Answer:
= - 12 + 316 i
Step-by-step explanation:
Given that -
z = 3 + i
<em>
= 
</em>
<em> = 9 + 
+ 6 i</em>
<em> = 9 - 1 + 6 i</em>
= 8 + 6 i
<em>
= × z</em>
<em> = ( 8 + 6 i ) × ( 3 + i )</em>
<em> = 24 + 8 i + 18 i + 6 i²</em>
<em> = 24 + 26 i - 6</em>
= 18 + 26 i
= ×
<em> = ( 8 + 6 i ) × ( 18 + 26 i )</em>
<em> = 144 + 208 i + 108 i + 156 i²</em>
<em> = 144 + 316 i -156</em>
= - 12 + 316 i
Answer:
x = 10
Step-by-step explanation:
2x/3 + 1 = 7x/15 + 3
<em><u>(times everything in the equation by 3 to get rid of the first fraction)</u></em>
2x + 3 = 21x/15 + 9
<em><u>(times everything in the equation by 15 to get rid of the second fraction)</u></em>
30x+ 45 = 21x + 135
<em><u>(subtract 21x from 30x; subtract 45 from 135)</u></em>
9x = 90
<em><u>(divide 90 by 9)</u></em>
x = 10
<h2>
Another solution:</h2>
2x/3 + 1 = 7x/15 + 3
<u><em>(find the LCM of 3 and 15 = 15)</em></u>
<u><em>(multiply everything in the equation by 15, then simplify)</em></u>
10x + 15 = 7x + 45
<u><em>(subtract 7x from 10x; subtract 15 from 45)</em></u>
3x = 30
<em><u>(divide 30 by 3)</u></em>
x = 10
Answer:
119 4/7
Step-by-step explanation:
Add up all the sides
Given:
The function is
To find:
The zeros of the given function.
Solution:
The general form of polynomial is
...(i)
where, a is a constant, 
are zeros of respective multiplicities 
.
We have,
On comparing this with (i), we get
It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.
Answer:
8/9 (simplified)
Step-by-step explanation:
Total marbles = 18
Total of marbles <em>not</em> white = 16
Numerator = 16 / Denominator = 18
= 16/18
= 8/9 (simplified)
