3 years ago

Explain how you used the bar model and exercise to to solve the problem

Mathematics

1 answer:

MariettaO [177]3 years ago

8 0

You need to show us the bar model

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3 years ago

What is the vertex of g(x) = -3x2 + 18x + 2? (3, -25) (-3, -25) O (3, 29) (-3, 29)

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Answer:

(3,29)

Step-by-step explanation:

=-3(x2-6x)+2

=-3(x2-6x+9)+2+27

=-3(x-3)2+29,so the vertex will be (3,29)

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Write a polynomial function of minimum degree in standard form with real coefficients whose zeros and their multiplicities inclu

Softa [21]

Answer-

The polynomial function is,

$y=x^4-10x^3+38x^2-64x+40$

Solution-

The zeros of the polynomial are 2 and (3+i). Root 2 has multiplicity of 2 and (3+i) has multiplicity of 1

The general form of the equation will be,

$\Rightarrow y=(x-(2))^2(x-(3+i))(x-(3-i))$ ( ∵ (3-i) is the conjugate of (3+i) )

$\Rightarrow y=(x-2)^2(x-3-i)(x-3+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)-i)((x-3)+i)$

$\Rightarrow y=(x^2-4x+4)((x-3)^2-i^2)$

$\Rightarrow y=(x^2-4x+4)((x^2-6x+9)+1)$

$\Rightarrow y=(x^2-4x+4)(x^2-6x+10)$

$\Rightarrow y=x^2x^2-6x^2x+10x^2-4x^2x+4\cdot \:6xx-4\cdot \:10x+4x^2-4\cdot \:6x+4\cdot \:10$

$\Rightarrow y=x^4-10x^3+14x^2+24x^2-40x-24x+40$

$\Rightarrow y=x^4-10x^3+38x^2-64x+40$

Therefore, this is the required polynomial function.

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3 years ago

David can type 90 words a minute. How many words can be typed in 9.5 minutes?

artcher [175]

Answer:

855

Step-by-step explanation:

90x9.5=855

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2 years ago

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