Car : (19 + 28 + 17 + 39 + 22 + 44 + 56) / 7 = 225/7 = 32.14
bus : (32 + 26 + 25 + 40 + 39 + 49 + 22)/7 = 233/7 = 33.29
bus has a higher commuter average
First set up an equation in n:-
3n + 10 = 8n
add -3n to both sides;-
10 = 5n
Using translation concepts, the graph of f(x) is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
The parent absolute value function is given by:
f(x) = |x|
Which has the graph in the format of a V centered at the origin.
The translated function is given by:
g(x) = -1/2|x + 4| + 2.
The translations are as follows:
- Reflection over the x-axis, due to the multiplication by the negative number, thus the V is pointing down now.
- Vertical compression by a factor of 2, due to the division by 2.
- Shift left of 4 units, as x -> x + 4.
- Shift up of 2 units, as y -> y + 2.
Due to the last two translations, the graph is now centered at (-4,2) and is given at the end of the answer.
More can be learned about translation concepts at brainly.com/question/4521517
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2/3 will not be included in the domain of g/f
Step-by-step explanation:
Given functions are:

We have to calculate (f/g)(x) first
The steps will be as follows:

Putting the values of functions

Domain of g/f:

The function will be undefined if the denominator is zero.
To find the domain we will put the denominator equal to zero
So,

Hence, the function will be undefined on x=2/3 so 2/3 will not be included in the domain of (f/g)(x)
<u>Answer:</u>

2/3 will not be included in the domain of g/f
Keywords: Domain, Operations on Functions
Learn more about functions at:
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