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:
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Step-by-step explanation:
Answer: 0.10
Step-by-step explanation:
Find the number in the hundredth place
9
9
and look one place to the right for the rounding digit
9
9
. Round up if this number is greater than or equal to
5
5
and round down if it is less than
5
5
.
0.10
I'm assuming this is just a simple addition problem so 12,383 miles plus 113,211 miles is equal to 125 594 miles
First we define the varible to use:
x = represent the number of cookies
Cameron:
The amount of cookies he made was:
x
Deyonne:
We can rewrite the amount in different ways:
x + 0.25x
1.25x
Then, the total revenue is:
0.50 * (x + (x + 0.25x))
We rewrite:
0.50 * (x + 1.25x)
0.50 * (2.25x)
Answer:
The following expressions represent possible revenue from the sales:
F. 0.50 (2.25x
C. 0.50 (x + 1.25x)
A. 0.50 [x + (x + 0.25x)]
