The shape of a roller coaster is modeled by a polynomial function, r(x). describe how to find the x-intercepts of r(x) and how to construct a rough graph of r(x) so that the engineer can predict when there will be no change in the direction of the coaster. you may create a sample polynomial of degree 3 or higher to use in your explanations.

ou will need three roots for this, so we have

 Let x = -30, -10 and +20

So the factors will be  (x+30)(x+10)(x-20)

The divide it to 100, this will help bring the peak up and down

So the polynomial function R(x) will become

1/100 *  (x+30)(x+10)(x-20)

R(x) = 1/100 * (x+30)(x+10)(x-20)

Finding the X-intercept:

Let R(x) = 0 and solve for x.

1/100 * (x+30)(x+10)(x-20) = 0

x = -30, -10, 20 are the x-intercepts.

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

s

step-by-step explanation: