40 POINTS! DONT MISS OUT!

Answer:

x = -3

y = -2

z = 6

or

(-3, -2, 6)

Step-by-step explanation:

So first, lets construct our matrix:

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\2&1&1&-2\\1&-1&3&17\end{array}\right][/tex]

Now lets get it into reduced row echelon form. R₂ ⇒ -2R₁ + R₂

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&-5&7&52\\1&-1&3&17\end{array}\right][/tex]

R₃ ⇒ -R₁ + R₃

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&-5&7&52\\0&-4&6&44\end{array}\right][/tex]

R₂ ⇒ -1/5R₂

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&-4&6&44\end{array}\right][/tex]

R₃ ⇒ 4R₂ + R₃

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&0&\frac{2}{5}&\frac{12}{5}\end{array}\right][/tex]

R₃ ⇒ 5/2R₃

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&-\frac{7}{5}&-\frac{52}{5}\\0&0&1&6\end{array}\right][/tex]

R₂ ⇒ 7/5R₃ + R₂

[tex]\left[\begin{array}{ccc|c}1&3&-3&-27\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]

R₁ ⇒ 3R₃ + R₁

[tex]\left[\begin{array}{ccc|c}1&3&0&-9\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]

R₁ ⇒ -3R₂ + R₁

[tex]\left[\begin{array}{ccc|c}1&0&0&-3\\0&1&0&-2\\0&0&1&6\end{array}\right][/tex]

And now we have our matrix in reduced row echelon form. The solution to the system of equations would be:

x = -3

y = -2

z = 6

(-3, -2, 6)

I hope you find my answer and explanation to be helpful. Happy studying.

The equation is reduced in an echelon form given below. Then the value of x, y, and z will be −3, −2, and 6.

[tex]\begin{bmatrix} 1 & 3 & - 3 & | & -27\\ 2 & 1 & 1 & | & -2 \\ 1 & -1& 3 & | & 17\\\end{bmatrix}[/tex]

When a matrix in a row image is transformed, Gaussian eradication has been applied to the rows, and when it is in a column image is transformed, Gaussian extinction has been applied to the sections. In other words, if a matrix's transposition is in row normalized form, the matrix is in pillar echelon form.

Let the equations be a₁x + b₁y + c₁z = d₁, a₂x + b₂y + c₂z = d₂, a₃x + b₃y + c₃z = d₃.

Then the echelon form is given as,

[tex]\begin{bmatrix}a_1 & b_1 & c_1 & | & d_1\\ a_2 & b_2 & c_2 & | & d_2\\ a_3 & b_3 & c_3 & | & d_3\\\end{bmatrix}[/tex]

The equations are given below.

x + 3y − 3z = − 27

2x + y + z = − 2

x − y + 3z = 17

Then the solution to the system of equations will be done using a calculator. Then the value of x, y, and z will be

x = -3, y = -2, and z = 6

The equation is reduced in an echelon form and will be

[tex]\begin{bmatrix} 1 & 3 & - 3 & | & -27\\ 2 & 1 & 1 & | & -2 \\ 1 & -1& 3 & | & 17\\\end{bmatrix}[/tex]

More about the echelon form link is given below.

https://brainly.com/question/14693506

#SPJ2

Answer:

x= 1/2

Step-by-step explanation:

We can use Distributive property to solve this.

4(x+2)=10

4x+8=10

   -8   -8

4x= 2

4x/4= 2/4

x= 1/2

Hope this is right!

Answer: x = 2

Step-by-step explanation:

4(x+2)=10

4x + 8 =10

10 - 8  = 2

4x / 2 = 2

2 = x

hope this helps

plz mark brainleist

Answer:

See Explanation

Step-by-step explanation:

[tex]5y - x = 10 \\ \\ 5y = x + 10 \\ \\ y = \frac{x + 10}{5} \\ \\ y = \frac{x}{5} + \frac{10}{5} \\ \\ \huge \red{ \boxed{ y = \frac{1}{2} x + 2}}[/tex]

Answer:

less

Step-by-step explanation:

5000 yards converted to km is 4km which is less than 6 km

Answer:

I know this isnt helpful now but the answer is A

Step-by-step explanation:

Just solving for the intercepts:

y = x^2 - 2x - 48

Factor

(x + 6) (x - 8)

equal both problems to zero

x + 6 = 0

x - 8 = 0

solve

x = 8, and -6

Answer:

He made seven A's.

Step-by-step explanation:

360-220=140

140/20=7

Answer:

c

Step-by-step explanation:

The distance between is 12

Answer: 12

explanation: just search up a number line with negative and positive numbers

Answer:

b

Step-by-step explanation:

Answer:

first one

Step-by-step explanation:

Answer:

x=10 x=5

Step-by-step explanation:

absalute value is the numarical distance away from 0

Answer:

573

Step-by-step explanation:

5.73 x 10^2 is basically 5.73 x 100 which equals

573

Answer:

.9 miles per 5 minutes

dividing .9 by 5

equals .18 miles in 1 minute

Step-by-step explanation:

Answer:

0.0555 containers

Step-by-step explanation:

We need to find the unit rate for 54 pints of juice in 3 containers. It means we need to find quantity of juice in 1 container.

