20 points! the colossus ferris wheel debuted at the 1984 new orleans world’s fair. the ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. the height above ground, h, of a passenger on the ride is a periodic function of time, t. the graph displays the height above ground of the last passenger to board over the course of the 15 min ride.

Period =  

The Ferris wheel will complete one round in 40 seconds.

Step-by-step explanation:

We have the function representing the height of the passenger by,

, where t = time in minutes.

It is known that when a function f(x) has period P, then the function a×f(bx+c)+d will have the period .

Since, the function has period , so the function h will have period i.e. .

Thus, the period of the given function is .

Now, as the period is minutes i.e 40 seconds.

Hence, we get that the Ferris wheel will complete one round in 40 seconds.

answer: domain and range mean all possible values of x and y that could be substituted to the inequality. a solution means all possible values that make the inequality statement true. so while the range is still all real numbers, the solution is the shaded area, for which y will always be greater than the line of the function.

the discriminant is 64 + 4*1*12 = 112

this is prime.

step-by-step explanation: