A tracker is dropped from a helicopter 1,250 feet above the ground. After \( t \) seconds, the tracker has fallen \( 16 t^{2} \) feet. As the tracker is dropped, a rocket is shot upwards from a platform 6 feet above the ground, traveling vertically at 57 feet per second. At a certain height, the rocket hits the tracker. Create a system of equations to model this situation, where \( h \) represents the tracker's and rocket's height above the ground. Which of the following equations belongs to the system? Equation \#1: \( 57 t-h=0 \) Equation \#2: \( h-57 t=6 \) Equation \#3: \( h-6 t=57 \) (1 point)

Considera la igualdad \( \mathrm{P}=\frac{\mathrm{n}-1}{\mathrm{n}+1} \), con n un número entero. ¿Para cuántos valores distintos de n se cumple que P es un número entero? A) Solo para un valor. B) Solo para dos valores. C) Solo para cuatro valores. D) Solo para cinco valores.

b) \( x^{2}+e s=22 \)

Representador en listado y diagrama de árbol los siguientes experimentos aleatorios. - Lanzar 2 monedas y 2 dados de 5 caras. - Lanzar 1 moneda y 3 dados de 4 caras.

2.1 Solve for \( x \) in the following: 2.1.1 \( x^{2}=16 \) \( 2.1 .2 \quad 4 x^{2}=x+1 \) \( 2.1 .3 \quad \frac{-3}{(x-2)(x+4)} \leq 0 \) 2.2 Solve for \( x \) and \( y \) simultaneously: \( x y={ }^{\circ} x-y \) and \( y=x+4 \) 2.3 . If \( x=\frac{2 \pm \sqrt{5-3 p}}{4} \), for which values of \( p \) will \( x \) be imaginary (non-real)?

\( 7^{0}+6^{0}= \) c) \( x^{8} \times x^{2}= \) c) \( x^{16} \div x^{4}= \) c) \( \left(x^{2}\right)^{5} \)