Read the information given below and answer the questions that follow:f(a, b) = a2 + b2 - abg(a, b) = 3abh(a, b) = -ab Q 47. Determine the value of (f(a, b) + g(a, b)) for a = 11 and b = 8. Ops: A. 361 B. 9 C. 16 D. 289
Question
Read the information given below and answer the questions that follow:f(a, b) = a2 + b2 - abg(a, b) = 3abh(a, b) = -ab Q 47. Determine the value of (f(a, b) + g(a, b)) for a = 11 and b = 8. Ops: A. 361 B. 9 C. 16 D. 289
Solution
To solve this problem, we need to substitute the values of a and b into the equations for f(a, b) and g(a, b), and then add the results together.
First, let's find the value of f(a, b) when a = 11 and b = 8.
f(a, b) = a^2 + b^2 - ab f(11, 8) = (11)^2 + (8)^2 - (11)(8) f(11, 8) = 121 + 64 - 88 f(11, 8) = 97
Next, let's find the value of g(a, b) when a = 11 and b = 8.
g(a, b) = 3ab g(11, 8) = 3 * 11 * 8 g(11, 8) = 264
Finally, let's add these two results together.
(f(a, b) + g(a, b)) = f(11, 8) + g(11, 8) (f(a, b) + g(a, b)) = 97 + 264 (f(a, b) + g(a, b)) = 361
So, the value of (f(a, b) + g(a, b)) for a = 11 and b = 8 is 361. Therefore, the correct answer is A. 361.
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