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 $\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]$

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3 years ago

Which graph best represents the function f(x)=2x ?

yan [13]

Answer:

Step-by-step explanation:

The best - well, only way- is to check a few points.

Namely -1 (unless your eyesight is really poor!), 0, 1, 2, and 3.

$f(x) = 2^x\\f(-1) = 2^-^1 = \frac12\\f(0) =2^0 =1\\f(1)= 2^1=2\\f(2)=2^2=4\\f(3)=2^3= 8$

Now you can mark all these points in each graph (well, you could if they were on paper and not on a screen) and see which one of the lines passes through all of them. Spoiler alert, it's the B graph.

A represents $2(2^x) = 2^{x+1}$ , B is the one you want, C is $\frac{2^x}2 = 2^{x-1}$ and D looks like $4^x = 2^2^x$