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worty [1.4K]
3 years ago
6

(6m^3 -16m^2 + 15m - 40) / (2m^2 + 5)

Mathematics
1 answer:
Helen [10]3 years ago
4 0
        6m3 - 16m2 + 15m - 40<span> Simplify ————————————————————— 2m2 + 5 </span>Checking for a perfect cube :

<span> 4.1 </span>  <span> 6m3 - 16m2 + 15m - 40</span>  is not a perfect cube 

Trying to factor by pulling out :

<span> 4.2 </span>     Factoring: <span> 6m3 - 16m2 + 15m - 40</span> 

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  15m - 40 
Group 2: <span> -16m2 + 6m3</span> 

Pull out from each group separately :

Group 1:   (3m - 8) • (5)
Group 2: <span>  (3m - 8) • (2m2)</span>
               -------------------
Add up the two groups :
              <span> (3m - 8)  • </span><span> (2m2 + 5)</span> 
<span>Which is the desired factorization</span>

<span>3m-8 is the answer</span>

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Elena L [17]

2 Answers:

Choice B and Choice C

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Reasoning:

c = cost of one crate (some unknown amount in dollars)

c+20 = cost of a crate and a leash

5(c+20) = cost of five sets of items mentioned

5(c+20) = 475 is one equation we can form

5c+100 = 475 is another equation we can form

I used the distributive rule to go from 5(c+20) to 5c+100.

The 100 indicates that the five leashes combine to $100, since 5*20 = 100.

The 5c represents the cost of all five crates combined.

So 5c+100 is another way to express the total cost of all five crates and all five leashes.

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Side note: Solving either equation leads to c = 75, meaning that each crate costs $75.

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2 years ago
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abruzzese [7]
When it comes to finding a missing angle of a right triangle all you have to do is subtract the sum of the other two angles that you already know. For example, when you have a right triangle and the measures of two angles are 90 and 65 all you have to do is this...
90+65= 155
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180-155= 25 which is the sum of the missing angle. 

Hope I helped!
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3 years ago
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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