Jimmy is playing a game at a state fair, where he is throwing a dart at a target. for each throw, jimmy can choose to throw the dart at a rectangular target or at a circular target. to score a point during the game, jimmy must hit the bulls-eye of the target that he chooses. so far, jimmy has thrown the dart at the rectangular target 9 times, and he has thrown the dart at the circular target 11 times. when jimmy has thrown the dart at the rectangular target, he has missed the bulls-eye 6 times. when jimmy has thrown the dart at the circular target, he has missed the bulls-eye 9 times. based on the information above, if jimmy's goal is to score a point on his next throw, which target should he choose?

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

or

step-by-step explanation:

we need to solve for 'x' the following equation:  

we have that:

⇒

⇒ ⇒

factorizing, we get that:

  ⇒

then, the solutions are: or

nothing extraneous has been found!

r = 78539458390583095803458309458039485093485 or just 3

step-by-step explanation: