Evaluate the expression for each value of \( x \). (a) \( x=-10.4 x^{2}-x+4.5 \) (b) \( x=-2 \)

Sure, let's evaluate the expression \( -10.4x^{2} - x + 4.5 \) for each given value of \( x \). ### (a) When \( x = -10.4 \) \[ \begin{align*} -10.4x^{2} - x + 4.5 &= -10.4(-10.4)^{2} - (-10.4) + 4.5 \\ &= -10.4 \times (108.16) + 10.4 + 4.5 \\ &= -1124.864 + 10.4 + 4.5 \\ &= -1124.864 + 14.9 \\ &= -1109.964 \end{align*} \] **Result:** \( -1109.964 \) ### (b) When \( x = -2 \) \[ \begin{align*} -10.4x^{2} - x + 4.5 &= -10.4(-2)^{2} - (-2) + 4.5 \\ &= -10.4 \times 4 + 2 + 4.5 \\ &= -41.6 + 2 + 4.5 \\ &= -41.6 + 6.5 \\ &= -35.1 \end{align*} \] **Result:** \( -35.1 \) --- **Summary:** - **(a)** For \( x = -10.4 \), the expression evaluates to **\( -1109.964 \)** - **(b)** For \( x = -2 \), the expression evaluates to **\( -35.1 \)**