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x
3
6
9
12

y
12
10
8
6

\begin{tabular}{|c|c|c|c|c|} $\newline$ \hline $x$ & $3$ & $6$ & $9$ & $12$ \\ $\newline$ \hline $y$ & $12$ & $10$ & $8$ & $6$ \\ $\newline$ \hline $\newline$ \end{tabular}

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Multiply two matrices

Full solution

Q. \begin{tabular}{|c|c|c|c|c|}

\newline

\hline

x

&

3

&

6

&

9

&

12

\\

\newline

\hline

y

&

12

&

10

&

8

&

6

\\

\newline

\hline

\newline

\end{tabular}

Check Pattern: Check if there's a pattern between $x$ and $y$ values. $\newline$ $x$ : $3$ , $6$ , $9$ , $12$ $\newline$ $y$ : $12$ , $10$ , $y$ $0$ , $6$ $\newline$ Looks like as $x$ increases, $y$ decreases.
Find Differences: Let's find the difference between consecutive $y$ values. $y_2 - y_1 = 10 - 12 = -2$ $y_3 - y_2 = 8 - 10 = -2$ $y_4 - y_3 = 6 - 8 = -2$ The difference is constant, so it might be a linear relationship.
Constant Relationship: Now, let's find the difference between consecutive $x$ values. $x_2 - x_1 = 6 - 3 = 3$ $x_3 - x_2 = 9 - 6 = 3$ $x_4 - x_3 = 12 - 9 = 3$ The difference is also constant.
Calculate Slope: Try to find the slope $m$ of the line that represents the relationship. $m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2}{3}$ So, the slope is $-\frac{2}{3}$ .
Find Y-Intercept: Use the slope and one point to find the y-intercept $b$ of the line. $\newline$ Let's use point $(3, 12)$ . $\newline$ $y = mx + b$ $\newline$ $12 = (-2/3)\times 3 + b$ $\newline$ $12 = -2 + b$ $\newline$ $b = 12 + 2$ $\newline$ $b = 14$
Write Equation: Write the equation of the line using the slope and y-intercept. $\newline$ $y = mx + b$ $\newline$ $y = -\frac{2}{3}x + 14$

More problems from Multiply two matrices

Question

Consider this matrix transformation:

\newline

\left[\begin{array}{ll} -3 & 4 \\ & \\ -3 & 2 \end{array}\right]

\newline

What is the image of

\left[\begin{array}{c}-2 \\ 2\end{array}\right]

under this transformation?

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Consider this matrix transformation:

\newline

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

\newline

What is the image of

\left[\begin{array}{l}2 \\ 3\end{array}\right]

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Question

Consider this matrix transformation:

\newline

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

\newline

What is the image of

\left[\begin{array}{l}-1 \\ -2\end{array}\right]

under this transformation?

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Question

Consider this matrix transformation:

\newline

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

\newline

What is the image of

\left[\begin{array}{c}3 \\ -1\end{array}\right]

under this transformation?

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Question

Consider this matrix transformation:

\newline

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

\newline

What is the image of

\left[\begin{array}{c}3 \\ -2\end{array}\right]

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Question

Consider this matrix transformation:

\newline

\left[\begin{array}{ccc} -1 & 1 & 3 \\ 0 & 0 & 3 \\ -1 & 0 & 3 \end{array}\right]

\newline

What is the image of

\left[\begin{array}{c} 2 \\ 5 \\ 3 \end{array}\right]

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Question

True or False. Determine whether the statement is correct.

\{x\mid x \geq 5\}

8

can be a value for

x

\newline

\newline

Posted 2 months ago

Question

True or False. Determine whether the statement is correct. ＂

X

is greater than or equal to

9

can be represented

x \leq 9

\newline

\newline

\newline

4

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Question

3+3+6+8

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Question

\newline

\triangle ABC

\newline

AC=8

AB=\sqrt{41}

BC

\newline

AG=5

D

\newline

AC

上的动点, 在

\newline

BC

\newline

CE=AD

\newline

AE,BD

\newline

AC=8

0

的最小值为

\newline

AC=8

1

Posted 1 month ago