write the solution set to the following augmented matrices. state if the solution set has one solution, infinitely many solutions, or no solution. a. 1 0 3 51 | -110 1-12 44 | 30 0 0 0 | 0

Answers

Answer 1

The given augmented matrix represents a system of linear equations. To find the solution set, we perform row operations to transform the matrix into row-echelon form. The matrix is already in row-echelon form, and we see that the last row corresponds to the equation 0 = 0, which is always true. This means that the system has infinitely many solutions. We can write the solution set in parametric form as x1 = -3x3 + 51, x2 = 12x3 - 44, and x3 is free. Therefore, the solution set has infinitely many solutions.

The given augmented matrix represents a system of linear equations in three variables. We need to solve this system to find the solution set. To do so, we use row operations to transform the matrix into row-echelon form. The row-echelon form of the matrix has zeros below the leading entries of each row, and the leading entry of each row is a 1 or the first nonzero entry. Once the matrix is in row-echelon form, we can easily read off the solution set.

The given augmented matrix represents a system of linear equations with infinitely many solutions. The solution set can be written in parametric form as x1 = -3x3 + 51, x2 = 12x3 - 44, and x3 is free. Therefore, the solution set has infinitely many solutions.

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Related Questions

Find the 9th term of the geometric sequence 6, -24, 96,

Answers

Step-by-step explanation:

the process is show in the above picture.

While eating lunch, Douglas noticed that 15 students chose to eat chicken and 19 chose to eat pizza. What is the ratio of students in his class who chose to eat chicken to the total number of students?

Answers

15 : 34 is the correct answer15 + 19 = 3415 ate chicken34 total students (assuming everybody ate either pizza or chicken)Please let me know if I am wrong.

Solve for y when f(x)=2x^4-5

Answers

if you are looking for the y intercept it is (0,-5) or -5

how long is a 75% of a 24 hour day

Answers

Answer:

18 hours

Step-by-step explanation:

because 6 x 3 = 18!

Can someone solve this please?

Answers

Answer: x = 1/2

Step-by-step explanation:

Jacob has $100 in his savings account. The interest rate is 5% per year. How much interest will he earn in 1 year?​

Answers

Answer: $5


5% of 100 is 5, so it would be $5

Hope this helps! :)

A line passes through point (-2, 5) and has a slope of 5/2.
Write an equation in Ax + By = C form for this line.
Use integers for A, B, and C.

Answers

Answer:

5x-2y=-20

Step-by-step explanation:

y-y1=m(x-x1)

y-5=5/2(x-(-2))

y-5=5/2(x+2)

y-5=5/2x+10/2

y-5=5/2x+5

y=5/2x+5+5

y=5/2x+10

y-5/2x=10

-5/2x+y=10

2(-5/2x+y)=2(10)

-10/2x+2y=20

-5x+2y=20

5x-2y=-20

Write 6 ,7,8,9 or 10 and 12

Answers

Answer:

9

Step-by-step explanation:

Damian is buying tickets to a movie. The movie he and his friends want to see costs $ 4.85 $4.85 per ticket. Damian has $ 32.00 $32.00 total.

Answers

Answer:

What is the question?

Step-by-step explanation:

please help w steps! asap

Answers

Answer:

(4,6)

Step-by-step explanation:

The midpoint=([tex]\frac{5+3}{2} ,\frac{11+1}{2} )[/tex]

                      =(4,6)

Draw a rhombus with diagonals 4 and 6. What is the area of the rhombus?

Answers

first of all you have to draw a rhombus

area (d+d)/2

(4+6)/2

5

Kamila buys a notebook for $1.59 and pens for $0.29 each. She spends $5.07.
Define a variable that can be used to determine how many pens she bought.
Write an equation using the variable and solve to determine how many pens she bought.

Answers

Answer:

12 pens

Step-by-step explanation:

Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.

Price of a notebook = $1.59

Price a pen = $0.29

Total amount spent = $5.07

But,

1.59 + 0.29 n = 5.07

So that,

0.29 n = 5.07 - 1.59

0.29 n  = 3.48

n = [tex]\frac{3.48}{0.29}[/tex]

  = 12

Therefore, Kamila bought 12 pens.

2. A bacteria population is modeled by the equation p(n)= 10,000.2", where h is the number of hours since
the population was measured.
About how long will it take for the population to reach 100,000?

Answers

Answer: its 3 the answer is 3

Step-by-step explanation:

HELP I NEED HELP ASAP

A. Day 4 to Day 6
B. Day 8 to Day 10
C. Day 6 to Day 8
D. Day 10 to Day 12

Answers

Answer:

b

Step-by-step explanation:

trust i did it already

Answer:

the answer is B

Step-by-step explanation:

I just had that question

Triangle A'B'C' is the image of triangle ABC after a sequence of rigid motions,

Answers

Answer:

The sequence are:

i. reflection about the y-axis

ii. 2 units translation downwards

iii. 1 unit translation to the right

Step-by-step explanation:

Rigid transformation is a process of producing the image of a given figure or shape by either reflection, rotation, dilation or translation method. Thus the orientation and size of the figure changes with respect tot the method applied.

For the given question, some sequence were applied to produce the image of ABC.

The sequence are:

i. reflection about the y-axis

ii. 2 units translation downwards

iii. a unit translation to the right

Expand: f(x)= x^4- x^3+x^2+x-

Answers

F(x) = x (x^3 - x^2 + x + 1)

Of the following test scores, who do you think received the best score? The worst score? Why?

