Answer:


Step-by-step explanation:
We are given these following functions:


The first step to solve this question is finding the composite functions. So


At x = 2
Now we replace x by 2 in each of the functions. So


Answer:
Expression for perimeter of rectangle is:

Step-by-step explanation:
Width of rectangle is given as
centimeters and
length of the rectangle is given as
centimeters.
To find:
The expression to represent the perimeter of rectangle in centimeters.
Solution:
First of all, let us have a look at the formula to calculate the perimeter of a rectangle.
Perimeter of a polygon is equal to sum of all the sides.
In rectangle, we have a total of 4 sides, 2 sides equal to the width and 2 sides are equal to the length of rectangle.
Therefore, perimeter of a rectangle is equal to twice the sum of width and length of the rectangle.
So, formula:

Where
is the length of rectangle and
is the width of rectangle.
Putting the values of length and width as given in the question statement to find its perimeter:

We can use the concept of combinations for this particular problem since it was clearly stated that the order in which the selection is made does not matter. By using a calculator, we can obtain the value of 62C6 of 61474519. So, there are 61474519 possible different selections.
A.)Hey, there! If you look at the table below, you can see that the output is always 6 more than the input. This means that the rule for this is
. The first one, for example, would be (4) + 6 = 10 because you are substituting for the value of x. The second would be (5) + 6 = 11 and so on.
B.) This problem is designed to trip you up. Notice how it says to write an equation for the cost of the number of razors you buy? It doesn't say anything about finding the monthly fee, which means that the number of razors (x) will be our variable. The equation will look like this:
, because even if you don't buy any razors, you still have to pay the $12 monthly fee.
Hope this was helpful. :)