Answer:
<u>Exponential Function</u>
General form of an exponential function with base :
where:
- A is the y-intercept
- e (Euler's number) is the base
- k is some constant
<h3><u>Question 30</u></h3>
The curve crosses the y-axis at y = 40. Therefore, A = 40.
Substitute the found value of A into the formula along with (1, 56) and solve for :
To find the population in 10 years, substitute into the found equation:
<h3><u>Question 31</u></h3>
The curve crosses the y-axis at y = 10. Therefore, A = 10.
Substitute the found value of A into the formula along with (1, 18) and solve for :
To find the population in 8 years, substitute into the found equation:
The solutions to q² - 125 = 0 are q = ±√125.
q = -5√5
q = 5√5
Answer:
Note that I slightly misread the question and in the steps below found the answer to the nearest thousandth. To the nearest hundredth though, the rectangle has a length of 6.69cm, and a width of 1.35 cm.
Step-by-step explanation:
We are told that the rectangle has an area of nine square centimetres, and that it's length is 4 centimetres more than twice its width. We can express those as:
and
We also know that the area of a rectangle is its length times its width:
We can take that last expression, and plug in the other two, to solve for w
We can then plug that into expression "l = 2w + 4" to find the length:
Now let's see if we have that right, we can multiply these and see if we get an area of 9:
Which after accounting for rounding errors is matches the 9 square centimetres.
Answer: f(x)= 500x + 12000
If the base population is 12000, which I’m sure it is then 500 would be added annually to that population per year which is why it says 500x. Therefore it would be the first one because it’s linear and it’s adding 500 per year.
So I labeled it as (1,7) as A, (-5,7) as B, and (-5,3) as C.So A is (0,5) and B as (-3,5) and then C as (-3,3).I think that would be correct.