Kamala runs around an equilateral triangle of side 75 m . Ramala runs around an isosceles triangle with measures 65 m .65 m and 90 m : Who cover the smaller distance?

a. Find the inverse of the given function. b. Prove that the three properties below hold true using the given function and its inverse. - The inverse of \( f^{-1}(x) \) is \( f(x) \). - The \( f^{-1}(f(x))=x \) for all x in the domain of f . - The \( f\left(f^{-1}(x)\right)=x \) for all x in the domain of \( f^{-1} \). c. Using graphing paper, sketch the graph which is reflected at \( \mathrm{y}=\mathrm{x} \) using the domain \( -5,-3,-1,0,1,3,5 \). 1. \( f(x)=\frac{x+1}{2} \) 2. \( f(x)=x-5 \) 3. \( f(x)=\sqrt{x-6} \)

decimal \( 0.29 \left\lvert\, \begin{array}{l}\text { 18. A small business plans to order carpet for } \\ 4 \text { identical offices. The floor of each office } \\ \text { is } 7.2 \text { feet long and } 5.8 \text { feet wide. }\end{array}\right. \) \( \begin{array}{l}\text { A. Round the length and width to the } \\ \text { nearest whole number. Then estimate } \\ \text { the total amount of carpet that is } \\ \text { needed. Write equations to model } \\ \text { your work. }\end{array} \)

Solve. \[ 3 x-(2 x+6)=0 \]

There is a rack of 12 billiard balls. Bails numbered 1 through 8 are solid-colored. Balls numbered 9 through 12 contain stripes. If one bail is selected at random, determine the odds for it being striped.

2. Determinar la ecuación diferencial lineal homogénea de coeficientes constantes que corresponde a las raíces de la ecuación auxiliar. (b) \( r_{1}=-\frac{1}{2}, r_{2}=r_{3}=3 \pm i \)