We are given the function: <span> 1 divided by the quantity x minus 2 squared and is asked in the problem to determine the limit of x as x approaches 2 as well as vertical asymptotes if there are any. To find the limit, we just have to substitute the equation with the value of the numerical limit. The equation then becomes, 1/ (x-2)^2 = 1/(2-2)^2 = 1/0 . Any number divided by zero is equal to infinity so the limit is infinity. A vertical asymptote is the value of x in which the denominator becomes zero, that is (x-2)^2 = 0; x = 2. The vertical asymptote is equal to 2.</span>
The formula for the area of a rectangle is
, so given that
, the area of the entire rectangle is
. We now subtract the white part, with area
, so
Y/6 = 8/11
cross multiply
(11)(y) = (8)(6)
11y = 48
y = 48/11
y = 4.36 rounds to 4.4 <==
Answer:
For example, a multiple of 2 is 2, 4, 6, 8, etc...
So if your question is find three multiples of 36, it would 36, 74 and 110.
Hoped this helped, have a nice day!
Brainlyest plz?
Question:
Raul works at a movie theatre. The function f(x) represents the amount of money Raul earns per ticket, where x is the number of tickets he sells. The function g(x) represents the number of tickets Raul sells per hour, where x is the number of hours he works. Show all work to find f(g(x)), and explain what f(g(x)) represents.
f(x) = 2x2 + 16
g of x equals the square root of the quantity 5 x cubed
Answer:
f(g(x))=
Step-by-step explanation:
Given:
f(x) =
g(x) =
f(x) represents the amount of money Raul earns per ticket
x is the number of tickets he sells
g(x) represents the number of tickets Raul sells per hour
To find:
f(g(x)) = ?
Solution:
f(g(x)) represent the amount Raul earns by selling tickets for x hours
We know,
f(x) =
f(g(x)) =
The square root and power 2 cancel each other
f(g(x)) =
f(g(x)) =
So at x hours
Raul earns
For example lets assume Raul works for 5 hours, then the amount he earns will be
f(g(x)) =
f(g(x)) = 10(125) +16
f(g(x)) = 1250 +16
f(g(x)) = 1266
You can also find the amount Raul earns by
g(x) =
g(x) =
g(x) = 25
Substituting in f(x)
f(g(x)) = f(25)
f(25) =
f(25) = 2(625) +16
f(25) = 1250 + 16
f(25) = 1266
so Raul will be earning 1266 if he sells tickets for 5 hours