Will give ! how would you use a model to determine the approximate formula for the circumference of a circle with a diameter of 6 cm, and connect the model to the actual formula?

 A visual example of this is one my mother showed me. She drew a circle and laid out a piece of yarn around it so that it imitated the perfect shape of the circle. She laid out another piece that was as long as the circle's radius. She wrapped the longer piece around the shorter one, and I saw that it could wrap around it three times and still have at least 0.14 units left. I'm not sure if this helps, but the circumference of this circle is 18.84 cm ^2. I hope I answered your question.

The answer is 16.64 feetyour welcome

Answer: f(x) = -2x^3 +3x^2 +11x -6see attachedan infinite number. since the magnitude of the leading coefficient is not specified, it may be any negative number. (we have chosen the smallest magnitude integer that makes all coefficients be integers.)step-by-step explanation:

1. when "a" is a root of a polynomial, (x -a) is a factor of it. for the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).

in order to make the leading coefficient be negative, we need to multiply this product by a negative number. any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.

then

f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)

= -(2x² +3x -2)(x -3)

= -(2x³ -3x² -11x +6)

f(x) = -2x³ +3x² +11x -6

2. a graph created by the desmos on-line graphing calculator is shown, and the zeros are highlighted.

3. as indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. you want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.