Answer:
Part a) 
Part b) 
Step-by-step explanation:
we know that
A reciprocal of a rational number
is obtained by changing the numerator and denominator, so the numerator becomes the denominator and the denominator becomes the numerator obtaining 
Part a) we have
200
we know that
the given number can be expressed as 
so
changing the numerator and denominator
The reciprocal is equal to 
Part b) we have
450
we know that
the given number can be expressed as 
so
changing the numerator and denominator
The reciprocal is equal to 
Answer:
4th choice 
Step-by-step explanation:
<u>Definition of the inverse of a function</u>
A function g is the inverse of a function f if whenever y=f(x) then x=g(y). In other words, applying f and then g is the same thing as doing nothing. We can write this in terms of the composition of f and g as g(f(x))=x. The domain of f becomes the range of g and the range of f becomes the domain of g
To solve for the inverse of the function 
Let 


Switch sides

Take square roots on both sides

Add 4 on both sides to solve for y

We have two solutions

To determine which one of these to be chosen not that in the given choices we can eliminate the first two since x cannot be negative
The third choice can also be eliminated since
is a decreasing function for
So the last answer choice is correct and the inverse of
is given by 
Answer:4th choice 
Note
Domain of (x-4)² is [4, ∞) since x ≥ 4 and (x-4)² cannot be negative
Range of (x-4)² is [0, ∞)
Domain of
is [0, ∞)
Range of
is [4, ∞)
so indeed the domain of (x-4)² has become the range of
and the range of (x-4)² has become the domain of 
The points on the graph are:
- Midline point = (0,-5)
- Maximum point = (0.65,-2)
<h3>(a) The graph of the function</h3>
The equation of the function is given as:

See attachment for the graph of the function f(x)
<h3>(b) The midline point</h3>
This is the point that is on the line that passes through the midsegment of the function.
From the graph, a point on the midline is (0,-5)
<h3>(c) The maximum point</h3>
This is the point that is on the vertex of the function.
From the graph, a point on the midline is (5pi/24,-2)
This can be rewritten as: (0.65,-2)
Read more about trigonometry graphs at:
brainly.com/question/8120556
I believe it is B, as C and D both are based on the number of books sold while the only variable to determine the amount of money she earns are the additional doors she knocks on.
Answer:
2116 - 5n
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4
Step-by-step explanation:
Hope it helped! :)