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3 years ago

If n2 + 3 is one factor of the expression 3n3 + 2n2 + 9n + 6, what is the other factor?

Mathematics

1 answer:

Drupady [299]3 years ago

5 0

Answer:

The other factor is 3n+2

Step-by-step explanation:

The given expression is :

$3n^{3} +2n^{2} +9n+6$

Taking common factor of both pairs :

$n^{2} (3n+2)+3(3n+2)$

3n+2 is the common term :

$(n^{2} +3)(3n+2)$

The other factor is 3n+2.

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If john makes a contribution to a charity fund at school, the average contribution size will increase by 50% reaching $75 per pe

Sonja [21]

Answer:

$Z= 75*6 -250=200$

So then the correct answer is B. $200.

Step-by-step explanation:

Notation

Let X be the average contribution size before John makes his contribution.

Let Y be the total contribution size before John makes his contribution.

Let Z be John's contribution.

We know that for this case $ 75 represent the original average amount before the contribution with 50% increase so we can set up the following equation in order to find the original average amount

$1.5 X = 75$

And solvong for X we got:

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$\frac{50}{1}= \frac{Y}{5}$

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And then with the formula of average taking in count the 6 values we can find the size of donation Z like this:

$\frac{Y+Z}{6}= 75$

$\frac{250+Z}{6}= 75$

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So then the correct answer is B. $200.

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3 years ago

Sam is an apprentice carpenter whose boss asked him to construct a perfectly rectangular frame with a diagonal brace. When Sam h

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If it's a perfectly rectangle frame with W = 50 cm & L= 90 cm

So the right diagonal should be √(50² +90²) = √10600 =102.96 cm

as per the calculation the diagonal should have a length of 102.96 cm, but the boss found 100 cm, that means their should be a frame which diagonal equal to 100 cm, short by 2.96 cm, that means short by 2.96/2 = 1.48 cm from the bottom & 1.48 cm from the top (same as well as for the 2nd diagonal)
In this case the boss should be happy

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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