After manipulating above equation we get, 2x^2 - 7x - 8= 0. Discriminant= b^2 - 4ac = (-7)^2 - 4(2)(-8) = 113>0. So there are 2 real roots :)
Answer:
The sum of the money shared is $1372
Step-by-step explanation:
The given ratio is
Albert:Michael:Moses=3:5:6
The total ratio is 3+5+6=14
Let the sum of money shared be $x.
Then Albert's share = 3/14 x
= 3
/ 14
Michal's Share = 5x/14
If Michael received $196 more than Albert, then the difference between their share is the $196.
Answer:
6 : 1
Step-by-step explanation:
b - 3a / 9 = a /3
Cross multiply
3(b - 3a) = 9a
Expand
3b - 9a = 9a
Add 9a to both sides
3b = 9a + 9a
3b = 18a
Divide both sides by 3
b = 6a
Ratio of a : b
6 : 1
X + 5 + 11x = 12x + y
Simplify: 12x + 5 = 12x + y (We are adding x and 11x on the left side)
Subtract 12x from each side makes each zero.
5 = y
So we can plug in and test. I'm picking two random numbers to plug in for x. 10, and 82
x = 10, y = 5
10 + 5 + 11(10) = 12(10) + 5
125 = 125
x = 82, y = 5
82 + 5 + 11(82) = 12(82) + 5
989 = 989
So we verified y = 5
assuming that 0 apples costs 0 dollars
and 16 apples costs $8
so we have the points
(0,0) and (16,8) in form (x,y)
graph below