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DENIUS [597]
3 years ago
5

What is the simplified form of this?

Mathematics
1 answer:
katrin [286]3 years ago
7 0
(2x^2-4x-3)(3x+1)
Expand
<span><span>(<span><span><span>2<span>x^2</span></span>+<span>−<span>4x</span></span></span>+<span>−3</span></span>)</span><span>(<span><span>3x</span>+1</span><span>)
Cross multiply
</span></span></span><span><span><span><span><span><span><span><span>(<span>2<span>x2</span></span>)</span><span>(<span>3x</span>)</span></span>+<span><span>(<span>2<span>x^2</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−<span>4x</span></span>)</span><span>(1)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(<span>3x</span>)</span></span></span>+<span><span>(<span>−3</span>)</span><span>(1)
Simplify</span></span></span></span><span><span><span><span><span><span><span>6<span>x^3</span></span>+<span>2<span>x^2</span></span></span>−<span>12<span>x^2</span></span></span>−<span>4x</span></span>−<span>9x</span></span>−3
Simplify</span></span><span><span><span><span><span>6<span>x^3</span></span>−<span>10<span>x^2</span></span></span>−<span>13x</span></span>−3 is your answer</span></span>

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Step-by-step explanation:

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A user’s password to access a computer system consists of 3 letters followed by 2 digits. How many different passwords are possi
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Answer:

26*26*26 = 17576 ways to select 3 letters

10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

Step-by-step explanation:

For this case we assume that we have 26 letters from A to Z and 10 numbers from 0 to 9 .

And we want to calculate the number of possible passwords possible if the password consists of 3 letters followed by 2 digits.

And for this case we can use the multiplication principle of combinatories, since we don't have any restriction about the letters of the numbers we can have repetition of letters or numbers.

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10*10= 100 ways to select 2 numbers

So then the total number of ways are:

26^3 *10^2 = 1757600 possible ways

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3 years ago
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Every 24 hours, the earth rotates 360° about its axis. How
Usimov [2.4K]

360 degrees / 24 hours = 15 degrees per hour


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105 is the product of 15 and 7.
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How do you solve -3(4x+3)+4(6x+1)=43 ?
Anastaziya [24]

Answer:

x = 4

Step-by-step explanation:

Solution:

-3(4x + 3) + 4(6x + 1) = 43

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12x = 43 + 5

12x = 48

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Therefore, x = 4

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