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3 years ago

Write the system in a matrix equation. Then, find the determinant of the matrix containing the coefficients.

Mathematics

1 answer:

Shtirlitz [24]3 years ago

5 0

Answer:

See below for the matrix

D = 100

Step-by-step explanation:

$\left[\begin{array}{cccc}3&2&1&-8\\-1&-2&4&7\\1&-6&-3&15\end{array}\right]$

3 2 1

D = -1 -2 4 = 3(-2)(-3) + 2(4)(1) + 1(-1)(-6)

1 -6 -3

- 1(-2)(1) - 3(4)(-6) - 2(-1)(-3)

= 18 + 8 + 6 + 2 + 72 - 6

= 100

Sorry, I can't type the vertical bars.

I hope this is what you are looking for.

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a store sells new DVDs for $12 each. used DVDs sell for $7 each. Joseph is buying two new DVDs and X used DVDs. write an equatio

vagabundo [1.1K]

Given that new DVDs are selling for $12 and used for $7, then Joseph is buying:
12·2 + 7<em>x </em>=

7 0

3 years ago

Read 2 more answers

15 decreased by twice a number x in algebriac expression

postnew [5]

2x - 15

15 is decreased that is the key word here which indicates subtraction.

twice a number with given variable x is 2x

subtraction always goes behind so 2x - 15

4 0

3 years ago

1. Write a numerical expression for the phrase “twelve groups of the sum of fourteen and 10.”

Rom4ik [11]

The expression for five groups of a number added to seventeen.

Let the number be X
Five groups of the number will be 5X
The required expression will be
5(X) +17

6 0

3 years ago

Find the value of x<br><br>urgent!! plz help me! will give the brainliest

Anarel [89]

Answer:

x = 2

Step-by-step explanation:

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we divided by 2 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

→ Expand the brackets

$\frac{1}{2} x- \frac{1}{2}-\frac{1}{6}x -\frac{1}{6} =0$

→ Multiply everything by 12 to make solving the equation easier

6x - 6 - 2x - 2 = 0

→ Simplify equation

4x - 8 = 0

→ Add 8 to both sides to isolate 4x

4x = 8

→ Divide by 4 on both sides to isolate x

x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

$\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0$

⇒ Substitute in the values

$\frac{1}{2} (2-1)-\frac{1}{6} (2+1) = 0$

⇒ Simplify

$\frac{1}{2} (1)-\frac{1}{6} (3) = 0$

⇒ Simplify further

$\frac{1}{2} -\frac{1}{2} =0$

0 = 0

The solution x = 2 is correct

4 0

3 years ago

Replace with <,>, or = to make a true statement: 2^5 4^2

Crank

Answer:

2^5>4^2

Step-by-step explanation:

${2}^{5} > {4}^{2} \\ 32 > 16$

hopefully this makes sense

3 0

2 years ago