Write down y=f(x) and then solve the equation for x, giving something of the form x=g(y).
Find the domain of g(y), and this will be the range of f(x). ...
If you can't seem to solve for x, then try graphing the function to find the range.
Answer: 7 years
Step-by-step explanation:
= In2 / ∧
since the half life is given , we have :
22 = In 2/ ∧
∧ = In2/22
∧ = 0.032
Recall the formula for half life:
=
Therefore:
0.80 =
Take the In of both sides
In 0.80 = - 0.032t
t = In 0.80 / - 0.032
t = 7 years
Just put it over 100
Example 0.45 = 45/100
Answer: Here I simplified it and I think its right.
Step-by-step explanation:
Answer:
So to graph using a table, the first step is...well... make a table. so you have a column of x and y. under the x column write down a bunch of values you would like to test. I am going to test -2 through 2.
x | y
-2|
-1|
0 |
1 |
2 |
Next, we have to plug each of those values into the equation y=2x to see what the corresponding y value is.
when x=-2 y=2(-2)=-4, when x=-1 y=2(-1)=-2, and so on...
x | y
-2|-4
-1|-2
0 |0
1 |2
2 |4
Next, graph those points on a coordinate plane. Each row on the table is a point on the graph, (x,y). Hope that helps!