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fiasKO [112]
3 years ago
14

4. What is the y-intercept of the line

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
8 0

Answer:

A) (0,0)

Step-by-step explanation:

Plug in 0 for x to solve for y. y=4(0).

4(0)=0, so y=0.

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30 POINTS! Consider the system of linear equations and the matrix equations below.
fiasKO [112]

Answer:

Option C is correct.

Step-by-step explanation:

-x+3y=2

4x-2y=22

In matrix form is represented as:

\left[\begin{array}{cc}-1&3\\4&-2\end{array}\right] \left[\begin{array}{c}x&y\end{array}\right] =\left[\begin{array}{c}2&22\end{array}\right]

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

A^-1 = -1/10\left[\begin{array}{cc}-2&-3\\-4&-1\end{array}\right]

A^-1 = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]

X= A^-1 B

X = 1/10\left[\begin{array}{cc}2&3\\4&1\end{array}\right]\left[\begin{array}{c}2&22\end{array}\right]

X=1/10X=1/10\left[\begin{array}{c}2*2+3*22\\4*2+1*22\end{array}\right]\\X=1/10\left[\begin{array}{c}4+66\\8+22\end{array}\right]\\X=1/10\left[\begin{array}{c}70\\30\end{array}\right]\\X=\left[\begin{array}{c}70/10\\30/10\end{array}\right]\\X=\left[\begin{array}{c}7\\3\end{array}\right]

So, x = 7 and y =3

Hence Option C is correct.

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