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Hatshy [7]
3 years ago
5

Solve the system of equations using matrices. x+7y=02x−8y=22 Question 7 (Mandatory) (1 point) Step 1. Find the coefficient matri

x. A=[blank 1blank 3blank 2blank 4]
Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer:

x=7

y =-1

Step-by-step explanation:

Given is a system of equations in x and y as

x+7y=0\\2x-8y =22

This can be written in matrix form as

Ax = B

\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}0\\22\end{array}\right]

Let us find inverse of A

|A| = -8-14 =-22

A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]

X= A ^(-1) B

x=7, y =-1

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Answer:

A. 1/5k - 2/3j and -2/3j +1/5k

Step-by-step explanation:

A. 1/5k - 2/3j and -2/3j +1/5k

B. 1/5k - 2/3j and -1/5k +2/3j

There is a change in the signs of each term

1/5k changed to -1/5k

-2/3j changed to +2/3j

Not equivalent

C. 1/5k - 2/3j and 1/5j - 2/3k

There is a change in the variables

1/5k changed to 1/5j

-2/3j changed to -2/3k

D. 1/5k - 2/3j and 2/3j - 1/5k

The is a change in the signs of each term

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-2/3j changed to +2/3j

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A. 1/5k - 2/3j and -2/3j +1/5k

3 0
3 years ago
The area of a rectangle is 36 square centimeters and its length is 9 centimeters
Andrei [34K]
A) 4 cm
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8 0
3 years ago
In an effort to determine whether any correlation exists between the price of stocks of airlines, an analyst sampled six days of
vovikov84 [41]

Answer:

Check the explanation

Step-by-step explanation:

Following table shows the calculations:

Delta, X      Southwest , Y            X^2              Y^2                      XY

45.96               38.76               2112.3216     1502.3376          1781.4096

46.8                 45.41                2190.24         2062.0681        2125.188

47.93                15.7                 2297.2849      246.49            752.501

51.78                49.58              2681.1684      2458.1764        2567.2524

52.17                44.34              2721.7089      1966.0356        2313.2178

47.36                18                   2242.9696            324               852.48

Total 292       211.79               14245.6934      8559.1077      10392.0488

Sample size: n =6

Now

S_{yy}=\sum y^{2}-\frac{\left (\sum y \right )^{2}}{n}=1083.27

S_{xx}=\sum x^{2}-\frac{\left (\sum x \right )^{2}}{n}=35.03

S_{xy}=\sum xy-\frac{\left (\sum x \right )\left (\sum y \right )}{n}=84.94

The coefficient of correlation is :

r=\frac{S_{xy}}{\sqrt{S_{xx}S_{yy}}}=0.436

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The answers would be 11, if you plug it in it would be 5(11)-7=48
3 0
3 years ago
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