1. As x approaches 1, f(x) approaches 3-1, that is 2.
If a = 2 and b = 3, f(1) = 2(1)^2 + 3(1) = 5
So there is a 'jump' in values of x at x = 1. So its not continuous at x=1.
2. For continuity at x = 1, ax^2 + bx must = 2 that is when a + b = 2.
3. for continuity at x = 2 , ax^2 + bx must be = 0 that is when a*2^2 + 2b = 0
- that is 4a + 2b = 0.
4. we have system of equations:-
a + b = 2
4a + 2b = 0
this gives a = -2 and b = 4 So f(x) is continuous when a = -2 and b = 4.
Answer:
It should be B
Step-by-step explanation:
Step-by-step explanation:
<em>I </em><em>hope</em><em> this</em><em> will</em><em> help</em><em> you</em>
The time to fill the sink if Blake forgets to put in the stopper would be 15 mins.
Step-by-step explanation:
Given that,
The kitchen sink can fill in: 6 mins
The sink can drain in: 10 mins
We have to find the time to fill the sink if Blake forgets to put in the stopper. For that,
Lets say, the full tank = 1
Filling rate = 
Drainage rate = 
Hence, the time to fill the tank would be:

(Multiply by LCM)


x = 15
Hence, the time to fill the sink if Blake forgets to put in the stopper would be 15 mins.
Answer:pretty sure the -4 would be on the right of the seven. And to the left of -1.
Step-by-step explanation: