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3 years ago

12. 1/2(4x — 2) – 2/3(6x + 9) <4

Mathematics

2 answers:

Ray Of Light [21]3 years ago

8 0

Answer:

x>-11/2

I'm sorry, I did this all on paper and I don't really want to type it out. Please understand.

Hope this helps a little bit, though.

RSB [31]3 years ago

5 0

Answer: x > -11/2

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Step-by-step explanation:

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3 years ago

Calculate the arithmetic sequence in which a9=17 and the common difference is d=-2.1

jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

$\Rightarrow 17=a_1+(8)\times(-2.1)$

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The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(\frac{23}{5})$

$\Rightarrow S_{31}=\frac{713}{10}$

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The correct answer is D

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3 years ago

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OLga [1]

Answer:

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Step-by-step explanation:

The sum of the angles inside a triangle is always 180. The missing angle in the triangle must then be 180 -74 -47 = 59 degrees. The angles on a straight line add up to 180 degrees so x + 59 = 180. x = 180-59 = 121

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3 years ago

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