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irina [24]
3 years ago
12

Simplify the following expression and state the excluded values m+7/m^2+4m-21

Mathematics
2 answers:
insens350 [35]3 years ago
7 0
Answer:     1 / (m−3) ;  m ≠ -3, 7 .
_____________________________________
Explanation:
________________________________________
Given:
________________________________________
<span>(m+7) / (m</span>² <span>+ 4m</span> − 21) ; Simplify the expression ;
____________________________________________
In the "denominator" :  " m² + 4m − 21 "  ; see if we can factor out an 
  "(m+7)" which is in the 'numerator' ;
________________________________________
        m² + 4m − 21 = (m+7) (m−3) ;  Yes!
___________________________________________
So, rewrite the original problem as:
___________________________________________
       (m+7) / [(m+7)(m−3)] ; and the "(m−7)" in both the numerator AND the denominator "cancel out" to "1";  since anything divided by that same number equals "1" ;
___________________________________________

So we rewrite the expression:
__________________________________________
   1 / (m−3) ; m ≠ -3, 7 .
_____________________________________________

erastova [34]3 years ago
4 0
5m-14/(m+1)(m-1)

excluded values: 1,-1
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Answer:

C

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3 years ago
Select the correct product.<br><br> (x 2 + 4x + 8)(2x - 1)
marusya05 [52]

Answer:

\large\boxed{(x^2+4x+8)(2x-1)=2x^3+7x^2+12x-8}

Step-by-step explanation:

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(x^2+4x+8)(2x-1)\\\\=(x^2)(2x)+(x^2)(-1)+(4x)(2x)+(4x)(-1)+(8)(2x)+(8)(-1)\\\\=2x^3-x^2+8x^2-4x+16x-8\qquad\text{combine like terms}\\\\=2x^3+(-x^2+8x^2)+(-4x+16x)-8\\\\=2x^3+7x^2+12x-8

7 0
3 years ago
Read 2 more answers
The Question Is:
lora16 [44]

Answer:

C)  ∠3 and ∠6  is the CORRECT OPTION.

Step-by-step explanation:

Here, the image is UNATTACHED. Attaching image here for the reference.

Given: JL and MP are parallel.

Alternate Interior angles is a pair of angles formed when there is a common intersecting line between two parallel lines.

As JL and MP are parallel.

and KN is a traversal. So, the pair of Alternate Interior angles  so formed are:

a)   ∠3 and ∠6

b)   ∠4 and ∠5

Now, out of the given options:

A.  ∠3 and ∠4  is a LINEAR PAIR

B.  ∠1 and ∠6  makes no pair

C. ∠3 and ∠ 6  is a Alternate Interior angles pair

D.  ∠5 and ∠6 LINEAR PAIR

Hence, ∠3 and ∠ 6  is a Alternate Interior angles pair.

3 0
3 years ago
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