Hallar el valor numérico de: \[ \begin{array}{l}\text { PARA } a=2, b=1, c=4, m=1 / 2, n=2 / 3, x=3 \\ 7 a^{2}-4 m^{3}+5 n^{2}-2 c+3 b^{2}-3 x^{4}\end{array} \]

Section 7.2 Linear and Quadratic Fus 8. The graph of \( y=a x^{2}+b x+c \) passes through \( C(6,-5) \) and cuts the \( x \)-axis at \( A(1,0) \) and \( B(5,0) \) as shown in the figure. Find \( a, b \) and \( c \).

65) If difference between the ages of \( X \) and \( Y \) is 12 years and the ratio of their ages is 3 : 7 , then what is the age of \( Y \) ? \( \begin{array}{ll}\text { (a) } 4 \text { years } & \text { (b) } 9 \text { years } \\ \text { (c) } 11 \text { years } & \text { (d) } 21 \text { years } \\ \text { (e) } 16 \text { Years } & \text { (l) }\end{array} \)

7) Sumar \( 5 a^{2} b+8 b^{4}-15 a b^{3} ;-32 a^{2} b^{2}+18 a b^{3}+4 ;-8+4 a^{3} b-20 a^{2} b^{2}-3 b^{4} \) 8) Sumar \( -\frac{2}{5} m^{3}+\frac{1}{3} n^{3}-\frac{1}{5} m^{2} n+\frac{4}{7} ; \frac{2}{0} m^{2} n+\frac{2}{5} m n^{2}-4 n^{3} ;-\frac{2}{3}-\frac{3}{3}-1 \)

1. Let \( A=\left(\begin{array}{rrr}2 & 0 & -1 \\ 1 & 2 & 0 \\ 0 & 0 & -1\end{array}\right) \) and \( (2 A+B)^{t}=A^{t} A \), then find The value of \( B \) ?

AI POUR RÉSOUDRE L'ÉQUATION \( Z^{2}-\left(2 i-i e^{-i \theta}\right) Z-1+e^{-i \theta}=0 \), ON UTILISER LA FORMULE QUADRATIQUE