For a better understanding of the solution provided here please find the three files that have been attached.
We are given the equation
This equation can be simplified to represent in terms of
as:
To find three points that solve the equation, all that we need to do is to choose three convenient values of and solve the corresponding
values. For this, we will make a table which has been attached as the first file.
As can be seen from the table, the three points that lie on the graph or in other words solve the equation are: .
On a graph, mark these three points as shown on the graph in attachment 2.
Now, as a final step take a scale ruler and draw a straight line joining all the above three points. The resulting line will be the graph of the linear equation, -3x + 2y = 2.
The last attachment shows the final graph.
Answer:
The American population was 20% of the British population.
Step-by-step explanation:
Let us call the american population,
the British population before the migration, and
the population that migrated from America to Britannia.
Now, the population that migrated was 20% of the american population:
,
and the same population increase the British population by 4%:
Combining equation (1) and (2) we get:
Thus, the American population was 20% of the British population.
Answer:
see below
Step-by-step explanation:
The exponent rules that apply are ...
(a^b)(a^c) = a^(b+c)
a^-b = (1/a)^b
(a^b)^c = a^(b·c)
_____
These let you rewrite the given function as ...
f(x) = (3^(2x))(3^1) = 3(3^(2x)) = 3(3^2)^x = 3·9^x
and
f(x) = 3^(2x+1) = (3^-1)^(-(2x+1)) = (1/3)^-(2x+1)
