When nick shoots a basketball, he either sinks the shot or misses. for each shot nick sinks, he is given 5 points by his father. for each missed shot, nick's dad takes 2 points away. nick attempts a total of 28 shots and ends up with zero points (i. e., he breaks even). how many shots did nick sink

Nick sinks 8 shots and misses 20 shots.

Step-by-step explanation:

Let x be the number of shots Nick sinks. Nick attempts a total of 28 shots, then 28-x is the number of shots Nick misses.

Nick is given 5 points by his father for each shot he sinks, then he is given 5x points for x such shots.

Nick's Dad takes 2 points away for each missed shot, so he takes away 2(28-x) points for 28-x missed shots.

In total, Nick earnes points.

Nick ends up with zero points, so

Hence, Nick sinks 8 shots and misses 20 shots.

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