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Bezzdna [24]
3 years ago
10

Find the domain of the function:

Mathematics
2 answers:
makkiz [27]3 years ago
8 0

Answer: OPTION C.

Step-by-step explanation:

1. The domain of the function given in the problem are all those values for which the function that is in the denomiantor is different from zero, because the division by 0 is not allowed.

2. You can make the denominator equal to zero and solve it, as you can see below:

x^{3}-2x^{2}+x=0\\x(x^{2}-2x+1)=0\\x(x-1)(x-1)=0\\x=0\\x=1

3. Therefore, the domain is:

(-∞,0)U(0,1)U(1,∞)

ANEK [815]3 years ago
3 0

Answer:

Option C is correct.

Step-by-step explanation:

We have given the function.

f(x) = (x-1)²/(x³-2x²+x)

We have to find the domain of given function.

domain of function is all possible values of independent variable for which the function is difined.

So for this the denominator must not be zero.

x³-2x²+x ≠ 0

x(x²-2x+1)≠ 0

x(x-1)(x-1) ≠ 0

x ≠0 and x≠1

So, the domain cannot consist of x=0 and x=1.  

Therefore, the domain is :

(-∞ , 0) ∪ (0,1 ) ∪ (1,+∞).

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Answer:

Step-by-step explanation:

The total number of apples produced at the apple harvest is 2,350kg.

1 kg = 1000 grams. Therefore,

2350 kg = 2350 × 1000 = 2350000kg

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36 × 250 = 9000 grams

Therefore, the number of boxes that are needed to pack the apples would be

2350000/9000 = 261.11

It means that 262 boxes would be needed.

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3 years ago
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How to change base of logarithms: Best answer gets 27 points and brainliest answer
AlekseyPX

Answer:

1/3

Step-by-step explanation:

 To change from one base to another, we use the formula

Logb x = Loga x/Loga b

log1/9  (3^(1/3) /3)


log3 ((3^(1/3) /3))

-------------------------

log3 (1/9)


Log a /b = log a - log b

and 1/9 = 3^-2

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6 0
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A submarine descends at a rate of 2.6 kilometers per hour. If the ocean floor is 6.24 kilometers below sea level, how long will
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Answer

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To proof

Formula

r = \frac{d}{t}

where  d  =  distance traveled (or descended),

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As given

A submarine descends at a rate of 2.6 kilometers per hour. If the ocean floor is 6.24 kilometers below sea level .

put all the values in the above formula

2.6 = \frac{6.24}{t}

t = \frac{6.24}{2.6}

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8 0
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Solve the equation. 9-(-2)
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