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kondaur [170]
4 years ago
5

Factor completely: 2x3 + 14x2 + 6x + 42

Mathematics
2 answers:
ella [17]4 years ago
8 0

Answer:

2\cdot{(x+1)\cdot{(x^2+3)}

Step-by-step explanation:

We can take out 2 to as this is common in each term:

2\cdot{x^3}+14\cdot{x^2}+6\cdot{x}+42

2\cdot{(x^3+7\cdot{x^2}+3\cdot{x}+21)}

We can see that the use factors of 21 which are 1, 3, 7 and 21 (all ± values). We can use -7 and the coefficients of the simplified expression to determine if one of the values is zero when -7 is multiplied and added to the coefficients:

-7] 1  7   3   21

Bring down 1

-7] 1  7   3   21

____-7_ 0_-21____

    1  0   3    0

We can see that the factor of -7 yields two zeros, but the final answer is zero and therefore we can use 7 factor and the answers it yielded:

We can simplify the expression using 1, 0 and 3.

2\cdot{(x+7)\cdot{(x^2+0\cdot{x}+3)}

2\cdot{(x+7)\cdot{(x^2+3)}

SOVA2 [1]4 years ago
7 0
To factor all you do is...
Factor <span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span><span><span><span>2<span>x3</span></span>+<span>14<span>x2</span></span></span>+<span>6x</span></span>+42</span><span>=<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span>)</span></span></span>Answer:<span><span>2<span>(<span>x+7</span>)</span></span><span>(<span><span>x2</span>+3</span><span>)</span></span></span>
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Answer:

  25.968

Step-by-step explanation:

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Listed below are amounts (in millions of dollars) collected from parking meters by a security company in a certain city. A large
irina1246 [14]

Answer:

The correct options are;

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B) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees

Step-by-step explanation:

We use the acronym SC for the security company and OC for the other company

SC OC

1.6 1.5

1.8 2.1

1.6 1.9

1.8 2.2

1.7 1.9

1.2 1.7

1.1 2.1

1.2 2.2

1.2 2.2

1.5 1.8

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The mean is given by  ∑x/n

n = 10

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∴ Mean 1.47      1.96

The median is the \frac{n + 1}{n} th  \ term

Hence

               SC         OC

Median 1.55         2

Therefore, the mean and median for the security company are both lower than the mean and the median for the collections performed by other companies.

b) Since the security company appear to have collected lower revenue than other companies, there is some evidence of stealing by the security company's employees.

8 0
3 years ago
The number 6 is 30% of what number
alexandr402 [8]
6 and 3000 is the answer for ur question would be 3000
8 0
3 years ago
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