All categories

3 years ago

I NEED HELP PLEASE, THANKS! :)

Mathematics

1 answer:

kompoz [17]3 years ago

8 0

Answer: C

Step-by-step explanation:

Use the multiplication rule for matrices - Multiply 1st row of first matrix with 1st column of second matrix and find their sum. Repeat for each row and column.

A x B

$\left[\begin{array}{cc}1&5\\-3&4\end{array}\right] \times \left[\begin{array}{cc}2&6\\6&-1\end{array}\right]=\left[\begin{array}{cc}1(2)+5(6)&1(6)+5(-1)\\-3(2)+4(6)&-3(6)+4(-1)\end{array}\right]\\\\\\.\qquad \qquad \qquad \qquad \qquad \quad =\left[\begin{array}{cc}32&1\\18&-22\end{array}\right]$

You might be interested in

Write the rate as a unit rate: 400 miles in 8 hours

nikdorinn [45]

Answer:

50miles/hour

Step-by-step explanation:

400/8 is 50.

4 0

3 years ago

Select all the correct answers.

irina1246 [14]

Operations that can be applied to a matrix in the process of Gauss Jordan elimination are :

replacing the row with twice that row

replacing a row with the sum of that row and another row

swapping rows

Step-by-step explanation:

Gauss-Jordan Elimination is a matrix based way used to solve linear equations or to find inverse of a matrix.

The elimentary row(or column) operations that can be used are:

1. Swap any two rows(or colums)

2. Add or subtract scalar multiple of one row(column) to another row(column)

as is done in replacing a row with sum of that row and another row.

3. Multiply any row (or column) entirely by a non zero scalar as is done in replacing the row with twice the row, here scalar used = 2

6 0

3 years ago

Find all solutions of the given system of equations and check your answer graphically. hint [see examples 1-4.] (if there is no

zlopas [31]

x − y = 0 = difference

x + y = 4 = sum

Can be solved by the sum and difference rule (most of the time without pen and paper)

x=(sum+difference)/2=0+4/2=2

y=(sum-difference)/2=(4-0)/2=2

6 0

3 years ago

3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this

dlinn [17]

Answer:

$420.25

Step-by-step explanation:

Total earnings of the week

$= 400 + 3 \% \: of \:675 \\ \\ = 400 + 0.03 \times 675 \\ \\ = 400 + 20.25 \\ \\ = \$ 420.25$

6 0

3 years ago

iren [92.7K]

Answer:

Part A: The price of fuel A is decreasing by 12% per month.

Part B: Fuel A recorded a greater percentage change in price over the previous month.

Explanation:

Part A:

The function $f(x)=2.27(0.88)^x$ calculates the price of fuel A each month by multiplying the price of the month before by 0.88.

Month price, f(x)

1 2.27 (0.88) = 1.9976 ≈ 2.00

2 2.27(0.88)² = 1.59808 ≈ 1.60

3 2.27(0.88)³ = 1.46063 ≈ 1.46

Then, the price of fuel A is decreasing.

The percentage per month is (1 - 0.88) × 100 = 12%, i.e. the price decreasing by 12% per month.

Part B.

Table:

m price, g(m)

1 3.44

2 3.30

3 3.17

4 3.04

To find if the function decreases with a constant ration divide each pair con consecutive prices:

ratio = 3.30 / 3. 44 = 0.959 ≈ 0.96

ratio = 3.17 / 3.30 = 0.960 ≈ 0.96

ratio = 3.04 / 3.17 = 0.959 ≈ 0.96

Thus, the price of fuel B is decreasing by (1 - 0.96) × 100 =4%.

Hence, the fuel A recorded a greater percentage change in price over the previous month.

5 0

3 years ago