Donte simplified the expression below. mc024-1.jpg What mistake did Donte make? He did not apply the distributive property corre
ctly for 4(1 + 3i). He did not distribute the subtraction sign correctly for 8 – 5i. He added the real number and coefficient of i in 4(1 + 3i). He added the two complex numbers instead of subtracted.
<span>The expression simplified by Donte is: </span><span><span /> 4(1 + 3i) – (8 – 5i) = –4 + 8i
And the set of options are:
What mistake did Donte make?
A.He did not apply the distributive property correctly for 4(1 + 3i).
B.He did not distribute the subtraction sign correctly for 8 – 5i.
C.He added the real number and coefficient of i in 4(1 + 3i).
D.He added the two complex numbers instead of subtracted.
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Answer: option A: he did not apply the distributive property correctly for 4(1 + 3i)
Explanation:
The correct application leads to: 4*1 + 4*3i = 4 + 12i
If you, incorrectly, make 4*1 + 3i, then you get 4 + 3i, and when you subtract (8 - 5i) you get:
4 + 3i - (8 - 5i) = 4 + 3i - 8 + 5i = - 4 + 8i which is what Donte obtained..
Therefore, he applied the distrituvie property incorrectly for 4(1 + 3i)
Because if you want to find the opposite of a number then you find that same number on the other side on the number line for example, -4.5 you would go on the other side and you would get positive 4.5
S=number of 6 cent stamps t=number of ten cen stamps e=number of 8 cent stamps w=number of 20 cents stamps=2
cost=500 cents 6s+10t+8e+20w=500 w=2 since two 20 cent stamps wer bought 6s+10t+8e+40=500 minsu 40 both sides 6s+10t+8e=460 divide both sides by 2 to simplify 3s+5t+4e+230
also 10 more 6 cent than 10 cent s=10+t
8 cent stamps is 3 times 10 cent stamps e=3t
sub s=10+t e=3t
3(10+t)+5t+4(3t)+230 30+3t+5t+12t=230 30+20t=230 minus 30 20t=200 divid 20 t=10
sub back s=10+t s=10+10 s=20
e=3t e=3(10) e=30
20 six cent 30 eight stamp 10 ten cent 2 twenty cent
