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Goshia [24]
3 years ago
10

PLEASE HELP ASAP THANK YOU

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0
<span>Simplifying 2x + 18y = 36 Solving 2x + 18y = 36 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18y' to each side of the equation. 2x + 18y + -18y = 36 + -18y Combine like terms: 18y + -18y = 0 2x + 0 = 36 + -18y 2x = 36 + -18y Divide each side by '2'. x = 18 + -9y Simplifying x = 18 + -9y</span>
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Let us model this problem with a polynomial function.

Let x =  day number (1,2,3,4, ...)
Let y = number of creatures colled on day x.

Because we have 5 data points, we shall use a 4th order polynomial of the form
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Substitute x=1,2, ..., 5 into y(x) to obtain the matrix equation
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| 2⁴  2³  2²  2¹  2⁰  |  | a₂ |      | 26 |
| 3⁴  3³  3²  3¹  3⁰   |  | a₃ |  =  | 61 |
| 4⁴  4³  4²  4¹  4⁰   |  | a₄ |      | 65 |
| 5⁴  5³  5²  5¹  5⁰  |  | a₅ |      | 56 |

When this matrix equation is solved in the calculator, we obtain
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a₂ =  -55.3333
a₃ =  253.3333
a₄ =  -451.1667
a₅ =   291.0000

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The average for 5 days is (42+26+61+65+56)/5 = 50.
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Now predict values for days 5,7,8.
y(6) = 152
y(7) = 571
y(8) = 1631


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