Answer:
There are a total of 
functions.
Step-by-step explanation:
In order to define an injective monotone function from [3] to [6] we need to select 3 different values fromm {1,2,3,4,5,6} and assign the smallest one of them to 1, asign the intermediate value to 2 and the largest value to 3. That way the function is monotone and it satisfies what the problem asks.
The total way of selecting injective monotone functions is, therefore, the total amount of ways to pick 3 elements from a set of 6. That number is the combinatorial number of 6 with 3, in other words
Answer:
V=12m
Step-by-step explanation:
V=l×w×h
V=3×4×1
V=12m
Answer:
The slope of the line is 2
Step-by-step explanation:
In this problem you need to know rise over run. This means the slope goes up two and the over one. This makes the slope 2.
Answer:
The discount will take the total down to 71.00$
Step-by-step explanation:
i think this is the answer im not for sure but i hope this helps you :)
Answer:
Step-by-step explanation:
Let's break it down:
In the sinusoidal function 
:
represents Amplitude 
represents a constant related to the Period
represents Phase Shift 
represents Vertical Shift
To find Amplitude, divide the entire height of the function (from top to bottom) by two, or find the vertical distance between the horizontal line of symmetry and the highest/lowest point of the wave. In this case, Amplitude is 2.
To find , use 
, where 
is the period of the function. To find the period, count the horizontal distance of the length of one complete cycle. In this case, period is 
and therefore
.
To find Phase Shift, find the horizontal shift from the parent function 
. In this case, there is no phase shift.
To find Vertical Shift, find the vertical shift from the parent function . In this case, vertical shift is -1.
Thus, we've found:
Substituting these values into , we get:
