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3 years ago

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Which is an equation of the line passing

1 answer:

tia_tia [17]3 years ago

3 0

$\bf (\stackrel{x_1}{10}~,~\stackrel{y_1}{8})~\hspace{10em} slope = m\implies \cfrac{2}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-8=\cfrac{2}{5}(x-10) \\\\\\ y-8=\cfrac{2}{5}x-4\implies y=\cfrac{2}{5}x+4$

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A recursive rule for an arithmetic sequence is a1=4;an=an−1−3 . What is the explicit rule for this sequence? Enter your answer i

Westkost [7]

Answer:

The explicit rule for the arithmetic sequence is given by:

$a_n = a_1+(n-1)d$ ......[1]

where,

$a_1$ is the first term

n is the number of terms and

d is the common difference for two consecutive terms.

As per the statement:

A recursive rule for an arithmetic sequence is:

$a_1 = 4$

$a_n = a_{n-1}-3$

The recursive formula for the arithmetic sequence is given by:

$a_n = a_{n-1}+d$

then;

On comparing we get;

d = -3

Substitute the given values in [1] we have;

$a_n = 4+(n-1)(-3)$

⇒ $a_n = 4 -3n+3 = 7-3n$

Therefore, the explicit rule for this sequence is, $a_n = 7 -3n$

5 0

3 years ago

The velocity of an object in meters per second varies directly with time in seconds since the object was dropped, as represented

SpyIntel [72]

The answer is 9.8 m/s2

4 0

3 years ago

Read 2 more answers

Can I get some help please?

sergij07 [2.7K]

The answer is the furthest to the right.

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4 years ago

Use the ratio test to determine whether the series is convergent or divergent.

Kitty [74]

Answer:

Divergent

Step-by-step explanation:

Given series has general term as

$\frac{2^n}{n^2}$

n+1 th term = $\frac{2^(n+1)}{(n+1)^2}$

WE have to check whether this series converges or diverges

Let us use ratio test

Ratio of n+1 th term to nth term

= $\frac{2n^2}{(n+1)^2} =\frac{2}{(1+\frac{1}{n} }^2$

by dividing numerator and denominator by n square

Take limits as n tends to infinity

The ratio tends to 2

Since ratio >2, the series diverges

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4 years ago

Read 2 more answers

A rectangle has vertices (−5, 6), (−1, 6), (−1, 3), and (−5, 3). It is first dilated by the rule (x, y)→(7x, 7y) and then transl

zhenek [66]

I think the answer is c

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3 years ago