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yaroslaw [1]
3 years ago
6

Factor trinomial x^2n+10x^n+16​

Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

\large\boxed{x^{2n}+10x^n+16=(x^n+2)(x^n+8)}

Step-by-step explanation:

\text{Use}\ (a^n)^m=a^{nm}.\\\\x^{2n}+10x^n+16=(x^n)^2+10x^n+16=x^n\cdot x^n+2x^n+8x^n+16\\\\=x^n(x^n+2)+8(x^n+2)=(x^n+2)(x^n+8)

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Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
iogann1982 [59]

Answer:

None of these choices are correct.

Step-by-step explanation:

If a bond is quoted at 99.875, it means that it is sold at 99.875%  of the face value;

Face value = 1000

Therefore, Price = 0.99875 * 1000

Price = $998.75

If Leona pays  5.5% of the selling price, it means that she is paying additional cost which will make the total cost more than the quoted price;

5.5% of 998.75 is;

0.055*998.75 = $54.93

The total cost = $998.75 +$54.93

= $1053.68

Therefore, none of the given choices is correct.

4 0
3 years ago
Read 2 more answers
LaToya had a large collection of basketball cards. She decided to give half of them to her friends, Aaron, and a fourth of them
Savatey [412]
1-1/2-1/4=1/4  If 75 is 1/4, then just divide to get the whole thing.  75/1/4=200
She had two hundred cards to start with.  Hope this helps!!!
5 0
3 years ago
Describe pattern below. 8,12,16,20,24,28
otez555 [7]

Answer: Goes up by 4s

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
the difference between two number is 642 . when the greater is divided by smaller the quotient is 8 and the remainder is 19,then
pentagon [3]

Answer:

Step-by-step explanation:

GIven that , 

Dividend is greater than Divisor by 642.

Therfore , let,

                    

                    Dividend = x + 642.

                    Divisor = x

                    Quotient = 8

                    Remainder = 19.

We know that, Dividend = Divisor × Quotient + Remainder.

Therefore, x+642 + X.8 + 19.

X + 642 = 8X + 19.

642 - 19 = 8X - X

7X = 623

X = 623/7

X = 89.

Therefore, Divisor = 89

                Dividend = X+642=731.

6 0
4 years ago
John had a roll containing 24 2/3 feet of wrapping paper. He wants to divide it into 11 pieces. First, though, he must cut off 5
tatyana61 [14]

Given

John had a roll containing of wrapping paper  

=24\tfrac{2}{3}

First, he must cut off 5/6 foot because it was torn.

He wants to divide it into 11 pieces.

To proof

As given in question

John had a roll containing of wrapping paper

=24\tfrac{2}{3}

=\frac{74}{3}    ( solving the mixed fraction form)

 First, though, he must cut off 5/6 foot

than we get

= \frac{74}{3} - \frac{5}{6}

Taking the L.C.M of 3 and 6 is 6

=\frac{148-5}{6}

=\frac{143}{6}

=23.83 feet (approx)

He wants to divide it into 11 piece

length of the each piece

=\frac{23.83}{11}

length of the each pieces be 2.16 feet ( approx)

Hence proved




6 0
4 years ago
Read 2 more answers
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