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-BARSIC- [3]
3 years ago
7

Is -i√3 a fourth root of 81?

Mathematics
2 answers:
m_a_m_a [10]3 years ago
5 0

Answer: Yes


But forth power, not root.  Root only works for square root.


vampirchik [111]3 years ago
4 0
YES! But it’s fourth square not root!
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Step-by-step explanation:

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In major league soccer, standings are determined by points. Three points are awarded for each win, 1 point is awarded for each t
Vlada [557]

Answer:

They won 17 games and drew 4 games

Step-by-step explanation:

The given parameters are;

The number of points the major league soccer team finished with = 55 points

The number of games the soccer team played = 28 games

The number of losses the soccer team had = 7 losses

The number of points awarded for each win = 3 points

The number of points awarded for each tie = 1 points

The number of points awarded for each loss = 0 points

Let x represent the number of wins, y represent the number of draws, and let z represent the number losses

Therefore;

z = 7

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3·x + y + 7×0 = 55

Therefore, we have the following system of equations;

x + y = 21...(1)

3·x + y = 55...(2)

Which gives;

\begin{bmatrix}1 & 1\\ 3 & 1\end{bmatrix} \begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}21 \\ 55\end{bmatrix}

The inverse of the matrix is given as follows;

\dfrac{1}{1 - 3}  \times \begin{bmatrix}1 & -3\\ -1 & 1\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix}

Therefore;

\begin{bmatrix}x \\ y\end{bmatrix} = \begin{bmatrix}-0.5 & 0.5\\ 1.5 & -0.5\end{bmatrix}  \times  \begin{bmatrix}21 \\ 55\end{bmatrix}  =  \begin{bmatrix}17 \\ 4\end{bmatrix}

x = 17, y = 4

3 0
3 years ago
A science teacher wants to prepare a resource pack for each of the 120 pupils in year 10. She will need to photocopy 40 pages pe
Tresset [83]

Answer:

She would save £5

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→ £180 is the total cost and now we minus that from the online price of £175

£180 - £175 = £5

6 0
3 years ago
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