Solve the equation by factoring. \[ x^{2}=7 x-12 \]

Solve the system of quadratic inequalities: \[ y>x^{2}-1 \]

Solve the system of quadratic inequalities: \[ \begin{array}{l}y<x^{2}-4 \\ y>-x^{2}+2\end{array} \]

Which graph represents the solution to the system of quadratic inequalities? \( y \geq \mathrm{x}^{2}+3 \mathrm{x}-7 \) \( \mathrm{y} \leq-\mathrm{x}^{2}+5 \mathrm{x}+2 \)

The function \( f(x)=2 x^{2}-5 x+2 k-1 \) does not intersect the \( x- \) axis. Find the range of values of \( k \)

The ratio of Ben's age to Ali's age is \( 3=2 \). Their total age is 140 years now What is Alils age?