Number of trees infected after t years:
The number of trees infected after t years is given by:
Question 1:
We have to find the number of years it takes to have 21 trees infected, that is, t for which:
Thus:
To isolate t, we apply the natural logarithm to both sides of the equation, and thus:
Thus, it will take 7.6 years for 21 of the trees to become infected.
Question 2:
We have to find the inverse function, that is, first we exchange y and x, then isolate x. So
Again, we apply the natural logarithm to both sides of the equation, so:
Thus, the logarithmic model is:
For an example of a problem that uses exponential functions and logarithms, you can take a look at brainly.com/question/13812761
Answer:
x = 9 and y = 1
Step-by-step explanation:
Here,
x = 10 - y and y = x - 8 is given
then, name the equation
x = 10 - y ...(1)
y = x - 8 ...(2)
Now, put the value of x in equation (2) we get
y = x - 8
y = (10 - y) - 8
y = 10 - y - 8
y + y = 10 - 8
2y = 2
y = 2÷2
y = 1
Here, we get the value of y = 1
Now, we put the value of y in equation (1) we get
x = 10 - y
x = 10 - (1)
x = 10 - 1
x = 9
<h3>
<em><u>VERIFICATION</u></em><em><u>:</u></em></h3>
x = 10 - y
9 = 10 - 1
9 = 9
Hence, LHS = RHS
-TheUnknownScientist
I still dont get the question please explain it better
Add 6 to both sides so the -6 cancels out then divide the 38 you will get from 44-6 by 5 (38/5) to get your answer
Let A unit be a; B unit be b
a + b = 95
b = 95 - a
3a + 5b = 395
3a + 5(95 -a) = 395
3a + 475 - 5a = 395
-2a = -80
a = 40
a + b = 95
40 + b = 95
b = 55
Therefore, a = 40; b = 55.
Hope this helps
