Answer:
Step-by-step explanation:
None. Your notation is unclear.
Answer:
![\large\boxed{12y-9x^2+36-3x^2y=3(3+y)(2-x)(2+x)}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B12y-9x%5E2%2B36-3x%5E2y%3D3%283%2By%29%282-x%29%282%2Bx%29%7D)
Step-by-step explanation:
![12y-9x^2+36-3x^2y\\\\=36+12y-9x^2-3x^2y\\\\=12(3+y)-3x^2(3+y)\\\\=(3+y)(12-3x^2)\\\\=(3+y)(3)(4-x^2)\\\\=3(3+y)(2^2-x^2)\qquad\text{use}\ (a-b)(a+b)=a^2-b^2\\\\=3(3+y)(2-x)(2+x)](https://tex.z-dn.net/?f=12y-9x%5E2%2B36-3x%5E2y%5C%5C%5C%5C%3D36%2B12y-9x%5E2-3x%5E2y%5C%5C%5C%5C%3D12%283%2By%29-3x%5E2%283%2By%29%5C%5C%5C%5C%3D%283%2By%29%2812-3x%5E2%29%5C%5C%5C%5C%3D%283%2By%29%283%29%284-x%5E2%29%5C%5C%5C%5C%3D3%283%2By%29%282%5E2-x%5E2%29%5Cqquad%5Ctext%7Buse%7D%5C%20%28a-b%29%28a%2Bb%29%3Da%5E2-b%5E2%5C%5C%5C%5C%3D3%283%2By%29%282-x%29%282%2Bx%29)
9514 1404 393
Answer:
4 hours 55 minutes
Step-by-step explanation:
Time, speed, and distance are related by ...
t = d/s
t = (177 mi)/(36 mi/h) = 4 33/36 h = 4 11/12 h
The fractional part of this time is ...
11/12 hour is (11/12)(60) = 55 minutes
The van will take 4 hours and 55 minutes to travel a distance of 177 miles.
Answer:
1/151200
Step-by-step explanation:
The number of ways to pick an exact order of any 6 different numbers from 10
![_{6}P^{10}\textrm{}](https://tex.z-dn.net/?f=_%7B6%7DP%5E%7B10%7D%5Ctextrm%7B%7D)
=![\frac{10!}{4!}](https://tex.z-dn.net/?f=%5Cfrac%7B10%21%7D%7B4%21%7D)
= 10×9×8×7×6×5 = 151200 ways
which means the first one can be any of 10 numbers
The second one can be any of 9 numbers
The 3rd one can be any of 8 numbers and so on
Now the 6th one can be any of 5 numbers
Thus there are 10×9×8×7×6×5 = 151200 ways to choose the number
so the required probability is 1/151200