MATHEMATICS COLLEGE

Solve the system by using elementary row operations on the equations. Follow the systematic elimination procedurex1+4x2 =11
2x1+7x2=18
Find the solution to the system of equations.

Answers

Answer 1
Answer:

Answer:

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

Step-by-step explanation:

Step(i):-

Given equations are  x₁+4 x₂ = 11 ...(i)

                                 2 x₁ + 7 x₂= 18 ...(ii)

The matrix form

                                A X = B

            \left[\begin{array}{ccc}1&4\n2&7\n\end{array}\right] \left[\begin{array}{ccc}x\ny\n\end{array}\right] = \left[\begin{array}{ccc}11\n8\n\end{array}\right]

Step(ii):-

      \left[\begin{array}{ccc}1&4\n2&7\n\end{array}\right] \left[\begin{array}{ccc}x\ny\n\end{array}\right] = \left[\begin{array}{ccc}11\n8\n\end{array}\right]

The Augmented Matrix form is

[AB] = \left[\begin{array}{ccc}1&4&11\n2&7&18\n\end{array}\right]

Apply Row operations,  R₂ → R₂-2 R₁

[AB] = \left[\begin{array}{ccc}1&4&11\n0&-1&-4\n\end{array}\right]  

The matrix form

                   \left[\begin{array}{ccc}1&4\n0&-1\n\end{array}\right] \left[\begin{array}{ccc}x\ny\n\end{array}\right] = \left[\begin{array}{ccc}11\n-4\n\end{array}\right]

The equations are

                     x₁ + 4 x₂ = 11 ...(a)

                         - x ₂ = - 4

                            x ₂ = 4

Substitute   x ₂ = 4 in equation (a)

                      x₁ + 4 x₂ = 11

                      x₁ = 11 - 16

                        x₁ = -5

Final answer:-

The solution of the Given matrix

  ( x₁ ,    x ₂ ) = ( - 5 , 4 )

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Enter the number that belongs in the green box

Answers

Answer:

8

Step-by-step explanation:

8

The table shows the number of badges earned, based on the number of boxes of cards sold. What does b(20) = 3 mean in terms of the problem

Answers

Answer:

Someone who sells 20 boxes of cards earn 3 badges.

Step-by-step explanation:

Answer:

b(20) = 3 means that for 20 boxes of cards sold, 3 badges were earned.

Step-by-step explanation:

The number of badges earned based on the number of boxes of cards sold means that badges earned are a function of the number of boxes of cards sold.

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Which of these is the smallest number: A.0.452
B. 45%
C. 0.045

Answers

Answer:

C. 0.045

Step-by-step explanation:

Please help me with my math!!!!!!!!!

Answers

12.8 km per hour

51.2 km in 4 hours

What is the value of x to the nearest tenth?

Answers

Step-by-step explanation:

Hello!!!

Let'sworkoutwiththisfigure.

BCisachord,OisthecentreandOAistheperpendicularbisector.

AB=1/2ofBC(accordingtocircle'stheorem)

so,AB=1/2×25.6

Therefore, themeasureofABis12.8.

now,let'shaveasmallworkwithtriangleAOB.

asitisaRight angled triangle, takingangleBasrefrenceangleweget,

p=x

b=12.8

h=OB=16(itisalsoaradius.)

now,

byPythagorasrelationwe get,

p = \sqrt{ {h}^(2) - {b}^(2) }

or,x=root16^2-12.8^2

bysimplification, weget;

themeasureofxis9.6.

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Evaluate the expression 3.14(a2 + ab) when a = 3 and b = 4.

Answers

Answer:

65.94

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

Step 1: Define

Identify

3.14(a² + ab)

a = 3

b = 4

Step 2: Evaluate

  1. Substitute in variables:                                                                                     3.14(3² + 3 · 4)
  2. (Parenthesis) Exponents:                                                                                 3.14(9 + 3 · 4)
  3. (Parenthesis) Multiply:                                                                                      3.14(9 + 12)
  4. (Parenthesis) Add:                                                                                            3.14(21)
  5. Multiply:                                                                                                             65.94

Hey there!

3.14(a^2 + ab)

= 3.14(3^2 + 3 *4)

3^2

= 3 * 3

= 9

3 * 4

= 12

3.14(9 + 12)

9 + 12

= 21

3.14(21)

= 65.94

Answer: 65.94

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)
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