Answer:
perimeter = 6w
area = 2w^2
Step-by-step explanation:
we can use the variable w for width, and 2w for length perimeter would be width + width + length + length, or 6w
area is width x length or 2w^2
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).
Interpreting the situation, it is found that Marjorie will have 240 left after paying her penalty.
---------------------
- When the piece lands on the red square, the penalty is equal to <u>30 times the sum they roll on two numbers.</u>
- Marjorie rolls 4 and 2, thus, the sum is 6.
- The penalty is of
- She currently has 420, the penalty removes 180, thus, she will have 420 - 180 = 240 left after paying her penalty.
A similar problem is given at brainly.com/question/12166019
Answer:
The length of the insect in decimeters is: 0.035 decimeters
Step-by-step explanation:
The metric table help us to know:
1 decimeter =100 millimeters
To answer the question we need to know how many decimeters are 3.5 millimeters, so:
The length of the insect in decimeters is: 0.035 decimeters
Answer:
That is correct
Step-by-step explanation:
180° rotation about origin just means that you have to flip the pre-existing image across the x-axis
Good job!
