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Gelneren [198K]
2 years ago
6

(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Mathematics
1 answer:
Natali5045456 [20]2 years ago
8 0

Answer:

-x^2+24x-70

Step-by-step explanation:

(x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5  - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70

Formula used =

(a-b)^2 = a^2+ 2ab + b^2

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For each random variable defined here, describe the set of possible values for the variable, and state whether the variable is d
Alona [7]

Answer:

X is a discrete random variable.

X can take values from 0 to 12:

X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]

Step-by-step explanation:

(a) X = the number of unbroken eggs in a randomly chosen standard egg carton

X is a discrete random variable.

The minimum amount of eggs broken is 0 and the maximum amount of eggs broken is 12 (assuming a dozen egg carton).

Then, X can take values from 0 to 12:

X\in[0,1,2,3,4,5,6,7,8,9,10,11,12]

About the probability ditribution nothing can be said, because there is no information about it (it can be a binomial, uniform or non-standard distribution).

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2 years ago
Factor 0.04m 2 - n 2. (0.2n - m)(0.2n + m) (0.2m - n)(0.2m - n) (0.2m - n)(0.2m + n)
Romashka [77]
-----------------
0.04m² - n²

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<span>(0.2m + n)(0.2m -  n)</span>
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Answer:

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Step-by-step explanation:

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