The revenue of a company can be modeled by \( p=0.0416 t^{2}-0.7731 t+10.69 \), where \( t \) is the number of years since 1980 and \( p \) is in millions of dollars. When will the revenue be 13 million? (Note: Make sure to round your answer down. If \( t=4.93 \), it is still only 1984.)

Resuelve la desigualdad de valor absoluto: \(|x| < 3\)

Simplify the following expressions fully: \( 1.2 .1 \quad(x+2)\left(x^{2}-x+3\right) \)

FACTORIZAR APLICANDO CASOS COMBINADOS DE FACTDRES A) \( \cdot x^{3}+5 x^{2}-4 x-20 \) B) \( \cdot 75 x^{5}+60 x^{4}+12 x^{3} \) C) \( \cdot 2 x^{2}-18 \) d) \( x^{3}+x^{2}-9 x-9 \) e) \( x^{4}-81 \)

Given that \( g(x)=\sqrt{\frac{2 x+3}{5 x+6}} \), find \( g^{-1}(x) \) \( g^{-1}(x)=x^{2}-3 x \)

1.Решить уравнение: \( \begin{array}{lll}\text { a) } \sqrt{x+3}=\sqrt{5-x} & \text { б) } \quad \sqrt{12+3 x}=2 & \text { в) } \quad x=1+\sqrt{x+11}\end{array} \)