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2 years ago

For the function , what is the maximum value?

Mathematics

1 answer:

andreev551 [17]2 years ago

3 0

Answer:

The maximum value of a function is the place where a function reaches its highest point, or vertex, on a graph.

I hope it helps.

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What is the sum of the infinite geometric series 9−6+4−83+...9-6+4-83+...??

vivado [14]

Successive terms have a common factor of $-\dfrac23$ , which means the $n$ th partial sum of the series can be written as

$S_n=9-6+4-\dfrac83+\cdots+9\left(-\dfrac23\right)^{n-1}$
$S_n=9\left(1+\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\cdots+\left(-\dfrac23\right)^{n-1}$

$\implies-\dfrac23S_n=9\left(\left(-\dfrac23\right)^1+\left(-\dfrac23\right)^2+\left(-\dfrac23\right)^3+\left(-\dfrac23\right)^4+\cdots+\left(-\dfrac23\right)^n\right)$

$\implies S_n-\left(-\dfrac23\right)S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$\dfrac53S_n=9\left(1-\left(-\dfrac23\right)^n\right)$
$S_n=\dfrac{27}5\left(1-\left(-\dfrac23\right)^n\right)$

As $n\to\infty$ , the geometric term vanishes, leaving you with

$S=\displaystyle\lim_{n\to\infty}S_n=\dfrac{27}5$

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2 years ago

8x=3(x+1)+2 What’s x?

Maksim231197 [3]

Answer:

8x=3(x+1)+2 : x =1

Step-by-step explanation:

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Je Suis un garçon tres beau. Envoyer moi un textos

dedylja [7]

Did you just say that you are a beautiful boy and that we should send you a message? WHAT?!!!!??

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2 years ago

Which symbol creates a true sentence when x equals 3? =, <, >

Zina [86]

Answer:

= is your answer

Step-by-step explanation:

Note the name of the symbols.

"<" means less than

">" means greater than

"=" means equal

"≤" means less than or equal to

"≥" means greater than or equal to

When x equals 3, it means x = 3

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Kelsey had $65 to spend on books. Each book cost $5.50, and there was a $7.50 fee for shipping. She let b equal the number of bo

larisa86 [58]

Kelsey must spend less than or equal to $65.
The expression 5.50b+7.5 is correct
Kelsey able to purchase 10 books.
On the end Kelsey can spend $2.50 to purchase small present (calendar or book for notes)

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