We are asked to sum the two trinomials 
. We can start by using the distributive property to remove the parenthesis, giving us 
. Next, when we combine like terms, we get 
. Hope this helped!
One number is 4 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 538,
2 answers:
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Step 1. Solve both inequalities for 
:
Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
and 
:
(1)
(2)
Replace (1) in (2):
Solve for
:
(3)
Replace (3) in (1):
We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.
Step 2. To check a point in the solution of the given system of inequalities, look for the intercepts of the lines
Replace (1) in (2):
Solve for
Replace (3) in (1):
We can conclude that the point (-2,3) is in the solution of the system if <span>inequalities</span>; also any point inside the dark shaded area of the graph of the system of inequalities is also a solution of the system.