The equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
<h3>How to determine the equation?</h3>
The attached table of values represents the missing piece in the question.
Start by calculating the rate of change using:
m = (y2 - y1)/(x2 - x1)
This gives
m = (14.77 - 10.55)/(7- 5)
Evaluate
m = 2.11
The equation is then calculated using:
y = m(x - x1) + y1
This gives
y = 2.11(x - 5) + 10.55
Evaluate
y = 2.11x - 10.55 + 10.55
y = 2.11x
Hence, the equation that represents the relationship between the number of liters, x, and the number of liquid pints, y is y = 2.11x
Read more about linear equations at:
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They are opposites of each other.
-13.2 + 8.1 = -5.1
13.2 - 8.1 = 5.1
Make a change of coordinates:


The Jacobian for this transformation is

and has a determinant of

Note that we need to use the Jacobian in the other direction; that is, we've computed

but we need the Jacobian determinant for the reverse transformation (from

to

. To do this, notice that

we need to take the reciprocal of the Jacobian above.
The integral then changes to

Answer:
£13496.80
Step-by-step explanation:
We can ignore the £ sign for now, that is just units.
If we decrease a number by 4.5%, we will have to find
% of 14132.77.
We can easily do this by setting up a proportion.

Multiply 14132.77 by 95.5:

Divide by 100:

Rounding this to two decimal places, it simplifies to 13496.80.
Hope this helped!
Answer: x = -1 and x= -5
Step-by-step explanation:
Try plugging in the solutions for x (remember that whatever number comes out of the absolute value bars is ALWAYS POSITIVE)