Answer:
it's 1/3
Step-by-step explanation:
5/6+(-1/2)
5/6-1/2
LCM= 6
(5-3)/6
2/6
1/3
Answer:
Speed of vehicle = 500 km/hour
Step-by-step explanation:
Given that:
Distance travel by vehicle = 6,500 km
Time taken by vehicle = 13 hour
Find:
Speed of vehicle in kilometer per hour
Computation:
Speed = Distance / Time
Speed of vehicle = Distance travel by vehicle / Time taken by vehicle
Speed of vehicle = 6,500 / 13
Speed of vehicle = 500 kilometer per hour
Answer:
Conjecture
Disjunction
Counterexample
Conjunction
Inductive reasoning
Conditional
Step-by-step explanation:
I used Quizlet and I knew most of them.
Answer: 9
Step-by-step explanation:
If 19 students take history, 12 take economics and 5 take both:
19-5 = 14 students that take only history
12-5 = 7 students that take only economics
Therefore total number of students who either history, economics or history and economics: 14 + 7 + 5 = 26
Therefore students who take neither: 35 - 26 = 9
Answer:
Step-by-step explanation:
define the function:
As both 
and x are continuous functions, 
will also be continuous.
Now, what can we say about 
?
we know that 
, thus:
thus 
is non-negative.
What about 
? Again we have:
That means that is not positive.
Now, we can imagine two cases, either one of 
or is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point 
for which 
is a fixed point, because:
Now, if 
and 
, then we have that
and 
. And by Bolzano's theorem we can assert that there must exist a point c between a and b for which . And as we have shown before that point would be a fixed point. This completes the proof.
