Answer:
![4n = 24](https://tex.z-dn.net/?f=4n%20%3D%2024)
Step-by-step explanation:
Given
![Cars = 4](https://tex.z-dn.net/?f=Cars%20%3D%204)
![Empty = 3](https://tex.z-dn.net/?f=Empty%20%3D%203)
![Occupied = 21](https://tex.z-dn.net/?f=Occupied%20%3D%2021)
Required
Determine an equation to find number of seats
Let the number of seats in each car be represented by n;
If ![1\ car = n](https://tex.z-dn.net/?f=1%5C%20car%20%3D%20n)
Then:
![4\ cars = 4 * n](https://tex.z-dn.net/?f=4%5C%20cars%20%3D%204%20%2A%20n)
![4\ cars = 4 n](https://tex.z-dn.net/?f=4%5C%20cars%20%3D%204%20n)
This implies that there are 4n total seats
Solving further:
![Occupied\ Seats + Empty\ Seats = Total](https://tex.z-dn.net/?f=Occupied%5C%20Seats%20%2B%20Empty%5C%20Seats%20%3D%20Total)
Substitute values for the above parameters:
![21 + 3 = 4n](https://tex.z-dn.net/?f=21%20%2B%203%20%3D%204n)
![24 = 4n](https://tex.z-dn.net/?f=24%20%3D%204n)
Reorder
---- This equation can be used to solve for n
Domain is the numbers you can use
range is the result of inputing the domain
an interesting fact is that the inverse of a function switches the domain and range
basically
the domain of f(x) becomes the range of f^-1(x)
the range of f(x) becomes the domain of f^-1(x)
so just find the domain and range of f(x)
![f(x)=3x- \frac{1}{2}](https://tex.z-dn.net/?f=f%28x%29%3D3x-%20%5Cfrac%7B1%7D%7B2%7D%20)
there are no restrictions
all real numbers can be used
all real numbers can result
so the answer is domain and range for both is all real numbers
D is answer
19^2 + x^2 = 21^2
19^2 = 361
21^2= 441
361 + x^2 = 441
x^2 = 441-361 = 80
x = sqrt(80) = 8.944 round to nearest tenth = 8.9
Answer:
7
Step-by-step explanation:
Substitution then simplify
First we need to count the total number scores. This can be done from the stem and leaf plot. The total number of scores are 19. The total number of values is odd, so the median position will be:
![\frac{19+1}{2}=10th](https://tex.z-dn.net/?f=%20%5Cfrac%7B19%2B1%7D%7B2%7D%3D10th%20)
Thus the 10th score is the median score for the class of Mr. Robert. The 10th score from the stem and leaf plot is 81.
Thus 81 is the median score of Mr. Robert's Class.