Consider the following linear system with a and b unknown non-zero constants. L1 - 322 + I3 = 4 2x1 - 8x3 = -2 -6x1 + 6x2 + ax3 = b (a) For what values of a and b does the system have infinitely many solutions?
(b) Given an example of a and b where the system has exactly one solution.
(c) Give an example of a and b for which the system has no solutions.

Through non-collinear points there is exactly one plane.

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

Arefrigeration system at your company uses temperature sensors fixed to read celsius (°c) values, but the system operators in your control room understand only the fahrenheit scale. you have been asked to make a fahrenheit (°f) label for the high temperature alarm, which is set to ring whenever the system temperature rises above –10°c. what fahrenheit value should you write on the label?