Let the Function a @ b be defined as 3a + 2b for all real numbers a and b.
If u and v are real #'s for which u and v = v @ u = 20.
What is the value of 2u @ 3V?
To find the value of 2u @ 3v, we need to substitute the given values of u and v into the function and perform the calculations.
First, we are given that u @ v = 20. So we can substitute u and v into the function:
u @ v = 3u + 2v = 20
Since u and v are interchangeable, we can also write v @ u = 3v + 2u = 20.
Now, we need to find the value of 2u @ 3v. Let's substitute the values and perform the calculations:
2u @ 3v = 3(2u) + 2(3v)
= 6u + 6v
So, the value of 2u @ 3v is 6u + 6v.