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2 years ago

Factor completely (X^2 + x - 6) (2x^2 + 4x) =

Mathematics

1 answer:

Vikki [24]2 years ago

8 0

Answer:

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

Step-by-step explanation:

(X^2 + x - 6) (2x^2 + 4x) =

Let's open the brackets carefully

x^2 * 2x^2 + x^2*4x + x*2x^2 + x*4x - 6*2x^2 - 24x

= 2x^4 + 4x^3 + 2x^3 + 4x^2 - 12x + 24x

= 2x^4 + 6x^3 - 8x^2 + 24x

= 2x ( 2x^3 + 3x^2 - 4x + 12)

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Which expression is eqivalent to 9a +12

koban [17]

$3(3a + 4)$

this the anwers

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3 years ago

Read 2 more answers

The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and

Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(no more than 30 minutes)

$P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)$

Calculation the value from standard normal z table, we have,

$P(x \leq 30) = 0.118 = 11.8\%$

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

3 0

2 years ago

Maria practice the piano 5/6 of an hour everyday. How many hours does she practice in 4 days

S_A_V [24]

Answer:
10/3 hours

Explanation:
If Maria practices 5/6 hours a day, then she practices (5/6)(4) hours in 4 days.

(5/6)(4)=20/6

20/6 can be simplified to 10/3 hours.

I hope this helps!

3 0

2 years ago

Autumn drives 825 miles to Florida. The trip takes her 17 hours. She uses 38 gallons of gas on the trip, which cost her $125. Fi

Dmitry [639]

$speed \: equals \: distance \div time$
speed equals 825 divided by 17
speed equals to 48.5miles per hour

gas mileage equals to 825/38
gas mileage equals to 21.7

125/38 equals to 3.3 unit price

8 0

3 years ago

A card is drawn from a deck of 52 cards. Match the correct fraction with its corresponding probability.

Molodets [167]

1. p=26/52

26/52=.5

50 percent

2. p=29/52

29/52=.56

56 percent

6 0

3 years ago