54 pints = 3 containers

1 pint = [tex]\dfrac{1}{18}\ \text{containers}[/tex]

or

1 pint = 0.0555 containers

So, unit rate is 0.0555 containers.

Answer:

Step-by-step explanation:

Factors of 20 = 1 2 4 5 10 20

Factors of 55 = 1 5 11 55

Factors of 90 = 1 2 3 5 6 9 10 15 18 30 45 90

Hcf = 5

Answer:

-3/7

Step-by-step explanation:

Negative reciprocal means to put a negative and sign and change the numerator and denominator to be in opposite places.

7/3 -> -3/7

Best of Luck!

Answer:

-3/7

This is the reciprocal. Then we just add a negative sign in front!

Answer:

C. The arc lengths are proportional: Arc C D = 4 arc E F.

Step-by-step explanation:

The question is incomplete. Here is the complete question.

In each circle below, a 50° angle with a vertex at the center of the circle is drawn. How are minor arc lengths CD and EF related?

Circle A and B are shown. Line segments D A and C A are radii with lengths of 8 centimeters. Angle D A C is 50 degrees. Line segments F B and E B are radii with lengths of 2 centimeters. Angle F B E is 50 degrees.

They are the same because the central angle measure is the same.

The arc lengths are proportional: Arc C D = 2 arc E F.

The arc lengths are proportional: Arc C D = 4 arc E F.

The arc lengths are proportional: Arc C D = 6 arc E F.

Using the formula for calculating the length of an arc to find the length of both arcs.

[tex]L = \frac{\theta}{360} * 2\pi r[/tex]

For the minor arc CD:

[tex]\theta = 50^0\\[/tex]

r = 8cm

L = 50/360 * 2π(8)

L = 5/36 * 16π

L = 80π/36

Length of CD = 20π/9 cm²

For the minor arc EF:

[tex]\theta = 50^0\\[/tex]

r = 2cm

L = 50/360 * 2π(2)

L = 5/36 * 4π

L = 20π/36

Length of arc EF = 5π/9 cm²

Find the relationship between both lengths:

From CD = 20π/9 cm²

CD = 4 * (5π/9 cm²)

since length of arc EF = 5π/9 cm²

Then arc CD = 4* arc EF

This shows that the length of arc CD is four times that of arc EF

Answer:

the first one

Step-by-step explanation:

since the y value is the same when x is zero it is the first one

Answer: the answer is indeed f(0) = g(0)

Hope this helps :)

Given:

A,B, and N are collinear and AB+BN= AN.

To find:

The point which is between the other two points.

Solution:

If A,B, and N are collinear, then these three points must be lie a single straight line.

AB + BN = AN

It means, the segment AN is the addition of two small segments AB and BN.

Using segment addition property, it is possible it and only if point B lies between A and N.

Therefore, the point B lies between A and N.

Answer:

  P(F) = 143/280

Step-by-step explanation:

The total number of female students is 109+34 = 143.

The total number of non-female students is 38+99 = 137.

Then the total number of students is 143+137 = 280.

If a student is picked at random, the probability they are female is ...

  P(F) = 143/280

Answer:

m (slope) = 13/-39 (13 over -39)

Step-by-step explanation:

To find the slope by using two points, we do rise over run (y over x)

y2-y1 (the numbers 1 and two don't matter, it's just to be sure that each point's numbers line up, for example, that -19 and 20 line up, and that 20 and 7 line up)

x2-x1

20-7 = 13

-19-20 = -39

Then, simplify

13/-39 cannot be simplified, so that is your answer.

Answer: x-6=-2

Step-by-step explanation:

when asking what 'blank' less than a number is, you are gonna subtract 'blank' from the number. Also, just incase, x=4.

Answer:

Options b) d) e)

Answer :i think its -13

Step-by-step explanation:

Answer:

Step-by-step explanation:

If we divide W(x) by (x-a) then the remainder is W(a)

W(x) = 2x³ - 5x - 7

x - a = x + 2    ⇒  a = -2

W(-2) = 2(-2)^3 - 5(-2) - 7 = 2(-8) + 10 - 7 = -16 + 3 = -13

Answer:

GPH

Step-by-step explanation:

Technically that's correct, but I think the problem wants you to orient the angle so that M corresponds with G and O corresponds with H.

Both angles 1 and 2 are Right Angles.

Both angles 1 and 2 are Supplementary Angles because they add up to 180°.

Answer:

Option (B)

Step-by-step explanation:

A function that models the value V of the stock portfolio as function of t is given by the graph.

Each grid on the y - axis measures = [tex]\frac{3-2}{4}[/tex] = 0.25

Each grid on the x - axis measures = 1 unit

Local maximum from the graph = (3, 2.5)

Global minimum = (13, 0.75)

Global maximum = (18, 3)

Local minimum = (13, 0.75)

Here local and global minimum of the function will be same as (13, 0.75).

Therefore, Option (A) will be the answer.

Answer:

Greater than/8/3>0.3

Step-by-step explanation:

If you turn 8/3 in to a decimal, you would get 2.666666666666666666666.

2 is a whole number which beats 0.3

Hope this helps!!!

Answer:

5y2

Step-by-step explanation:

Answer:

yes

Step-by-step explanation: