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2 years ago

What are the determinants for solving this linear system? 5x + 3y = 17 −8x − 3y = 9

Mathematics

2 answers:

professor190 [17]2 years ago

6 0

On Edg it's

A= 5 3

-8 -3

Ay= 5 17

-8 9

Ax= 17 3

9 -3

Ksivusya [100]2 years ago

3 0

For this case we have the following system of equations:
5x + 3y = 17
-8x - 3y = 9
We can rewrite the system like:
Ax = b
Where,
A = [5 3; -8 -3]
b = [17; 9]
x = [x; y]
The determinant of matrix A is given by:
lAl = ((5) * (- 3)) - ((3) * (- 8))
lAl = (-15) - (-24)
lAl = -15 + 24
lAl = 9
Answer:
The determinant for solving this linear system is:
lAl = 9

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Bond [772]

Answer:

$(a)\ \bar x =20.5$

$(b)\ \sigma = 14.54$

Step-by-step explanation:

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$x: 36, 14, 21, 39, 11, 2$

Solving (a): The mean of the 6 samples.

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$\bar x = \frac{\sum x}{n}$

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$\bar x =\frac{36+ 14+ 21+ 39+ 11+ 2}{6}$

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Solving (b): The sample standard deviation.

This is calculated using:

$\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}$

So, we have:

$\sigma = \sqrt{\frac{(36 - 20.5)^2 + (14 - 20.5)^2 + (21 - 20.5)^2 + (39 - 20.5)^2 + (11 - 20.5)^2 + (2 - 20.5)^2}{6-1}}$

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3 years ago

Solve the following inequality: –1 + 6(–1 – 3x) > –39 – 2x.

tino4ka555 [31]

<span>–1 + 6(–1 – 3x) > –39 – 2x.
Multiply the number outside of the parenthesis(6) by the numbers inside of the parenthesis(-1 and -3x)
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Add 2x to both sides so that the x variable is only on one side
-1 - 6 - 16x> -39
Add 1 to both sides
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Add 6 to both sides
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Divide both sides by -16 so that the only thing that remains is the variable x on one side. Also, since you are dividing by a negative number, you automatically flip the greater than side to less than.
Final Answer: x< -2</span>

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