Remember
(x^n)^m=x^(mn)
(x^4)^2=x^(4*2)=x^8
Answer:
Step-by-step explanation:
First sequence : 10,9.5,9,8.5,...
Let's see the difference between 2 numbers :
10 - 9.5 = 0.5
9.5 - 9 = 0.5
9 - 8.5 - 0.5
So on and so on. So, the common difference between these numbers are 0.5
Next sequence : 200,100,50,25, ...
We see, to get from one number to another, we divide it by 2 / multiply it by 1/2.
200 x 1/2 = 100
100 x 1/2 = 50
50 x 1/2 = 25
So on and so on. So, the common ratio of these numbers are 1/2.
G. 90 is the answer...........
130 would be the correct answer
<h3>
Answer:</h3>
The real solutions are -5, -4, 4, 5. There are no complex solutions.
<h3>
Step-by-step explanation:</h3>
The equation ...
... x^4 -41x^2 +400 = 0
can be factored as ...
... (x^2 -16)(x^2 -25) = 0
... (x -4)(x +4)(x -5)(x +5) = 0
So, all roots are real and are ...
... x ∈ {-5, -4, 4, 5}
_____
These are the values of x that make the factors zero.