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lora16 [44]
3 years ago
7

Find the Least Common Multiple (LCM) of (9, 12, 15) by common multiple method.

Mathematics
1 answer:
jasenka [17]3 years ago
7 0

Answer:

the LCM is 180

<h3>Step by step explanation:</h3>

2 9, 12, 15

2 9, 6, 15

3 9, 3, 15

3 3, 1, 5

5 1, 1, 5

1, 1, 1

2×2×3×3×5=180

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Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series expansion. Do not show that
kherson [118]

Answer:

The answer is

f(x) = {\displaystyle  8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }

Step-by-step explanation:

Remember that Taylor says that

f(x) = {\displaystyle \sum\limits_{k=0}^{\infty} \frac{f^{(k)}(a) }{k!}(x-a)^k }

For this case

f^{(0)} (-2) = 8(-2)-3(-2)^3 = 8\\f^{(1)} (-2) = 8-3(3)(-2)^2 = -28\\f^{(2)} (-2) = -3(3)2(-2) = -36\\f^{(2)} (-2) = -3(3)2 = -18

f(x) = {\displaystyle  8 + \frac{-28}{1}(x+2)+\frac{-36}{2!}(x+2)^2 + \frac{-18}{3!}(x+2)^2 }

5 0
3 years ago
Comeplete the following :<br> Rx0 Do2 : (2,4) -&gt; (-4, 8) (4, -8) (-4, -8)
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Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

<h3>What is a transformation?</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are <em>reflection, translation, rotation and dilation.</em>

Translation is the movement of a point either<em> up, down, left or right</em> on the coordinate plane.

Point (2, 4) was reflected over the x axis to give (2, -4). It was then dilated by a scale factor of 2 to get (4, -8). Hence (2, 4) ⇒ (4, -8)

Find out more on transformation at: brainly.com/question/4289712

#SPJ1

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Step-by-step explanation:

Only x-intercepts will make the line horizontally and x = 2 is the line that passes through the point (2, 10)
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