1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
hichkok12 [17]
3 years ago
10

Write a matrix equation for the given systems of equations.

Mathematics
1 answer:
REY [17]3 years ago
4 0

Answer:

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

Step-by-step explanation:

Given system of equations are

2x-6y-2z = 1

3y - 2z = -5

2y + 2z = -3

given

2 x - 6 y - 2 z = 1

0 x + 3 y - 2z = -5

0 x +2y + 2 z = - 3

<em>The Matrix form of the given system of equations </em>

<em>A X = B</em>

<em></em>\left[\begin{array}{ccc}2&-6&2\\0&3&-2\\0&2&2\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right]= \left[\begin{array}{ccc}1\\-5\\-3\end{array}\right]<em></em>

You might be interested in
The drill team at Hill Middle School made 120 spirit pins to sell for a fundraiser. After the fundraiser, the team had 18 pins l
Marizza181 [45]

no 1) is 85%

no 2) is 32 - 80 = -48

3 0
3 years ago
• LIVE
FromTheMoon [43]
I think it is B but I might be wrong
4 0
3 years ago
Explain how to determine the zeros of f(x)= (x+3)(x-2)(x-6)
Deffense [45]

Answer:

The zeros of f(x)  are -3, 2 , 6

Step-by-step explanation:

f(x) is a polynomial of degree 3.

If the polynomial is not factorized we will either factorize to find the zero or use trial and error method.

Since the f(x) in the question is in the factorized form. we will have to equate each factor to zero.

f(x) = (x+3)(x-2)(x-6)

x + 3 = 0 => x = -3

x - 2 = 0 =>  x = 2

x - 6 = 0 => x = 6

8 0
2 years ago
Find the volume of the shaded figure by subtracting the smaller volume from the larger
alekssr [168]

Answer:

a. 9a^3 - 9ab^2

b. 9a(a^2 - b^2)

Step-by-step explanation:

a.

Volume = l*w*h

Volume_{smaller} = l*w*h

Where, l = 9a, w = b, h = b

Volume_{smaller} = 9a*b*b = 9ab^2

Volume_{larger} = l*w*h

Where, l = 9a, w = a, h = a

Volume_{smaller} = 9a*a*a = 9a^3

Volume of the shaded figure = 9a^3 - 9ab^2

b. 9a^3 - 9ab^2 expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

9a^3 - 9ab^2 = 9a(a^2 - b^2)

6 0
3 years ago
The area of a rectangular wall of a barn is 300 square feet. its length is 10 feet longer than twice its width. find the length
Savatey [412]

<span><span>L * W = 300 sq ft
</span><span> Length is 10 ft greater than twice the width.
L = 2W + 10
Substituting
(2W+10)*W = 300
2W^2 + 10W = 300
Divide both sides by 2
W^2 + 5W = 150
W^2 + 5W - 150 = 0
Factor
(W +15)(W -10) = 0</span></span>

<span>
<span> Roots are W=-15 and W=10.
A negative width is impossible, so W=10
L = 2W + 10
L = 2(10) + 10
L = 30</span></span>

 length = 30 feet, width = 10 feet

<span> Check: 30*10 = 300</span>


5 0
3 years ago
Other questions:
  • Which number is less -49 or -41??
    5·1 answer
  • Please help! First answer that is correct wins Brainliest!​
    8·2 answers
  • Is this better? Its all.. There is no book to read it over so its confusing
    5·1 answer
  • Victoria has 12 photo albums to make gifts for her family. Each photo album will need $0.30 of buttins and $1 of ribbon. She est
    12·1 answer
  • Evaluate |-3|<br> 1. -3 <br> 2. 3<br> 3. ±3
    15·2 answers
  • Show how you could use a commutative property to simplify the evaluation of the expression -7/16 -1/4-5/16
    6·1 answer
  • Considere o produto 2.2.2.2.2.2.Escreva-o como potência de base.<br> OBS:Não é de marcar...
    10·1 answer
  • Solve equation: 1/4+ 3/4n=1/2
    14·2 answers
  • Find the distance between the points (a1, b1) and (a2, b2).
    10·1 answer
  • PQR is right-angled triangle.calculate the soze of the angle marked correct.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!