I need to determine the Laplace transform of the function in the graph attached. I did the work over 0 t < 1
1 1 < t < 2
1 1 < t
and got L[g(t)] = (2e^-s)/s - (e^-2s)/s but it says that is incorrect

Evaluate the discriminant of each equation. tell how many solutions each equation has and whether the solutions are real or imaginary. 4x^2 + 20x + 25 = 0

Peter applied to an accounting firm and a consulting firm. he knows that 30% of similarly qualified applicants receive job offers from the accounting firm, while only 20% of similarly qualified applicants receive job offers from the consulting firm. assume that receiving an offer from one firm is independent of receiving an offer from the other. what is the probability that both firms offer peter a job?

I’m not good at math can i have ? ?