The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
<h3>What is an
exponential function?</h3>
An exponential function is in the form:
y = abˣ
Where a is the initial value of y and b is the multiplication factor.
Let f and g representing the approximate number of viewers, in millions, x weeks after the tracking begins.
The number of viewers for television show 1 and show 2 is given as f = 14.7(0.94)ˣ and g = 15.2(1.03)ˣ
Find out more on exponential function at: brainly.com/question/12940982
Using the given values from the problem and the illustration, three points are known which are (0,0), (6.5,-31), (-6.5,-31). The first step in solving this problem is to determine the equation of the parabola.
y = ax²
-31 = a(6.5)²
-31 = 42.25a
a = -31/42.25
a = -124/169
Therefore, the equation of the parabola is y = (-124/169)x². The value 4.5 is then substituted in the equation as x to get the answer which is 16.14 meters.
You can use trigonometry and the tangent to get:
tan(11°)=150/x
so x=772 ft
Answer:
- A. f(x) = (x - √2)(x + √3)
Step-by-step explanation:
Leading coefficient is 1, multiplicity is 1, roots are √2 and -√3. It means the function is the product of two binomials.
<u>The function with the roots of a and b is:</u>
<u>Substitute and and b:</u>
- f(x) = (x - √2)(x - (-√3)) ⇒
- f(x) = (x - √2)(x + √3)
Correct choice is A
Answer:

Step-by-step explanation:
The logistic equation is the following one:

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.
In this problem, we have that:
Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that
.
The number of fish tripled in the first year. This means that
.
Using the equation for P(1), that is, P(t) when
, we find the value of r.









Applying ln to both sides.


This means that the expression for the size of the population after t years is:
