George rolled four different types of paper into four different cylinders. Identical 10-cm rubber bands were placed around the cylinders to hold the
paper in place. Each number in the answer choices is the diameter of one of the cylinders. Which cylinder has the rubber band with the greatest
elastic potential energy?

A. 05 cm

B. 10 cm

C. 20 cm

D. 25 cm

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step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

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step-by-step explanation:

-1/4 > -1 2/3. -1/4 is greater than -1 2/3 because it is closer to 0 on the number line.