There are, 3 x 2 x 1 = 6 possible ways of arranging the three digits. Therefore in that set of 720 possibilities, each unique combination of three digits is represented 6 times. So 720 different combinations are possible.
Answer:
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or

Step-by-step explanation:
Given
![f(x) = \sqrt[3]x](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%5Csqrt%5B3%5Dx)
Required
Write a rule for g(x)
See attachment for grid
From the attachment, we have:


We can represent g(x) as:

So, we have:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
For:

![2 = n * \sqrt[3]{-1}](https://tex.z-dn.net/?f=2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D%7B-1%7D)
This gives:

Solve for n


To confirm this value of n, we make use of:

So, we have:
![-2 = n * \sqrt[3]1](https://tex.z-dn.net/?f=-2%20%3D%20n%20%2A%20%5Csqrt%5B3%5D1)
This gives:

Solve for n


Hence:
![g(x) = n * \sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%20%3D%20n%20%2A%20%5Csqrt%5B3%5Dx)
![g(x)=-2\sqrt[3]x](https://tex.z-dn.net/?f=g%28x%29%3D-2%5Csqrt%5B3%5Dx)
or:

Answer:
10 cars
Step-by-step explanation:
volleyball team = past money + money from car wash = 40 + 2 per car = 40 + 2 * number of cars
wrestling team = past money + money from car wash = 50 + 1 * number of cars
set the two equal to each other because they raise the same amount
40 + 2 * number of cars = 50 + 1 * number of cars
set number of cars to n
40 + 2n = 50 + n
subtract n from both sides to put all the variables on one side
40 + n = 50
subtract 40 from both sides to find n
n = 10
Answer: -1320
Step-by-step explanation:
Answer:
y=-3x-1
Step-by-step explanation:
We khow the the equation of the graph function have this form : y=mx+c
- Let f be our function
- m= (f(1)-f(-1)]/[1-(-1)]=(-4-2)/2= -3
- so y= -3x+c
- let's replace x and y by the coordinates of a khown point to calculate c
- (1, -4) ⇒ -4= -3*1+c ⇒ c= -4+3 ⇒ c= -1
- y= -3x-1