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jeka57 [31]
3 years ago
12

Please help! Simplify the rational expression. State any restrictions on the variable.

Mathematics
1 answer:
alukav5142 [94]3 years ago
6 0

Step-by-step explanation:

t^2-4xt-12/t-8

= -(t^2-4-6)/4

= -t^2+4+6/4

=<u> -t^2+6</u>


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The binomial 5x – 4 is a factor of 10x2 – 23x + 12. What is the other factor?
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Method\ 1^o\\10x^2-23x+12=(5x-4)(ax+b)\\\\10x^2-23x+12=5ax^2+5bx-4ax-4b\\\\10x^2-23x+12=5ax^2+(5b-4a)x-4b\\\\therefore\\\\  \begin{array}{ccc}(1)\\(2)\\(3)\end{array}\left\{\begin{array}{ccc}5a=10\\5b-4a=-23\\-4b=12\end{array}\right\\\\(1)\ divide\ both\ sides\ by\ 5\to a=2\\(3)\ divide\ both\ sides\ by\ (-4)\to b=-3\\check\\subtitute\ the\ values\ of\ "a"\ and\ "b"\ to\ (2):\\5\cdot(-3)-4\cdot2=-15-8=-23\ /correct/\\\\Answer:\boxed{2x-3}


Method\ 2^o\\10x^2-23x+12=10x^2-8x-15x+12\\=2x\cdot5x-2x\cdot4-3\cdot5x-3\cdot(-4)\\=2x(5x-4)-3(5x-4)=(5x-4)\boxed{(2x-3)}
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2 years ago
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3 years ago
The table shows that the ratio of boys to girls at Midtown Middle School is 3 to 4.
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The sum of the measures of the external angles of any polygon is
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2 years ago
Replace ? with =, &gt;, or &lt; to make the statement true. 12 ÷ 4 + 13 ? 2 + 22 ÷ 2
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Answer:

>

Step-by-step explanation:

On the left side, we divide first: 12/4=3

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On the right side, we also divide first: 22/2=11

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We know that 16 is larger than 13, so  

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3 years ago
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