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Solnce55 [7]
4 years ago
11

What is the coefficient of x2 in the expansion of (x + 2)3?

Mathematics
1 answer:
wolverine [178]4 years ago
4 0
One way is that you can just factor it out: (x+2)(x+2)(x+2)
For the first pair, you get x^2+4x+4.
Then do (x^2+4x+4)*(x+2)
That will be x^3+6x^2+12x+8
So the answer is 6
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Nick's Printing Press promptly sold 5-cent pencils and 10-cent pens to the public. It sold 1000 writing utensils and took $74.50
galben [10]

Answer:

  • 490 pens
  • 510 pencils

Step-by-step explanation:

Let p represent the number of pens Nick sold. Then the revenue is ...

  0.10p +0.05(1000 -p) = 74.50

  0.05p = 24.50 . . . . . . eliminate parentheses, subtract 50

  p = 490 . . . . . . . . . . . . multiply by 20

The number of pencils sold is then ...

  pencils = 1000 -490 = 510

Nick's Printing Press sold 490 pens and 510 pencils.

4 0
3 years ago
Rewrite the expression in the form 2".<br> E
Vlad [161]

Answer:

z^ {8/5}

Step-by-step explanation:

(z^{\frac{-4}{3})^{\frac{-6}{5} } \\We\ know\ that\ a^{(b)^c} = a^{bc}\\\\Hence, \\\\{z^{\frac{-4}{3})^{\frac{-6}{5}}\\}={z^{\frac{-4}{3}*\frac{-6}{5}\\}\\=z^{\frac{24}{15}}\\=z^\frac{8}{5}

6 0
3 years ago
How many times larger is a centigram than a milligram
Sauron [17]

Answer:

centi = a unit / 100

milli = a unit / 1000

centiX = 10 milliX

8 0
3 years ago
Is 4(4a+20b) equivalent to 16a+24b
8090 [49]
No.

When you are distributing, you are multiplying to each monomial

4(4a) = 16a

4(20b) = 80b

16a + 80b is your actual answer

hope this helps
7 0
4 years ago
1. If 5x + 6 = 10, what is the value of 10x + 3?
Digiron [165]
Here the question is simple.
All because, we only need to find the value of x.
We are given two equations.
5x + 6 = 10 and 10x + 3 =?
So, we will find the the value of x in the first equation, so that we can substitute the value of x in the second one and there we are with the answer.
5x + 6 = 10
For finding the value of x, all we have to do is,
Transpose the number 6 to 10
Therefore. 5x = 10 - 6 ( Take the equal sign as The Magic Bridge on which if anyone crosses it , will change its sign.)
So we have,
5x = 4
So x = 4/5 ( Multiplication will change to division after crossing the equal sign)
( Doubtful? Substitute the value of x and try!)
Now that we got the value of x,
We can just simply substitute the value of x in the second equation.
10x + 3 = ?
x = 4/5
10*4/5 +3 => 5 and 10 get canceled to 2 at the numerator.
By normal multiplication and then addition, we will get,
8 + 3 = 11
Hope this helps!!!! :)
6 0
3 years ago
Read 2 more answers
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