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Harrizon [31]
3 years ago
10

Identify the correct slope and y intercept of the equation 2x + 4y = 12.

Mathematics
1 answer:
sertanlavr [38]3 years ago
7 0

The standard form of a line is an easy way to solve for the properties of a line, such as slope and the intercepts. Take a line with the equation in standard form,

Ax + By = C

The slope here is given by y = -A/B.
The x-intercept here is given by (C/A, 0).
The y-intercept here is given by (0, C/B).

For this problem, the equation is 2x + 4y = 12. Thus,
slope = -2/4 = -1/2
y-intercept = (0, 12/4) = (0, 3)


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Exact Form:

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x  =  3  1/3

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Cory, Josh and Dan went shopping for Halloween treats. Cory bought 3 chocolate pumpkins, 4 masks and 8 candy witches. He spent $
bija089 [108]

Answer:

The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62

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Let x represent the cost of chocolate pumpkins, y the cost of masks and z the cost of candy witches.

Cory shopping can be represented as:

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Josh shopping can be represented as:

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Dan shopping can be represented as:

8x + 3y + 25z = 72.87    (3)

The equations in matrix form is:

\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}3&4&8\\6&2&14\\8&3&25\end{array}\right] ^{-1}\left[\begin{array}{c}41.63\\45.52\\72.87\end{array}\right] \\\\\\\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{c}1.89\\5.75\\1.62\end{array}\right]

The cost of chocolate pumpkins is $1.89, masks cost $5.75 and candy witches cost $1.62

7 0
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