This one is long..
Jasmine is a structural engineer. She designs
the lift hill of a roller coaster that models
the equation y = x^3, where y is the height
and x is the length from the start of the
lift hill. Using this model, how far from the
start of the lift hill does the ride reach a
height of 343 meters?

The sum of these consecutive integers is equal to 9 less than 4 times the least of the integer. find the three integers

(05.03 mc) part a: explain why the x-coordinates of the points where the graphs of the equations y = 4x and y = 2x−2 intersect are the solutions of the equation 4x = 2x−2. (4 points) part b: make tables to find the solution to 4x = 2x−2. take the integer values of x between −3 and 3. (4 points) part c: how can you solve the equation 4x = 2x−2 graphically? (2 points)

Aramp rises 4 feet over a distance of 10 feet. what is the length of the ramp?