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nika2105 [10]
3 years ago
6

For which of the following situations would a linear function be a reasonable choice for a mathematical model?

Mathematics
2 answers:
Harman [31]3 years ago
5 0

The third option is the best option.

Airida [17]3 years ago
4 0
The third option is the best fit for the application of a linear model.

In the first option, there is likely to be a correlation but it cannot be a linear one as goals are missed even from inside the keeper's box.

In the second option, it is safe to assume that each person will at least 2 other so this will follow an exponential model.

In the third option, the stopping distance is given by the equation of motion:
s = ut + 1/2 x at²
And this shows that the distance varies linearly with speed.
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AysviL [449]
The correct option is (A) x^6 + x^5 - 2x^4  - 2x^3 + 3x^2 + 6x - 9 

Explanation:
The product of two polynomials:
(x^3 + x^2  -3)(x^3 - 2x + 3)

Row1:   x^6       x^5      -3x^3
Row2: -2x^4   -2x^3      6x
Row3:  3x^3     3x^2      -9

Add all of the above rows:
x^6 + x^5 - 3x^3 -2x^4 - 2x^3 + 6x + 3x^3 + 3x^2 -9

x^6 + x^5 - 2x^4  - 2x^3 + 3x^2 + 6x - 9 (Option A)
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