Suppose that the functions $$ u $$ and $$ w $$ are defined as follows. $$ \begin{array}{l}u(x)=-5 x+2 \ w(x)=-2 x+3 \ \text { Find the following. } \ (u \cdot w)(-5)=\square \ (w \cdot u)(-5)=\square\end{array} $$

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We are given
$$
u(x) = -5x + 2, \quad w(x) = -2x + 3.
$$

We need to calculate
$$
(u \cdot w)(-5) = u(-5) \cdot w(-5)
$$
and
$$
(w \cdot u)(-5) = w(-5) \cdot u(-5).
$$

**Step 1. Evaluate $$ u(-5) $$:**
$$
u(-5) = -5(-5) + 2 = 25 + 2 = 27.
$$

**Step 2. Evaluate $$ w(-5) $$:**
$$
w(-5) = -2(-5) + 3 = 10 + 3 = 13.
$$

**Step 3. Compute the product for both expressions:**
$$
(u \cdot w)(-5) = 27 \times 13 = 351.
$$
Since multiplication is commutative,
$$
(w \cdot u)(-5) = 27 \times 13 = 351.
$$

Thus, the answers are:
$$
(u \cdot w)(-5) = 351 \quad \text{and} \quad (w \cdot u)(-5) = 351.
$$
$$ (u \cdot w)(-5) = 351 \quad \text{and} \quad (w \cdot u)(-5) = 351. $$

Suppose that the functions and are defined as follows.

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