Answer:
Step-by-step explanation:
6
For this case we have that by definition, the discriminant of a quadratic equation
, 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)
: Two different real roots
: Two equal real roots
: Two different complex roots
If we have
, then:
![a = 9\\b = 12\\c = 4](https://tex.z-dn.net/?f=a%20%3D%209%5C%5Cb%20%3D%2012%5C%5Cc%20%3D%204)
Substituting the values:
![d = 12 ^ 2-4 (9) (4)\\d = 144-144\\d = 0](https://tex.z-dn.net/?f=d%20%3D%2012%20%5E%202-4%20%289%29%20%284%29%5C%5Cd%20%3D%20144-144%5C%5Cd%20%3D%200)
Thus, we have two equal real roots.
ANswer:
We have two equal real roots.
9 : 2 = 18 : 4
As: 9 x 2 : 2 x 2 = 18 : 4
--------------------
36 : 8 = 18 : 4
As: 18 x 2 : 4 x 2 = 36 : 8
--------------------
72 : 16 = 18 : 4
As: 18 x 4 : 4 x 4 = 72 : 16
Answer: 78.5
Step-by-step explanation: Assuming you use 3.14 for pi, then 5^2 times 3.14 equals to 78.5. If you use the real number for pi, then it is going to be 78.54/
Answer:
Domain [-5,3)
Range [0,2]
Step-by-step explanation:
Domain is where the function exists for the x's.
The graph starts at x=-5 and ends at x=3. The graph includes what happened at x=-5 but not at x=3. Since there are no breaks in the graph, the graph exists for x values bigger that or equal to -5 but less than 3.
The domain is [-5,3) in interval notation.
Range is very similar except it is for the y values. So the graph starts at y=0 and stops at y=2. It includes something happening at both and there are no breaks between y=0 and y=2.
The range in interval notation is [0,2].