Advertisements
Advertisements
Question
If 
= 2x + 3, 
= `3/2x + 7` and 
= x – 3 then find the value of:
2
+ 
– 
Advertisements
Solution
Given, = 2x + 3, = `3/2x + 7` and = x – 3
2 + – = `2 xx (2 xx 6 + 3) + (3/2 xx 3 + 7) - (1 - 3)`
= `2 xx (12 + 3) + (9/2 + 7) - (-2)`
= `2 xx 15 + (23/2) + 2`
= `30 + 2 + 23/2`
= `32 + 23/2`
= `(32 xx 2 + 23)/2`
= `(64 + 23)/2`
= `87/2`
APPEARS IN
RELATED QUESTIONS
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 −
If 9 is added to a certain number, the result is 36. Find the number.
Find two numbers such that one of them is five times the other and their difference is 132.
The sum of two consecutive even numbers is 74. Find the numbers.
The perimeter of the triangle shown in the following figure is ______.
If I spend f rupees from 100 rupees, the money left with me is ______ rupees.
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 expression for the number of diagonals that we can make from one vertex of a n sided polygon is ______.
In a rectangular plot, 5 square flower beds of side (x + 2) metres each have been laid (see the figure). Find the total cost of fencing the flower beds at the cost of ₹ 50 per 100 metres:
A wire is (7x – 3) metres long. A length of (3x – 4) metres is cut for use. Now, answer the following questions:
- How much wire is left?
- If this left out wire is used for making an equilateral triangle. What is the length of each side of the triangle so formed?
The sum of first n natural numbers is given by `1/2n^2 + 1/2n`. Find the sum of first 11 natural numbers.
The sum of squares of first n natural numbers is given by `1/6n(n + 1)(2n + 1)` or `1/6(2n^3 + 3n^2 + n)`. Find the sum of squares of the first 10 natural numbers.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 10.
The sum of the multiplication table of natural number ‘n’ is given by 55 × n. Find the sum of table of 19.
If 
= `3/4x - 2` and 
= x + 6, then find the value of:
2
– `3/2`
