The horizontal asymptote is the value at the y-axis where the graph approaches the line but not necessarily touching it. Hence, the asymptotic characteristic of the graph. The standard form of a function in fraction form is y = (ax^n +...)/(bx^m+...). There are rules to follow to determine the horizontal asymptote of a function.
1) if n = m , then the horizontal equation is y = a/b
2) if n>m, then there is no horizontal equation
3) if n<m, then the horizontal equation is the x axis ; y = 0.
The function given falls on the third rule hence the horizontal asymptote of the function is at y = 0.
Answer:
Billy used 28 mins 30 sec to mow the lawn and Bobby used 43 mins 30 sec to now the lawn both within 72 mins
Step-by-step explanation:
let x represent Billy
let x+15 represent Bobby
x + x + 15 = 72
2x = 72 - 15
2x = 57
2x/2 = 57/2
x = 28.5 minutes = 28 minutes 30 seconds
Bobby = x + 15
= 28.5 + 15
= 43.5 minutes= 43 minutes 30 seconds
Answer:
Step-by-step explanation:
volume=
[
tex]=1/3\pi *9*4+2/3\pi *3^3[/tex]
=
= 30 
volume
Add, -11.5x and move it over to 8.5x
Then, subtract them together and you get 20x + 51.86 = 51.76
And you move (subtract) 51. 86 over to 51.76, subtract that and you get 20x = -0.1
Divide, and your answer is -200
