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almond37 [142]
3 years ago
5

the difference between two numbers is 31. Four times the smaller is equal to 8 more than the larger. What are the numbers?

Mathematics
1 answer:
stepladder [879]3 years ago
5 0
I would more detail so I can better answer your question for you

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Step-by-step explanation:

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How do you write a polynomial function for this graph?
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first off, let's notice the graph touches the x-axis at -1 and 3, namely, those are the zeros/solutions/roots of the polynomial and therefore, the factors come from those points.

now, at -1, the graph doesn't cross the x-axis, instead it <u>simply bounces off</u> of it, that means the zero of x = -1, has an even multiplicity, could be 4 or 2 or 6, but let's go with 2.

at x = 3, the graph does cross the x-axis, meaning it has an odd multiplicity, could be 3 or 1, or 7 or 9, but let's use 1.


\bf \begin{cases} x=-1\implies &x+1=0\\ x=3\implies &x-3=0 \end{cases}~\hspace{5em}\stackrel{\textit{even multiplicity}}{(x+1)^2}\qquad \stackrel{\textit{odd multiplicity}}{(x-3)^1}=\stackrel{y}{0} \\\\\\ (x^2+2x+1)(x-3)=y\implies x^3+2x^2+x-3x^2-6x-3=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x^3-x^2-5x-3=y~\hfill

5 0
3 years ago
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Step-by-step explanation:

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(may I ask why exactly this is put as a college level problem?)

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Step-by-step explanation:

It could be rounded to $1.90.

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