Darnell completed 35 push-ups in one minute, which is 8 more than his previous personal best. mia completed 6 more push-ups than katie. if mia completed the same amount of push-ups as darnell completed during his previous personal best, how many push-ups did katie complete? let d represent the number of push-ups darnell completed during his previous personal best and k represent the number of push-ups katie completed.

use tape diagrams to solve the problem.

Afunction is given: f(x)=3x+12 a. determine the inverse of this function and name it g(x) b. use composite functions to show that these functions are inverses. c. f(g(– explain: what is the domain?

Find and simplify an expression for the area of five rows of x squares with side lengths of x centimeters.

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.