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question 8 (2.5 points) translate \the product of 10 and the difference…

Question

question 8 (2.5 points)
translate \the product of 10 and the difference between z and 10\ into a mathematical expression.

\\(10 + (z - 10)\\)
\\(10z - 12\\)
\\(10(z - 10)\\)
\\(10z - 10\\)

Explanation:

Identify the difference term

$$ \text{difference between } z \text{ and } 10 \implies (z - 10) $$

Identify the product term

$$ \text{product of } 10 \text{ and the difference} \implies 10 \times (z - 10) $$

Match with the options

$$ 10(z - 10) $$

Answer:

  • (A) \(10 + (z - 10)\)
  • (B) \(10z - 12\)
  • (C) \(10(z - 10)\) (Correct answer)
  • (D) \(10z - 10\)