The function below models the voltage, in volts, of a certain alternating current after x seconds, where a and b are positive constants.
f(x) = acos(bx)
assume the expression inside the cosine function is measured in radians.
what is the largest value of c such that when the voltage's domain is restricted to the interval [0,c], the function is invertible

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

Find the area of the triangle formed by the origin and the points of intersection of parabolas y=−3x^2+20 and y=x^2−16.

Atriangle in the coordinates of (2,3), (-4,5) and (-2,4) it is translated 3 units down. what are it’s new coordinates