Read the following description of a relationship: At every company meeting, the president speaks for 19 minutes and then takes questions from her employees. Let \( q \) represent the number of minutes she spends answering questions and \( t \) represent the total number of minutes the meeting lasts. Use the function \( t=q+19 \) to find the value of \( t \) when \( q=6 \). \( t=\square \)

9. Show that (i) \( \binom{n+2}{2}-\binom{n}{2}=n+\frac{1}{2} \) Solution:

5. In un rettangolo un lato misura 1 unità più dell'altro. Detta \( x \) la misura del lato minore, esprimi, in funzione di \( \left[A(x)=x^{2}+x+\frac{1}{4}\right] \)

7. Show that the set F of the six complex valued functions: \( f_{1}(z)=z, f_{2}(z)=\frac{1}{1-z}, f_{3}(z)=\frac{z-1}{z} \) \( f_{4}(z)=\frac{1}{z}, f_{5}(z)=1-z, f_{6}(z)=\frac{z}{z-1} \) is a group under the usual multiplication of mappings.

\( 6 x^{3}-5 x^{7}+6 \) leading term? Leading cafficient? Turning Caint?

Find the factar of \( x^{5}+x^{4}-13 x^{3}-13 x^{2}+36 x+36 \) ai list three factars.