Answer:
-13
Step-by-step explanation:
6-7 x 6+7
-1 x 13
-13
Since the graph is a linear function, we're going to use the slope formula solve this:
Note I am replacing m with k
Inserting 2 points from the graph, let's use (1,8) and (2,16).
k=8
8
Suppose f(x) = ----------
sqrt(x)
8
What if we let x = 16 (just an example)? We'd get f(16) = ------------- = 2.
sqrt(16)
What if we let x = g(x) = 2x+4?
We'd get the following:
8
f(g(x)) = -------------- = y
sqrt(2x+4)
So...the correct answer is the fourth one.
Answer:
y = 6x - 11
Step-by-step explanation:
An arithmetic sequence is a linear function. This means it steadily increases or decreases through addition/subtraction by a constant amount. Here the sequence grows by adding 6 each time.
-11 + 6 = -5
-5 + 6 = 1
1 + 6 = 7
etc....
Since this is linear, its equation has the form y = mx + b where m is the slope and b is the y-intercept. The slope is m = 6 and b = -11.
y = 6x - 11
