(5 points) linear system with a parameter a number of important engineering problems, particularly in electrical engineering and control theory, can be analyzed by laplace transforms. this approach converts a sys- tem of linear differential equations into a system of linear algebraic equations whose coefficients involve a parameter, usually s. consider the following system in which s is an unspecified parameter. determine the values of s for which the system has a unique solution, and use cramer's rule to find that solution.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

care to share were the trapezoid shown is ?

answer: the four apples you took away.

step-by-step explanation:

answer: a) 56% women

b)44% men

step-by-step explanation: