Let r be the lesser root and r^2 be the greater.......the sum of the roots = -b/a = -[-6] / 1 = 6
So we have that
r^2 + r = 6 → r^2 + r - 6 = 0
Factor
(r + 3) (r - 2) = 0
So r = -3 or r = 2
Then r^2 = 9 or r^2 =4
And the product of the roots = c/a = k/a = k
So....k = (-3)(9) = -27 or k = (2)(4) = 8
Check
x^2 - 6x - 27 = 0 factors as (x + 3)(x - 9) = 0 and the roots are -3 and 9
x^2 - 6x + 8 = 0 factors as (x -2) (x - 4) =0 and the roots are 2 and 4
Answer:
we predict 2,587 persons will adopt dogs
Step-by-step explanation:
out of 40 persons 23 adopt dogs
Then
out of 40×25 persons 23×25 adopt dogs
Then
out of 1000 persons 575 adopt dogs
Then
out of 1000×4.5persons 575×4.5 adopt dogs
Then
out of 4,500 persons 2,587.5 adopt dogs
Method 2 :
Let x Ben the number of persons we predict they will adopt dogs:
Here we have a proportional relationship:
Then
Answer:
432 feet
Step-by-step explanation:
The total length of line he will draw is equivalent to the perimeter of the plane shape he is drawing. Given that it is a soccer field measured as 96 feet by 120 feet, the shape is a rectangle.
The perimeter p of a rectangle whose length is l and width is b is given as
p = 2(l+b)
Hence the length of the line he must draw
= 2(96 + 120)
= 2 * 216
= 432 feet
Answer:
20/n+10 = 10/n+20 n
multiply both side n,
n (20/n+10) = n(10/n+20 n)
20+10n = 10+20n^2
20+10n -20 = 10+20n^2 -20
10n = 20n^2 -10
10n - 10n = 20n^2 -10 -10n
0 = = 20n^2 -10 -10n
20n^2 -10 -10n = 0
n = 1 or n = -0.5
Step-by-step explanation:
