Simplify the following expression using exponents: \( \frac{y^{\frac{5}{6}}}{y^{\frac{1}{3}}} \)

O Functions and Lines Evaluating functions: Linear and quadratic or cubic The functions \( f \) and \( g \) are defined as follows. \[ f(x)=-2 x^{2}-3 \quad g(x)=3 x-1 \] Find \( f(5) \) and \( g(-2) \). Simplify your answers as much as possible. \[ f(5)=\square \] \( g(-2)=\square \)

\( 8 x y \) is a monomial expression. Is the statement true or fause?

Evaluating functions: Linear and quadratic or cubic The functions \( f \) and \( g \) are defined as follows. \( f(x)=3 x^{3}+5 \quad g(x)=-5 x+4 \) Find \( f(-2) \) and \( g(7) \). \[ f(-2)=\square \] \( g(7)=\square \)

The cost price of a pen is Rs \( (3 x+5) \) and is selling price is \( \operatorname{Rs}(4 x+3) \) Write the formulato find protit.

\( 1 \leftarrow \quad \begin{array}{r}\text { Solve the system of equations by the substitution method. } \\ \begin{aligned} x+y & =-2 \\ y & =-2 x\end{aligned}\end{array} \)