X^2-11x+28=0
(x-7)(x-4)=0
x-7=0
x=7
x-4=0
x=4
Answer:
They can invite 136 while staying in budget
Step-by-step explanation:
Firstly, you know they will have to pay an $80 cleaning fee, therefore, you can subtract 80 from 5,000:
5,000-80 = 4,920
After doing this, you can take 4,920 and divide it by 36 (the price per person).
4,920/36 = 136.67
Because you can not have .67 of a person, your closest number you can use is 136.
leaving them with $24
Answer:
x=1
Step-by-step explanation:
x = -4 + 6 + (11 + 4(-3)).
First get the numbers in the parentheses
x = -4 + 6 + (11 - 12)
Since 11 - 12 = -1. We can replace (11-12) with -1
x = -4 + 6 -1
Now add and subtract
x = 1
Answer:
g) 
, h) 
Step-by-step explanation:
We proceed to solve each equation by algebraic means:
g) 
1) Given
2) 
Definition of division
3) 
4) 
Associative property
5) 
/Result
h) 
1) Given
2) 
Definition of division
3) 
4) 
Factorization/Distributive property
5) ![\left(\frac{1}{3} \right)\cdot (x+4)\cdot (x+2)\cdot \left(\frac{x-4}{x-4} \right)\cdot \left[\frac{x-5}{(x-5)^{2}} \right]](https://tex.z-dn.net/?f=%5Cleft%28%5Cfrac%7B1%7D%7B3%7D%20%5Cright%29%5Ccdot%20%28x%2B4%29%5Ccdot%20%28x%2B2%29%5Ccdot%20%5Cleft%28%5Cfrac%7Bx-4%7D%7Bx-4%7D%20%5Cright%29%5Ccdot%20%5Cleft%5B%5Cfrac%7Bx-5%7D%7B%28x-5%29%5E%7B2%7D%7D%20%5Cright%5D)
Modulative and commutative properties/Associative property
6) /
/Definition of division/Result
Answer:
The total number of ways to select 2 CDs from 8 CDs is 28.
