Yes; you are correct.
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The correct answer is:
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Answer choice: [C]: " x³ − 9x² + 23x <span>− 12 " .
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Note: (a </span>− b) (c − d + e) = ac − ad + ae − bc + bd − be ;
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(x − 4) (x² <span>− 5x + 3) =
x * x</span>² = x³ <span>−
x * 5x = 5x</span>² +
x * 3 = 3x <span>−
4 * x</span>² = 4x² <span>−
-4 * 5x = -20x +
-4 * 3 = -12;
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</span> (x − 4) (x² − 5x + 3) =
x³ − 5x² + 3x −4x² − (-20x) + (-12) ;
= x³ − 5x² + 3x −4x² + 20x − 12 ;
= x³ − 5x² − 4x² + 3x + 20x − 12 ;
= x³ − 9x² + 23x − 12 ; which is:
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Answer choice: [C]: " x³ − 9x² + 23x − 12 " .
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The functions are:

and

.
After 2 weeks, under no risk of spiders, the population of the flies is calculated by the function as

.
Similarly, we calculate s(2)=2(2)+5=4+5=9, which means that the spider consumes 9 flies in 2 weeks.
Thus, out of 32 flies, 9 are eaten by the spider, so there are 32-9=23 flies left.
Answer: 23
238 rounded to the nearest ten would be 240 because 8 is bigger than 5. So since its bigger we move the tens place (3) a number ahead (4).
Thats how we get 238 rounded to the nearest ten would be 240.
Hope I helped ya!!