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Rus_ich [418]
3 years ago
15

You are trying to create a linear fit for a data set that involves a "miles per gallon" variable. What is the most appropriate t

ransformation in this case according to the Ladder of Powers?a. Square root the values of the Ysb. Square the values of the Ysc. Take the reciprocal square of the Ysd. No transformation is needed
Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

Option C = Take the reciprocal square of the Ys

Step-by-step explanation:

The most appropriate transformation in this case according to the Ladder of Powers is to Take the reciprocal square of the Ys.

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Please show your work and explain it.
Maru [420]

Answer:

f(x)=\dfrac{x+2}{2(x-2)}

Step-by-step explanation:

Remember when you divide fractions, you need to get the reciprocal of the divisor and multiply. So your first simplification would be:

\dfrac{x^2+4x+4}{x^2-6x+8}\div\dfrac{6x+12}{3x-12}\\\\=\dfrac{x^2+4x+4}{x^2-6x+8}\times\dfrac{3x-12}{6x+12}\\\\=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}

Next we factor what we can so we can further simplify the rest of the equation:

=\dfrac{(x^2+4x+4)(3x-12)}{(x^2-6x+8)(6x+12)}\\\\=\dfrac{(x+2)(x+2)(3x-12)}{(x^2-6x+8)(6(x+2))}\\\\

We can now cancel out (x+2)

=\dfrac{(x+2)(3x-12)}{(x^2-6x+8)(6)}

Next we factor out even more:

=\dfrac{(x+2)(3)(x-4)}{(x-2)(x-4)(6)}

We cancel out x-4 and reduce the 3 and 6 into simpler terms:

=\dfrac{(x+2)(1)}{(x-2)(2)}

And we can now simplify it to:

=\dfrac{x+2}{2(x-2)}

6 0
4 years ago
By switching service providers, a family’s monthly bill decreased from $57 in May to
gavmur [86]

Answer:

38.6%

Step-by-step explanation:

8 0
3 years ago
A snowcone cup at the country fair is 15 cm tall and has a diameter of 8 cm if the cup is full just the top what is the volume o
slavikrds [6]

Answer:

2827 cubic centimetre

Step-by-step explanation:

The cup is cylindrical in shape and it is full to the top.

The height of the cup is 15 cm and its diameter is 8 cm (radius = 4 cm).

The volume of a cylinder is given as:

V = \pi r^2h

where r = radius

h = height

The volume of the liquid in the cup is:

V = \pi * 15^2 * 4

V = 2827.43 cubic centimetre ≅ 2827 cubic centimetre

3 0
3 years ago
Where does 0.16 belong on the Venn diagram
sergejj [24]

Answer:

Rational numbers

Step-by-step explanation:

This is because you can write it as a fraction, percentage, and it stops at some point.

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3 years ago
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Answer:

5

Step-by-step explanation:

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