Pierre is designing a rectangular playroom for his two children. He wants the room to be 20 feet wide but needs the perimeter of the room to be less than or equal to 120 feet. Select all of the possible lengths of the playroom.
a. 22 ft.
b. 42 ft.
c. 40 ft.
d. 80 ft.
f. 44 ft.
g. 38 ft.

Show algebraically that f and g are inverse functions f(x)=x^2/-6; g(x)=square root of 2x+12

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.

Segment ab is shown on the graph. which shows how to find the x-coordinate of the point that will divide ab into a 2: 3 ratio using the formula