Hello from MrBillDoesMath!
Answer:
f(2-k) = -2 + 5k
Discussion:
If f(x) = 8 - 5x
, then
f(2-k) = 8 - 5(2-k) =>
f(2-k) = 8 - 10 + 5k =>
f(2-k) = -2 + 5k
Regards,
MrB
Answer:
The answer is "
"
Step-by-step explanation:
Given:
![\bold{\frac{(m-n)}{m^2-n^2} + \frac{?}{(m-1)(m-2)} - \frac{2m}{m^2-n^2}=0}\\\\](https://tex.z-dn.net/?f=%5Cbold%7B%5Cfrac%7B%28m-n%29%7D%7Bm%5E2-n%5E2%7D%20%2B%20%5Cfrac%7B%3F%7D%7B%28m-1%29%28m-2%29%7D%20-%20%5Cfrac%7B2m%7D%7Bm%5E2-n%5E2%7D%3D0%7D%5C%5C%5C%5C)
let, ? = x then,
![\Rightarrow \frac{(m-n)}{m^2-n^2} + \frac{x}{(m-1)(m-2)} - \frac{2m}{m^2-n^2}=0\\\\\Rightarrow \frac{(m-n)}{m^2-n^2} - \frac{2m}{m^2-n^2}=- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{(m-n)-2m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{m-n-2m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-n-m}{(m^2-n^2)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-(m+n)}{(m+n)(m-n)} =- \frac{x}{(m-1)(m-2)} \\\\\Rightarrow \frac{-1}{(m-n)} =- \frac{x}{(m-1)(m-2)} \\\\](https://tex.z-dn.net/?f=%5CRightarrow%20%5Cfrac%7B%28m-n%29%7D%7Bm%5E2-n%5E2%7D%20%2B%20%5Cfrac%7Bx%7D%7B%28m-1%29%28m-2%29%7D%20-%20%5Cfrac%7B2m%7D%7Bm%5E2-n%5E2%7D%3D0%5C%5C%5C%5C%5CRightarrow%20%5Cfrac%7B%28m-n%29%7D%7Bm%5E2-n%5E2%7D%20-%20%5Cfrac%7B2m%7D%7Bm%5E2-n%5E2%7D%3D-%20%5Cfrac%7Bx%7D%7B%28m-1%29%28m-2%29%7D%20%5C%5C%5C%5C%5CRightarrow%20%5Cfrac%7B%28m-n%29-2m%7D%7B%28m%5E2-n%5E2%29%7D%20%3D-%20%5Cfrac%7Bx%7D%7B%28m-1%29%28m-2%29%7D%20%5C%5C%5C%5C%5CRightarrow%20%5Cfrac%7Bm-n-2m%7D%7B%28m%5E2-n%5E2%29%7D%20%3D-%20%5Cfrac%7Bx%7D%7B%28m-1%29%28m-2%29%7D%20%5C%5C%5C%5C%5CRightarrow%20%5Cfrac%7B-n-m%7D%7B%28m%5E2-n%5E2%29%7D%20%3D-%20%5Cfrac%7Bx%7D%7B%28m-1%29%28m-2%29%7D%20%5C%5C%5C%5C%5CRightarrow%20%5Cfrac%7B-%28m%2Bn%29%7D%7B%28m%2Bn%29%28m-n%29%7D%20%3D-%20%5Cfrac%7Bx%7D%7B%28m-1%29%28m-2%29%7D%20%5C%5C%5C%5C%5CRightarrow%20%5Cfrac%7B-1%7D%7B%28m-n%29%7D%20%3D-%20%5Cfrac%7Bx%7D%7B%28m-1%29%28m-2%29%7D%20%5C%5C%5C%5C)
![\Rightarrow -((m-1)(m-2))=-x(m-n) \\\\\Rightarrow x= \frac{- (m-1)(m-2)}{- (m-n)} \\\\\Rightarrow \boxed{x= \frac{(m-1)(m-2)}{(m-n)}} \\](https://tex.z-dn.net/?f=%5CRightarrow%20-%28%28m-1%29%28m-2%29%29%3D-x%28m-n%29%20%5C%5C%5C%5C%5CRightarrow%20x%3D%20%5Cfrac%7B-%20%28m-1%29%28m-2%29%7D%7B-%20%28m-n%29%7D%20%5C%5C%5C%5C%5CRightarrow%20%5Cboxed%7Bx%3D%20%5Cfrac%7B%28m-1%29%28m-2%29%7D%7B%28m-n%29%7D%7D%20%5C%5C)
Answer:
ok
Step-by-step explanation:
Answer:
Based on the calculations, the store with the better buy is The Eyewear Shoppe
Step-by-step explanation:
Jake wants to buy two pairs of a particular style of sunglasses. The sunglasses are sold at two different stores.
For The Eyewear Shoppe:
The Eyewear Shoppe sells the sunglasses for $60 but is having a “Buy 1 Pair, Get 1 Pair Free” promotion.
Based on this promotion, you can get 2 sunglasses for $60
For Sunglass House
Sunglass House sells the sunglasses go 20% off the $40 retail price.
A Sunglass = $40 - ( 20%× $40)
= $40 - $8
= $32
Two sunglasses will cost = $32 × 2
= $64
Therefore, based on the above calculations, the store with the better buy is The Eyewear Shoppe
Answer:
25, 31, 38
Step-by-step explanation:
The first differences are increasing by 1 each time. The next differences will be 5, 6, 7, so the next numbers will be 25, 31, 38.