Simplify the expression (9 + 2i)(9 − 2i).
2 answers:
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Answer:
<em>The domain of f is (-∞,4)</em>
Step-by-step explanation:
<u>Domain of a Function</u>
The domain of a function f is the set of all the values that the input variable can take so the function exists.
We are given the function
It's a rational function which denominator cannot be 0. In the denominator, there is a square root whose radicand cannot be negative, that is, 4-x must be positive or zero, but the previous restriction takes out 0 from the domain, thus:
4 - x > 0
Subtracting 4:
- x > -4
Multiplying by -1 and swapping the inequality sign:
x < 4
Thus the domain of f is (-∞,4)
Answer:
Option D.The decrease in the value of the car, which is 8%
Step-by-step explanation:
we have a exponential function of the form
where
y is the value of the car
x is the time in years
a is the initial value
b is the base
r is the rate of decrease
b=1+r
In this problem we have
a=$24,000 initial value of the car
b=0.92
so
0.92=1+r
r=0.92-1=-0.08=-8%-----> is negative because is a rate of decrease
Answer:
The quantity of water drain after x min is 50
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water ×
I.e The quantity of water drain after x min = 50 gallon ×
or, The quantity of water drain after x min = 50 gallon ×
Hence the quantity of water drain after x min is 50 Answer