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:
1. 4
2. 9
3. <
Step-by-step explanation:
The ratio 4 to 5 means that the left model should have 4 segments shaded (out of 5 given).
The ratio 9 to 10 means that the right model should have 9 segments shaded (out of 10 given).
Compare the shaded regions. If you draw the horizontal line in the left model. then there will be 8 segments shaded (out of 10), this means the ratio 4 : 5 is less than the ratio 9 : 10.
Answer:
Tom/Lee
Step-by-step explanation:
Answer:
533.6cm²
Step-by-step explanation:
Hello!
I'm here to answer your question!
<u>Area of each triangular base:</u>
<u />
<u>Area of the rectangular faces:</u>
<u>Add to find the surface area:</u>
Thus, the surface area of the triangular prism is = 533.6 yd²
Hope this helps you!
Hugs from,
Josh
Answer:
P(B) 7
Step-by-step explanation:
The answer is P (B)
