First get the equation into the form: Ax^2 + Bx + C = 0 (the quadratic equation)..
We do this by subtracting 10x both sides (to get it on the other side)..
9x^2 + 2 = 10x
9x^2 - 10x + 2 = 10x - 10x
9x^2 - 10x + 2 = 0
Now the discriminant is: b^2 - 4ac
The quadratic equation is Ax^2 + Bx + C = 0
Here, A = 9, B = -10 and C = 2 so plug them in...
(-10)^2 - 4 (9)(2)
= 100 - 4 (18)
= 100 - 72
= 28 <--- answer...
Answer:
Step-by-step explanation:
a triangles angles add up to 180
subtract 102 from 180
180-102
that’s 78
a and b are equal so divide 78 by 2 to get 39
a and b are both 39
Answer:
0.3
Step-by-step explanation:
Given: The odds of winning a contest are 3:7
To find: probability of winning the contest
Solution:
Probability refers to chances of occurrence of an event.
Odds are defined as (chances for success) : (chances against success)
Probability of winning = (chances for success) : (chances for success + chances against success)
As odds of winning a contest are 3:7,
(chances for success) : (chances against success) = 3:7
So,
Probability of winning the contest =
Answer:
Cornor has $14.17 initially
Step-by-step explanation:
The complete question is as follows
Connor has five times as much money as Jayden. Connor gives some money to Jayden. They now have £8.520each. How much did Connor have at the start?
solution
In this question, we are concerned with knowing how much that both had initially.
Let the amount of money Jayden has be £x . Since Cornor has Five times this, he has £5x
Let the amount of money Cornor gave Jayden be £y.
This means ;
5x - y = 8.50 .....(
(i)and also x + y = 8.50 ......(ii)
It is this equations we solve simultaneously
From i, we can say let y= 5x - 8.50, and we insert this into equation ii
x + 5x - 8.50 = 8.50
6x = 17
x = 17/6
x = $2.83
y = 5x - 8.50
y = 5(2.83) - 8.50
y = $5.67
The amount of money Cornor has at first is 5x = 5(17/6)
5x = $14.17