The graph of the reciprocal parent function, f(x) = 1/x will be g(x) = 1/(x + 8) + 5. The correct answer is option A.
<h3>What is a parent function?</h3>A parent function in mathematics is the simplest function in a family of functions that keeps the definition of the entire family. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The function g(x) will be calculated as:-
Staring with 1/x a shift up of 5 units makes it 1/x + 5. A shift of 8 to the left makes it 1/(x + 8) + 5.
The graph of both the functions f(x) and g(x) is attached with the answer below.
Therefore, the graph of the reciprocal parent function, f(x) = 1/x will be g(x) = 1/(x + 8) + 5. The correct answer is option A.
The complete question with options is attached in the figure with the answer below.
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The answer is: the price of 5 pints of tomato sauce is $2.25.
<h2>Why?</h2>To calculate how much does it cost 5 pints, we need to perform a unit conversion with the following unit relationship:
Now, calculating how much is a pint:
A pint is $0.45.
Then, calculating how much are 5 pints:
Hence, the price of 5 pints of tomato sauce is $2.25.
Have a nice day!
Since (density = mass/volume), we can get the mass/weight of the liquid by integrating the density
over the interior of the tank. This is done with the integral
which is more readily computed in cylindrical coordinates as