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dlinn [17]
3 years ago
6

The answer i'm so confused

Mathematics
1 answer:
Elena L [17]3 years ago
8 0
Slope:  rise over run, for any straight line.  Example:  y=mx + b

Constant of proportionality:  a constant by which you multiply your independent variable (x) to get a specific value of the dependent variable (y).  Example: y=kx.

The main difference here is that y=mx+b may or may not pass through the origin, whereas y=kx always passes through the origin.

Both k and m are "slopes," with k pertaining to direct variation y=kx, and m pertaining to slope of a line which may or may not pass through the origin.

In this limited sense, both k and x are slopes.  k could be the slope of a straight line passing thru the origin, same as m, but m could not be the constant of proportionality if the line in question does not pass through the origin.
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Answer:

  • Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
  • Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
  • Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.

Step-by-step explanation:

The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.

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