Negative numbers aren't in a solution set because in equations and inequalities you have to multiply and divide and a positive number divided by a negative number will be a negative number. Positive divided by positive will be positive. Negative divided by negative will be positive. So that's why negative numbers aren't a solution to any set or equation.
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Answer:

Step-by-step explanation:
Given: The attachment
Required: Determine the equation
We start by picking any two equivalent points on the table:


Next, we determine the slope, M:




The equation is then calculated as:

Where:


So, we have:

Open bracket

Collect like terms


Hence, the equation is: 
Answer:
B. 120
Step-by-step explanation:
Each ribbon is 25 yards long. Each yard is 36 inches, so the length of the ribbon is ...
(25 yd)(36 in/yd) = 900 in
This can be divided into n pieces, where n satisfies ...
22n ≤ 900
n ≤ 900/22 = 40 20/22
That is, Erika can cut 40 22-inch pieces from each 25-yard piece, and will have 20 inches left over.
From the 3 25-yard pieces, Erica can cut 3×40 = 120 pieces of ribbon that are 22 inches long.
_____
She will have 3 pieces that are 20 inches left over.
Answer:
- D. e + c ≤ 21, 225e + 275c ≤ 6000
Step-by-step explanation:
Maximum of 21 hours each semester between elective classes and core classes, the required inequality is:
Each elective class cost $225 per semester hour and each core class costs $275, the sum is 225e + 275c.
He cannot spend more than $6,000, the required inequality is:
Correct option is D