Question

On a coordinate plane, a curved line begins at point (negative 2, negative 3), crosses the y-axis at (0, negative .25), and the x-axis at (1, 0).

What is the domain of the function on the graph? What is the value of m in the equation one-half m minus three-fourths n equals 16, when n equals 8?

Answer 1

The domain of a function represented on the graph is all real numbers, and for the algebraic equation, when n equals 8, the value of m is 20.

Step-by-step explanation:

The domain of a function on a graph is the set of all possible x-values for which the function is defined. Given that the curved line begins at a specific point and crosses both axes at specified points, the domain is likely all real numbers, assuming that the curve continues indefinitely left and right without any breaks or undefined regions.

For the equation one-half m minus three-fourths n equals 16, when n equals 8, we can solve for m by first multiplying n, which is 8, by -3/4 and then adding the result to both sides of the equation to isolate m. This can be calculated step by step:

1. First calculate three-fourths of n which is 3/4 * 8 = 6.
2. Subtract this from 16 getting 16 - 6 = 10.
3. Finally, since one-half m is equal to 10, multiply both sides by 2 to find m which results in m = 20.