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3 years ago

3. A charity had a stall at a fair selling crafts and cakes to raise money.

Mathematics

1 answer:

AveGali [126]3 years ago

3 0

15% of £70= £10.5

Expenditure =£24+£10.5=£34.5

Net amount raised =gross amount - Expenditure

=£70-£34.5=£35.5

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Step-by-step explanation:

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Find a matrix representation of the transformation L(x, y) = (3x + 4y, x − 2y).

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$\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}3&1\\4&-2\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

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The general matrix representation for this transformation would be:

$\left[\begin{array}{cc}x&y\end{array}\right] * A = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

As the matrix A should have the same amount of rows as columns in the firs matrix and the same amount of columns as the result matrix it should be a 2x2 matrix.

$\left[\begin{array}{cc}x&y\end{array}\right] * \left[\begin{array}{cc}a&b\\c&d\end{array}\right] = \left[\begin{array}{cc}3x+4y&x-2y\end{array}\right]$

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$\left[\begin{array}{cc}3&1\\4&-2\end{array}\right]$

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