Answer:
See explanation
Step-by-step explanation:
<u>Definition:</u> ![S\times T=\{(s,t)|s\in S,\ t\in T\}](https://tex.z-dn.net/?f=S%5Ctimes%20T%3D%5C%7B%28s%2Ct%29%7Cs%5Cin%20S%2C%5C%20t%5Cin%20T%5C%7D)
<u>Given:</u> ![S=\{4,6,8\},\ T=\{3,5,7\}](https://tex.z-dn.net/?f=S%3D%5C%7B4%2C6%2C8%5C%7D%2C%5C%20T%3D%5C%7B3%2C5%2C7%5C%7D)
1. Find ![S\times T:](https://tex.z-dn.net/?f=S%5Ctimes%20T%3A)
![S\times T=\{(4,3),(4,5),(4,7),(6,3),(6,5),(6,7),(8,3),(8,5),(8,7)\}](https://tex.z-dn.net/?f=S%5Ctimes%20T%3D%5C%7B%284%2C3%29%2C%284%2C5%29%2C%284%2C7%29%2C%286%2C3%29%2C%286%2C5%29%2C%286%2C7%29%2C%288%2C3%29%2C%288%2C5%29%2C%288%2C7%29%5C%7D)
There are 9 elements.
2. Find ![T\times S:](https://tex.z-dn.net/?f=T%5Ctimes%20S%3A)
![T\times S=\{(3,4),(3,6),(3,8),(5,4),(5,6),(5,8),(7,4),(7,6),(7,8)\}](https://tex.z-dn.net/?f=T%5Ctimes%20S%3D%5C%7B%283%2C4%29%2C%283%2C6%29%2C%283%2C8%29%2C%285%2C4%29%2C%285%2C6%29%2C%285%2C8%29%2C%287%2C4%29%2C%287%2C6%29%2C%287%2C8%29%5C%7D)
There are 9 elements.
3. Find ![S\times S:](https://tex.z-dn.net/?f=S%5Ctimes%20S%3A)
![S\times S=\{(4,4),(4,6),(4,8),(6,4),(6,6),(6,8),(8,4),(8,6),(8,8)\}](https://tex.z-dn.net/?f=S%5Ctimes%20S%3D%5C%7B%284%2C4%29%2C%284%2C6%29%2C%284%2C8%29%2C%286%2C4%29%2C%286%2C6%29%2C%286%2C8%29%2C%288%2C4%29%2C%288%2C6%29%2C%288%2C8%29%5C%7D)
There are 9 elements.
4. Find ![T\times T:](https://tex.z-dn.net/?f=T%5Ctimes%20T%3A)
![T\times T=\{(3,3),(3,5),(3,7),(5,3),(5,5),(5,7),(7,3),(7,5),(7,7)\}](https://tex.z-dn.net/?f=T%5Ctimes%20T%3D%5C%7B%283%2C3%29%2C%283%2C5%29%2C%283%2C7%29%2C%285%2C3%29%2C%285%2C5%29%2C%285%2C7%29%2C%287%2C3%29%2C%287%2C5%29%2C%287%2C7%29%5C%7D)
There are 9 elements.
Answer:#1- x = 19.5
#2- x = 21
Step-by-step explanation:hope this helps :)
and I like ur pfp
Given :
A principal amount , P .
An interest of 0.5% .
To Find :
An algebraic expression to model the given context.
Solution :
Total money in given context is :
M = Principal amount + ( 0.5% interest on principal amount )
![M=P+\dfrac{0.5}{100}P\\\\M=P+0.005P\\\\M=1.005P](https://tex.z-dn.net/?f=M%3DP%2B%5Cdfrac%7B0.5%7D%7B100%7DP%5C%5C%5C%5CM%3DP%2B0.005P%5C%5C%5C%5CM%3D1.005P)
Therefore , the required algebraic expression is 1.005P .
Hence , this is the required solution .
Answer:
![\huge\boxed{x=-\dfrac{7}{2}=-3.5}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7Bx%3D-%5Cdfrac%7B7%7D%7B2%7D%3D-3.5%7D)
Step-by-step explanation:
![3(-10x-3)+6x=75\qquad/\text{use the distributive property}\\\\(3)(-10x)+(3)(-3)+6x=75\\\\-30x-9+6x=75\qquad/\text{add 9 to both sides} \\\\(-30x+6x)-9+9=75+9\\\\-24x=84\qquad/\text{divide both sides by (-24)}\\\dfrac{-24x}{-24}=\dfrac{84}{-24}\\\\x=-\dfrac{84:12}{24:12}\\\\x=-\dfrac{7}{2}](https://tex.z-dn.net/?f=3%28-10x-3%29%2B6x%3D75%5Cqquad%2F%5Ctext%7Buse%20the%20distributive%20property%7D%5C%5C%5C%5C%283%29%28-10x%29%2B%283%29%28-3%29%2B6x%3D75%5C%5C%5C%5C-30x-9%2B6x%3D75%5Cqquad%2F%5Ctext%7Badd%209%20to%20both%20sides%7D%20%5C%5C%5C%5C%28-30x%2B6x%29-9%2B9%3D75%2B9%5C%5C%5C%5C-24x%3D84%5Cqquad%2F%5Ctext%7Bdivide%20both%20sides%20by%20%28-24%29%7D%5C%5C%5Cdfrac%7B-24x%7D%7B-24%7D%3D%5Cdfrac%7B84%7D%7B-24%7D%5C%5C%5C%5Cx%3D-%5Cdfrac%7B84%3A12%7D%7B24%3A12%7D%5C%5C%5C%5Cx%3D-%5Cdfrac%7B7%7D%7B2%7D)