The revenue and cost functions for a particular product are given below. The cost and revenue are given in millions of dollars, and x represents the number of units (in thousands). R(x) = -74x² + 4200x C(x) = 250x + 5440 At what production level(s), rounded to the nearest whole unit, will the company break even on this product? (Enter your answers as a comma-separated list.) units

A student launches a toy model rocket from the top of a building. The rocket lands on a target on the ground below (shattering to pieces after the parachute fails to open). The equation for the rocket's height in meters is given by A(t) = -4/10(t-30) to the 2nd power + 650 where t is the time in seconds after launch. How high is the building that the rocket was launched from?     I think 650 represents the height of the building. Am I right?   What was the greatest height that the rocket reached, and how long after launch did it reach this height? When I use he quadratic formula, I come up with 5 with the square root of 65 +30 as the x-intercept. I just don't know if that is the right answer and how that translates into seconds. My y-intercept is 290, so I am thinking that was the maximum height for the rocket. Is that correct? When did the rocket land?

Steve is training for the shot put.  He has 100 hours to train before the state finals.  There are two modes of training available: weight training and throwing.  Each hour spent weight training adds 1/2 inch to his distance.  (The point is to get the most distance.) The total effect of throwing practice is given by the function 4t where t is hours spent throwing.  How much time should he spend on each?  Enter the best integer values.  You may want to get a pen and paper and a calculator for this.

x - 1000 = (x. (x² + 10x

Solve for x. 4(x + 4) 26 = x+8

A ride in a taxicab costs $1.25 for the first mile and $1.15 for eachadditional mile. Which of the following could be used to calculate the totalcost y of a ride that was x miles?a. x = 1.25(y − 1) + 1.15b. x = 1.15(y − 1) + 1.25c. y = 1.25(x − 1) + 1.15d. y = 1.15(x − 1) + 1.25

Jose is 10 years older than his brother Lando. However, y years ago Jose is twice as old as Lando. Find the value of x-y, given that Lando is now x years old and x>y.

DIfferentiate and Simplify. Please