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Ipatiy [6.2K]
2 years ago
6

The lengths of two sides of a triangle are shown below:

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
6 0

<u>Part A</u>

<u />3x^2 -2x-1+9x+2x^2 -3=\boxed{5x^2 + 7x-4}

<u>Part B</u>

<u />(5x^3 +4x^2 - x-3)-(5x^2 + 7x-4)=\boxed{5x^3 - x^2 - 8x+1}

<u>Part C</u>

No, because although they provide examples for specific polynomials being closed under addition and subtraction, there is a loss of generality.

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What is 4log1/2^w(2log1/2^u-3log1/2^v written as a single logarithm?
IrinaK [193]
Given:

4log1/2^w (2log1/2^u-3log1/2^v)

Req'd:

Single logarithm = ?

Sol'n:

First remove the parenthesis,

4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)

Simplify each term,

Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:

 log 1/2 (w^4)  + 2 log 1/2 (u) - 3 log 1/2 (v) 
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)

We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):

Thus,

Log of 1/2 (w^4 u^2) - log of 1/2 (v^3) 

then use the quotient property of logarithms which is log of b (x)  - log of b (y) = log of b (x/y)

Therefore, 

log of 1/2 (w^4 u^2 / v^3)

and for the final step and answer, reorder or rearrange w^4 and u^2:

log of 1/2 (u^2 w^4 / v^3)  
8 0
3 years ago
Read 2 more answers
if a lake has high alkalinity, what is closest to the probability that the lake also has a shallow depth?
never [62]

Answer:

0.22

Step-by-step explanation:

Probability distribution is the function which describes the likelihood of possible values assuming a random variable. The alkalinity of lake is determined by dividing the high shallow depthness by the total of lake alkalinity. The shallow depth is 209 and the total alkalinity of the lake is 966. By dividing the depthness with alkalinity we get 0.22.

209/966 = 0.219

approximately 0.22

8 0
3 years ago
How could you put that is a mathematic form??
Vladimir [108]
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7 0
2 years ago
Need help with this problem ,please and THANK YOU :)
KiRa [710]

Answer:

A

Step-by-step explanation:

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2 years ago
Help me plz this is due rn
Sedaia [141]

Answer:

1/3

Step-by-step explanation:

7 0
2 years ago
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