All categories

3 years ago

What is the value of matrix B if A + B = C

Mathematics

2 answers:

konstantin123 [22]3 years ago

7 0

Answer:b

Step-by-step explanation:

dusya [7]3 years ago

3 0

Answer:

Step-by-step explanation:

When adding two matrices of the same dimensions we addup each two corresponding elements of these matrices:

$A+B=\left[\begin{array}{cc}8&-3\\3&y+2\end{array}\right]+\left[\begin{array}{cc}3x&z+4\\w&\frac{1}{2}y\end{array}\right]=\left[\begin{array}{cc}8+3x&-3+z+4\\3+w&y+2+\frac{1}{2}y\end{array}\right].$

When two matrices are equal, then corresponding elements are equal:

$\left\{\begin{array}{l}8+3x=x\\-3+z+4=2z\\3+w=4\\y+2+\frac{1}{2}y=y\end{array}\right.\Rightarrow \left\{\begin{array}{l}x=-4\\z=1\\w=1\\y=-4\end{array}\right.$

Hence,

$B=\left[\begin{array}{cc}-12&5\\1&-2\end{array}\right].$

You might be interested in

Find X and Y<br><br> Give work for the problem

Annette [7]

Answer:

x=2.645

y=2.645

5 0

2 years ago

The manager of a grocery store wants to determine the average amount of money spent at his store as it compares to the average d

dexar [7]

Given

Expenditures at Manager's Store; expenditures at Competitor's Store.

Find

a) average spent at each store

b) which store is better represented by the mean value

c) an explanation for the answer in ≥ 2 sentences

Solution

a) The sum of expenditures divided by the number of expenditures (15) is ...

... average for Manager's Store: $37.60

... average for Competitor's Store: $48.53

b) The expenditures at Manager's Store are well-represented by the mean (average).

c) The range of expenditures at Competitor's Store is significantly higher than at Manager's store, so a single number such as mean or median does not represent the data well. The expenditures at Manager's store are more compactly grouped around the mean and median, which are closer together, so the mean is a good representation of Manager's Store expenditures overall.

4 0

3 years ago

Adams Company revenues are $500 on invested capital of $250. Expenses are currently 60% of sales. If Angelo Company can reduce i

GarryVolchara [31]

Answer:

100%

Step-by-step explanation:

The formula to calculate the return on investment is:

ROI=(Net Profit/Total Investment)*100

Net profit=Revenues-expenses=500-(500*0.6)=500-300=200

Total investment=250-(250*0.2)=250-50=200

Now, you can replace the values:

ROI= (200/200)*100

ROI= 100%

According to this, the answer is that If Angelo Company can reduce its capital investment by 20% in Adams Company, return on investment will be 100%.

5 0

3 years ago

What is the value of 5 in 3,152,308

mariarad [96]

The value of 5 is 50,000

5 0

2 years ago

Read 2 more answers

The 13-foot string is arranged into a rectangle. Let L denote the length of the rectangle,

soldi70 [24.7K]

The expressions for the width, W, and area, A, of the rectangle in terms of L are:

W = $\frac{13}{2}$ - L
A = $\frac{13L - L^{2} }{2}$

The expression for the perimeter of a rectangle is given as:

P = 2(L + W)

where L is its length and W its width

a. Given that the perimeter of the rectangle is 13 feet, then;

13 = 2(L + W)

divide through by 2

$\frac{13}{2}$ = L + W

So that;

W = $\frac{13}{2}$ - L

The required formula for the width as a function of L is: W = $\frac{13}{2}$ - L

b. Area of a rectangle can be expressed as;

A = L * W

substitute the expression for width in that of area to have

A = L * ( $\frac{13}{2}$ - L)

= $\frac{13}{2}$ L - $L^{2}$

A = $\frac{13L - L^{2} }{2}$

The expression for the area A is: A = $\frac{13L - L^{2} }{2}$

Visit: brainly.com/question/10452031

5 0

2 years ago