Solve the system of equations and choose the correct answer from the list of options. (4 points)

2x + y = −4
y = 3x + 2

Question 4 options:

1)

negative 6 over five comma negative 8 over 5

2)

negative 8 over 5 comma negative 6 over 5

3)

negative 5 over 6 comma negative 11 over 5

4)

negative 11 over 5 comma negative 6 over 5

Answer:

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Step-by-step explanation:

As the given Augmented matrix is

[tex]\left[\begin{array}{ccccc}9&-2&0&-4&:8\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 1 :

[tex]r_{1}[/tex]↔[tex]r_{1} - r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\8&12&-6&5&:-2\end{array}\right][/tex]

Step 2 :

[tex]r_{3}[/tex]↔[tex]r_{3} - 8r_{1}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&7&-1&-1&:9\\0&124&-54&77&:-82\end{array}\right][/tex]

Step 3 :

[tex]r_{2}[/tex]↔[tex]\frac{r_{2}}{7}[/tex]

[tex]\left[\begin{array}{ccccc}1&-14&6&-9&:10\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&124&-54&77&:-82\end{array}\right][/tex]

Step 4 :

[tex]r_{1}[/tex]↔[tex]r_{1} + 14r_{2}[/tex] , [tex]r_{3}[/tex]↔[tex]r_{3} - 124r_{2}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&- \frac{254}{7} &\frac{663}{7} &:-\frac{1690}{7} \end{array}\right][/tex]

Step 5 :

[tex]r_{3}[/tex]↔[tex]\frac{r_{3}. 7}{254}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&4&-11&:-8\\0&1&-\frac{1}{7} &-\frac{1}{7} &:\frac{9}{7} \\0&0&1&-\frac{663}{254} &:-\frac{1690}{254} \end{array}\right][/tex]

Step 6 :

[tex]r_{1}[/tex]↔[tex]r_{1} - 4r_{3}[/tex] , [tex]r_{2}[/tex]↔[tex]r_{2} + \frac{1}{7} r_{3}[/tex]

[tex]\left[\begin{array}{ccccc}1&0&0&-\frac{71}{127} &:\frac{176}{127} \\0&1&0&-\frac{131}{254} &:\frac{284}{127} \\0&0&1&-\frac{663}{254} &:\frac{845}{127} \end{array}\right][/tex]

∴ we get

[tex]x_{1} = \frac{176}{127} + \frac{71}{127}x_{4}\\\\ x_{2} = \frac{284}{127} + \frac{131}{254}x_{4}\\\\x_{3} = \frac{845}{127} + \frac{663}{254}x_{4}\\[/tex]

Answer:

arithmetic sequence

is my answer

Answer:

-|12​|

Step-by-step explanation:

|19​| is 19, -|19​| is -19

|12​| is 12, -|12​| is -12

-12>-19

Answer: 9x^2-2x+8/2x(x-2)

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

the 3rd one

y= (x-1)(x-6)

Step-by-step explanation:

Answer:

y=(x-1)(x-6)

Step-by-step explanation:

from the factorised form (x-1)(x-6) we can easily derive the roots of 1 and 6

it crosses the x axes on the roots, which happens at 1 and 6 on the graph

Answer:

zero, would be the same

Step-by-step explanation:

(cube of 2)^2=(2x2x2)^2=8^2=64

cube of 2^2=4x4x4=64

difference would be 0

Answer:

there ages are 29 and 3 years old

Answer:

Positive 2 or Negative 4

Step-by-step explanation:

If this is on a number line

Answer:

2

Step-by-step explanation:

Its quite obvious

Answer:

29 and 31

Step-by-step explanation:

What integer is -1 away from 30? 29. What integer is +1 away from 30? 31. 29 and 31

Answer:

15.

a)

i)43/9= 4 7/9

ii)17/4= 4 1/4

b)

i)3 9/11=  42/11 - 11 times 3=33, 33+9=42

ii)5 6/12= 66/12 - 12 times 6=60, 60+6=66

Answer:

s [tex]\leq[/tex] 14

Step-by-step explanation:

divide both sides by 7

Answer: For the first part, the answers are 4, 9, 11, 13, and 14. I have no idea how to do the 2nd part though. Sorry.

