We can model this situation with a linear equation. We know for our problem that the initial point is (0, 25), and the next point is (10, 108.4). To relate those points and find the slope of our linear equation, we are going to use the formula:
. Notice that we know from our points that:
,
,
, and
. So, lets replace those values in our formula to find
:
Now that we have the slope of our linear equation, we can use the point slope formula:
to complete our linear equation:
Or in function notation:
We can conclude that the equation that matches this situation is
.
Answer:
2048
Step-by-step explanation:
Time to use recursive formula :)
Since a of 1 = 4 and -the recursive formula is
-2(a of n-1) We know that the r = -2
Convert that to explicit is
f(n) = -2 * 4^n-1
Let's use that to get the value for a of 6.
f(6) = -2 * 4^6-1
= -2 * 4^5
= -2048
Hope it can give u some help
Answer:
g(- 2) = 11
Step-by-step explanation:
To evaluate g(- 2) substitute x = - 2 into g(x) , that is
g(- 2) = 3(- 2)² - 1 = 3(4) - 1 = 12 - 1 = 11