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fgiga [73]
4 years ago
9

18. [Algebra - Expansion] Expand 3(x + 2)

Mathematics
2 answers:
stepan [7]4 years ago
7 0
First you you distribute the 3 (3 times x and 3 times 2)
3x+6
Then divide 3x on both sides (3x divided by 3x and 6)
Your answer should be x=2
alexira [117]4 years ago
4 0

Answer:

Step-by-step explanation:

3(x + 2) = 3*x + 3*2

= 3x + 6

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Tim is playing a game. His score in round 1 is 1.7 points, in round 2 is 5.1 points, in round 3 is 15.3 points, and it continues
tatiyna

The recursive definition for the geometric sequence is given as follows:

a_n = 3a_{n-1}, a_1 = 1.7

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

a_n = a_1q^{n-1}

In which a_1 is the first term.

The recursive definition of a geometric sequence is given by:

a_n = qa_{n-1}

In this problem, we have that the first term and the common ratio are given, respectively, by:

a_1 = 1.7, q = \frac{15.3}{5.1} = \frac{5.1}{1.7} = 3.

Hence the recursive definition is given by:

a_n = 3a_{n-1}, a_1 = 1.7

More can be learned about geometric sequences at brainly.com/question/11847927

#SPJ1

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2 years ago
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AfilCa [17]

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Roxanne

Roxanne

All she wanna do is party all night

Step-by-step explanation:

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Answer:

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A 2/3=8/2. B. 4/9=8/9 c 3/4&gt;9/10 d 2/4&gt;2/3 which comparison is true
vladimir2022 [97]

The given comparisons are not true in all of the options provided.

<u>Step-by-step explanation:</u>

The given comparisons are in the form of fractions.

Check each of the given options one by one based on the relation given for the comparison.

Option a) is 2/3 = 8/2. Here, you have to check that the given fractions are equal or not. If both the values are equal, then the comparison is true. If they are not equal, then the comparison is false.

By dividing 2 by 3, we get a value of 0.666

By dividing 8 by 2, we get a value of 4.

Therefore, 0.666 ≠ 4. The comparison is false.

Option b) is 4/9 = 8/9. Here, you have to check that the given fractions are equal or not.

Look into the given comparison, the fractions have same denominator of 9.

In such cases, if the denominator is same and the numerator value is different, then they are not equal.

Therefore, 4/9 ≠ 8/9. The comparison is false.

Option c) is 3/4 > 9/10. Here, you have to check whether 3/4 is greater than 9/10.

By dividing 3 by 4, we get a value of 0.75

By dividing 9 by 10, we get a value of 0.9

Therefore, 0.75 is not greater than 0.9. The comparison is false.

Option d) is 2/4 > 2/3. Here, you have to check whether 2/4 is greater than 2/3.

By dividing 2 by 4, we get a value of 0.5

By dividing 2 by 3, we get a value of 0.666

Therefore, 0.5 is not greater than 0.666. The comparison is false.

6 0
3 years ago
Problem: Suppose that on-the-job injuries in textile mill occur at the rate of 0.1 per day. What is the probability that two acc
sertanlavr [38]

Answer: the probability that two accidents will occur during the (five-day) work week is 0.0758

Step-by-step explanation:

Given that;

injuries in textile mill occur at the rate of 0.1 per day; λ = 0.1

probability that two accidents will occur during the (five-day) work week = ?

T= 5

so, the average number of on the job injuries for five days will be;

λT = 0.1 × 5

= 0.5

now if X follows Poisson distribution, hemce

P( X=k ) = [e^-λT (λT)^k] / k!

so the probability that two (2) accidents will occur during the (five-day) work week will be;

P( X=k ) = [e^-0.5 (0.5)²] / 2!

= (0.6065 × 0.25) / 2

= 0.1516/ 2

= 0.0758

the probability that two accidents will occur during the (five-day) work week is 0.0758

3 0
3 years ago
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