Step-by-step explanation: Divide 98 by 7. This gives you 14. However, s can be equal to or less than 14, giving you multiple answers which are 4, 9, 11, 13, and 14. Hopefully this helps.

Answer:

-20c, . . . . 20c

Step-by-step explanation:

-20c is lesser than 20c as it is -(negative), which can be also expressed as -20c < 20c

Answer:

m = -2

Step-by-step explanation:

5m - 2 = -12

Isolate m.

5m = -12 + 2

5m = -10

m = -10/5

m = -2

Answer:

A vacuum

Step-by-step explanation:

Answer:

+ 0.5 then 1.5 n

Step-by-step explanation:

Answer:

Step-by-step explanation:

4 * 1000 = 4000. 4000/900 = 4.4. 4.4 - 3 = 1.4. 900*1.4 = 1260. 1260 mil of water is left. Rachel used 2700 mil to fill the vases.

After solving the expression, the amount of water left in the jug will be equal to 1.3 liters.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers.

Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

The total amount of water = 4 liters

1 liter = 1000 milliliters then,

4 liters = 4000 milliliters.

3 small vases of 900 ml used the water.

Then, total water used = 3 × 900 = 2700 mL

Amount of water left = 4000 - 2700 = 1300 mL.

Then, water left in the jug will be,

x = (1300 × 4)/4000

x = 1.3 L

To know more about arithmetic operations:

https://brainly.com/question/13585407

#SPJ5

Answer:

amigo mío la respuesta es la letra B

Answer:

no

Step-by-step explanation

learn english

Answer:

Utiliza una cifra que pueda ser resultado de dividir 100:5 y eso a su vez nos dará el valor que debe aumentar en la escala

Answer:

  3x - 4 = -2x + 3

3x + 2x = 3 + 4

       5x = 7

        x = 5/7

Step-by-step explanation:

1. move the same term to one side

2. the rest are simply solving equation

x =76° is the answer

Step-by-step explanation:

because being alternate angle.

Answer:

Measure the line of x only from scale and how much it came its the answer

Step-by-step explanation:

X+76=180

x=180-76

Therefore,x=104.

Hope it will help you be happy!

Answer:

Heat and sound energy

Step-by-step explanation:

It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.

Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.

Answer:

yea we all love you $^)

some will deny it but don't believe that. lolll

Answer:

In general for a point we have (in, out)

The domain is the set of all the 'in's and the range is the set of all the 'out's

Domain: {2, 8, 1, 7} or {1, 2, 7, 8} in order

Range: {5, 3, 9} or {3, 5, 9}

Sets do not contain duplicates so 5 appears only once.

Answer:

i might not be correct but 33?

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

trust me i just did it. it was very hard but i got it.

It would take 0.5 seconds for the ball to hit the ground.

To solve this problem, we are to use one of newton equations. Let us use:

s = ut + (1/2)gt²

Where u is the initial velocity = 88 ft/s, s is the height = 48 feet and g is the acceleration due to gravity = 32 ft/s²

Hence:

48 = 88t + 0.5*32*t²

16t² + 88t - 48 = 0

t = -6 or 0.5

Since the time cannot be negative, hence t = 0.5 seconds

It would take 0.5 seconds for the ball to hit the ground.

Find out more on Newton law at: https://brainly.com/question/25545050

Answer:

how to make change for 50 cent.

Step-by-step explanation:

1. 3 dimes and 4 nickels

3 x 10 = 30. 4 x 5 = 20.

30 + 20 = 50

2. 2 quarters

25 + 25 = 50

3. 1 quarter and 2 dimes and 1 nickel

25 + 20 + 5 = 50

4. 5 nickels and 1 quarter

5 + 5 + 5 + 5 +5 + 25

Answer:

just look up cone calculator and you will find it