If 5 added to thrice an integer is – 7, then the integer is
1 answer:
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Answer:
The required equation of line in point-slope form is:
Step-by-step explanation:
Given points are:
(x1,y1) = (3,6)
(x2,y2) = (5,-8)
The point-slope form of an equation is given by:
Here m is slope of the line and (x1,y1) is a point on line
The slope is calculated using the formula:
Putting the values we get
Putting in the equation
Now we have to put a point in the equation, putting (3,6) in the equation
Hence,
The required equation of line in point-slope form is:
Answer:
a) P' = P
where t is step of 6 months
b) 7.7 years
c)1064.67 rabbits/year
Step-by-step explanation:
The differential equation describing the population growth is
Where t is the range of 6 months, or half of a year.
P(t) would have the form of
where is the initial population
After 6 month (t = 1), the population is doubled to 48
Therefore
where t is step of 6 months
b. We can solve for t to get how long it takes to get to a population of 1,000,000:
So it would take 15.35 * 0.5 = 7.7 years to reach 1000000
c.
We need to resolve for k if t is in the range of 1 year. In half of a year (t = 0.5), the population is 48
Therefore,
At the mid of the 3rd year, where t = 2.5, we can calculate P'
rabbits/year