Carla : 3 out of 5

Desmond: 20 out of 25

Ignacio: 6.5 out of 10

Gina: 38 out of 50

Answers

Answer:

Desmond

Step-by-step explanation:

3 over 5 x 100% = 60%

20 over 25 x 100% = 80%

6.5 over 10 x 100% = 65%

38 over 50 x 100% = 76%

Desmond is the correct answer. Continue learning and hope u have a great day/night! :)

There are two right angle triangles, triangle ABC and Triangle EDF. Measure of angle ACB and angle EFD are 90. Side AB is congruent to side ED, Side AC is congruent to side DF. What theorem can be used to show that ABC ≅ DEF?

Answers

Answer:

SAS theorem

Step-by-step explanation:

Given

Triangles ABC and DEF

[tex]AB = ED[/tex]

[tex]AC = DF[/tex]

[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex]

Required

Which theorem shows the similarity between both triangles

The following can be deduced from the given parameters.

[tex]AB = ED[/tex] ===> Equal Sides

[tex]AC = DF[/tex] ===> Equal Sides

[tex]\angle ACB = \angle EFD = 90^{\circ}[/tex] ===> Equal Angle

This implies that two sides and 1 angle of both triangles are equal.

Hence, the theorem to use is the SAS theorem.

Which equation would you use to solve this problem: Laura bought 4 1/3 bushels of apples for $16. How much did each bushel cost? *

Answers

Answer: $3.69

Step-by-step explanation:

Laura bought 4 1/3 bushels of apples.

Firs convert this to an improper fraction for easier calculation:

= 13/3 bushels of apples.

If cost $16 altogether, individually they must cost:

= Cost / Quantity purchased

= 16 ÷ 13/3

= 16 * 3/13

= $3.69

Note: You can divide by a fraction by multiplying the inverse of that fraction.

Please help, I have ask it 5 times. Please.

Answers

LM are congruent to HI , GM are congruent to LJ

Answer:

Pair 1: GM and LJ

Pair 2:HI and LM

Step-by-step explanation:

The markings on the line show which lines are congruent to each other. This means that line HI and ML are congruent because they have similar markings. And you could say the same for line JL and MG because it has 2 lines that mark it as congruent to eachother.

So basically your answers are GM and LJ as one pair and HI and LM as another

Simplify each of the following.
7^2 x 7^3

Answers

9514 1404 393

Answer:

  7^5 = 16,807

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)(a^c) = a^(b+c)

__

Here, we have a=7, b=2, c=3, so ...

  (7^2)(7^3) = 7^(2+3) = 7^5 = 16,807

Kelsey put 6 gallons of water in the cooler. How many 1-pint water bottles can be filled from the water in the cooler?

Answers

Answer:

48 pints

Step-by-step explanation:

1 gal=8 pints

Hope this helps

Help I will be marking brainliest!!!!

A. 55.33
B. 156.16
C. 72
D. 61.16

Answers

Answer:

do RN/RM first which will be 95/73 which is 1.30 and use this to multiply 47 which is 47*1.3   61.1

ANSWER = D.

I first got the variable of 1.3 which is multiply that by RM to get RN and then useing that logic you multiply 1.3 by MP to get QN

MARK ME BRAINLIEST

Can someone help me please

Answers

I got you it’s 625 you get that answer from 5•5•5•5

Answer:

625

Step-by-step explanation:

TOOS
4
The number of books (b) in a preschool classroom is proportional to the number of children (C) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the
classroom?
A. 6 = 30
B. b = 3-0
C. 6 = 3 +0
o D. 6 = 1/2
Reset
Next Question

Answers

Answer:

Step-by-step explanation:

Given that:

Number of books, b α number of children enrolled

b α C

b = kC

Number of books, b = 3 for each child, c = 1 enrolled

Total number of books in class room :

Total number of books = Number of books per child * Number of child)

Total number of books = 3 * Numbe of child

The answer is c i believe

a. On the map of Arkansas shown, find the actual distance between Clarksville and Little Rock. Use a ruler to measure.​

Answers

Answer:

1cm/20mi = 4cm/x

1x = 80

x = 80

The answer is 80 miles

A game consists of randomly choosing a bag (labelled 1, 2 or 3) out of a choice
of 100, and then again randomly, picking a ball (red or black) from it.
Each bag has the same total number of balls (10).
Bag options
Ball options
a) Complete the tree diagram.
0.6 Red
b) Work out the probability that a player
will select a red ball.
0.4 -Black
0.35
0.2
Red
0.45
2.
0.8
Black
c) The same player is going to play the
game 200 times consecutively.
How many black balls should he
expect to pick?
0.7
Red
3
0.3
Black

Answers

Answer:

A=0.2

b=0.2 x 0.7=0.14

0.45 x 0.2=0.09

0.44

c=112

Step-by-step explanation:

Helppp plssss this is due soooon

Answers

76;(/:14 volume of 6
C=2pi*r
So you have d
D=8 divided by 2=. r=4
So
2pi*4 = 25.13
And because it’s half circle
The
25.13 divided by 2 = 12.565
Answer is 12.565

A certain population is initially 8,951 but declines by 8% every second. Find an exponential formula that gives the population as a function of time. What will be the population after half of a minute?

Answers

9514 1404 393

Answer:

  734

Step-by-step explanation:

The growth factor is 1 -8% = 0.92. This is the base of the exponential formula. The multiplier is the initial value, so you have ...

  p = 8951×0.92^t

When t=30, this evaluates to ...

  p = 8951×0.92^30 ≈ 733.68

The population after half a minute will be about 734.

4. What is the axis of symmetry for h(x) = 19(x – 5)^2 + 6

Answers

Answer:

x = 5

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

(h, k ) are the coordinates of the vertex and a is a multiplier

h(x) = 19(x - 5)² + 6 ← is in vertex form

with vertex (h, k ) = (5, 6 )

The axis of symmetry is a vertical line passing through the vertex

with equation x = 5

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