if you know the roots then you can find their equation-

x^2 - (sum of roots) x + product of roots = 0

2x + 3 > 7

2x > 7 - 3

2x > 4

Dividing by 2 on both sides

since 2 is a positive number so dividing by 2 on both sides will not change the inequality sign.

x > 2

hence, numbers greater than 2 are the solution of this eqn

Probability = No. Of favorable ways / Total ways

where , 

  Total ways  =  no. Of favorable ways + no. Of non-favorable  ways

                  even no. + even no. = even no.

      … Read more

Mean = sum of all values / no. Of values

I am also considering mean Anita's Age in Calculating Mean.

Let the age of Anita and others is a, b, c, d,e,f  respectively !

Now Mean of their age =(a + b + c + d + e + f) / 6 = 6 years

from here ,,    … Read more

Distance = Average speed x Total time

360 = 60 x t

t = 6 Hrs

true.

2 Line equations will have a unique solution if and only if they intersect each other at a particular point ( x, y ). If Lines are parallel, then they'll never intersect and hence we can not find any solution.

if we consider two parallel Lines of equations,say-

2x + 3y = 7 ,  2x + … Read more

Who knows what will happen in future ? It is just start of 20th century. Some people consider this century as no-war century while some don't.

we can not stop wars completely. Those who live in peaceful regions usually don't believe that there can be a big war in present time in any part of … Read more

i found a logical solution..

if we factorize 27 as product of 3 positive integers we get, 

27 = 3 x 3 x 3  or  = 1 x 3 x 9  or  = 1 x 1 x 27            that is it !

calculating a+b+c , we get 9 , 13 , … Read more

if the Light source remains still, then  ratio of obj. Height to shadow length  must be always same

                    let the unknown shadow length is 'L '

                                  6.6/ 19.8 = 14.7 … Read more

perimeter of triangle = sum of length of all 3 sides = a+b+c

y-axis means x=0   (always)

x-axis means y=0   (always)

when line intersect y axis, then x = 0

5x + 3y =15

0 + 3y =15  ( x = 0)

3y= 15

y = 5

hence   point  (x,y) = (0,5)   b is correct

if you don't remember the formula

you can also solve like this-

let eqn is            y= mx+c    (which passes through  (4,-1) and (-2,3) )

First (4,-1) should satisfy this equation,

                            -1 = 4m+c          … Read more

Obviously 6/9 (2/3) is bigger than 4/9.