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zalisa [80]
2 years ago
11

Select the correct answer. If , which statement is true? if g(x) = f(1/3x)

Mathematics
1 answer:
sergey [27]2 years ago
6 0

Answer:

B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.

Step-by-step explanation:

The rules for linear transformations are that

 g(x) = a·f(b·(x-c)) +d

stretches the graph vertically by a factor of "a" (before the shift)

compresses the graph horizontally by a factor of "b" (before the shift)

shifts it to the right by amount "c"

shifts it up by amount "d".

Your equation has b=1/3, so the graph is compressed by a factor of 1/3, which is equivalent to a stretch by a factor of 3.

The appropriate choice of description is ...

 b) the graph of g(x) is horizontally stretched by a factor of 3

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Answer:

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Step-by-step explanation:

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<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

  • π = 3
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To find the volume we apply the following formula:

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We substitute our data in the formula and solve:

Substituting values into the equation

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Calculate exponent cubed

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Multiplying

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Anni [7]

Answer: \frac{1}{10}

Step-by-step explanation:

First, we need to find the common denominator

The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.

2 × 5 = 10

So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:

\frac{3*2}{5*2} = \frac{6}{10}         We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.

Do the same thing for the other one:

\frac{1*5}{2*5} = \frac{5}{10}

Finally, subtract the two fractions to find the difference between the two times:

\frac{6}{10} -\frac{5}{10} = \frac{1}{10}

The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.

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