F) Jody wants to inflate 50 balloons for his party that starts at \( 1: 00 \). It takes 30 seconds to inflate and tie each balloon. What is the latest time Jody could start inflating balloons and still be finished in time for the party?

Calcula los siguientes límites. a) \( \lim _{x \rightarrow-4} \frac{x^{2}+3 x-4}{x^{2}+8 x+16} \)

Collect like terms. \( 8 x^{3}+7 x^{3}+5 \)

Find the zeros, if any, of the quadratic function using the quadratic formula. What are the \( x \)-intercepts, if any, of the graph of the function? \( g(x)=3 x^{2}+5 x+2 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed.) A. The zeros and the \( x \)-intercepts are the same. They are B. The zeros and the \( x \)-intercepts are different. The zeros are C. There is no real zero solution and no x-intercept.

Actividad 4: Resuelva las ecuaciones lineales y escriba su conjunto solución. Indique si es una identidad, una contradicción o una ecuación condicional. \( \begin{array}{ll}\text { a) }(x+1)^{2}-(x-1)^{2}=6(x-3) & \text { b) } 4-\left(\frac{2}{3} x+2\right)=2\left(-\frac{1}{3} x+1\right) \\ \text { c) } 7(18-y)=6(3-5 y)-(7 y+21) & \text { d) } 6(y-1)=-3(-2-y)+3 y \\ \text { e) } 3-\frac{m}{2}-1-\frac{m}{3}=7-m+\frac{m}{2} & \text { f) }-\{2-[3-(z-2 z)]+4\}=4-5 z \\ \text { g) } 0,6(z+5)-0,5(z+2)=-0,1(z-0,2) & \end{array} \)

b) \( \frac{2}{\sqrt{9}} \)