Answer:
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Step-by-step explanation:
Given
---x = 0, in 2012
-- x = 5, in 2017
Required
Select all possible equations
Because there is a reduction in the population, as time increases; the rate must be less than 1.
An exponential function is represented as:
Where
rate > 1 in options (a) and (b) i.e. 1.03
This implies that (a) and (b) cannot be true
For option (c), we have:
Set x = 0
Set x = 5
<em>This is true because the calculated values of f(0) and f(5) correspond to the given values</em>
For option (d), we have:
Set x = 0
<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
For option (e), we have:
Set x = 0
undefined
<em>This is false because the f(x) is not undefined at x = 0</em>
For option (f), we have:
Set x = 0
<em>This is false because the calculated value of f(0) does not correspond to the given value</em>
<em>From the computations above, only (c) </em><em> is true</em>
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Answer:
28.46in
Step-by-step explanation:
C=2πr
C=2π*4.53
C≈28.46in
Answer: 
Step-by-step explanation:
Let x be the average number of pounds Fido must loss.
Since, the initial weight of Fido is 35 pounds.
And, After losing the weight, the new weight of Fido in pounds = 28 pounds.
Then the time taken for losing the weight
= 
= 
According to the question, it must lose weight within 6 months,
Thus, 
Which is the required inequality to find the average number of pounds per month.
By solving it we, get, 
Answer:
Slope is 5/3
y-intercept = -3
y = 5/3x - 3
Step-by-step explanation:
To find the slope, take to coordinates and use the equation below
7-2 = 5
6-3= 3
Now you have your slope which is 5/3
Then take the slope and input it into point slope form to get your y-intercept.
y-y₁=m(x-x₁)
y-2 = 5/3(x-3)
y-2=5/3x-5
add two to both sides to get Y by itself
y = 5/3x - 3
now you have your y-intercept, which is -3
Then check your answer by inputing two different coordinates for X and Y
7 = 5/3(6)-3
7=7
12= 5/3(9)-3
12=12
