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zysi [14]
3 years ago
9

How does the number of zeros in the product eight and five thousand compare to the number of zeros in factors? Explain.

Mathematics
1 answer:
Flura [38]3 years ago
7 0
8X5000 is 40000. There's three zeroes in5000 and no zeroes in 8, yet there are 4 zeroes in the answer. This is because you must multiply the non-zeroes, and then add the zeroes from your factors. 8 times 5 is 40, add 3 zeroes to get 40000.
Hope this helps!
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Drag the tiles to the boxes to form correct pairs.
FrozenT [24]

Answer:

1 .4x2-9= 2x+3,2x-3

2 .16x2-1=4x-1,4x+1

3 .16x2-4=4(2x+1)(2x-1)

4 .4x2-1=(2x+1)(2x-1)

Step-by-step explanation:

16x² − 1  = (4x − 1)(4x + 1) ;  16x² − 4  = 4(2x + 1)(2x − 1); 4x² − 1  = (2x + 1)(2x − 1) ;

4x² − 9 = (2x + 3)(2x − 3)

16x² − 1  is the difference of squares.  This is because 16x² is a perfect square, as is 1.  To find the factors of the difference of squares, take the square root of each square; one factor will be the sum of these and the other will be the difference.

The square root of 16x² is 4x and the square root of 1 is 1; this gives us (4x-1)(4x+1).

16x² − 4 is also the difference of squares.  The difference of 16x² is 4x and the square root of 4 is 2; this gives us (4x-2)(4x+2).  However, we can also factor a 2 out of each of these binomials; this gives us

2(2x-1)(2)(2x+1) = 2(2)(2x-1)(2x+1) = 4(2x-1)(2x+1)

4x² − 1  is also the difference of squares.  The square root of 4x² is 2x and the square root of 1 is 1; this gives us (2x-1)(2x+1).

4x² − 9 is also the difference of squares.  The square root of 4x² is 2x and the square root of 9 is 3; this gives us (2x-3)(2x+3).

3 0
3 years ago
Heather hits a tennis ball upward with an initial speed of 32 feet per second. After how many seconds does the ball hit the grou
Mrrafil [7]
set h=0 and solve for <span>t

</span>So: 0 = 32t - 16^2

<span>32t−16<span>t2</span>=0</span><span>16t(2−t)=0</span><span><span>t=2


</span></span>
3 0
3 years ago
Read 2 more answers
Ana has been adding $30 to her saving account every month. Which model could represent the money in Ana’s saving account (y) aft
Gekata [30.6K]

Answer:

y = 30x

Step-by-step explanation:

y is the amount of money

30 is the constant, the amount of money she gets per x, month

5 0
3 years ago
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the corre
4vir4ik [10]
I hope this helps you

8 0
3 years ago
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The perimeter of a Balcony is 26 ft it is 4 ft wide how long is it?
Dmitrij [34]

Answer:

30ft

Step-by-step explanation:

if you add 26 and 4, you'll get an answer of 40

8 0
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