Apassenger train leaves a depot 4 h after a freight train leaves the same depot. the passenger train is traveling 32 mph faster than the freight train. find the rate of each train if the passenger train overtakes the freight train in 4h

G(x) = 2 sin(2x - π) + 4. using complete sentences, explain how to find the minimum value for the function.

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

Given the quadratic function f(x)=3x^2-24x+49 a. use “completing the squares” to convert the quadratic function into vertex form b. state the vertex c. find the x and y intercepts d. graph the function