Answer:
262
Step-by-step explanation:
If x is the first integer, then x+1 is the second, x+2 is the third, and so on. Meaning the 7th term in the list is x+6.
x + x + 6 = 518
2x = 512
x = 256
The first integer is 256, so the last integer is 262.
For this case we have that by definition, the discriminant of a quadratic expression is given by:
![d = b ^ 2-4 (a) (c)](https://tex.z-dn.net/?f=d%20%3D%20b%20%5E%202-4%20%28a%29%20%28c%29)
If the discriminant is less than zero then the expression has two different complex roots.
In this case we have the following expression:
![x ^ 2 + 4x + c](https://tex.z-dn.net/?f=x%20%5E%202%20%2B%204x%20%2B%20c)
So we have to:
![a = 1\\b = 4\\c = c\\](https://tex.z-dn.net/?f=a%20%3D%201%5C%5Cb%20%3D%204%5C%5Cc%20%3D%20c%5C%5C)
The discriminant is given by:
![d = 4 ^ 2-4 (1) (c)\\d = 16-4c](https://tex.z-dn.net/?f=d%20%3D%204%20%5E%202-4%20%281%29%20%28c%29%5C%5Cd%20%3D%2016-4c)
Then, if we want two complex roots it must be fulfilled that:
![16-4c](https://tex.z-dn.net/?f=16-4c%20%3C0%5C%5C16%20%3C4c%5C%5C%5Cfrac%20%7B16%7D%20%7B4%7D%20%3Cc%5C%5C4%20%3Cc)
Thus, the expression has two complex roots for all values greater than 4.
ANswer:
![c> 4](https://tex.z-dn.net/?f=c%3E%204)
Answer:
66
Step-by-step explanation:
The bases are both the same so it's 3*3 for both of them.
The sides are also the same so it's 3*4 for all four of them.
3*3+3*3+3*4+3*4+3*4+3*4
9+9+12+12+12+12
18+48
66
Answer:
0.03734439834
Step-by-step explanation:
Answer:
12) A ( 9, 11, 13, 15)
13) A ( o , a)
14) A (b ∈ ( a, b, c, d, e, f))
15) C ( -364)
16) D (-1°C)
17) B (Negative)
18) C (26 feet)
19) B (7)
Step-by-step explanation:
12) All of these are odd numbers greater than 7
13) These are the only vowels in "MONDAY"
14) Point B cannot belong in a set that already has B
15) -9876 + 9512 = -364
16) 4 - 5 = -1
17) ex: -2 + (-2) = -4
18) -20 + 12 - 18 = -26
19) 3(5) + 4(-2) = 15 - 8 = 7
-Chetan K