If \( \sum_{p=0}^{k}\left(\frac{1}{3} p+\frac{1}{6}\right)=20 \frac{1}{6} \), determine the value of \( k \)

Question \( 7:( \) June 2023\( ) \) If \( g(x)=-x^{2}-x+5 \), then \( g(-4) \) is equal to

5. \( \frac{(n+1)!}{(n-4)!}=6 n^{2}+6 n \) olduğuna göre, \( n \) kaçtır? \( \begin{array}{llll}\text { A) } 7 & \text { B) } 6 & \text { C) } 5 & \text { D) } 4 \\ \text { 5) } 3\end{array} \)

A straight highway connects Town A and Town B, a distance of 45 kilometres, Andy started biking along the highway from Town A to Town B at 8:00 AM at a constant speed of 3 kilometres per hour. Ben started biking on a parallel highway from Town B to Town A at 9:00 AM at a constant speed of 4 kilometres per hour. How many kilometres had Ben biked when they met along the way?

6) \( \frac{3 a^{-2}-4 b^{-1}+a b}{3 a b-2 a} \quad a=3 ; b=4 \)

4. Math on the Spot Solve each system by substitution. \( \begin{array}{ll}\text { A. }\left\{\begin{array}{l}y=3 x \\ y=x+4\end{array}\right. & \text { B. }\left\{\begin{array}{l}x-y=4 \\ x+2 y=4\end{array}\right.\end{array} \)