24) Given the matrix \( \left[\begin{array}{rr}4 & 3 \\ -1 & 1 / 2\end{array}\right) \) i Calculate the determinant of the matrix.

Solve the equation by factoring. \[ x^{2}=7 x-12 \]

4) Dado el dominio de cada función, determina el recorrido. \( \begin{array}{ll}\text { a. } f(x)=20 x \text { y } \operatorname{Dom}(f)=\{0,1,2,3\} & \text { b. } g(x)=-5 x \text { y } \operatorname{Dom}(g)=\{0,3,6,9\} \\ \text { c. } h(x)=x-3 \text { y } \operatorname{Dom}(h)=\{-2,-1,0,1\} & \text { d. } j(x)=3 x+4 \text { y } \operatorname{Dom}(j)=\{0,5,10,15\}\end{array} \)

(a) Find the solution for \( |2 x+1|+3=5 \). Select the correct choice below, and fill in the answer box if necessary. A. The solution set is the finite set of real numbers \( \{ \). (Simplify your answer. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) B. The solution set is the interval (Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)

5) Sea una función lineal cuya gráfica pasa por los puntos \( (6,3) \) y \( (-2,-1) \). a) Determine la función b) ¿Cuál es el valor de \( f(-3) \) y de \( f(8) \) ? c) ¿Es creciente o decreciente?

Determine which ordered pair(s) are solutions to the following system. \[ \begin{array}{lll}y=4 x-2 \\ y=-x+23 & (5,18) & (3,-10)\end{array}(2,21) \]