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3 years ago

10

you spend $90 on books and movies. You pay $12 per book and $15 pr movie. YOu buy 3 more books than movies. How many of each ite

m do you buy?

1 answer:

Leya [2.2K]3 years ago

8 0

You bought 5 books for $60 and 2 movies for $30

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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]

<u>Answer-</u>

<em>The polynomial function is,</em>

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

<u>Solution-</u>

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

Someone please help, is due tonight, will give brainly if helped. Thank you...

Alina [70]

Answer:

1. f & c, d & e,

2. h & a, g & b

3. h & d, f & b, g & c, a & e

here ya go, i hope this is correct if i remember right

Step-by-step explanation:

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Which of the following is a composite number?

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The answer to this question is B

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F (×)=-4×^2-3 g (×)-3×-3 Find f (4)and g(5)

Elena-2011 [213]

F(4)= -64-3=-69 g(5)= -15-3=-18

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2 years ago