-3x-2y-3z=5

x+2y-z=-19

-2x+y-2z=1

Answers

Answer 1

9514 1404 393

Answer:

  (x, y, z) = (-9, -1, 8)

Step-by-step explanation:

My calculator tells me the reduced row-echelon form of ...

  [tex]\left[\begin{array}{ccc|c}-3&-2&-3&5\\1&2&-1&-19\\-2&1&-2&1\end{array}\right][/tex]

is ...

  [tex]\left[\begin{array}{ccc|c}1&0&0&-9\\0&1&0&-1\\0&0&1&8\end{array}\right][/tex]

This means the solution is (x, y, z) = (-9, -1, 8).

_____

Additional comment

In case you haven't learned how to use your graphing calculator to solve matrix equations, you can solve this system easily as follows:

Subtract 2 times the first equation from 3 times the third equation. This eliminates the x and z terms and gives you the value of y. (y=-1)

Substitute that value into the first and second equations. This gives you two equations in the sum and difference of x and z. (You may need to divide the coefficients by the common factor.) Add these sum and difference equations to find one of the variables, then substitute to find the other.


Related Questions

I need help . Thanks

Answers

Answer:

ok wait babalik ako kunin love lang

Someone help, please solve this and explain

Answers

Answer:

A

Step-by-step explanation:

Perimeter = 2W + 2L

134 = 2(29) + 2x

134 - 58 = 2x

x = 76/2

x = 38 (length)

A = 2L + 2(29) >= 134 (more or equal = >=)

Evaluate.

(jk−1) ÷j when j=−4 and k=−0.8

Enter your answer as a decimal in the box.

Answers

Step-by-step explanation:

(jk−1) ÷j

[(-4)(-0.8) -1] ÷ (-4)

=[ 3.2 -1] ÷ (-4)

=2.2 ÷ (-4)

= -0.55

The solution of the expression "[tex]\frac{jk-1}{j}[/tex]" is "-0.55".

The given values are:

j = -4k = -0.8

→ [tex]\frac{jk-1}{j}[/tex]

By putting the value of "j" and "k" in the given expression, we get

→ [tex]\frac{(-4)(-0.8)-1}{-4}[/tex]

By solving the brackets, we get

→ [tex]\frac{3.2-1}{-4}[/tex]

→ [tex]\frac{2.2}{-4}[/tex]

→ [tex]-0.55[/tex]

Thus the above response is correct.

Learn more:

https://brainly.com/question/25032806

Will mark as brainlist answer fast


A noun that is referred to by a pronoun is called a(n)



Noun
Antecedent
Adjective
Pronoun

Answers

Answer:

Pronoun

A pronoun is a word used to stand for a noun

Answer:

I believe the answer is antecedent

Step-by-step explanation:

hope this helps bro

Factorise 3a2 (squared) - 7a

What’s the answer?
Don’t use the calculator.

Answers

Step-by-step explanation:

[tex] {3a}^{2} - 7a \\ a(3a - 7) \\ \\ \\ \\ \\ \\ hope \: it \: helps \\ stay \: safe \: healthy \: and \: happy[/tex]

Evaluate.
(3⋅7)+(5⋅9)
Enter your answer in the box.

Answers

Answer:

21+45 and in total is 66 if u add them up

please mark me brainless

Step-by-step explanation:

Hello!

Answer:

66

Step-by-step explanation:

Hope this helps!

If the word is a proper noun, choose the answer that begins with a capital letter. If the word is a common noun, choose
the answer that begins with a small letter.


School
school

Answers

school is not a a proper noun so it will start with a lowercase letter

1^2/13x 5^2\5 answer the question

Answers

Answer:

5/13x

Step-by-step explanation:

BRO

A letter use to represent a number value is called

Answers

Answer:

A variable

Step-by-step explanation:

Which angles are supplementary?
A. 1 and 4
B. 1 and 5
C. 3 and 5
D. 7 and 2

*I thought it was 1 and 5

Answers

Answer:

C 3 and 5

Step-by-step explanation:

these are supplimentary 180

Select the best answer for the question.
What's the correct letter name for <1 below?

A. B. C. D.

Answers

D because B is in the middle of ABC and the angle1 has B in the middle aswell.

thanks i really need this worth 20 points

Answers

Answer:

is b

Step-by-step explanation:

What is the slope of the line that passes through the points (-4, 0) (-4, -10)

Answers

Answer:

The slope is undefined.

Step-by-step explanation:

If the x value stay the same between a set of points, the slope of the line will be undefined.

Can someone help me pls

Answers

Answer:

2.85 x 10^4

Step-by-step explanation:

Evaluate the equation: 7.15e = 64.35

Answers

Answer:

Simplifying

7.15e = 64.35

Solving

7.15e = 64.35

Solving for variable 'e'.

Move all terms containing e to the left, all other terms to the right.

Divide each side by '7.15'.

e = 9

Simplifying

e = 9

Answer:9

Step-by-step explanation:

A math teacher graded 45 problems in 3/5 of an hour. At that rate, how many problems can she grade in 1 hour?

