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Wewaii [24]
3 years ago
7

What is the prime factorization of 81m^2 x^3? A) 9^2 • m^2 • x^3 B) 3^3 • m^2 • x^3 C) 3^3 • m • x D) 3^4 • m^2 • x^3

Mathematics
1 answer:
Diano4ka-milaya [45]3 years ago
8 0

81m^2x^3=3^4\cdot m^2\cdot x^3\to\boxed{D.}

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Softa [21]

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600

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2 years ago
Graph the following function and identify any shifts, stretches, and symmetry and x and y intercepts:
klasskru [66]

Shifts:

Shifted three units right and two units up to match the blue parabola

Stretches:

It doesn't have any stretches

Symmetry:

x=3

x and y intercepts:

x intercpets: It has no x-intercepts

y-intercepts: (0, 11)

<h2>Explanation:</h2>

The pattern of the quadratic function is:

f(x)=x^2

Whose graph is shown below as the red parabola.

So here we need to identify some characteristics of:

y = f(x) = (x - 3)^2 + 2

Whose graph is shown below as the blue parabola.

As you can see, the blue parabola is a transformation of the red parabola. The rule is as follows:

  • The red parabola has been shifted three units right and two units up to match the blue parabola.

This is so because, for any function:

y=f(x)

We have the following transformations:

y=h(x)=f(x+c)+k \\ \\ \\ \bullet \ c>0 \ Shift \ f(x) \ c \ units \ to \ the \ left \\ \\ \bullet \ c0 \ Shift \ f(x) \ k \ units \ up \\ \\ \bullet \ k

On the other hand, the blue graph has neither stretches nor x intercepts. Finally, its axes of symmetry is x=3. The y-intercept is (0, 11) is indicated in the figure.

<h2>Learn more:</h2>

Shifting graphs: brainly.com/question/10010217

#LearnWithBrainly

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2 years ago
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x = 20 m/0.9 m

x = 222.22

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So, the largest number of fence posts that can possibly be cut from the log is 222 fence posts.

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Answer:

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