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likoan [24]
3 years ago
11

-2m(m+n-4)+5(-2m+2n)+n(m+4n-5)

Mathematics
2 answers:
charle [14.2K]3 years ago
8 0
Hello! And thank you for your question!

First we are going to expand the equation:

<span>−2<span>m^<span><span>​2</span><span>​​</span></span></span>−2mn+8m−10m+10n+nm+4<span>n<span><span>​^2</span><span>​​</span></span></span>−5n

Then we are going to combine like terms:

</span><span><span>−2<span>m<span><span>​^2</span><span>​​</span></span></span>+(−2mn+mn)+(8m−10m)+(10n−5n)+4<span>n<span><span>​^2</span><span>​​</span></span></span></span>
</span>
Then finally, simplify:

−2<span>m<span><span>​^2</span><span>​​</span></span></span>−mn−2m+5n+4<span>n<span>​^<span>2

Final Answer:
</span></span></span>
−2m​^2​​−mn−2m+5n+4n​^2
arlik [135]3 years ago
4 0
-2m(m+n-4)+5(-2m+2n) +n(m+4n-5)
-2m^2-2mn+8m-10m+10n+mn+4n^2-5n
-2m^2+4n^2-2m+5n-mn
Hope this helps!
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Dovator [93]
You first do 3 + 2, which would equal 5. Then, you would just do 3/5. 
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3 years ago
Suppose a shipment of 190 electronic components contains 3 defective components. To determine whether the shipment should be​ ac
PolarNik [594]

Answer:

0.0467

Step-by-step explanation:

Probabilty of being defective is  \frac{3}{190}

So probability of being good is  \frac{187}{190}

Now,

Probability that all 3 of them are good is:

\frac{187}{190}^{3}=0.9533

Now, to find probability of rejection, we subtract the now found probability from 1. Thus, we have:

1 - 0.9533 = 0.0467

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3 years ago
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Aleks04 [339]
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4 0
3 years ago
4. The equation of the line on the graph below is a direct variation equation. What is the constant of variation?
choli [55]

\frac{1}{4} → a

the equation is y = mx ( where m is the slope / constant of variation )

calculate m using the gradient formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁) = (0, 0 ) and (x₂, y₂ ) = (4, 1) ← 2 points on the line

m = \frac{1-0}{4-0} = \frac{1}{4}


3 0
3 years ago
PLEASE HELP I WILL MAKE BRAINLIST
kotykmax [81]

Answer:

22

Step-by-step explanation:

Generate the terms of sequence T using the nth term formula n² - 3

a₁ = 1² - 3 = 1 - 3 = - 2

a₂ = 2² - 3 = 4 - 3 = 1

a₃ = 3² - 3 = 9 - 3 = 6

a₄ = 4² - 3 = 16 - 3 = 13

a₅ = 5² - 3 = 25 - 3 = 22

22 is common to sequence S and T

6 0
3 years ago
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