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pshichka [43]
3 years ago
14

Select one of the factors of x3y2 + 8xy2 + 5x2 + 40.

Mathematics
1 answer:
aniked [119]3 years ago
5 0

Answer:

Option a - xy^2+5

Step-by-step explanation:

Given : Polynomial x^3y^2+8xy^2+5x^2+40

To find : Select one of the factors of polynomial ?

Solution :

The polynomial  x^3y^2+8xy^2+5x^2+40

We factor of above polynomial by taking common terms,

xy^2(x^2+8)+5(x^2+8)

(xy^2+5)(x^2+8)

From the given options,

xy^2+5 is one of the factors of polynomial.

Therefore, option a is correct.

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2 years ago
A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?
goblinko [34]

Answer:

8 red marbles.

Step-by-step explanation:

All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.

40/5=8

You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .

If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.

1 * 8 = 8 red marbles in the bag

If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.

Example:

If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.

Easy and quick way if you do not need the explanation:

Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8

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Which binomial is a factor of x^2+7x+10
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Answer:

D

Step-by-step explanation:

(x+5)(x+2)=x^2+7x+10

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3 years ago
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