1) Cancel out the common factor which in this case is 8 
2)First apply exponent rule 
now cancel out the common factors which are n and n+7 leaving you with 
3)Factorize 
cancel out the common factor in this case x+2 leaving you with 
4) Factorize 
cancel out the common factor in this case 3w-1 leaving you with 
5) In the picture
6)In the picture
I am REALLY tired sorry I wont be able to do the rest, I hope these are helpful :)
Answer:
Plan Two
Step-by-step explanation:
If you do all the math, which is not that hard, you can find the answer easily. I think if you tried to do it yourself, you would learn and benefit more.
Answer:
0.98 $/cup
Step-by-step explanation:
The final answer asks for price/cup, as "per" means "divided by".
So, our final units will be in $/cup.
We are given that for every 2 gallons, it will cost $31.36.
In order to get from gallons to cups, we need to convert units.
In 1 gallon, there are 16 cups.
So, our conversion factor will be 16 cups/1 gallon.
$/cup
Important things to note:
- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer
PART A:
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000
PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500
