Question

type the correct answer in each box. use numerals instead of words.

for linear functions \\(v\\) and \\(w\\), \\(v(10) = 12\\), and \\(w(10) = 9\\).

\\((v + w)(10) = \\)
\\((v - w)(10) = \\)
\\((vw)(10) = \\)

Explanation:

⚡ Using what you learned: Operations with Polynomial Functions

Step 1: Find \( (v + w)(10) \)

$$ (v + w)(10) = v(10) + w(10) = 12 + 9 = 21 $$

Step 2: Find \( (v - w)(10) \)

$$ (v - w)(10) = v(10) - w(10) = 12 - 9 = 3 $$

Step 3: Find \( (vw)(10) \)

$$ (vw)(10) = v(10) \cdot w(10) = 12 \cdot 9 = 108 $$

Answer:

• \( (v + w)(10) = 21 \)
• \( (v - w)(10) = 3 \)
• \( (vw)(10) = 108 \)