This is rationalising the denominator of an imaginary fraction. We want to remove all i's from the denominator.
To do this, we multiply the fraction by 1. However 1 can be expressed in an infinite number of ways. For example, 1 = 2/2 = 3/3 = 4n^2 / 4n^2 (assuming n is not zero!). Let's express 1 as the complex conjugate of the denominator, divided by the complex conjugate of the denominator.
The complex conjugate of (3 - 2i) is (3 + 2i). Then do what I just said:
4/(3-2i) * (3+2i)/(3+2i) = 4(3+2i)/(3-2i)(3+2i) = (12+8i)/(9-4i^2) = (12+8i)/(9+4) = (12+8i)/13
This is the answer you are looking for. I hope this helps :)
Step-by-step explanation:
If the library surveyed 240 people and only 15% chose documentaries, then only 36 people chose documentaries and the other 204 chose something else other than documentaries. You had to get 15% into decimal form and to do that you move the "." in 15.0% left 2 places so you get 0.15. Then you multiply 240 by 0.15 and you get 36.
If this is what you mean then the degree of the polynomial would be 3 since 3 is the highest exponent of all the terms.
Answer:
6x + 2 is your answer I THINK
Answer: Yes because it will stay proportional the whole time. 1:7, 2:14, 3:21...
Hope this helps!
