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3 years ago

Factor the four term polynomial by grouping.10x^3-15x^2+6x-9

Mathematics

1 answer:

goldfiish [28.3K]3 years ago

5 0

Answer:

(5x² + 3) (2x-3)

Step-by-step explanation:

10x³ - 15x² + 6x - 9 (rearrange)

10x³+ 6x - 15x² - 9 (group using parentheses)

(10x³+ 6x) - (15x² + 9) (factor out 2x from first term and 3 from second term)

2x (5x²+ 3) - 3(5x² + 3) (factor out (5x²+3) )

(5x² + 3) (2x-3) (answer)

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Two processes in a manufacturing line are performed manually: operation A and operation B. A random sample of 50 different assem

MArishka [77]

Answer:

3.06

Step-by-step explanation:

The correct answer is - 3.06

Reason -

For sample A :

mean, $\bar{x_{1} }$ = 8.05

Standard deviation, $\sigma_{1}$ = 1.36

Size, $n_{1}$ = 50

For sample B :

mean, $\bar{x_{2} }$ = 7.26

Standard deviation, $\sigma_{2}$ = 1.06

Size, $n_{2}$ = 38

Now,

$\bar{x_{1} }$ - $\bar{x_{2} }$ = 8.05 - 7.26 = 0.79

Standard deviation error, SE = √( $\sigma_{1}$ ²/ $n_{1}$ + $\sigma_{2}$ ²/ $n_{2}$ ) = 0.2580

Now,

Z-statistic = ( $\bar{x_{1} }$ - $\bar{x_{2} }$ )/ SE

= 0.79/0.2580

= 3.06

⇒Z-statistic = 3.06

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2 years ago

What are all of the perfect cubes between 100 and 600

AlexFokin [52]

5³ = 125
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2 years ago

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Blizzard [7]

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Step-by-step explanation:

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2 years ago

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Anon25 [30]

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2 years ago

What is the predicted difference in sleep between individuals A and B, where individual A has 12 years of education and works 20

kari74 [83]

Answer: The predicted difference in sleep is 1251437 minutes.

Step-by-step explanation:

Since we have given that

Number of years of education = 12 years

Number of minutes a week = 2000

As we have

In case of individual A:

7 days = 2000 minutes

1 year = 365 days = $\dfrac{2000}{7}\times 365=104285$

12 years = $104285\times 12=1251420\ minutes$

In case of individual B:

7 days = 3000 minutes

1 year = 365 days = $\dfrac{3000}{7}\times 365=156428$

16 years = $156428\times 16=2502857$ minutes

So, the predicted difference in sleep between individuals A and B is given by

$2502857-1251420\\\\=1251437\ minutes$

Hence, the predicted difference in sleep is 1251437 minutes.

7 0

2 years ago

Factor the four term polynomial by grouping.10x^3-15x^2+6x-9​

Factor the four term polynomial by grouping.10x^3-15x^2+6x-9