We are going to use the basic form of an exponential function:
to solve this problem.
Since we have tow points
and
, we are going to have a system of equations:
equation (1)
equation (2)
We know for our problem that
,
,
, and
, so lets replace those values in our equations:
equation (1)
equation (2)
Now, we just need to find
and
:
Dividing equation (2) by equation (1):
equation (3)
Replacing equation (3) in equation (1):
Finally, we can put our function together:
We can conclude that the exponential function whose graph passes through the points (2,8) and (5,512) is
.
True
because 2 is a prime number, and it is divisible by 2
Answer:
$48
Step-by-step explanation:
80 x 0.4 = 32
80 - 32 = 48
Hoped it Helped :-)
Answer:
- 3, - 11, - 35, - 107
Step-by-step explanation:
Using the recursive formula with f(1) = - 3 , then
f(2) = - 2 + 3f(1) = - 2 + 3(- 3) = - 2 - 9 = - 11
f(3) = - 2 + 3f(2) = - 2 + 3(- 11) = - 2 - 33 = - 35
f(4) = - 2 + 3f(3) = - 2 + 3(- 35) = - 2 - 105 = - 107
Thus the first four terms are
- 3, - 11, - 35, - 107