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vaieri [72.5K]
3 years ago
9

Determine any data values that are missing from the table, assuming that the data represent a linear function.

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

c. 14

Step-by-step explanation:

Let the missing y value be y2.

If the data represent a linear function, then:

\frac{6 - 2}{2 - 1} = \frac{y_2 - 6}{4 - 2}

\frac{4}{1} = \frac{y_2 - 6}{2}

4 = \frac{y_2 - 6}{2}

Multiply both sides by 2

4 \times 2 = \frac{y_2 - 6}{2} \times 2

8 = y_2 - 6

Add 6 to both sides

8 + 6 = y_2 - 6 + 6

14 = y_2

The missing value is 14

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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)


\Rightarrow 17=a_1-\frac{84}{5}


\Rightarrow 17+\frac{84}{5}=a_1


\Rightarrow a_1=\frac{169}{5}


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}


\Rightarrow S_{31}=71.3


The correct answer is D















8 0
3 years ago
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Maria is making a scale drawing of her basement, which is 12 yards long. if she let's 1/2 inch represent 1 yard how many inches
andrezito [222]

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answer:

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