Answer:
y - 3 = (2/5)(x + 2)
Step-by-step explanation:
Start with the general point-slope form of the equation of a straight line:
y - k = m(x - h). Now substitute -2 for h and 3 for k, and also 2/5 for m:
y - 3 = (2/5)(x + 2)
Answer:

Given:

To find:

Step-by-step explanation:

See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
<h3>How to plot the numbers on the number line?</h3>
The numbers are given as:
5.3, 5 1/5 and 5
We start by representing the numbers as decimals (i.e. real numbers).
So, we have:
5.3, 5.2 and 5
Reorder the numbers in ascending number (i.e. from least to greatest)
So, we have
5, 5.2 and 5.3
Next, we plot the numbers on a number line using a scale of 0.1
This can be visualized as
5 5.2 5.3
See attachment for the number line that compares the numbers 5.3, 5 1/5 and 5
Read more about number line at
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Answer: a - 4.512 hours
b - 1.94 hours
Step-by-step explanation:
Given,
a) A(t) = 10 (0.7)^t
To determine when 2mg is left in the body
We would have,
A(t) = 2, therefore
2 = 10(0.7)^t
0.7^t =2÷10
0.7^t = 0.2
Take the log of both sides,
Log (0.7)^t = log 0.2
t log 0.7 = log 0.2
t = log 0.2/ 0.7
t = 4.512 hours
Thus it will take 4.512 hours for 2mg to be left in the body.
b) Half life
Let A(t) = 1/2 A(0)
Thus,
1/2 A(0) = A(0)0.7^t
Divide both sides by A(0)
1/2 = 0.7^t
0.7^t = 0.5
Take log of both sides
Log 0.7^t = log 0.5
t log 0.7 = log 0.5
t = log 0.5/log 0.7
t = 1.94 hours
Therefore, the half life of the drug is 1.94 hours