Final answer:
The difference of 2a(4) and -6(-5) is found by evaluating the function a(T) = 3T + 8 with T=4, multiplying by 2, and then subtracting the product of -6(-5). The final result is 10.
Step-by-step explanation:
To find the difference of 2a(4) and -6(-5), we first need to substitute the values into each function. The function a(T) is given as a(T) = 3T + 8, so for T=4, we get:
a(4) = 3(4) + 8 = 12 + 8 = 20.
Now, multiply a(4) by 2: 2a(4) = 2(20) = 40.
The second expression is -6 multiplied by -5, which results in: -6(-5) = 30.
Finally, the difference of the two expressions is calculated by subtracting -6(-5) from 2a(4):
2a(4) - (-6(-5)) = 40 - 30 = 10.
So, the answer to the difference of 2a(4) and -6(-5) is 10.