Please answer the question from the attachment.
2 answers:
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Answer:
" is irrational for every nonzero integer x"
Step-by-step explanation:
The original statement is
" is rational for some nonzero integer x."
The negation is technically:
"It is NOT true that is rational for some nonzero integer x."
So it's expressing that it's false that can be rational for some nonzero integer x.
This just means that is always irrational when x is a nonzero integer.
Which can be worded as
" is irrational for every nonzero integer x"
Answer:
Step-by-step explanation:
If an exponential function is in the form of y = a(b)ˣ,
a = Initial quantity
b = Growth factor
x = Duration
Condition for exponential growth → b > 1
Condition for exponential decay → 0 < b < 1
Now we ca apply this condition in the given functions,
1).
Here, (1 + 0.45) = 1.45 > 1
Therefore, It's an exponential growth.
2).
Here, (0.85) is between 0 and 1,
Therefore, it's an exponential decay.
3). y = (1 - 0.03)ˣ + 4
Here, (1 - 0.03) = 0.97
And 0 < 0.97 < 1
Therefore, It's an exponential decay.
4). y = 0.5(1.2)ˣ + 2
Here, 1.2 > 1
Therefore, it's an exponential growth.