Solve the system using a matrix.
3x -y + 2z =7
6x -10y + 3z =12
x – y + 4z = 9
([?],[ ], [ ] )
Give your answer as an ordered triple.​

Answers

Answer 1

Answer:

(1, 0, 2)

Step-by-step explanation:

[3   -1  2 | 7  ]

|6 -10  3 | 12|

[1   -1   4 |  9 ]

To the first row, add -3 times the values of the third row

To the second row, add -6 times the values of the third row

[0   2  -10 | -20 ]

|0  -4  -21 | -42 |

[1    -1    4 |  9   ]

To the second row, add 2 times the values in the first row

[0   2  -10 | -20 ]

|0  0  -41  | -82 |

[1    -1    4 |  9   ]

z =  -82 / -41

z = 2

2y - 10(2) = -20

y = 0

x - 0 + 4(2) = 9

x = 1


Related Questions

3) You roll a number cube what's the probability of
rolling a number higher than 4 and then a 2?

Answers

Answer:

1/18

Step-by-step explanation:

Probability of getting a number higher than 4=1/3

Probability of getting 2=1/6

Probability of rolling a number higher than 4 and then a 2=(1/3)*(1/6)=1/18

Graph the line with slope -3/4 passing through the point (2,2)

Answers

Step-by-step explanation:

the answer is in the graph above

Gross income is:

A. the amount of pay after tax and benefit deductions.
B. the amount of pay after tax but before benefit deductions.
C. the total amount of earned salary or wages.
D. the total amount an employer withholds for taxes.​

Answers

Gross income is: The total amount of earned salary or wages. Option C is the correct answer.

Gross income refers to the total amount of money earned by an individual before any deductions or taxes are taken out. It represents the complete earnings from employment or other sources of income before any adjustments or deductions are made.

Gross income includes the full amount of salary or wages earned by an individual, as well as any additional income such as bonuses, commissions, or tips.

Option A is incorrect because gross income is the total amount earned before tax and benefit deductions are applied.

Option B is incorrect because gross income is not after tax, but rather before any tax deductions.

Option D is incorrect because gross income does not specifically refer to the amount withheld for taxes, but rather the total amount earned before any deductions.

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Solve the equation. 4x2 + 20 = -7​

Answers

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if (x+30) and (3x+10)are co interior angle.Find the value of x


Answers

Answer:19

Step-by-step explanation:

3x3=9 then add by 10 giving u the sum of 19

<3

Answer:

x = 35

Step-by-step explanation:

Co interior angle sum to 180° , so

x + 30 + 3x + 10 = 180 , that is

4x + 40 = 180 ( subtract 40 from both sides )

4x = 140 ( divide both sides by 4 )

x = 35

Find the equation of the line with the slope 3/2 through the point (-6,2)

Answers

Step-by-step explanation:

y-y1=slope (x-x1)

where x1=-6,y1=2 and slope=3÷2

y-2=3÷2{x-(-6)}

y-2=3÷2(x+6)

y-2=(3x+18)÷2 cross multiply

2y-4=3x+18 collect like terms

2y=3x+18+4

2y=3x+22....ans

How many solutions does the nonlinear system of equations graphed
below have?
Y=-1/64(x-16)^2+4 Y=-1/2x-4

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The graphs have two (2) points of intersection. Each point of intersection is a solution to the system of equations. The coordinates of that point satisfy both equations simultaneously.

There are 2 solutions to the graphed system of equations.

Renaldo can rollerblade 9.7 miles per hour. at this rate, how far will he rollerblade in 0.75 hours?​

Answers

Answer:  1.125 miles

Step-by-step explanation:

a system of equations is given below in terms of the scalar parameters a and b.

ax + 2y+ 4z = b

2x +y+3z= a+1

5x-2y+ (a+1)z= 3

(1) Show that if a = -5 or a=2, the system does not have a unique solution.​

Answers

A system of equations only has a unique solution if all the equations are linearly independent (this means that we have two or more equations representing the same curve).

Here we have the system:

a*x + 2*y + 4*z = b

2*x + y + 3*z = a + 1

5*x - 2*y + (a + 1)*z = 3

Now we want to show that if a = -5 or a = 2, then the system does not have a unique solution.

