Answer: C) (x + 5i)(x - 5i)
<u>Step-by-step explanation:</u>
x² + 25 can be rewritten as x² - (-25)
Now use the difference of squares to factor: a² - b² = (a + b)(a - b)
√x² = x √-25 = 5i
--> x² + 25 = (x + 5i)(x - 5i)
Answer: There is no picture, it says ”failure to load, administrate connection to server host before processing//codeerror919342|#”
Step-by-step explanation:
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)
The graph continues up off the graph ( indicated by the red arrows.)
This means the domain is all real numbers written as (-∞,∞).
The lowest part of the graph is on Y=1 and the lines curve upwards, this makes the range [1,∞)
Multiple 18% by 600 and then multiply the number you get from that by 24 and add that number onto 600 and that’s your answer