Answer:
Quotient = x - 7
Step-by-step explanation:
We are dividing x^2 - 5x +8 by x + 2
x + 2√x^2 - 5x + 8
Starting with dividing by x
x - 7
x + 2√ x^2 - 5x + 8
Multiplying x by x + 2
x
x + 2√ x^2 - 5x + 8
-
x^2 + 2x
= -7x + 8
Step ii, pick -7 for division
-7x + 8
-
-7x - 14
= +8 -(-14)
= 8+14
= 22
The answer is
( x - 7) remainder 22
(x - 7) is the quointent
22 is the remainder
Answer: 
This is the same as writing (n-m)/n
Don't forget about the parenthesis if you go with the second option.
==================================================
Explanation:
The probability that she wins is m/n, where m,n are placeholders for positive whole numbers.
For instance, m = 2 and n = 5 leads to m/n = 2/5. This would mean that out of n = 5 chances, she wins m = 2 times.
The probability of her not winning is 1 - (m/n). We subtract the probability of winning from 1 to get the probability of losing.
We could leave the answer like this, but your teacher says that the answer must be "in the form of a combined single fraction".
Doing a bit of algebra would have these steps

and now the expression is one single fraction.
Answer:
Let the amounts be 2x and 3x.
Then 2x+3x=60
So, 5x=60
So, x=60/5=12
So, amounts are
2x=2*12=24
And 3x=3*12=36
Hope this helps you!
Step-by-step explanation:
6x^3 + 5y^3 + 7y
So the third option.