfrac{\mathrm d^2y}{\mathrm dz^2}\right)=\dfrac1{x^2}\left(\dfrac{\mathrm d^2y}{\mathrm dz^2}-\dfrac{\mathrm dy}{\mathrm dz}\right)](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%5E2y%7D%7B%5Cmathrm%20dx%5E2%7D%3D%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5B%5Cdfrac1x%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dz%7D%5Cright%5D%3D-%5Cdfrac1%7Bx%5E2%7D%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dz%7D%2B%5Cdfrac1x%5Cleft%28%5Cdfrac1x%5Cdfrac%7B%5Cmathrm%20d%5E2y%7D%7B%5Cmathrm%20dz%5E2%7D%5Cright%29%3D%5Cdfrac1%7Bx%5E2%7D%5Cleft%28%5Cdfrac%7B%5Cmathrm%20d%5E2y%7D%7B%5Cmathrm%20dz%5E2%7D-%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dz%7D%5Cright%29)
Then the ODE becomes


which has the characteristic equation

with roots at

. This means the characteristic solution for

is

and in terms of

, this is

From the given initial conditions, we find


so the particular solution to the IVP is