The first five terms of a pattern are shown.
1 answer:
Answer:
C
Step-by-step explanation:
There is a common ratio between consecutive term in the sequence, that is
÷
= 3 ÷
= 30 ÷ 3 = 300 ÷ 30 = 10
This indicates the sequence is geometric with n th term
= a
where a is the first term and r the common ratio
Here a = and r = 10 , thus
=
= ×
= 3 × ×
= 3 ×
Thus
= 3
→ C
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Answer:
the period of this graph is 2
Step-by-step explanation:
The period is the length of the section that repeats. So for this graph, we need to calculate the distance between 2 peaks or 2 troughs of the curve.
Let's look at the peaks (maximums).
One is at x = 0 and the next is at x = 2
2 - 0 = 2
Therefore, the period of this graph is 2
To write the equation of line in y = mx + b form, we need
to identify the slope of the line and the y-intercept.
I would start by setting up a coordinate
system and plotting both points.
I have shown this below.
Let's start with our first point, (3, -1) which we call point A.
Now our second point, (6, 1) which we call point B.
To get from point A to point B, we rise 2 units and run 3 units.
So we know that our slope is 2/3.
However, we need the y-intercept.
Remember, this is the point where the line crosses the y-axis.
Since point B is farther from y-axis,
we need to go in the other direction.
So starting at point A, we go down 2 and to the left 3.
Remember, -2/-3 is 2/3 since a negative/negative = positive.
Now plot point C.
Notice that point C is on the y-axis.
It has the coordinates (0,-3).
Now we know our slope and y-intercept.
So our equation reads 2/3x - 3.
The slope is positive since the line is going up.
