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sattari [20]
3 years ago
7

Simplify each radical expression. sqrt 7 ( sqrt 14 + sqrt 3 )

Mathematics
1 answer:
defon3 years ago
5 0

sqrt 7 ( sqrt 14 + sqrt 3 )

distribute

sqrt(7) sqrt(14) +sqrt(7) *sqrt(3)

sqrt(98) + sqrt(21)

sqrt(49*2) + sqrt(21)

sqrt(49) * sqrt(2) + sqrt(21)

7sqrt(2) + sqrt(21)

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Hey can you please help me posted picture of question:)
polet [3.4K]
The given trinomial can be factored using the factorization method.
x² - 2x - 24
The middle term should be written is such a way that the sum of two terms is equal to the middle one and their product should be equal to the product of first and third term. So the above expression can be written as
= x² -6x + 4x - 24
= x(x-6) + 4(x-6)
= (x-6)(x+4)
Thus, (x-6)(x+4) is the factored form of the polynomial.
So the correct answer is option B
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Step-by-step explanation:

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A particular brand of gasoline has a density of 0.737 g/ml at 25 ∘c. how many grams of this gasoline would fill a 13.4 gal tank
ruslelena [56]

Given, the density of a particular brand of gasoline = 0.737 g/ml.

13.4 gallon of tank given. We have to find the mass of gasoline to fill the tank.

First we will convert 13.4 gallon to ml.

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And 1 litre = 1000 ml

So we can write 1 gallon = (3.78541)(1000) ml = 3785.41 ml.

13.4 gallon = (3785.41)(13.4) ml = 50724.494 ml.

Let's take there is x grams of gasoline

We know that density = (mass/ volume) = \frac{x}{50724.494}

So we can write,

0.737 =\frac{x}{50724.494}

To find x we will multiply both sides by 50724.494. we will get,

(0.737)(50724.494) =(\frac{x}{50724.494}) (50724.494)

(0.737)(50724.494) = x

37383.95 = x

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Mass of gasoline = 37383.95 grams.

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Joe earns double his regular hourly wage on holidays.
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Answer:

$10.25

Step-by-step explanation:

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