50points plato

the number of teams who entered in a 3-on-3 charity basketbal ournament can be modeled by function t, where x is the number of years since the tournament first started. t(x)=4x+24
the entry fee paid by each team to enter the tounament can be modeled by tunction f, where x is the number of years since the tounament fist started.
f(x)=5x+45
which function, r, best represents the total entry lees collected in the year since the tournament first started?

a. r(x)=20x^2+300x+1080
b. r(x)=20x^2+1080
c. r(x)=9x+69
d. r(x)=9x^2+29x+69

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

Atheater wants to build movable steps that they can use to go on and off the stage. they want the steps to have enough space inside so they can also be used to store props. how much space is inside the steps?

Which describes the difference between the graph of f(x)=x^2 and g(x)=-(x^2-2)