Me
in a dance competition, a participant has to score a total of at least 30 points in the first four rounds combined to move on to the fifth and final round. steward scored 5 points in the first round. he then went on to score additional points in the second, third, and fourth rounds. in each of those rounds, his score was identical. which inequality best shows the number of points, p, that steward scored in each of the second, third, and fourth rounds if he earned a place in the finals?
a. 5 + 3p ≥ 30
b. 5 + 3p ≤ 30
c. 5p + 3 ≥ 30
d. 5p + 3 ≤ 30

the answer to the expression is 83

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be

answer: you need the equation in the question so i can answer it

step-by-step explanation:

answer: this is not a question

step-by-step explanation: this is a answer