13. Si la función \( f(x)=a x^{2}-\sqrt{2} \) para los enteros positivos de \( a \), entonces hallar \( a \) si \( f(f(\sqrt{2}))=-\sqrt{2} \)

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

MP) Use Structure A plumber charges a customer a one-time service fee of \( \$ 79, \$ 62 \) per hour for labor, and a surcharge of \( \$ 15 \) per hour due to the call being an emergency. Write an expression to represent the total charges for the plumber in two different ways.

The polynomial of degree \( 4, P(x) \), has a root of multiplicity 2 at \( x=3 \) and roots of multiplicity 1 at \( x=0 \) and \( x=-1 \). It goes through the point \( (5,12) \). Find a formula for \( P(x) \). \( P(x)=\square \)

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 \( k \)