If three times a number added to 4 is divided by the number plus 4, the result is eight thirds. find the number

If three times a number added to 4 is divided by the number plus 4, the result is eight thirds, then the number is 20

Given that three times a number added to 4 is divided by the number plus 4, the result is eight thirds

To find: the number

Let the required number be "a"

Let us first break the given sentence

three times a number = 3a

three times a number added to 4 = 3a + 4

number plus 4 = a + 4

three times a number added to 4 is divided by the number plus 4 =

three times a number added to 4 is divided by the number plus 4, the result is eight thirds which means:

On solving we get,

9a + 12 = 8a + 32

9a - 8a = 32 - 12

a = 20

Thus the required number is 20

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this

answer:

c 60% on edg