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amm1812
3 years ago
13

Interpreting the Multiplicity of a Zero:Determine the multiplicity of the roots of the function

Mathematics
2 answers:
olasank [31]3 years ago
8 0

For this case we have the following expression:

k (x) = x (x + 2) ^ 3 (x + 4) ^ 2 (x-5) ^ 4\\

The roots are:

x = -2\\\\x = -4\\\\x = 5\\\\x = 0\\

For example: For x = 0 we have

k (0) = 0 (0 + 2) ^ 3 (0 + 4) ^ 2 (0-5) ^ 4\\\\k (0) = 0 (2) ^ 3 (4) ^ 2 (-5) ^ 4\\\\k (0) = 0 (8) (16) (625)\\\\k (0) = 0\\

so it is shown that x = 0 is a root.

By definition, multiplicity represents the number of times a root is repeated in a polynomial, in turn it is given by the degree of the term that contains the root.

Thus:

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

The multiplicity of 5 is 4

Answer:

The multiplicity of 0 is 1

The multiplicity of -2 is 3

The multiplicity of -4 is 2

The multiplicity of 5 is 4

OlgaM077 [116]3 years ago
4 0

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Answer:

here's the solution :-

1.) =》the base of the larger triangle is the length of shadow formed by cactus .

so, length of cactus is : 33 feet.

2.) now, jn the smaller triangle formed by liam and it's shadow : -

=》

since both triangle form 90° the bases of both the larger and smaller triangles are parallel , so the base angles of larger triangle = corresponding base angles of the smaller triangle

hence, the both triangles are similar

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now since the both triangles are similar, the the sides will be proportional ,

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\frac{9}{33}  =  \frac{6}{x}

=》

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x = 22

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3 years ago
A bearing, measured at 1.234 inches with a caliper, must be replaced. Since the bearings are sized in 64ths of an inch, find the
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We have
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we know that
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therefore
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2 years ago
Talia took the bus from her home to the bank and then walked back to her home along the same route. The bus traveled at an avera
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Answer: The bus traveled at an average speed of 40 km/h and she - 2385764. ... bus from her home to the bank and then walked back to her home along the same route. ... To determine the time, x, that it took Talia to walk home, she used the equation 40(0.9 – x) = 5x. 1 ... Therefore, it took Talia 0.8 hour to walk home or 48 minutes

Step-by-step explanation:

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Step-by-step explanation:

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Solve (2^2x+1)-9(2^x)+4=0​
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<em> x₁ = - 1</em>

<em> x₂ = 2</em>

  • Step-by-step explanation:

<em>2²ˣ⁺¹ - 9ₓ2ˣ + 4 = 0</em>

<em>2²ˣₓ2 - 9ₓ2ˣ + 4 = 0</em>

<em>2ˣ = n</em>

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<em>2ˣ = 4 => 2ˣ = 2² => x₂ = 2</em>

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3 years ago
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