Answer :

To solve the problem of finding [tex]\( f(8, -4) \)[/tex] for the function [tex]\( f(x, y) = 7x^2 - 9xy \)[/tex], follow these steps:

1. Identify the given function:
The function is [tex]\( f(x, y) = 7x^2 - 9xy \)[/tex].

2. Substitute the given values:
You need to find the value of the function at the point [tex]\((8, -4)\)[/tex]. Substitute [tex]\( x = 8 \)[/tex] and [tex]\( y = -4 \)[/tex] into the function.

3. Calculate each term:
- Compute [tex]\( 7x^2 \)[/tex]:

[tex]\[
7(8^2) = 7 \times 64 = 448
\][/tex]

- Compute [tex]\( -9xy \)[/tex]:

[tex]\[
-9 \times 8 \times (-4) = -9 \times -32 = 288
\][/tex]

4. Add the results together:
Now add the results from steps 3 together:

[tex]\[
448 + 288 = 736
\][/tex]

Therefore, the value of [tex]\( f(8, -4) \)[/tex] is [tex]\( 736 \)[/tex].

Thus, none of the given multiple-choice options (A. -76, B. 148, C. 76, D. 160) match the computed result, which is [tex]\( 736 \)[/tex].

Thanks for taking the time to read Given that tex f x y 7x 2 9xy tex find tex f 8 4 tex A 76 B 148 C 76 D 160. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada