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oee [108]
2 years ago
6

How do you factor: 5x^3+30x^2+45x (please show steps)

Mathematics
2 answers:
zheka24 [161]2 years ago
7 0

Answer:

<u>5x³ + 30x² + 45x = 5x (x+3)²</u>

Step-by-step explanation:

Given: 5x³ + 30x² + 45x

Take 5x as a common

5x³ + 30x² + 45x

= 5x ( x² + 6x + 9) ⇒ Factor ( x² + 6x + 9)

= 5x (x+3) (x+3)

= <u>5x (x+3)²</u>

Natasha2012 [34]2 years ago
3 0

Answer:

Idk

Step-by-step explanation:idk

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The statement "The square of any rational number is rational" can be rewritten formally as "For all rational numbers x, x 2 is r
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Answer:

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d.

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e.

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3 0
2 years ago
The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = y minus 1 equals StartFract
Zina [86]

Answer:

The equation of the line in standard form is

x-4y=8

Step-by-step explanation:

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8 0
2 years ago
Read 2 more answers
Louden County Wildlife Conservancy counts butterflies each year. Data over the last three years regarding four types of butterfl
MrRa [10]

Incomple question. However, here's the remaining part of the question:

14

2009

Meadow Fritillary= 5

Variegated Fritillary= 7

Zebra Swallowtail= 33

Eastern-Tailed Blue= 242

Louden County Butterfly Count

2010

Meadow Fritillary 34

Variegated Fritillary 95

Zebra Swallowtail 21

Eastern-Tailed Blue 168

2011

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Variegated Fritillary

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Eastern-Tailed Blue

10

170

<u>Options</u>:

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D)The Meadow Fritillary is equally common as the Variegated Fritillary

Answer:

<u>C</u>

Step-by-step explanation:

Looking through the above count data by Louden County Wildlife Conservancy from 2009 to 2011 we notice the Eastern- Trailed Blue butterfly has a higher count, which implies that the Eastern-Tailed Blue butterfly is more common than the other butterflies.

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5 0
2 years ago
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In-s [12.5K]

Answer:

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Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Let X the random variable that represent interest on this case, and for this case we know the distribution for X is given by:

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Solution to the problem

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P(13.5

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And we can find this probability on this way:

P(-3

And in order to find these probabilities we can find tables for the normal standard distribution, excel or a calculator.  

P(-3

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2 years ago
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Nataly [62]

Answer: 1.8%

Step-by-step explanation:

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2 years ago
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