Step-by-step explanation:
general formula
x²-(a+b)x+(ab)
where a is alpha
and b is beta
x=-4+2/6 or x=-4-2/6
x=-1/3 or x=-1
a+b=-1/3 + -1 =-4/3
ab= -1/3 x -1 =1/3
quadratic equation
x²-(-4/3)x + 1/3=0
x² + 4/3x + 1/3=0
multiply through by 3
3x² +4x +1=0
The panthers won 40 games out of 60, by hypothesis.
Let x be the number of matches they will win out of 110 games, if they keep the same rate. We'll use the rule of three:
40 games ---> 60 games
x games ---> 110 games
x = (110*40) / 60
x = 4400/60
x ≈ 73.33
So the panthers, at this rate, will win 73 games out of 110.
Hope this helps! :)
X=10 and x=0
Steps:
5x=x^2/2
10x=x^2
x^2-(10x)=0
(x-10)(x+0)=0
Solve for factors
x-10=0
x=10
x+0=0
x=0
Answer:
Step-by-step explanation:
#1 Number of ways picking 2 from 6 = 6C2 = 15
#2 Arranging them in a circle (consider 1 pair AB)
can be done
1,5 (ABBBBB) or (5,1)
2,4 ( AABBBB) or (4,2)
3,3
1,1 (ABABAB)
all up = 7 ways
#3 = product of #1 and #2 = 15x7 = 105
Answer:
(7.50/4)*6 =$11.25
Step-by-step explanation:
