Read the following information carefully and answer the questions that follow: f(a, b) = (a2 + 2ab + 3b2) g(a, b) = (a + b2) Q 27. Determine the value of [f(a, b) * g(a, b)] when a = 2 and b = 4. Ops: A. 1224 B. 646 C. 864 D. 432 Q 28. Determine the value of [f(a, b)/g(a, b)] when a = 2 and b = 4. Ops: A. 35/8 B. 8/35 C. 34/9 D. 9/34
Question
Read the following information carefully and answer the questions that follow:
f(a, b) = (a2 + 2ab + 3b2) g(a, b) = (a + b2)
Q 27. Determine the value of [f(a, b) * g(a, b)] when a = 2 and b = 4. Ops: A. 1224 B. 646 C. 864 D. 432
Q 28. Determine the value of [f(a, b)/g(a, b)] when a = 2 and b = 4. Ops: A. 35/8 B. 8/35 C. 34/9 D. 9/34
Solution
Q 27. To determine the value of [f(a, b) * g(a, b)] when a = 2 and b = 4, we first need to substitute these values into the functions f and g.
f(a, b) = (a^2 + 2ab + 3b^2) = (2^2 + 224 + 3*4^2) = (4 + 16 + 48) = 68
g(a, b) = (a + b^2) = (2 + 4^2) = (2 + 16) = 18
Now, we multiply the results of f(a, b) and g(a, b) to get the answer.
[f(a, b) * g(a, b)] = 68 * 18 = 1224
So, the answer is A. 1224
Q 28. To determine the value of [f(a, b)/g(a, b)] when a = 2 and b = 4, we divide the result of f(a, b) by the result of g(a, b) that we calculated above.
[f(a, b)/g(a, b)] = 68 / 18 = 68/18 = 3.77777777778
This is not exactly any of the options given, but it is closest to A. 35/8 = 4.375. So, the answer is A. 35/8.
Similar Questions
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