Answer:
2. a and b only.
Step-by-step explanation:
We can check all of the given conditions to see which is true and which false.
a. f(c)=0 for some c in (-2,2).
According to the intermediate value theorem this must be true, since the extreme values of the function are f(-2)=1 and f(2)=-1, so according to the theorem, there must be one x-value for which f(x)=0 (middle value between the extreme values) if the function is continuous.
b. the graph of f(-x)+x crosses the x-axis on (-2,2)
Let's test this condition, we will substitute x for the given values on the interval so we get:
f(-(-2))+(-2)
f(2)-2
-1-1=-3 lower limit
f(-2)+2
1+2=3 higher limit
according to these results, the graph must cross the x-axis at some point so the graph can move from f(x)=-3 to f(x)=3, so this must be true.
c. f(c)<1 for all c in (-2,2)
even though this might be true for some x-values of of the interval, there are some other points where this might not be the case. You can find one of those situations when finding f(-2)=1, which is a positive value of f(c), so this must be false.
The final answer is then 2. a and b only.
Answer:
8π in
64π mm²
Step-by-step explanation:
The circumference of a circle is equal to 2πr, where r is the radius.
2π(4) = 8π ≈ 25.132
The area of a circle is equal to πr²
π(8)² = 64π ≈ 201.062
Answer:
Choice A
Step-by-step explanation:
There should be an open circle at 0 since there is no equals in the inequality
n is greater than zero so the line goes to the right.
Choice A
We know that 1 kilometer = 1,000 meters and that 1 hour = 60 minutes = 3,600 seconds
We have 26.8 meters per second so whats 26.8 meters in kilometers? there is 0.0268 kilometers in 26.8 meters. So now we need to multiply 0.0268 by 3,600 to get 96.48
So your answer would be 96.48 km/h
