Martin and William have invited friends, who do not all know each other, for dinner. All eight people will be seated at a round table, and the host wants to seat them so that each guest will know the people sitting on each side of him or her. In the graph below, two people who know each other are connected by an edge. What is the seating arrangement?

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

the answer is d

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