Final answer:
To find the ordered pairs for the equation 3x - y = 4 with the domain D={-2,0,1,4}, you have to solve the equation for each x value in the domain and list the results as ordered pairs. The correct ordered pairs are (-2, -10), (0, -4), (1, -1), and (4, 8).
Step-by-step explanation:
To choose the correct ordered pairs from the given equation 3x - y = 4 with the domain D={-2,0,1,4}, we need to solve for y using each value of x in the domain. Here are the steps:
- Plug each x value from the domain into the equation.
- Solve for y for each x value.
- List each combination of x and y as an ordered pair.
Here are the calculations:
- For x = -2: 3(-2) - y = 4, which simplifies to -6 - y = 4, so y = -10. The ordered pair is (-2, -10).
- For x = 0: 3(0) - y = 4, simplifies to 0 - y = 4, so y = -4. The ordered pair is (0, -4).
- For x = 1: 3(1) - y = 4, which simplifies to 3 - y = 4, so y = -1. The ordered pair is (1, -1).
- For x = 4: 3(4) - y = 4, which simplifies to 12 - y = 4, so y = 8. The ordered pair is (4, 8).
The correct ordered pairs for the given domain are {(-2, -10), (0, -4), (1, -1), (4, 8)}.