Allen is putting up a rectangular fence in his back yard. He is also putting two circular flower beds inside of the fence. He has decided that he wants the fence to be 25 feet long. He also wants the radii of the flower beds to be at least 2 feet less than the width of the fence. Allen can spend no more than $400 on the fence and flower bed materials. The cost of the fence will be $2.50 per linear foot of fence and the cost of the material for the flower beds will be $1.60 per square foot. If y represents the width of the fence and x represents the radii of the flower beds, then which of the following systems of inequalities can be used to determine the length and width of the fence and the radii of the flower beds?

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

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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he kicked it up? is this the answer ?

step-by-step explanation: