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
erma4kov [3.2K]
2 years ago
11

Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there

is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) x1 + x2 + x3 = 0 x1 + x2 + 9x3 = 0
Mathematics
1 answer:
True [87]2 years ago
5 0

Answer:

x1 = t, x2 = -t and x3 = 0

Step-by-step explanation:

Given the system of equation

x1 + x2 + x3 = 0 .... 1

x1 + x2 + 9x3 = 0 .... 2

Subtract both equation

x3 - 9x3 = 0

-8x3 = 0

x3 = 0

Substitute x3 = 0 into equation 1

x1 + x2 + 0 = 0

x1+x2 = 0

x1 = -x2

Let t = x1

t = -x2

x2 = -t

Hence x1 = t, x2 = -t and x3 = 0

You might be interested in
Find the slope and y-intercept of the line that is
Vlad [161]

Remark

Perpendicular slopes are found by using the formula m1*m2 = - 1. That is followed by using the given point to determine the y intercept.

Solution

<em><u>Step One</u></em>

Find the slope of the new line

m1 = - 1/3

m2 = ??

m1 * m2 = - 1

(-1/3) * m2 = - 1

You could continue by changing (-1/3) to a decimal.

(-0.3333333333) * m2 = -1    Now divide by the decimal

m2 = - 1/ (-0.3333333333)

m2 = 3 which is what my calculator tells me the answer is.

<u>Step Two</u>

So far what you have is

y = 3x + b

Use the point (-3, -7) to get the y intercept.

-7 = 3(-3) + b

b - 9 = - 7

b = -7 + 9

b = 2

y = 3x + 2 Answer

Graph

The graph shown below is both lines plotted in desmos. The red line is y = 3x + 2 which is perpendicular to the given graph y = (-1/3)x +5 which is in blue.

The green dot is the point (-3 , - 7)


3 0
3 years ago
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
avanturin [10]

Answer:

x=20

Step-by-step explanation:

do the equation 3x+50=6x-10

7 0
3 years ago
Read 2 more answers
Given f: ℝ → ℝ and : ℝ → ℝ , for the following, find f(g(x)) and g(f(x)), and state the domain.
horrorfan [7]

Answer:

Remember, (f\circ g)(x)=f(g(x)) and the range of g must be in the domain of f.

a)

f(g(x))=f(x-1)=(x-1)^2-(x-1)=x^2-2x+1-x+1=x^2-3x+2

g(f(x))=g(x^2-x)=(x^2-x)-1=x^2-x-1

The domain of f(g(x)) and g(f(x)) is the set of reals.

b)

f(g(x))=f(\sqrt{x}-2)=(\sqrt{x}-2)^2-x=\sqrt{x}^2-2*2*\sqrt{x}+2^2-x=-4\sqrt{x}+4

g(f(x))=g(x^2-x)=\sqrt{x^2-x}-2

The domain of f(g(x)) is the set of nonnegative reals and the domain of g(f(x)) is the set of number such that x^2-x\geq 0

c)

f(g(x))=f(\frac{1}{x-1})=(\frac{1}{x-1})^2=\frac{1}{(x-1)^2}

g(f(x))=g(x^2)=\frac{1}{x^2-1}

The domain of f(g(x)) is the set of reals except the 1 and the domain of g(f(x)) is the set of reals except the 1 and -1

d)

f(g(x))=f(\frac{1}{x-1})=\frac{1}{(\frac{1}{x-1}-1)}=\frac{1}{\frac{2-x}{x-1}}=\frac{x-1}{2-x}

g(f(x))=g(\frac{1}{x+2})=\frac{1}{(\frac{1}{x+2}-1)}=\frac{1}{\frac{-x-1}{x+2}}=\frac{x+2}{-x-1}

The domain of f(g(x)) is the set of reals except 2, and the domain of g(f(x)) is the set of reals except -1.

e)

f(g(x))=f(log(2(x+3)))=f(log(2x+6))=log(2x+6)-1

g(f(x))=g(x-1)=log(2(x-1)+6)=log(2x+4)

The domain of f(g(x)) is the set of nonnegative reals except -3. The domain of g(f(x)) is the set of nonnegative reals except -2.

3 0
3 years ago
N-1-9n <br> simplify this please?
LiRa [457]

Answer:

-8n-1

Step-by-step explanation:

n-1-9n=n-9n-1=-8n-1

7 0
3 years ago
The cone and cylinder below have equal surface area
Elza [17]
I think the answer is true.
3 0
2 years ago
Read 2 more answers
Other questions:
  • Hi, how many 2 inch segments are there in 12ft? Thank you for the help :)
    5·1 answer
  • Maya visits the movie rental store.on one wall,there are 6 dvds on each of 5 shrlves.on another wall,there are 4 dvds on each of
    11·2 answers
  • 0.3 ÷ 42 Will someone please help me with the method on how to do this it is very hard.
    7·1 answer
  • In an arithmetic series, what is the sum of the first 22 terms if the first term is 12 and the common difference is 3?
    8·1 answer
  • What are the chart and graph numbers?
    12·2 answers
  • A number is six greater than 12 times another number the sum of the two numbers is 214 find both numbers
    13·1 answer
  • Which is a different way to express 2(w + 3)?
    15·1 answer
  • HELP PLS HELP ILL MARK YOU BRAINLEST
    9·1 answer
  • 1_Escribe cómo se lee los siguientes números.
    11·1 answer
  • Which expresstion is equivalent to 22 - 3
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!