The answer is: [A]: He did not apply the distributive property correctly for 4(1 + 3i) .
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Explanation:
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Note the distributive property of multiplication:
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a*(b+c) = ab + ac.
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As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
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Instead, Donte somehow incorrectly calculated:
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4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);
Note: - (8 - 5i) = -8 + 5i (done correctly;
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So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
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4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
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This corresponds to: "Answer choice: [A]: <span>He did not apply the distributive property correctly for 4(1 + 3i)."
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X=8.
Let me explain.
2x-16=0
add 16 to both sides
2x=16
divide both sides by 2
x=8
15. n - 6 = 21......add 6 to both sides
n = 21 + 6
n = 27
16. p + 1 3/4 = 4 5/8...turn mixed numbers to improper fractions
p + 7/4 = 37/8....there is 2 ways to continue from here...I will show u both
(1) p + 7/4 = 37/8....multiply everything by common denominator of 8, this gets rid of the fractions.
8p + 14 = 37 (result of multiplying by 8)
8p = 37 - 14
8p = 23
p = 23/8
(2) p + 7/4 = 37/8...subtract 7/4 from both sides
p = 37/8 - 7/4...common denominator is 8
p = 37/8 - 14/8
p = 23/8
either way u use, u will arrive at the same answer