To see this, we can just replace a by these values and see that the equations are not linearly independent.

for a = 2 we get:

2*x + 2*y + 4*z = b

2*x + y + 3*z = 2 + 1

5*x - 2*y + (2 + 1)*z = 3

Simplifying this:

2*x + 2*y + 4*z = b

2*x + y + 3*z = 3

5*x - 2*y + 3*z = 3

From the second and third equation we can write:

2*x + y + 3*z = 3 = 5*x - 2*y + 3*z

2*x + y + 3*z = 5*x - 2*y + 3*z

2*x + y = 5*x - 2*y

3*y = 3*x

y = x

now that we know this, we can rewrite the equations as:

4*(x + z) = b

3*(x + z) = 3

Now we can take the quotient of the two equations to get:

(4*(x + z))/3*(x + z) = (4/3) = b/3

b = 4

Then the equations become:

4*(x + z) = 4

3*(x + z) = 3

Here we can divide te above one by 4 and the below one by 3 to get:

(x + z) = 1

(x + z) = 1

So both equations represent the same line, thus, the system does not have a unique solution.

Now for a = -5:

-5*x + 2*y + 4*z = b

2*x + y + 3*z = -5 + 1

5*x - 2*y + (-5 + 1)*z = 3

Simplify it:

-5*x + 2*y + 4*z = b

2*x + y + 3*z = -4

5*x - 2*y  - 4*z = 3

Now we can rewrite the first equation as:

-5*x +2*y - b = -4*z

and the third one as:

-4*z = 3 - 5*x + 2*y

Then we can write:

-5*x +2*y - b = -4*z = 3 - 5*x + 2*y

-5*x +2*y - b = 3 - 5*x + 2*y

Now we can remove the -5*x in both sides to get:

+2*y - b = 3 + 2*y

Now we can remove the 2*y in both sides to get:

-b = 3

b = -3

Replacing this in our system we get:

-5*x + 2*y + 4*z = -3

2*x + y + 3*z = -4

5*x - 2*y  -4*z = 3

Now we can multiply the first equation by -1:

-1*(-5*x + 2*y + 4*z)= -1*(-3)

5*x - 2*y - 4*z = 3

This is the same as the third equation, so here we can see that the first and third equations represent the same line, thus, the system of equations does not have a unique solution.

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The greatest 6 digit even numbers with 4 in the ten thousand place and all digits different

Answers

Answer:

948,762

Step-by-step explanation:

The greatest six digit number would have to start with 9. It is given that the four is in the ten thousand place. Since no number can be repeated. I put the next largest number to 9 in the thousands place which is 8. I then put 7 then 6.  Since the number has to be even I put 2 since 8, 6 and 4 were already used.

The greatest 6 digit even numbers with 4 in the ten thousand place and all digits different is 948,762.

What are even numbers?

An even number is an integer that can be divided by two and remain an integer or has no remainder.

Now it is given that,

greatest 6 digit even numbers with 4 in the ten thousand place and all digits different

So, the greatest will be starting from 9

Digit at the ten thousand place is fix, 4

Digit at the thousand place is 8

Digit at the hundred place is 7

Digit at the ten place is 6

Since, it is an even number then it must be divisible by 2.

So, last digit at ones is 2

Thus we get, 948,762

hence, the greatest 6 digit even numbers with 4 in the ten thousand place and all digits different is 948,762.

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What is the value of 3-(-2) ?

Answers

Answer:

3  + 2 = 5

                          Thank You

helppppp maybee pplsss

Answers

Answer:

CD and BE

BC and DE

...........

Please, someone, help

Answers

Answer:

I will help

Step-by-step explanation:

[15-(|-6+2|+ squareroot9)]^2
can anyone explain the steps for how to solve it too? i’m confused :(

Answers

Answer:

1936

Step-by-step

[tex][15 - (1 - 6 + 21 + \sqrt{9} )] ^{2}[/tex]

use BIDMAS

(1 - 6 + 21 + [tex]\sqrt{9}[/tex]) = (1 - 6 + 21 + 3) = (1 - 30) = -29

[15 - -29] = [15 + 29] because two minuses together make a plus

[tex]44^{2}[/tex] = 1936

prince covers 1200 meter distance in 10 minutes . calculate his velocity ​

Answers

The answer is two meters per second

Answer: 120 m/min or 2 m/s

Concept:

Here, we need to know how to calculate velocity.

Velocity = ΔD / ΔT

The SI unit of velocity is m/s

Solve:

Given information

Distance = 1200 m

Time = 10 min

Given expression

Velocity = ΔD / ΔT

Substitute values into the expression

Velocity = 1200 / 10

Velocity = 120 m/min

Extra:

**Disclaimer** Ignore this part if it is irrelevant to what you are learning.

If the question needs an answer with SI unit, then please see below:

Given information

Distance = 1200 m

Time = 10 min = 10 × 60 = 600 sec

Given expression

Velocity = ΔD / ΔT

Substitute values into the expression

Velocity = 1200 / 600

Velocity = 2 m/s

Hope this helps!! :)

Please let me know if you have any questions

Order of operations 8x18/4+15

Answers

Answer:

8×18=144

4±15=19

144÷19

7.579 answer

Which number produces a rational number when added to 1/2?
A. 4.35889894...
B. 0.314
C. 12
D. TT

Answers

Answer:

B and C

Step-by-step explanation:

A is a non terminating number which means it isn't rational. B and C are both rational and adding 1/2 to them won't change that, since they are terminating numbers. D is not a number.

