Rewrite the given quadratic equation in standard form: Kx 2 + 2x - 1 = 0
Discriminant = 4 - 4(K)(-1) = 4 + 4K
For the equation to have two real solutions, the discriminant has to be positive. Hence we need to solve the inequality 4 + 4K > 0.
The solution set to the above inequality is given by: K > -1 for which the given equation has two real solutions.
If the first roll is a 4, the possibilities to add less than 8 are that the second cube roll is 1, 2 or 3.
These are 3 different events out of 6 possilbe ones, which is 3 / 6 = 1 / 2; i.e. half of times.
Then the answer is the first option: 1 / 2
Answer:
Step-by-step Turn 7 into a fraction
3/5 ÷ 7/1
Use the recipricle and multiply
3/5 x 1/7
Multiply across
3/35
And that's it! :)
Answer:
E
Step-by-step explanation:
When you substitute (5,-19) for A you get -19=-21 which is incorrect, when you substitute it for B you get, -19=-13 which is also incorrect, for C you get -19=-14, D you get -19=-22, and finally for E you get the correct answer which is -19=-19. Hope this helps :)
Answer is C. multiply by 3 - square root 5
using a^2 - b^2 = (a + b)(a - b)
