The graph represents the heights of two climbers on a climbing wall over a 12-minute time period. A graph titled The Climbing Wall where the horizontal axis shows time (minutes), numbered 1 to 12, and the vertical axis shows height (feet) numbered 2 to 24. The line labeled Brynn's climb begins at 0 feet in 0 minutes, to 15 feet from 5 to 7 minutes, to 0 feet in 10 minutes. The line labeled Abby's climb begins at 4 feet in 0 minutes, to 14 feet from 4 to 6 minutes, to 22 feet in 8 minutes, to 0 feet in 12 minutes. Which statement is true about the climbers’ heights? Brynn was resting at a constant climbing height when Abby’s climbing height was decreasing. Abby’s climbing height was decreasing when Brynn’s climbing height was increasing. The heights of both climbers increased, then decreased, with no rest at a constant height. Both climbers rested on the wall at a constant height for 2 minutes.

What is the point-slope form of the equation for the line with a slope of -2 that passes through (1,4)?

00 points ! missy’s rotation maps point k(17, –12) to k’(12, 17). which describes the rotation? 270° counterclockwise rotation 90° counterclockwise rotation 90° clockwise rotation 180° rotation

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)