Answers

Answer:

75 questions

Step-by-step explanation:

[tex]45[/tex] ÷ [tex]\frac{3}{5}[/tex] of an hour

[tex]\frac{3}{5} =36[/tex]

[tex]45[/tex] ÷ [tex]36[/tex] minutes

= 1.25

1.25 times 60 = 75 questions

A student has scores of 66.75, 66, and 72.25 on his first three tests. He needs an average of at least 70 to earn a grade of C. What is the minimum score that the student needs on the fourth test to ensure a C?

Answers

The answer is 7.25

Step-by-step explanation:

You need to just subtract thr toher numbers to get a differrnce. Then add up all of the differences so that you get thr correct answer.

Given that adults have IQ scores that are normally distributed with a mean of 100 and a standard deviation of 15. Find the z score associated with the probability that a randomly selected adult has an IQ greater than 115.

Answers

Answer:

0.8413

Step-by-step explanation:

bad explainer srry

Answer:

Step-by-step explanation:

[tex](\frac{115-100}{15})=1[/tex]

because we're looking for the zscore associated with it being greater than we flip the sign

so the answer is just -1

Graph the point (5,6)

Answers

Answer:

(x,y)

Step-by-step explanation:

On point 0 you would go right 5 times and up 6

I don’t have any paper with me to show although all you have to do is start at the origin (0,0) then go right 5 then up 6. Please give me a brainliest if you found this helpful:)

Macario is making 12 pounds of nut mixture with macadamia nuts and almonds. Macadamia nuts cost $9 per pound, and
almonds cost $5.25 per pound. How many pounds of macadamia nuts and how many pounds of almonds should Macario
use for the mixture to cost $6.50 per pound to make?

Answers

Answer:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds.  

Step-by-step explanation:

Marcario should use  4 pounds of macadamia nuts and 8 pounds of almonds. Explanation given cost of macadamia nuts per pound=$9

cost of almond nuts per pound=$5.25

cost of the mixture per pound=$6.5

total pounds of the mixture to be made=12

let the pounds of macadamia nuts=x

pounds of almond nuts=y

total pounds of nuts=x+y= 12

x + y = 12(1)

9x +5,25y = 6.5(x+y)

9x+5.25y=6.5*12

9x+5.25y=78(2)

solving (1) and (2)

x=4 y=8

(2) Below is the graph of a function, y = f (x).

(a) Draw a secant line on the graph above from x = 0 to x = 4. (copy the graph if you are writing your answers on a separate paper)

(b) What is the average rate of change of f (x) from x = 0 to x = 4? Show how you get your answer.

Answers

Answer:

Step-by-step explanation:

a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.

b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.

15/2.25(step by step 100 points and mark brainliest)

Answers

Answer:

[tex]\sf\longmapsto \: 6.666[/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \: \frac{15}{2.25} [/tex]

Or it can be written as 15÷2.25

Thus,the answer will be in decimal.

[tex]\sf\longmapsto \: 6.666[/tex]

15/2.2515÷225/10015×100/225100/156.67

1. Which equation is equivalent to the equation 6x + 9 = 12?
A. x + 9 = 6
B. 2x + 3 = 4
C. 3x + 9 = 6
ol
DL
D. 6x + 12 = 9

Answers

Answer:

D

Step-by-step explanation:

because I solved generalization and defined to solving for the unknowns

will summarize

there are 3 factors in the equation 5 x 3 x 2 = 30 true or false

Answers

Answer:

true

Step-by-step explanation:

the factors are simply what is being multiplied together. We can see there are 3 because we have 5,3,and 2. 30 is not a factor because that is the answer. I hope this helps!

True, 5x ( 3 x 2 )
3 x 2 = 6
6 x 5 = 30

Your brother is 1/3 your age your sister is four years older than your brother your sister is nine years old right in equation to find your age X.

Answers

Answer:

you are 15

Step-by-step explanation:

9-4=5

5x3=15

Is anybody up to help me
Answer ASAP

Answers

question:

where is the question mam?

Which are monomials?

-7

a

x + y



24r2st3


bx

Answers

Answer:

A,B,E,F

Step-by-step explanation:

A cyclist traveled 70km at a constant speed. Write down the formula that shows the dependence of the speed, v, on the time t. Find v(5), v(7), v(3.5)
HELP I WILL GIVE BRAINLIEST + 20 POINTS I REALLY NEED THIS

Answers

The equation which relates speed, V and time, t to the total distance traveled is 70 = Vt

70 = Vtv(5) = 14 V(7) = 10V(3.5) = 20

Since he is traveling at a constant speed, the relationship between, V and t can be written thus :

Distance = speed × time 70 = Vt

At time, t = 5

70 = 5VV = 70/5 = 14

At time, t = 7

70 = 7vV = 70/7 = 10

At time, t = 3.5

70 = 3.5vv = 70/3.5 = 20

Therefore, the relationship between V and t with distance is 70 = Vt

Learn more :https://brainly.com/question/23774048

19. Which of the following numbers is the smallest?
419
1/2
318
7/16

Answers

Answer:

Step-by-step explanation:

7/16

419

318

1/2

The smallest is 7/16

419 and 318 are whole numbers so you can cross those of the most
1/2 and 7/16 are the only options left
1 divided by 2 is 0.5
7 divided by 16 is 0.43
7/16 is then smaller than 1/2, because in decimal form, 0.43 is smaller than 0.5

please help me this is due at 6:00 and I will out for a while so please help

Answers

Answer:

a. -15

b.-5

2. 4/-3

Step-by-step explanation:

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