Answer:
Find f(g(x)):
f (-2x) = 2
Find g(f(x)):
g (2) = -4
Step-by-step explanation:
Set up the composite function and evaluate.
I hope this helps you
A=1,2=B
AcB
This is what I would do. First, I'll square each of the answer choices provided:
![{9}^{2} = 81 \\ {8}^{2} = 64 \\ {7}^{2} = 49 \\ {6}^{2} = 36](https://tex.z-dn.net/?f=%20%7B9%7D%5E%7B2%7D%20%3D%2081%20%5C%5C%20%7B8%7D%5E%7B2%7D%20%3D%2064%20%5C%5C%20%7B7%7D%5E%7B2%7D%20%3D%2049%20%5C%5C%20%7B6%7D%5E%7B2%7D%20%3D%2036)
The value 52 lies between 64 and 49, which means that the square root of 52 lies between 8 and 7. The number 49 is closer to 52 compared to 64 thus the square root of 52 would be closer to 7 than 8. The answer is C. 7.
Hope this helps!
Answer:
D. The samples are independent because there is not a natural pairing between the two samples
explanation:
Independent samples do not affect each other as each group is selected randomly. They are common in statistical analysis, example: when there is a control group and an experimental group and the subjects for each group are different. In the above example, the samples do not depend on each other. There are 90 randomly selected married men in one group and 90 randomly selected married women in the other. The subjects are different in the two groups and so they do not affect each other. This is unlike dependent/paired samples where for example same subjects are used before and after a medication and therefore each group affects the other.
Answer:
Step-by-step explanation:
Given the following complex numbers, we are to expressed them in the form of a+bi where a is the real part and b is the imaginary part of the complex number.
1) (2-6i)+(4+2i)
open the parenthesis
= 2-6i+4+2i
collect like terms
= 2+4-6i+2i
= 6-4i
2) (6+5i)(9-2i)
= 6(9)-6(2i)+9(5i)-5i(2i)
= 54-12i+45i-10i²
= 54+33i-10i²
In complex number i² = -1
= 54+33i-10(-1)
= 54+33i+10
= 54+10+33i
= 64+33i
3) For the complex number 2/(3-9i), we will rationalize by multiplying by the conjugate of the denominator i.e 3+9i
= 2/3-9i*3+9i/3+9i
=2(3+9i)/(3-9i)(3+9i)
= 6+18i/9-27i+27i-81i²
= 6+18i/9-81(-1)
= 6+18i/9+81
= 6+18i/90
= 6/90 + 18i/90
= 1/15+1/5 i
4) For (3 − 5i)(7 − 2i)
open the parenthesis
= 3(7)-3(2i)-7(5i)-5i(-2i)
= 21-6i-35i+10i²
= 21-6i-35i+10(-1)
= 21-41i-10
= 11-41i