Answer:
Exponential function: a*b^x
if B is less than 1, it is a decay function
if B is more than 1, then it is a growth function
if B is 0, then the function neither decreases nor increases
Example 1: 100*0.14^x
The y-intercept is decreasing by 86%
Example 2: 3000*1.14^x
The y-intercept is increasing by 14%
Example 3: 400*0
The y-intercept is neither decreasing nor increasing
Going back to the function, <u>a</u> is the y-intercept, and <u>b</u> is the rate
<u>I hope this will help you, I just started to learn about exponential functions..</u>
The equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4
<h3>How to determine the equivalent function?</h3>
The expression is given as:
14r^4y^6/7r^8y^2
Start by dividing 14 by 7
2r^4y^6/r^8y^2
Next divide y^6 by y^2
2r^4y^4/r^8
Lastly divide r^4 by r^8
2y^4/r^4
Hence, the equivalent expression of 14r^4y^6/7r^8y^2 is 2y^4/r^4
Read more about equivalent expression at:
brainly.com/question/2972832
#SPJ1
1.5 is the answer for the question <span />
Answer:
around 67 years
Step-by-step explanation:
hope this helps :)
Answer:
The solution of the differential equation is 
Step-by-step explanation:
The differential equation 
is a first order separable ordinary differential equation (ODE). We know this because a separable first-order ODE has the form:
where <em>g(t)</em> and <em>h(y) </em>are given functions<em>. </em>
We can rewrite our differential equation in the form of a first-order separable ODE in this way:
Integrating both sides
The integral of left-side is:
The integral of right-side is:
We can join the constants, and this is the implicit general solution
If we want to find the explicit general solution of the differential equation
We isolate B
Recall the definition of |x|
So
where 
Now B(1) =30 implies
And the solution is
