3 years ago

What is the equation of the graph shown?

Mathematics

1 answer:

WITCHER [35]3 years ago

3 0

Answer:

Please take a photograph of the graph.

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What is another way to write the expression t⋅(14−5) ?

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t⋅(14−5)

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14t -5t

Choice A

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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

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A train leaves a train station at 1 p.m. it travels at an average rate of 60 mi/hr. a high-speed train leaves the same station a

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The second train will catch up with the first train in 1.6 hours

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The sum of 3 consecutive integers is 171. what is the first number in this sequence?

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in 2012 in costed $0.55 per mile to drive a sedan. How much would it cost if you drove it 13,000 miles

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Step-by-step explanation:

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