Question

I need help ASAP!!!!!!!

Answer 1

Answer:

  15.5 cm

Step-by-step explanation:

You want the difference between the values of x that make y=0. Solving for those values, we get ...

  0 = -0.1(x -1)^2 +6

  0 = (x -1)^2 -60 . . . . . . . . . multiply by -10

  60 = (x -1)^2 . . . . . . . . . . . add 60

  ±√60 = x -1 . . . . . . . . . . . . take the square root

At this point, it should be obvious that the difference between the two solutions will be 2√60 = 4√15. If it is not, we can find the two solutions and take their difference:

  x1 = 1 +√60

  x2 = 1 -√60

Then the difference is ...

  x1 -x2 = (1 +√60) -(1 -√60) = 2√60

60 has a square factor (4), so we can simplify this radical to ...

  x1 -x2 = 4√15 ≈ 15.4919 ≈ 15.5

The ends of the rainbow are about 15.5 cm apart.