Answer:
The function notation is given as:
$6 + $30 × x
f(x) = $6 + 30x
The dog walker charges $28.50
Step-by-step explanation:
Let the hourly rate be represented by x
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30.
The function notation is given as:
$6 + $30 × x
F(x) = $6 + 30x
How much does the dog walker charge for a 45 minute walk?
We have to convert 45 minutes to 1 hour
60 minutes = 1 hour
45 minutes = x
x = 45/60
x = 3/4(hour)
Putting that in the function notation:
f(x) = $6 + 30x
x = 3/4
$6 + 30(3/4)
$6 + $22.5
= $28.50
Therefore, the dog walker charges $28.50
See below for the changes when the exponential function is transformed
<h3>How to determine the effect of a</h3>
The exponential functions are given as:




An exponential function of the above form is represented as:

See attachment for the graph of the four functions.
<u>When a is large</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and it moves closer to the y-axis
<u>When a is small</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and it moves away from the x-axis
<u>When a is negative</u>
This is represented by 
In this case, the curve of the base form
is vertically stretched and is reflected across the y-axis.
Read more about function transformation at:
brainly.com/question/26896273
#SPJ1
Answer:
The number of possible combinations is 180
Step-by-step explanation:
The numbers to select from are 3-8
These are 6 numbers
Now, the restriction we have is that the 3 characters cannot be the same
For the first character, we have 6 choices;
For the second character, we have another 6 choices
For the last character, since it cannot be the same, we can only have 5 choices
So the possible number of choices will be;
6 * 6 * 5 = 189 combinations
Answer:
12v + 62
Step-by-step explanation:
distribute the 6 to 6, 6, and 2v.
36 + 36 + 12v=
12v + 72
Answer:
Step-by-step explanation:
Two of the sides are 13.5 inches by 2.5 inches, two sides are 13.5 inches by 8 inches, and two sides are 2.5 inches by 8 inches.
Surface area = 2*13.5*2.5 + 2*13.5*8 + 2*2.5*8