Answer:
2x + 3
Step-by-step explanation:
To find g(h(x)) substitute x = h(x) into g(x), that is
g(2x) = 2x + 3
Answer:
3x+45=180
3x=180-45
3x=135
x=45
Step-by-step explanation:
Answer:
The geometric mean of 14 and 20 is 16.73.
Step-by-step explanation:
It is required to find the geometric mean of 14 and 20. Let the numbers are :
a = 14 and b = 20
The geometric mean for two numbers is given by :

Plugging the values in above formula as follows :

So, the geometric mean of 14 and 20 is 16.73.
Answer:
1/3
Step-by-step explanation:
The average rate of change of a function f(x) on an interval [a, b] is given by the formula ...
rate of change = (f(b) -f(a))/(b -a)
__
For the given function and interval, this is ...
(log₂(4·8) -log₂(4·2))/(8 -2) = (5 -3)/(6) = 1/3
The average rate of change is 1/3.
_____
In the attached graph, the line between the points at the ends of the interval can be seen to have a rise of 1 for a run of 3. Its slope is 1/3.
It starts at 100% - 15% = 85% after the first year. $15,000*0.85 = $12,750
The second year is further reduced 100% - 16% = 84%
$12,750*0.84 = $10,710