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<u><em>Answer:</em></u>m(x) has the same domain as (m*n)(x)
<u><em>Explanation:</em></u><u>1- For m(x):</u>m(x) is a fraction. This means that the <u>denominator cannot be zero</u>, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the <u>domain of m(x) can be any real number except 1</u>
<u>2- For n(x):</u>The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the <u>domain of n(x) is all real numbers</u>
<u>3- For (m*n)(x):</u>(m*n)(x) = m(x) * n(x) = </span>

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We can note that the product is also a fraction. This means that the <u>denominator cannot be zero</u>.
The denominator here will be zero at x = 1.
This means that the <u>domain of (m*n)(x) is all real numbers except 1</u>.
<u>
This is the same as the domain of m(x)</u>
Hope this helps :)</span>
 
        
        
        
Answer:
(x + 3)(x - 1)(x + 2)  
Step-by-step explanation:
The fractions are:  

Factor each denominator  

We must find the least common multiple of the denominators.  We take the maximum power of each separate factor.
       Factors of first fraction = (x + 3) × (x - 1)
Factors of second fraction = (x + 3)             × (x + 2)
                                    LCM = (x + 3)(x - 1)(x + 2)
The lowest common denominator of the two fractions is (x + 3)(x - 1) (x + 2).
 
        
             
        
        
        
Answer: cost of 1 pot of ivy = $12
Cost of 1 rose bush =$ 10
Step-by-step explanation:
Step 1
 Let rose bushes be represented as r
 and pot of ivy be represented as p
such that Amy who spent 82 dollars on 7 rose bushes and 1 pot of ivy can be expressed as 
 7 r + p = 82----- eqn 1 
Rob who spent 74 on 5 rose bushes and 2 pots of ivy can  be expressed as 
 5r +2 p = 74----- eqn 2
Step 2
Solving 
7 r + p = 82----- eqn 1 
 5r +2 p = 74----- eqn 2
 By elimination method Multiply eqn 1 by 5 and eqn 2 by 7
35r+ 5p= 410--- eqn 3
35r+ 14p =518--- eqn 4
 Subtracting eqn 4 from eqn 3
9p = 108
 p = 108/9
p=12
 p = pot of ivy = $12
 therefore rose bush  wll be ( from equation 1)
7r+ p= 82
 7r=82-12
7r= 70 r= 70/7
r= rose bush =$ 10
 
        
             
        
        
        
Compare the areas of the 2 different pieces of paper. 
For the circle, the area is A=pi * r^2, which works out to A = pi(5 inches)^2.
For the square, the area is A = s^2, where is the side length, which here is 11 inches.
Finish these calculations, and then compare your two areas.  Which is the larger?