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प्रश्न
If
= 2x + 3,
= `3/2x + 7` and
= x – 3 then find the value of:
`1/2`
+
– 3![]()
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उत्तर
Given,
= 2x + 3,
= `3/2x + 7` and
= x – 3
`1/2`
+
– 3
= `1/2(3/2 xx 2 + 7) + (8 - 3) - 3(2 xx 0 + 3)`
= `1/2(10) + 5 - 3(3)`
= 5 + 5 – 9
= 1
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संबंधित प्रश्न
Observe the patterns of digits made from line segments of equal length. You will find such segmented digits on the display of electronic watches or calculators.

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How many segments are required to form 5, 10, 100 digits of the kind −

Use the given algebraic expression to complete the table of number patterns.
| S. No |
Expression |
Terms | |||||||||
| 1st | 2nd | 3rd | 4th | 5th | ... | 10th | ... | 100th | ... | ||
| 1 | 2n - 1 | 1 | 3 | 5 | 7 | 9 | - | 19 | - | - | - |
| 2 | 3n + 2 | 5 | 8 | 11 | 14 | - | - | - | - | - | - |
| 3 | 4n + 1 | 5 | 9 | 13 | 17 | - | - | - | - | - | - |
| 4 | 7n + 20 | 27 | 34 | 41 | 48 | - | - | - | - | - | - |
| 5 | n2 + 1 | 2 | 5 | 10 | 17 | - | - | - | - | 10001 | - |
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