Advertisements
Advertisements
प्रश्न
If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
`1/2`
+ 
– 3
Advertisements
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
APPEARS IN
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.
If the number of digits formed is taken to be n, the number of segments required to
form n digits is given by the algebraic expression appearing on the right of each pattern.
How many segments are required to form 5, 10, 100 digits of the kind −
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.
If the number of digits formed is taken to be n, the number of segments required to form n digits is given by the algebraic expression appearing on the right of each pattern.
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 | - |
Write down the following in the product form: x2y4
If 11 is subtracted from 4 times a number, the result is 89. Find the number.
The sum of three consecutive natural numbers is 114. Find the numbers.
If a number is tripled and the result is increased by 5, we get 50. Find the number.
The sum of two consecutive even numbers is 74. Find the numbers.
Mrs. Goel is 27 years older than her daughter Rekha. After 8 years she will be twice as old as Rekha. Find their present ages.
The perimeter of the triangle shown in the following figure is ______.
The two digit number whose ten’s digit is ‘t’ and units’s digit is ‘u’ is ______.
If m is a whole number, then 2 m denotes a multiple of 2.
If x is a negative integer, – x is a positive integer.
The side of an equilateral triangle is shown by l. Express the perimeter of the equilateral triangle using l.
The length of a side of square is given as 2x + 3. Which expression represents the perimeter of the square?
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
2
– `3/2`
Write an expression for the sum of 1 and twice a number n. If you let n be any odd number, will the result always be an odd number?
