Write a system of linear inequalities represented by the graph.

Answer:

Inequality 1:  y ≤ 5x + 1           Inequality 2:  y > x -2

Explanation:

the first line is intersecting the y-axis at 1

coordinates = ( 0 , 1 ) , ( -1 , -4 )

slope of the first line = (y2-y1)/(x2-x1)

                                   = (-4-1 )/(-1-0)

                                   = -5/-1

                                   = 5

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                 → y ≤ 5x + 1   .........as equals to and greater than

the second line is intersecting the y axis at -2

coordinates = ( 2 , 0 ) , ( 0 , -2 )

slope of second line =  (y2-y1)/(x2-x1)

                                   = (-2-0)/(0-2)

                                   = 1

so equation: y = mx + b ....where m is the slope and b is y-intercept.

                  → y > x -2 ..........as dotted represents not equals to.

answer: a. 13/44

step-by-step explanation: judging by the information given to us, we are looking for experimental probability. we can see that 13 males have chosen chocolate ice cream. there are 44 ice creams in total (remember that the total is always the denominator). so our answer is 13/44.