Step-by-step explanation:
Refer to attachment.
<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em>.</em>
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)
Jo makes 170 minutes call. There are 150 free ones
170 - 150 = 20
20 minutes are "what Jo has to pay"
Jo sends 182 texts. There are 150 free ones
182 - 150 = 32
32 texts are "what Jo has to pay"
Monthly charge = 16p, 13p for each extra minute, 15p for each extra text.
13(20) = 260p
15(32) = 480p
480p + 260p + 16 = 740p + 16
740p + 16 is your answer (if p = pounds, add 16 to it, i'm not sure what p stands for though. If it is cents, divide 100 from 740 and take out the p, then add total to 16 to get answer.)
hope this helps
1
Mauricio's mother gave him $5 to spend at the concession stand to buy fruit for himself and
his friends. Oranges cost $0.75 each, and apples cost $0.50 each. What are the solutions to the
inequality that represents the number of oranges and apples Mauricio can buy if x represents
the number of oranges and y represents the number of apples?
