Final answer:
To find h(v) in terms of v for the equation -2u + 6v = 9, we isolate u and solve, resulting in the function h(v) = 3v - 4.5.
Step-by-step explanation:
You are looking to solve the equation -2u + 6v = 9 for u in terms of v so that you can express it as a function, h(v). First, we'll isolate the u term by adding 2u to both sides of the equation, resulting in 6v = 9 + 2u. Next, we'll rearrange it to get 2u by itself on one side: 2u = 6v - 9. Lastly, we divide everything by 2 to solve for u: u = (3v - 4.5). So, the function h(v) in terms of v is h(v) = 3v - 4.5.