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.
Since each barber works 8 hours per day, it means that the barber shop conducts 112 haircuts in 8 hours. This means that it conducts
cuts per hour. Every barber can conduct two haircuts per hour. This means that a generic number of barbers conducts cuts per hour. But we already know that the shop conducts 14 cuts per hour, so the number of barbers is given by
So from what I understand of the problem, the tv costs $850 at a discounted price of 20%. and other than the 20%, you can get an additional discount of 15% at the counter. So to solve this, you can just simply multiply 850 with 35% or 0.35. The answer to that will be $297.5. Now you then have to less this amount with 850. The final answer to that is 552.5. So after all the discounts that you have received from the store, then the final price that you can get for this tv set would be $552.5
Answer:
Area of the blue border is 100.544 ft²
Step-by-step explanation:
What is the area of the blue border?
Area of a Circle = πr² , where π = 3.142
Where: Outer diameter = 12 ft ==> (half of diameter) Radius (r₁) = 6 ft
Inner diameter = 4 ft ==> (half of diameter) Radius (r₂) = 2 ft
The blue border is the space between the edge of the rug and the inner red circle.
The area of the blue border = Area of outer circle - Area of the inner circle
Area of Outer Circle = πr₁² = 3.142(6)² = 113.112 ft²
Area of Inner Circle = πr₂² = 3.142(2)² = 12.568 ft²
The area of the blue border = 113.112 - 12.568
= 100.544 ft²