Answer:
The number of different ways to arrange the 9 cars is 362,880.
Step-by-step explanation:
There are a total of 9 cars.
These 9 cars are to divided among 3 racing groups.
The condition applied is that there should be 3 cars in each group.
Use permutation to determine the total number of arrangements of the cars.
There are 9 cars and 3 to be allotted to group 1.
This can happen in 
ways.
That is, 
ways.
There are remaining 6 cars and 3 to be allotted to group 2.
This can happen in 
ways.
That is, 
ways.
There are remaining 3 cars and 3 to be allotted to group 3.
This can happen in 
ways.
That is, 
ways.
The total number of ways to arrange the 9 cars is: 
Thus, the number of different ways to arrange the 9 cars is 362,880.
Considering the perimeter concept, we have that:
- Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3.
- The correct perimeter, in feet, is: P = 50x + 27.
<h3>What is the perimeter of a polygon?</h3>
The perimeter of a polygon is given by the sum of all the lengths of the outside edges of the polygon.
For this problem, the outside edges are given as follows:
- 2 of 6x - 4, due to the isosceles triangle.
- 2 of 12x + 3, due to the rectangle.
- 1 of 14x + 13, also due to the rectangle, and only one, because of the other part of the rectangle with the same length is internal to the prism;
Danielle's mistake is that she did not consider two outside edges, one of length 6x - 4 and the other of length 12x + 3. Considering all the edges, the perimeter is given by:
P = 2(6x - 4) + 2(12x + 3) + 14x + 13
P = 12x - 8 + 24x + 6 + 14x + 13
P = 12x + 24x + 14x + 8 + 6 + 13
P = 50x + 27.
More can be learned about the perimeter of a polygon at brainly.com/question/3310006
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A 7/4 because the slope of the line is 7/4
(9x-2) - (5x+6) =
4x-8 , this is your profit function
