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For a given input value m, the function f utputs a value n to satisfy the following equation. 7m² = 6n - 5 write a formula for f(m) in terms of m.

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Final answer:

The formula for f(m) in terms of m, given the equation 7m² = 6n - 5, is n = (7m² + 5) / 6.

Step-by-step explanation:

To find the formula for f(m) in terms of m, start with the given equation 7m² = 6n - 5.

Begin by isolating n on one side:

  1. Add 5 to both sides: 7m² + 5 = 6n
  2. Divide both sides by 6: (7m² + 5) / 6 = n

Therefore, the formula for f(m) is n = (7m² + 5) / 6.

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