Answer:
The explicit formula for a given geometric sequence is of the form
Step-by-step explanation:
Given sequence is 
Let 
To find the common ratio r:
Therefore r=-3
Therefore r=-3
Therefore common ratio is -3
Therefore given sequence is geometric sequence.
The explicit formula for a geometric sequence is 
, where common ratio is r.
From given sequence we are having r=-3
Therefore the explicit formula for a given geometric sequence is of the form 
The following subsets you can be able to create are:
{1}
{2}
{3}
{1,2}
{1,3}
{2,3}
{1,2,3}
Therefore, there are 7 subsets in all. However, we don't have to list all these possible outcomes because we could waste our time doing this but there is a formula, that is 2^n - 1 where n is a number of elements.
In the given, since there are 3 elements inside the set then we use 2^3 - 1 = 8 - 1 = 7.
See...it's easy.
Answer:
ONE: x = 10
Step-by-step explanation:
3x + 6 = -1 - 3 + 4x
3x + 6 = -4 + 4x |subtract 6 from both sides
3x = -10 + 4x |subtract 4x from both sides
-x = -10 |change the signs
x = 10
Answer: 60% = 60/100 = 60 ÷ 100 = 0.6. 100% = 100/100 = 100 ÷ 100 = 1.
Step-by-step explanation: Decrease number by 60% of its value. Percentage decrease = 60% × 150 New value = 150
Answer:
-1/3
Step-by-step explanation:
Evaluate the power, -3/9
Simplify the fraction by divided each number by 3, -1/3
Final answer, -1/3
