Answer:
The average rate of change of f(x) over the interval −1 ≤ <em>x</em> ≤ 1 is -1.
Step-by-step explanation:
The average rate of change of a function is:
The function is:
The interval is, -1 ≤ <em>x</em> ≤ 1.
Compute the average rate of change as follows:
Thus, the average rate of change of f(x) over the interval −1 ≤ <em>x</em> ≤ 1 is -1.
Answer with Step-by-step explanation:
We are given that two events A and B are mutually exclusive.
a.For mutually exclusive events,
Therefore, event A can not occurred if event B has occurred because two events can not occur together.
Answer:No, by definition mutually exclusive events cannot occur together.
b.When two events are independent
Then ,
If two events are mutually exclusive then
Then ,
Therefore,
Hence, we can concluded that events A and B are not independent if they are mutually exclusive.
Answer:Yes,
Let x represent the amount Betty invested at 15%. The (2x+237) is the amount Betty has invested at 13%. Her total earnings are ...
x*0.15 + (2x+237)*0.13 = 1688.03
0.41x + 30.81 = 1688.03
x = (1688.03 -30.81)/0.41 = 4042.00
Betty has $4042.00 invested at 15%.
Betty has $237 +2*4042 = $8321.00 invested at 13%.
Answer:
congruent
Step-by-step explanation:
In geometry, two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
so yes, they are congruent because they have the same angle