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koban [17]
4 years ago
8

Simplify completely quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36 .

Mathematics
1 answer:
adoni [48]4 years ago
3 0

Answer:

  • (2x + 5)/(x - 9)
  • 3. quantity 2 x plus 5 over x minus 9

Step-by-step explanation:

Quantity 2 x squared plus 13 x plus 20 all over x squared minus 5 x minus 36

  • (2x² + 13x + 20)/(x² -5x - 36) =
  • (2x²+ 5x + 8x + 20)/(x² - 9x + 4x -36)=
  • (2x + 5)(x + 4)/(x - 9)(x + 4) =
  • (2x + 5)/(x - 9)

Correct option is option 3

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Answer:

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Step-by-step explanation:

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4 years ago
Look at the pattern below.
Paladinen [302]

There will be 36 squares in the 8th step of the pattern

<h3>How to determine the number of squares?</h3>

The pattern and the squares are represented as:

<u>Pattern   Squares</u>

1                 1

2                3

3               6

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This can be rewritten as:

<u>Pattern   Squares</u>

1                 1

2                1 + 2

3                1 + 2 +3

4                1 + 2 + 3 +4

So, the number of squares on the 8th pattern is:

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When 4 times the number x is added to 12, the result is 8. What number results when 2 times x is added to 7 ?
Bumek [7]
<h2><u>Given </u><u>:</u><u>-</u></h2>

  • <u>\bf4 \: times \: a \: number \: x \: is \: added \: to \: 12 \\ \bf the \: result \: is \: 8</u> ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎
  • \bf⟹ \: 4x + 12 = 8

\large\bf{\underline{We\:have\:to\:find:-}}

  • \bf\:The \: number \: results \: when \: 2 \: times \: x  \\ \bf is \: added  \: to \: 7
  • \bf ⟹\: 2x + 7 =  ?

\large\bf{\underline{To \:find\:the\:value\:of\:x}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x + 12 = 8

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x = 8 - 12

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹4x =  - 4

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  \frac{ - 4}{4}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎⟹x =  - 1

\large\bf{\underline{Putting\:the\:value\:of\:x\:in\:2x+7}}

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2x + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎=2( - 1) + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= - 2 + 7

‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎‎‎ ‎ ‎= 5

__________________________________________

\large\bf{\underline{Hence}}

\huge{2x + 7}

\huge{=5}

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Answer: B x = sqrt(48)

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