Answer:
6 ways.
Step-by-step explanation:
a, b, c
a, c, b
b, a, c
b, c, a
c, a, b
c, b, a
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.
The area of the mat is 42.67 inches^2 or 42 and 2/3 in^2
Answer:
2 pounds
Step-by-step explanation:
pounds of white candy: 8.25 - (2.5 + 3.75) = 8.25 - 6.25 = 2
Hello,
Using V = (pi)(r)^2(h) :
V = 12
r = ?
h = 8
12 = (pi)(r)^2(8)
12/(8pi) = r^2
sqrt(12/8pi) = sqrt(r^2)
r = .69 in
Good luck to you!
