All categories

2 years ago

Given matrices A and B shown below, find (3)A+(8)B.

Mathematics

1 answer:

Tasya [4]2 years ago

5 0

Answer:

$\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]$

Step-by-step explanation:

$\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right]$

You might be interested in

I REALLY NEED HELP PLEASE!!

disa [49]

part A)

$\bf \begin{array}{ccllll}
hours(x)&velocity(y)\\
-----&-----\\
1&6\\
3&2
\end{array}\\\\
-------------------------------\\\\$

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 1}}\quad ,&{{ 6}})\quad 
% (c,d)
&({{ 3}}\quad ,&{{ 2}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{2-6}{3-1}\implies \cfrac{-4}{2}\implies -2$

$\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\implies y-6=-2(x-1)\\
\left. \qquad \right. \uparrow\\
\textit{point-slope form}
\\\\\\
y-6=-2x+2\implies y=-2x+2+6\implies \boxed{y=-2x+8}$

part B)

well, we know y = -2x+8.... so.. what's the runner's velocity after 5hours? well, x = 5, thus y = -2(5) +8 ---> y = -2

to graph it, well, is a LINEar equation, meaning the graph is a LINE, and to graph a line, all you need is two points, and by now, you have more than two.. so graph it away.

7 0

3 years ago

Medical students compared two types of knee surgery to determine if patients were able to return to their active lifestyles. The

sweet [91]

Answer:

Option A

Step-by-step explanation:

The response variable is the dependent variable whose variation depends on other variables and in this case it is the type of surgery either total knee replacement or partial knee replacement.

While the explanatory variable which is the independent variable manipulated by the researcher for the given experimental study is the amount of activity the patients were able to do after their respective surgeries.

5 0

2 years ago

Use determinants to find out if the matrix is invertible.

wariber [46]

Answer:

The matrix is not invertible.

Step-by-step explanation:

We are given the following matrix in the question:

$A =\left[\begin{array}{ccc}-5&0&1\\-1&3&2\\0&10&6\end{array}\right]$

Condition for invertible matrix:

A matrix is invertible if and only if the the determinant is non-zero.

We can find the determinant of the matrix as:

$|A| = -5[(3)(6)-(2)(10)]-0[(-1)(6)-(2)(0)] + 1[(-1)(10)-(3)(0)]\\|A| = -5(18-20)+(-10)\\|A| = 10-10\\|A| = 0$

Since the determinant of the given matrix is zero, the given matrix is not invertible.

5 0

2 years ago

What kind of transformation converts the graph of f(x) = 5x - 2 into the graph of g(x) = x -2

malfutka [58]

Answer:

Vertical compression

Step-by-step explanation:

To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.

5 0

2 years ago

A rectangular picture frame has a width of 9 cm and a length of x cm.

Fantom [35]

Answer:

x+9

Step-by-step explanation:

the perimeter of any polygon is the sum of all the sides

7 0

2 years ago