9. Calcule razonadamente, el valor de \( k \) para que la ecuación \( 2 x^{2}-(4 k+6) x+8 k+6=0 \) tenga una solución real doble. SoluCıón: \( k-4 / 3 \) y \( k--1 / 2 \);

83 Olivia drove 170 miles each way (there and back) to visit her cousin. On the trip, Olivia drove an extra 20 miles to see the Grand Canyon. She also drove an extra 45 miles to see Lake Powell. Write one or more equations you could use to represent the total number of miles Olivia drove on her trip. Show your work.

8 Olivia drove 170 miles each way (there and back) to visit her cousin. On the trip, Olivia drove an extra 20 miles to see the Grand Canyon. She also drove an extra 45 miles to see Lake Powell. Write one or more equations you could use to represent th number of miles Olivia drove on her trip.

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

4. \( \frac{(4 n)!+(4 n+1)!}{(4 n+1)!-(4 n)!} \) ifadesinin eşiti aşağıdakilerden han- gisidir? \( \begin{array}{ll}\text { A) } \frac{2 n+1}{2} & \text { B) } \frac{2 n+1}{n} \\ \text { C) } \frac{2 n+1}{2 n} & \text { D) } \frac{2 n}{2 n+1}\end{array} \)

Reducir los siguientes polinomios \[ \frac{2}{3} a+\frac{4}{3} a+\frac{5}{4} a+\frac{2}{3} b+\frac{5}{2} b \]