X=1 Hopefully that helped
First we need to find what kind of sequence we have. To do that we are going to test if the sequence as a difference
, in which case it will be an arithmetic sequence, or a ratio
, in which case it will be geometric sequence.
The formula to find
is
where
is the current term in the sequence
is the previous term in the sequence
The formula to find
is
where
is the current term in the sequence
is the previous term in the sequence
- For
and
- For
and
:
Since
is equal in both procedures whereas
is not, we can conclude that our sequence is an arithmetic sequence.
Now we are going to use the explicit formula of an arithmetic sequence
where
is the nth term
is the first term
is the position of the term in the sequence
is the difference
We know that
and
, so lets replace those values in our formula:
We can conclude that the correct answer is <span>
D) an = 3n - 5</span>
Answer:
From top to bottom:
Step-by-step explanation:
We are given the piecewise function:
Row 1:
We want to find g(-2).
Since -2 is less than (or equal to) 2, we will use the first equation. Thus:
Row 2:
Likewise, 0 is less than or equal to 2. We will continue to use the first equation:
Row 3:
2 is not less than 2 but it is equal to 2. So we will continue to use the first equation:
Row 4 and 5:
Both 4 and 6 are greater than 2. Thus, we will use the second equation. Therefore:
Answer:
The domain is (-∞ , ∞)
The domain is continuous
Step-by-step explanation:
Here, we want to identify the domain of the linear function
The domain in this case can be represented by the set of all real numbers.
When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis
Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books
Thus, the domain here will be (-∞ , ∞)
On if the domain is discrete or continuous, we can see that the domain is continuous.
The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous
Answer:
Step-by-step explanation:
The line is a vertical line with an equation of x = 1
y can be anything.
Draw (on graph paper) a dot at x = 1. Go down to - 3 and keep on going down to - 9. Then go up from x = 1. That's what this problem should give you.