Answer:
D
Step-by-step explanation:
1, 17, and 20 are very different from the average numbers in this list.
Answer:
No
Step-by-step explanation:
If the sprinkler takes 20 seconds to cross the garden, and it crosses the garden 150 times, the total number of seconds it took can be calculated by multiplying 20 and 150. You get 3000 seconds, but you need to convert that to minutes to tell if it will take more or less than an hour. So divide 3000 by 60 (the number of seconds in 1 minute). Your answer is 50 minutes. And since 1 hour is 60 minutes, it doesn't take more than an hour to cross the garden 150 times.
Answer:
21
Step-by-step explanation:
It might be 21/30 , hope it helps though :)
Problem 1
<h3>Answer: False</h3>
---------------------------------
Explanation:
The notation (f o g)(x) means f( g(x) ). Here g(x) is the inner function.
So,
f(x) = x+1
f( g(x) ) = g(x) + 1 .... replace every x with g(x)
f( g(x) ) = 6x+1 ... plug in g(x) = 6x
(f o g)(x) = 6x+1
Now let's flip things around
g(x) = 6x
g( f(x) ) = 6*( f(x) ) .... replace every x with f(x)
g( f(x) ) = 6(x+1) .... plug in f(x) = x+1
g( f(x) ) = 6x+6
(g o f)(x) = 6x+6
This shows that (f o g)(x) = (g o f)(x) is a false equation for the given f(x) and g(x) functions.
===============================================
Problem 2
<h3>Answer: True</h3>
---------------------------------
Explanation:
Let's say that g(x) produced a number that wasn't in the domain of f(x). This would mean that f( g(x) ) would be undefined.
For example, let
f(x) = 1/(x+2)
g(x) = -2
The g(x) function will always produce the output -2 regardless of what the input x is. Feeding that -2 output into f(x) leads to 1/(x+2) = 1/(-2+2) = 1/0 which is undefined.
So it's important that the outputs of g(x) line up with the domain of f(x). Outputs of g(x) must be valid inputs of f(x).
X=3, y=4
x=-2, y=9
Set x equal to anything, then isolate y to get the other number.
