2 years ago

35.1 divided by 2.7 explanation to

Mathematics

2 answers:

Radda [10]2 years ago

8 0

Answer:

Step-by-step explanation:

LenKa [72]2 years ago

3 0

13 I can’t really do I explanation cause I worked it out

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The polynomial of degree 3, P(x), has a root of. multiplicity 2 at x=1 and a roof of multiplicity 1 at x= -3. the y- intercept i

Stella [2.4K]

$P(x)$ has degree 3, so it takes the general form

$P(x)=ax^3+bx^2+cx+d$

It has a root $x=1$ of multiplicity 2, which means $(x-1)^2$ divides $P(x)$ exactly, and it has a root of $x=-3$ of multiplicity 1 so that $x+3$ also is a factor. So

$P(x)=a(x-1)^2(x+3)$

Expanding this gives

$P(x)=a(x^3+x^2-5x+3)=ax^3+ax^2-5ax+3a$

$\implies\begin{cases}a=b\\-5a=c\\3a=d\end{cases}$

The $y$ -intercept occurs for $x=0$ , for which we have

$P(0)=d=2.1$

Then

$3a=d\implies a=0.7$

$a=b\implies b=0.7$

$-5a=c\implies c=-0.14$

So we have

$\boxed{P(x)=0.7x^3+0.7x^2-0.14x+2.1}$

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3 years ago

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What is the sum of (4x2 – 10x + 3) and (-6x2 + 10x + 12)

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Answer:

-2x² + 15

Step-by-step explanation:

Step 1: Add like terms

4x² - 6x² = -2x²

-10x + 10x = 0

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Step 2: Rewrite

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A molasses can is made with a cylindrical base having a radius of 6 cm, that is topped by a smaller cylindrical pouring spout wi

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