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yuradex [85]
4 years ago
15

If 3x+y=4 then what is the value of 1/y

Mathematics
1 answer:
LUCKY_DIMON [66]4 years ago
8 0

Answer this in 2 steps:

1) Solve 3x+y=4 for y:  3x+y=4 becomes 3x-3x+y=4-3x, or y = -3x + 4.

                                                                          1

2) Find the reciprocal of this result:  1/y = --------------

                                                                      -3x + 4

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3 years ago
A= [1, 3; 2, 1], B=[3, 6; -1, 1]. Find AB & BA if possible
steposvetlana [31]

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AB\Rightarrow \quad \begin{bmatrix}0 & 9\\ 5 & 13\end{bmatrix}\\BA\Rightarrow \quad \begin{bmatrix}15 & 15\\ 1 & -2\end{bmatrix}

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Since A is a 2×2 matrix and B is also a 2×2 matrix

Thus both AB and BA are possible.

So AB is:

AB\Rightarrow\begin{bmatrix}1 & 3\\ 2 & 1\end{bmatrix}\begin{bmatrix}3 & 6\\ -1 & 1\end{bmatrix}\\AB\Rightarrow\quad \begin{bmatrix}3\times 1+3\times (-1) & 6\times 1+3\times 1\\3\times 2+1\times (-1) & 6\times 2+1\times 1\end{bmatrix}\\AB\Rightarrow \quad \begin{bmatrix}0 & 9\\ 5 & 13\end{bmatrix}

BA is:

BA\Rightarrow\begin{bmatrix}3 & 6\\ -1 & 1\end{bmatrix}\begin{bmatrix}1 & 3\\ 2 & 1\end{bmatrix}\\BA\Rightarrow\quad \begin{bmatrix}3\times 1+6\times 2 & 3\times 3+6\times 1\\(-1)\times 1+1\times 2 & (-1)\times 3+1\times 1\end{bmatrix}\\BA\Rightarrow \quad \begin{bmatrix}15 & 15\\ 1 & -2\end{bmatrix}

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4 years ago
Winston earns $140.00 by selling 56 hot dogs at a concession stand at school. Using the same rate for the cost of one hot dog, h
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Step by step explanation

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To find the number of hot dogs =total cost so the cost of one hotdog is =175/2.5=70

So the numbers of hot dogs he had to sell more of =70-56=14
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