Step-by-step explanation:
Using the Intermediate Value Theorem, the following is applied:
"If f(x) is a continuous on interval [a,b] and we have two points f(a) and f(b) then there must be some value c such that f(a)<f(c)<f(b).
So here there must be a c such that
Note: F(c)=0, the questions that the function have a solution between 0 and 1, so that means we must have some value, c such that f(c)=0 that exists
Next, plug in the x values into the function
Since cubic functions are continuous and -4<0<4, then there is a solution c that lies between f(0) and f(1)
Answer:
12)
11-5+x=2x-1
x-2x=-1-11+5
-x=-7
x=7
13)
10+2x+12=x+17
2x-x=17-12-10
x=-5
Step-by-step explanation:
Answer:
We use tree diagram by connecting relevant samples
Step-by-step explanation:
thats all
Answer:
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- <em>It takes</em><u> 2.5 minutes </u><em>to fill the tank.</em>
Explanation:
The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:
- Net rate = rate of filling - rate of leaking
- Net rate = 5 liters/minute - 1 liter/minute
- Net rate = 4 liters/minute
Thus, consiedering the tank is empty at the beginning, the time is:
- Time = Volume of the tank / net rate of filling
- Time = 10 liters / (4liters/minute)
- Time = 2.5 minutes ← answer