Graph the line with the equation \( y=-\frac{1}{2} x-1 \)

Use synthetic division to divide. (Simplify your answer completely.) \[ \left(2 x^{3}+13 x^{2}+15 x-3\right) \div(x+5) \] \( \square, \quad x \neq-5 \)

Let \( \vec{a}=\langle-2,4\rangle \) and \( \vec{b}=\langle 7,8\rangle \). Compute the dot product. \( \vec{a} \cdot \vec{b}=\square \) \( > \) Next Question

7. Given \( f(x)=2-\frac{3}{x} \), find \( f^{-1}(x) \) and state its domain and range.

Use synthetic division to show that \( x \) is a solution of the third-degree polynomial equation, and use the result to factor the polynomial completely. List all real solutions of the equation. (Enter your answers as a comma-separated list.) \[ x^{3}+2 x^{2}-3 x-6=0, \quad x=\sqrt{3} \] \( x=\square \)

If \( 3 \times 3 \times 3 \times 3=4 \times 4 \times 4 \times y \)