Answer:

Step-by-step explanation:
Given
← factorise numerator and denominator
2x² - 18 ( factor out 2 from each term )
= 2(x² - 9) ← difference of 2 squares
= 2(x - 3)(x + 3)
and
x² + 4x - 21 = (x + 7)(x - 3) , then
=
← cancel common factor (x - 3) on numerator/ denominator
= 
Your equation is the following:
11 7/7 - (-8 3/7)
the first step to solving this is to know that when there is a
"-" sign in front of the parenthesis, you need to change the sign of each term in the parenthesis.
11 7/7 + 8 3/7
now, add the whole numbers and the fractional parts of the mixed numbers separately.
(11 + 8) + (

)
add the whole numbers together
19 + (

)
now add the fractions together
19 + 10/7
next, convert the improper fraction to a mixed number
19 + 1 3/7
now, you will write the mixed number as a sum of the whole number and its fractional part.
19 + 1 + 3/7
add the numbers together
20 + 3/7
finally, write the sum of the whole number and the fraction as a mixed number
20

let me know if you have any further questions
:)
Step-by-step explanation:
From the question. The first term is a which is 4. The common ratio is 8/4 = 2. n is 12 since we are looking for the 12th term.
The solution is attached below. The answer is 8192
Well she starts with $7 and gets $1 the first time by selling it one dollar more than she bought it for. Then she loses nine dollars so that's $1-$9 which is -$8. Then she makes $10. So that would be -8+10 which is 2. So she made $2 profit.