Answer:
Step-by-step explanation:
We have to simplify the original function using partial fraction, hence:
![From\ Laplace\ inverse:\\\\But\ L^{-1}[\frac{1}{s-a} ]=e^{at}\\\\Hence:\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=L^{-1}[\frac{1}{s-1} ]+L^{-1}[\frac{4}{s+4} ]=e^{t}+4e^{-4t}\\\\L^{-1} [\frac{5s}{s^2+3s-4}]=e^{t}+4e^{-4t}](https://tex.z-dn.net/?f=From%5C%20Laplace%5C%20inverse%3A%5C%5C%5C%5CBut%5C%20L%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7Bs-a%7D%20%5D%3De%5E%7Bat%7D%5C%5C%5C%5CHence%3A%5C%5C%5C%5CL%5E%7B-1%7D%20%5B%5Cfrac%7B5s%7D%7Bs%5E2%2B3s-4%7D%5D%3DL%5E%7B-1%7D%5B%5Cfrac%7B1%7D%7Bs-1%7D%20%5D%2BL%5E%7B-1%7D%5B%5Cfrac%7B4%7D%7Bs%2B4%7D%20%5D%3De%5E%7Bt%7D%2B4e%5E%7B-4t%7D%5C%5C%5C%5CL%5E%7B-1%7D%20%5B%5Cfrac%7B5s%7D%7Bs%5E2%2B3s-4%7D%5D%3De%5E%7Bt%7D%2B4e%5E%7B-4t%7D)
Answer:
x = 111
Step-by-step explanation:
1.) x + (x + 1) + (x + 2) = 336
2.) x + x + 1 + x + 2 = 336
3.) 3x + 3 = 336
4.) 3x = 333
4.) x = 111
Check Work:
1.) 111 + (111 + 1) + (111 +2) = 336
2.) 111 + 111 + 1 + 111 + 2 = 336
3. ) 222 + 1 + 111 + 2 = 336
4.) 222 + 114 = 336
5.) 336 = 336
Answer:
perpendicular
Step-by-step explanation:
2-x =3y
3y = 2-x
y = -1/3x+2/3
slope is -1/3
2y +10 = 6x
2y = 6x -10
y = 3 -5
slope is 3
-1/3 and 3 are negative reciprocals so the lines are perpendicular.
It will be 1 because your multiplying it by 0
