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Hatshy [7]
3 years ago
8

X=x property of equality

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:

Reflexive Property

Step-by-step explanation:

For all real numbers x , x=x . A number equals itself

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Find all values of x for which the series converges. (enter your answer using interval notation. ) [infinity] (4x)n n = 1
andreyandreev [35.5K]

The series converges to  1/(1-9x) for -1/9<x<1/9                  

Given the series is  ∑ 9x^{n} x^{n}

We have to find the values of x for which the series converges.

We know,                

∑ ar^{n-1}    converges to  (a) / (1-r) if r < 1

Otherwise the series will diverge.

Here, ∑ (9x)^{n} is a geometric series with |r| = | 9x |

And it converges for |9x| < 1

Hence, the given series gets converge for -1/9<x<1/9

And geometric series converges to a/(1-r)

Here, a = 1 and r = 9x

Therefore, a/(1-r) = 1/(1-9x)

Hence, the given series converges to   1/1-9x  for  -1/9<x<1/9

For more information about convergence of series, visit

brainly.com/question/15415793

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8 0
1 year ago
Todd is saving for a vacation. The cost of his vacation is $1,089. Todd has a year to save the money. About how much does he nee
Lilit [14]
90.75

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3 years ago
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What is the product mentally of (ab + 3)(ab - 3)
AleksAgata [21]

Answer:

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Step-by-step explanation:

Given in the question an expression

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To product mentally we will use polynomial identity called

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here a = ab

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(ab + 3)(ab - 3) = ab² - 3² = ab² - 9

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speed that she is reading= 3pages/4min

=3/4 page/min

in 30 min she can read= 3/4 page/min × 30min

= 90/4 page

= 22.5pages

4 0
3 years ago
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