Answer:
(f+g)(x)=2^x-5x+1 and
(f-g)(x)=2^x-x-1
Step-by-step explanation:
(f+g)(x)=2^x-3x+1-2x
=2^x-5x+1
(f-g)(x)=2^x-3x-1+2x2x
=2^x-x-1
Solution of a linear inequality
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system. Graph one line at the time in the same coordinate plane and shade the half-plane that satisfies the inequality.
1) Final expression: 
2) Final expression: 
Step-by-step explanation:
1)
The first expression is

First, we remove the 2nd bracket by changing the sign of all the terms inside:

Now we group the terms with same degree together:

Now we solve the expression in each brackets:

So, this is the final expression.
2)
The second expression is

We apply the distributive property, so we rewrite the expression as follows:

Solving both brackets,

Now we group terms of same degree together:

And solving each bracket,

So, this is the final expression.
Learn how to simplify expressions:
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Answer:
area of a circle πr^2
r = 10/2 r = 5
π5^2 = 78.5
area of the square length X width
7 x 7 = 49
78.5 - 49 = 29.5
shaded region = 29.5 square cm