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Novay_Z [31]
2 years ago
6

Select the correct answer.

Mathematics
1 answer:
Scilla [17]2 years ago
6 0

The matrix equation that could show the total books is \left[\begin{array}{cc}7&1\\2&6\end{array}\right]  + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]

<h3>How to determine the matrix equation?</h3>

The given parameters are the two-way tables attached to the question.

From the tables, we have the following matrices

June = \left[\begin{array}{cc}7&1\\2&6\end{array}\right]

July = \left[\begin{array}{cc}4&3\\6&1\end{array}\right]

The sum of these matrices is represented as:

June + July =  Total

So, we have:

\left[\begin{array}{cc}7&1\\2&6\end{array}\right]  + \left[\begin{array}{cc}4&3\\6&1\end{array}\right]

Add the elements at corresponding positions

\left[\begin{array}{cc}11&4\\8&7\end{array}\right]

Hence, the matrix equation is \left[\begin{array}{cc}7&1\\2&6\end{array}\right]  + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]

Read more about matrix at:

brainly.com/question/1279486

#SPJ1

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Need help!! What is the slope of the line through (2,-2) and (9,3)?
In-s [12.5K]

Finding the slope using two points:

The formula for slope is

\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

In this case...

y_{2} =3\\y_{1} =-2\\x_{2} =9\\x_{1} =2

^^^Plug these numbers into the formula for slope...

\frac{3 - (-2) }{9 - 2}

A) \frac{5}{7}

^^^This is your slope

Hope this helped!

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6 0
2 years ago
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Solve the following equation |2x+3|+|x-2|=6x
docker41 [41]

Answer:

it were help you

thank you for ask me

4 0
3 years ago
How many rows are needed to seat all students. When there are 846 students and each row holds 18 people
lubasha [3.4K]

Answer:

47 rows

Step-by-step explanation:

To find the amount of needed rows, we will use the math operation division. We will take the total and divide it by the amount in each row.

846/18=47

To seat 18 people in each row, you will need 47 rows.

6 0
3 years ago
Find the equation of the line that passes through (0, -3) and is parallel to
Tresset [83]

Hey there!

\\

  • Answer:

\green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

  • Explanation:

To find the equation of a line, we first have to determine its slope knowing that parallel lines have the same slope.

Let the line that we are trying to determine its equation be \: \sf{d_1} \: and the line that is parallel to \: \sf{d_1} \: be \: \sf{d_2} \: .

\sf{d_2} \: passes through the points (9 , 2) and (3 , -5) which means that we can find its slope using the slope formula:

\sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{y_2} - \orange{y_1}}{\red{x_2} - \blue{x_1 }}}

\\

⇒Subtitute the values :

\sf{(\overbrace{\blue{9}}^{\blue{x_1}}\: , \: \overbrace{\orange{2}}^{\orange{y_1}}) \: \: and \: \: (\overbrace{\red{3}}^{\red{x_2}} \: , \: \overbrace{\green{-5}}^{\green{y_2}} )}

\implies \sf{m = \dfrac{\Delta y}{\Delta x} = \dfrac{\green{-5} - \orange{2}}{\red{ \: \: 3} - \blue{9 }} = \dfrac{ - 7}{ - 6} = \boxed{ \bold{\dfrac{7}{6} }}}

\sf{\bold{The \: slope \: of \: both \: lines \: is \: \dfrac{7}{6}}}.

Assuming that we want to get the equation in Slope-Intercept Form, let's substitute m = 7/6:

Slope-Intercept Form:

\sf{y = mx + b} \\ \sf{Where \: m \: is \: the \: slope \: of \:  the \: line \: and \: b \: is \: the \: y-intercept.}

\implies \sf{y = \bold{\dfrac{7}{6}}x + b} \\

We know that the coordinates of the point (0 , -3) verify the equation since it is on the line \: \sf{d_1} \:. Now, replace y with -3 and x with 0:

\implies \sf{\overbrace{-3}^{y} = \dfrac{7}{8} \times \overbrace{0}^{x} + b} \\ \\ \implies \sf{-3 = 0 + b} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \implies \sf{\boxed{\bold{b = -3}} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:

Therefore, the equation of the line \: \bold{d_1} \: is \green{\boxed{\red{\bold{\sf{y = \dfrac{7}{6}x - 3}}}}}

\\

▪️Learn more about finding the equation of a line that is parallel to another one here:

↣brainly.com/question/27497166

8 0
1 year ago
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 7 to 4. If there were 4
Elena-2011 [213]

Answer:

2628

Step-by-step explanation:

7/4 = 1.75 = 175%

x is the number of no votes

4599/x = 7/4

x = 4599/(7/4)

x = 2628

5 0
2 years ago
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