The function f(x) = 3x + 5,000 represents the amount of money a cell phone screen is being sold for, where x is the number of screens being manufactured. The function g(x) = 20x − 400 represents the cost of production, where x is the number of screens being manufactured.

What is (f − g)(200)? Explain.

$2,000 is the profit made from 200 cell phone screens.
$9,200 is the profit made from 200 cell phone screens.
$2,000 is the cost of manufacturing 200 cell phone screens.
$9,200 is the cost of manufacturing 200 cell phone screens.

What is perpendicular to y=-1/2x+11

Time (minutes) amount of water (gallons) practice 1. jin fills up a 510-gallon pool in the backyard for her children. she fills it with the garden hose at a rate of 17 gallons per minute. after it is filled, she lets it sit for 30 minutes in order to let the water temperature rise. the children then get in and have fun for an hour. the pool loses about 5 gallon of water each minute due to their splashing and playing. at the end of the hour, they tear the pool while getting out, which causes a leak the pool then begins to lose water at a rate of 2 gallons per minute. a. complete the table to show the amount of water in the pool after each minute. b. create a graph to model the problem situation. include when the pool will be empty. c. write a piecewise function that models this problem situation. explain your reasoning for each piece of the function. d. identify the x- and y-intercept. explain what they mean in terms of the problem situation, atamantha a cul 80 100 120 150 200 ning, inc

Which of the following is true about the following construction of a tangent to a circle from a point outside of the circle?