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3 years ago

Simplify x^2+6x+8/x+2

Mathematics

1 answer:

Lady_Fox [76]3 years ago

3 0

Answer:

$(x + 4)$

Step-by-step explanation:

$\frac{ {x}^{2} + 6x + 8}{x + 2} \\ \frac{ {x}^{2} + 4x + 2x + 8}{x + 2} \\ \frac{ x(x + 4) + 2(x + 4) }{(x + 2)} \\ \frac{(x + 2)(x + 4)}{(x + 2)} \\ = ( x+ 4)$

Hope this helps you.

Let me know if you have any other questions :-)

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3 years ago

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Answer:

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Step-by-step explanation:

1. 2x+4=12

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3 years ago

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A line goes through the points (4, 5) and (2, -6). Write the equation of the line in point-slope

Lerok [7]

Answer:

m (slope) = $\frac{11}{2}$

Step-by-step explanation:

point-slope form: m= $\frac{y2-y1}{x2-x1}$

(4, 5) (2, -6)

x1 y1 x2 y2

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2 years ago

Adrian jogs 3/4 mile each morning how many days will take to jog 3 miles

lbvjy [14]

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Given Information
----------------------------------------------------------------
Adrian can run 3/4 mile in 1 morning.

----------------------------------------------------------------
Find how long he needs to run 1 mile
----------------------------------------------------------------
3/4 miles = 1 morning

[ Divide by 3/4 on both side ]
3/4 ÷ 3/4 miles = 1 ÷ 3/4

1 miles = 4/3 morning

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Find how long he needs to take to run 3 miles
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1 miles = 4/3 morning

[ multiply by 3 through ]
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Answer : 4 mornings
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3 years ago

Write the series using summation notation. Then find the sum of the series.

ivolga24 [154]

Hello, please consider the following.

$\displaystyle 1+2+3+...+12=\sum_{k=1}^{k=12} {k}=\dfrac{12*13}{2}=6*13=78$

For the second we will need to put on the same denominator.

$\displaystyle \dfrac{1}{2}+\dfrac{1}{4}+...+\dfrac{1}{14}=\sum_{k=1}^{k=7} {\dfrac{1}{2k}}\\\\=\dfrac{1}{2}\dfrac{420+210+140+105+84+70+60}{5*7*3*2*2}\\\\=\dfrac{1}{2}\dfrac{1089}{420}\\\\=\dfrac{1089}{840}=1.296429...$

Thank you.

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3 years ago