Answer:
10th term of the sequence = 0.537
Step-by-step explanation:
First three terms of the sequence are → 5, 4,
..........
Ratio of 2nd and 1st term of the sequence = 
Ratio of 3rd and 2nd term of the sequence = 
= 
Therefore, ratio between every successive term to the previous term is common.
Common ratio 'r' = 
First term of the sequence 'a' = 5
nth term of a geometric sequence = 
Therefore, nth term of the given term will be 
Now we have to find the 10 term of the given sequence.
For n = 10,

= 0.53687
≈ 0.537
Therefore, 10th term of the sequence is 0.537
Answer:
B
Step-by-step explanation:
Answer:
x=1
y=8.6
Explanation:
first start by assigning a random value to a random variable, let’s say x=1
from there the equation becomes solveable
9x1+-5y=-34
simplify
9-5y=-34
-9 from both sides
-5y=-43
divide both sides by-5
y=8.6
hope this helps :)
(f g)(x) means f(x) * g(x), so plug the value of each function in:
(x+2)(x-4)
And solve by distributing using FOIL:
Firsts: x * x = x²
Outers: x * -4 = -4x
Inners: 2 * x = 2x
Lasts: 2 * -4 = -8
Combine them all together:
x² - 4x + 2x - 8
Combine like terms (the -4x and 2x):
x² - 2x - 8
So the second to last one is correct.