![{3x}^{2} - 5x = - 8 \\ {3x}^{2} - 5x + 8 = 0](https://tex.z-dn.net/?f=%20%7B3x%7D%5E%7B2%7D%20%20-%205x%20%3D%20%20-%208%20%5C%5C%20%20%7B3x%7D%5E%7B2%7D%20%20-%205x%20%2B%208%20%3D%200)
This equation has the next form:
![{ax}^{2} + bx + c = 0](https://tex.z-dn.net/?f=%20%7Bax%7D%5E%7B2%7D%20%20%2B%20bx%20%2B%20c%20%3D%200)
To find if the equation has two complex solutions we have to check if the discriminant is negative, as follows:
![{b}^{2} - 4ac \\ ( { - 5})^{2} - 4 \: . \: 3 \: . \: 8 = 25 - 96 = - 71 < 0](https://tex.z-dn.net/?f=%20%7Bb%7D%5E%7B2%7D%20%20-%204ac%20%5C%5C%20%28%20%7B%20-%205%7D%29%5E%7B2%7D%20%20-%204%20%5C%3A%20.%20%5C%3A%203%20%5C%3A%20.%20%5C%3A%208%20%3D%2025%20-%2096%20%3D%20%20-%2071%20%3C%200)
Then, the first case has two complex solutions.
In the second case,
![{2x}^{2} = 6x - 5 \\ {2x}^{2} - 6x + 5 = 0](https://tex.z-dn.net/?f=%20%7B2x%7D%5E%7B2%7D%20%20%3D%206x%20-%205%20%5C%5C%20%20%7B2x%7D%5E%7B2%7D%20%20-%206x%20%2B%205%20%3D%200)
The discriminant in this case is:
![( { - 6})^{2} - 4 \: . \: 2 \: . \: 5 = 36 - 40 = - 4 < 0](https://tex.z-dn.net/?f=%28%20%7B%20-%206%7D%29%5E%7B2%7D%20%20-%204%20%5C%3A%20.%20%5C%3A%202%20%5C%3A%20.%20%5C%3A%205%20%3D%2036%20-%2040%20%3D%20%20-%204%20%3C%200)
Then, the second case has two complex solutions.
In the third case,
![12x = {9x}^{2} + 4 \\ { - 9x}^{2} + 12x - 4 = 0](https://tex.z-dn.net/?f=12x%20%3D%20%20%7B9x%7D%5E%7B2%7D%20%20%2B%204%20%5C%5C%20%20%7B%20-%209x%7D%5E%7B2%7D%20%20%2B%2012x%20-%204%20%3D%200)
The discriminant in this case is:
![{12}^{2} - 4 \: . \: ( - 9) \: . \: ( - 4) = 144 - 144 = 0](https://tex.z-dn.net/?f=%20%7B12%7D%5E%7B2%7D%20%20-%204%20%5C%3A%20.%20%5C%3A%20%28%20-%209%29%20%5C%3A%20.%20%5C%3A%20%28%20-%204%29%20%3D%20144%20-%20144%20%3D%200)
Then, the third case has two real solutions.
In the fourth case,
![{ - x}^{2} - 10x = 34 \\ { - x}^{2} - 10x - 34 = 0](https://tex.z-dn.net/?f=%20%7B%20-%20x%7D%5E%7B2%7D%20%20-%2010x%20%3D%2034%20%5C%5C%20%20%7B%20-%20x%7D%5E%7B2%7D%20-%2010x%20-%2034%20%3D%200)
The discriminant in this case is:
![( { - 10})^{2} - 4 \: . \: ( - 1) \: . \: ( - 34) = 100 - 136 = - 36 < 0](https://tex.z-dn.net/?f=%28%20%7B%20-%2010%7D%29%5E%7B2%7D%20%20-%204%20%5C%3A%20.%20%5C%3A%20%28%20-%201%29%20%5C%3A%20.%20%5C%3A%20%28%20-%2034%29%20%3D%20100%20-%20136%20%3D%20%20-%2036%20%3C%200)
Then, the fourth case has two complex solutions.
The true one is the answer because it’s not false and the relationship is external
I think the digit 2 would repeat indefinitely 2, 4, 8, 16, yada yada. Hope it helped
Answer:
1) Are dividing the group rate cost.
2) Multiplication.
3) Action is being performed on the variable.
4) n/4 or n [divided sign] 4
Step-by-step explanation:
Atleast this book tells you. but most times its a multi questioning test like online.
Answer:
difference in rise is $0.95 = $5.24
lucky charms = $4.29 = 22.03% 0.945
As deviation 0.5 of 4.29 = 97.855%
22.03% of 4.29 = 0.945 = + 4.29 = $5.24
Step-by-step explanation:
z score = 0
A z-score less than 0 represents an element less than the mean. A z-score greater than 0 represents an element greater than the mean. A z-score equal to 0 represents an element equal to the mean.
0.5 : 0.9452
This replaces the deviation
lucky charms = $4.29 = 22.03% more 0.945
As deviation 0.5 of 4.29 = inverse of 97.855% = 0.02145
2.145% 22.03-2.145
22.03% of 4.29 = 0.945 = + 4.29 = 5.235 = $5.24
So this means the difference in rise is $0.95