Mr. Coffey's class conducts an investigation to find how quickly the height of water in a half-gallon jug changes after a small hole is created near the bottom of the jug.
The class finds the function H(x) = 0.01x2 – 2.77x + 136.51 models the height,
in millimeters, of water x seconds after the hole is created.
What is the average rate of change, in millimeters per second, for the period of 37
to 53 seconds? Round your answer to the nearest hudredth.

What expression is equivalent to 42x-56y

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

Solve the problem by making up an equation. a man could arrive on time for an appointment if he drove the car at 40 mph; however, since he left the house 15 minutes late, he drove the car at 50 mph and arrive 3 minutes early for the appointment. how far from his house was his appointment?