Find the intercepts and then graph the line. \( 3 x+y=15 \) The \( y \)-intercept of the line is (Simplify your answer. Type an ordered pair.) The \( x \)-intercept of the line is (Simplify your answer. Type an ordered pair.) Use the graphing tool to graph the equation. Use the intercepts when drawing the line.

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

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

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

Write the function in the form \( f(x)=(x-k) q(x)+r \) for the given value of \( k \). \[ f(x)=x^{3}-4 x^{2}-8 x+14, k=-2 \] \( f(x)=\square \) Demonstrate that \( f(k)=r \). \( f(-2)=\square \)

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