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
o-na [289]
3 years ago
13

2. Solve the system of equations. Write your answer in parametric vector notation. X, +5x2 + 4x3 + 3x4 +9xs = 18 2x, +6x2 + 4x3

+ 6x4 +6x3 = 28 3x, + 7x2 + 4xz +10x4 +lxs = 41 4x, + 6x2 + 2x3 +7x4 + 4x3 = 29
Mathematics
1 answer:
ratelena [41]3 years ago
4 0

Answer:

The system is inconsistent.

Step-by-step explanation:

The system is

x_1+5x_2+4x_3+3x_4+9x_5=18\\2x_1+6x_2+4x_3+6x_4+6x_5=28\\3x_1+7x_2+4x_3+10x_4+x_5=41\\4x_1+6x_2+2x_3+7x_4+4x_5=29

The associated matrix to the system is

\left[\begin{array}{cccccc}1&5&4&3&9&18\\2&6&4&6&6&28\\3&7&4&10&1&41\\4&6&2&7&4&29\end{array}\right]

Now we use row operations to find the echelon form of the matrix:

1. We substract to row 2, two times the row 1.

We substract to row 3, three times the row 1.

We substract to row 4, four times the row 1 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&-4&-4&0&-12&-8\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

2. We multiply the second row of the preview step by -1/4. We obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&-8&-8&1&-26&-13\\0&-14&-14&-5&-32&-43\end{array}\right]

3.

We add to row 3, eight times the row 2.

We add to row 4, fourtheen times the row 2 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&-5&10&-155\end{array}\right]

4. We add to row 4 of the preview step, five times the row 3 and obtain the matrix

\left[\begin{array}{cccccc}1&5&4&3&9&18\\0&1&1&0&3&2\\0&0&0&1&-2&3\\0&0&0&0&0&-140\end{array}\right]

Using backward substitution we have that

0x_5=-140, then 0=-140 and this is absurd. Then The system is inconsistent.

You might be interested in
Kelly wants to cut her birthday cake into 20 equal pieces. If she uses all of the cake, what is the correct angle she needs to c
klasskru [66]

Answer: Well if i am correct she would be cutting acute angles.

4 0
3 years ago
Find the volume of the sphere .
mars1129 [50]

Answer:

1436.8cm³

Step-by-step explanation:

Formula :

\frac{4}{3}  \times \pi \times r ^{3}

\frac{4}{3}  \times \pi \times 7^{3}

=1436.75504cm³

to 1dp

=1436.8cm³

8 0
3 years ago
I don’t understand this can someone help? Please
Kobotan [32]

Answer:mkay, also yes he did

Step-by-step explanation:

1.Remove the parentheses

2.put -5z and 4z together which makes -9z(negative plus positive equals negative)

3.-9z+ -6z=-3z and 7+8=15

4.15 decided by -3=5

so yes, z=-5

7 0
3 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST
Vaselesa [24]

Answer:

no

Step-by-step explanation:

80-225*1/3=80-75=5

3 0
3 years ago
Identify as a direct variation, inverse variation or neither. The number of tons of coal burned by an old coal burning locomotiv
pochemuha
Answer: it is a direct variation.

Justification:

In a direct variation the variables are related by a proportionality constant in this way:

y = k x

Tthan means that the value of y is always the product of a constant times the value of x.

The situation discribed for the coal may be written as:
number of tons of coal burned: c

number of hours: h

⇒ c = k × h

Which is that you can calcualte the number of tons of coal burned at any time, once you know the proportionality constant k.




5 0
3 years ago
Other questions:
  • To buy the car new is $43,500.00 however, if you wait 18 months, it’s 55% cheaper. How much can you get the car for in 18 months
    6·1 answer
  • If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
    12·1 answer
  • A prize wheel at a county fair is divided into 9 equal sections. Each section on the wheel is marked with a letter. Each letter
    5·1 answer
  • If square + circle= triangle then triangle - square =? And how do you know the answer is correct?
    10·1 answer
  • Into a bucket, 3.705 liters of water flowed in 7.8 minutes. Enter the number of liters that flowed into the bucket each minute a
    15·1 answer
  • Mykel is planning a banquet for 125 guests. He needs to select 4 appetizers, 2 entrees, and 4 side dishes. Carson's Catering has
    5·1 answer
  • Hurry To much points!
    14·1 answer
  • Please please help me im really struggling
    5·1 answer
  • Find (x−2)(4x+2) using the table of products. Write your answer in standard form.
    9·1 answer
  • What is an approximate solution to this equation? 4/x-5=√x+3+2
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!