Question

For a given input value m, the function f outputs a value n to satisfy the following equation: 7m^2=6n−5. Write a formula for f(m) in terms of m.

Answer 1

To isolate n in the equation 7m^2 = 6n - 5, add 5 to both sides and then divide by 6. Thus, the formula for f(m) is n = (7m^2 + 5) / 6.

Step-by-step explanation:

To find the function f(m) in terms of m, we start with the given equation 7m^2 = 6n - 5. Our goal is to express n in terms of m, which means we need to solve for n.

1. Add 5 to both sides of the equation to get 7m^2 + 5 = 6n.
2. Divide both sides by 6 to isolate n on one side: n = (7m^2 + 5) / 6.

Therefore, the formula for f(m) is n = (7m^2 + 5) / 6.

The given equation is 7m^2 = 6n - 5. To find a formula for f(m) in terms of m, we need to isolate n. We can start by adding 5 to both sides of the equation, resulting in 7m^2 + 5 = 6n. Then, divide both sides of the equation by 6 to solve for n, giving us (7m^2 + 5)/6 = n. Therefore, the formula for f(m) in terms of m is f(m) = (7m^2 + 5)/6.