If
then the derivative is
Critical points occur where . This happens for
In the first case, we find
In the second,
So all the critical points occur at multiples of , or
. (This includes all the even multiples of
.)
If you horizontally compress exponential function f(x)=2^x by a factor by a of 5, which of these is the equation of the new func
tion?
2 answers:
Answer: A.
Step-by-step explanation:
When we compress a function by a scale factor of 'k', where k >1, then the function after compression will become :
, where k>1
Given: Exponential function:
The scale factor of the compression (k): 5
Then after horizontally compression , the exponential function will become :
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Answer:
The probability of choosing a blue or yellow highlighter when one yellow highlighter is picked is 17/25.
Step-by-step explanation:
Here, according to the question:
Total number of yellow highlighters = 12
Total number of blue highlighters = 6
Total number of green highlighters = 4
Total number of orange highlighters = 3
So, the total number of highlighters = 12 + 6 + 4 + 3 = 25
Let E1 : Event of selecting a yellow highlighter.
P(E1) = =
Let E2 : Event of selecting blue or yellow highlighter ONCE yellow highlighter is selected.
So, the total yellow highlighters left after selecting one = 12 -1 = 11
Also, the number of blue highlighter = 6
So, the TOTAL FAVORABLE options to E2 = 6+ 11 = 17
P(E2) =
=
Hence, the probability that a blue or yellow highlighter is selected given that a yellow highlighter is selected is 17/25.