See attachment for graph.
Notes: graph each line as if they are "equal".
Then draw the lines as:
dashed for < and >
solid for ≤ and ≥
Next, choose a test point and plug it into both equations. If the result is True for BOTH equations, then shade that section.
A) Your organization gets half of the revenue after 30% is deducted. You get ...
(1/2)×($3 - 0.30×$3) = (1/2)×$3×0.70 = $1.05 for each box of cookies
B) If the number you must sell to earn $100 is represented by n, then you have
$1.05×n = $100
n = 100/1.05 ≈ 95.24
To earn $100 for your local chapter, you must sell 96 boxes of cookies.
Given:
To find:
The simplified expression by factoring.
Solution:
Let us factor the numerator:
31x can be written as 3x + 28x.
Take 3x common in 1st two terms and 7 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
In the same way, factorize the denominator:
8x can be written as 4x + 4x.
Take 4x common in 1st two terms and 1 common in next two terms.
Make sure the remaining terms in the both brackets must be same.
Now, take out common factor (4x + 1).
Substitute the terms we found for numerator and denominator:
Cancel the common factors.
The simplified expression is 
.
Answer:
6.7 * 10^7
Step-by-step explanation:
