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3 years ago

Factor the trinomial 3x ^ 2 + 8x + 4

Mathematics

1 answer:

zvonat [6]3 years ago

5 0

Answer:

(3x+2) (x+2)

Step-by-step explanation:

For a polynomial of the form ax^2 + bx + c and rewrite the middle term as a sum of two terms whose product is a ⋅ c = 3 ⋅ 4 = 12 and whose sum is b = 8

Factor 8 out of 8x

3x^2 + 8 (x) + 4

Rewrite 8 as 2 plus 6

3x^2 + (2+6) x + 4

Apply the distributive property

3x^2 + 2x + 6x +4

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(3x^2 + 2x) + 6x + 4

Factor out the greatest common factor (GCF) from each group.

x(3x+2) + 2(3x+2)

Factor the polynomial by factoring out the greatest common factor,

3x + 2.

Answer: (3x+2) (x+2)

Hope that helps! :)

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A grocery store clerk put only cans of tomato soup and cans of chicken soup on a shelf. The ratio of the number of cans of chick

larisa [96]

Answer:

9 cans of tomato soup

Step-by-step explanation:

We are told that only cans of tomato soup and cans of chicken soup are put on the shelf.

Now, we are told that the ratio of the number of cans of chicken noodle soup to the total number of cans on the shelf was 8 to 17.

In fraction, this is 8/17

Now, this implies that there are 8 cans of chicken noodle soup while there are a total of 17 cans on the shelf.

Thus,

Since only cans of chicken noodles and cans of tomato soup are on the shelf, it means;

Cans of tomato soup = 17 - 8 = 9

8 0

3 years ago

If 31,000 citizens died in an automobile accidents in 2015. how many died each hour

stira [4]

Work out the number of hours in 1 year:-

1 year = 365*24 = 8760

So the number dying each hour = 31,000 / 8760 = 3.54

6 0

3 years ago

Read 2 more answers

On an average day, 105 books are published in the United States. About how many books would be published in the month of Februar

zvonat [6]

About 3,000 books because 105 * 28 = 2940
and 2940 rounded to the nearest thousand is 3000. Hope this helps.

3 0

3 years ago

Read 2 more answers

Root 8-3 root 32 + 4 root 50

Bess [88]

Answer:

$10\sqrt{2}$

Step-by-step explanation:

$\sqrt{8} -3\sqrt{32} +4\sqrt{50}$

We can try to simplify first.

$2\sqrt{2}-12\sqrt{2} +20\sqrt{2}$

Now we can combine the like terms:

$= 10\sqrt{2}$

hope this helped! :)

3 0

1 year ago

please help me A portion of Taquan's check register is shown. Before Taquan made his utility payment on March 24, the balance of

Natalka [10]

The check register is used to show the total amount Taquan spent

Using the assumed values, Taquan's initial balance is $1336.26

<h3>How to determine the amount before making the utility payment?</h3>

The question is incomplete, as the check register is not shown.

So, I will give a general explanation

Assume that the utility bill is $241.46

From the question, the new balance on March 24 is $1094.80

This means that the initial balance is:

Initial balance = New balance + Utility bill

This gives

Initial balance = $1094.80 + $241.46

Evaluate the sum

Initial balance = $1336.26

Using the assumed values, Taquan's initial balance is $1336.26