The following input-output pairs have been observed during the operation of a linear system: x1(n) = f−1; 2; 1g ! t y1(n) = f1; 2; −1; 0; 1g x2(n) = f1; −1; −1g ! t y2(n) = f−1; 1; 0; 2g x3(n) = f0; 1; 1g ! t y3(n) = f1; 2; 1g a) suppose the input signal is x(n) = (n), what is the resulting output signal? b) determine whether the system is time-invariant. justify your answer.

21

step-by-step explanation:

11279

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

answer: (-6,3)

step-by-step explanation: