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Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9               Given that m represents an integer, is  6m(3m + 21)  divisible by 9? Yes or  No

Consider the expression below. Assume the variable m represents an integer. 6m(3m + 21) Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.) 6m(3m + 21) = 9               Given that m represents an integer, is  6m(3m + 21)  divisible by 9? Yes or  No

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.2: Use The Language Of Algebra
Problem 1.56TI: The width of a rectangle is 6 less than the length. Let I represent the length of the rectangle....
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Consider the expression below. Assume the variable m represents an integer.
6m(3m + 21)
Enter an expression in the box that uses the variable m and makes the equation true. (Simplify your answer completely. If no expression exists, enter DNE.)
6m(3m + 21) = 9 
 
 
 
 
 
 
 
Given that m represents an integer, is 
6m(3m + 21)
 divisible by 9?
Yes or  No    
Expert Solution
Step 1

The expression is 6m(3m+21).

6m(3m+21)=918m2+126m-9=09(2m2+14m-1)=02m2+14m-1=0m=-14±(14)2-4(2)(-1)2(2)m=-14±196+84m=-14±2044m=-14±2514m=12-7±5124m=-7±512

Since the value of m is not an integer, so it is DNE.

 

 

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