Please help me, this is a test. i will give brainliest for answering all of this. i know it’s a lot but i need help. 1. Graphs of two trigonometric functions are shown below.
- what is the period of the solid graph
- what is the period of the dotted graph
- the solid graph is one of the six trigonometric functions. which is is? how do you know?
- the dotted graph is a transformation of the solid graph. it shows a vertical stretch and a horizontal compression. what is the vertical stretch factor of the dotted graph?
- generate the function that produces the dotted graph
- the function that produces the solid graph is a reciprocal function for another trigonometric function. use the y-intercept of the solid graph to identify this reciprocal function.

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

b. 153 students do not participate in sports and seventy-five 12th graders were surveyed