Answer:

12+1/2 (0.5 as a decimal)

Step-by-step explanation:

π +0.5 will give an irrational number.

0.314 is rational

12 is a counting number.

And 4.35889894... is an irrational number.

An irrational number plus a rational one equals an irrational number.

Hope it helps! Please mark Brainliest! :-)

If I'm 4years and my brother is half of my age now I'm 44 how old is he ?

Answers

Answer:

22

Step-by-step explanation:

If you are 4 and he is half your age that would make him 2 meaning that he is 2 years younger than you so if you are now 44 then he would be 2 years younger than you so he would 42

f(2) if f(x) = 3x + 5. f(2)?

Answers

Answer:

f(2) = 11

Step-by-step explanation:

Plug 2 in for x

3(2) + 5

6 + 5

= 11

What is the correct way to notate the shaded
region indicated by this Venn Diagram?

Answers

The correct notation will be A∪B and it can be read as A union B

In the given Venn diagram we can deduce the following;

U: this is the universal set, it comprises all the elements in set A and set B, as well as the compliments of set A and set B.A: this is include the elements contained in set AB:  this include the elements contain in set BA∩B: this includes the elements in common for both set A and set B. This is often read as A intersect B.A∪B: this include all the elements contained in both set A and set B. This often read as A union B.

The shaded region in the Venn diagram includes all the elements in set A and all the elements in set B.

Thus, the correct notation will be A∪B and it can be read as A union B.

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A Venn Diagram is a diagram used to define sets.

Here we will find that the notation of the shaded region is: A ∪ B

To know this, we need to define all of the notations in the options:

A ∩ B:  This is the intersection of sets A and B, so this is the set of the elements that belong to both sets.A ∪ B: This is the set of all the elements that belong to either A or B (or both)A ⊂ B: This means that set A is included in B¬A (or a set with a line on top): Represents the set of all the elements that do not belong to A.

So with these general notations, is easy to conclude that if we have shaded sets A and B completely, then we have the set: A ∪ B

The correct option is C.

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find the solution to this systems of equations

Answers

Answer: I dont know

Step-by-step explanation:

Answer:

x= -y+1

y=2x+z−1

z=−x−2y+ 8 /3

Step-by-step explanation:

I honestly entered it into a algebra calculator which gave me the steps.

Woolworths had a going out of business sale. The price of a telephone before the sale was $39.98. What was the price of the telephone after a 30% discount? If the sale price of the same telephone had been $23.99, what would the percentage discount have been?

Answers

to find the price after the discount the equation would be 39..98x.30which would equal 11.99. subtract that from the price before the discount and you get $27.99. thats your first answer. to find the second answer you would do 23.99 divided by 11.99 (the diacount from the first equation) to get the discount rate of 2% so your final answers are $27.99 and 2%

What is the answer for number 74.

Answers

Answer:

g

Step-by-step explanation:

Solve each equation for the
variable.
n + 3 = 8







4 + w = -8

Answers

1.) answer: 5
Steps subtract 3 from both sides 8-3 is 5 so x is 5

2.) answer: -12
Because the 4 is positive you subtract it on the other side to cancel it out and -4 +-8 is -12 so x is -12

What is one root of this equation?

2x^-4x+9=0

Answers

9514 1404 393

Answer:

  1 +i√3.5

Step-by-step explanation:

In vertex form, the equation is ...

  2(x² -2x +1) +7 = 0

  2(x -1)² +7 = 0

Then the solutions are ...

  (x -1)² = -7/2

  x = 1 ±i√3.5

One solution is 1+i√3.5.

Point B is between points A and C. AB = 2x - 3, BC = 7x - 10, and AC = 32.
What is the value of x?

Answers

2x-3 + 7x - 10 = 32
9x -13 = 32
9x = 45
X=5

What is 50 divided by 8?

Answers

Answer:

6.25 or 6 2/8 or 6 R2

Step-by-step explanation:

need help......................................... I DO ANYTHING

Answers

Step-by-step explanation:

Additive inverse are numbers with the same number but different signs. For example, 1 and -1 are additive inverse.

An additive inverse and it original number add to zero.

For example,

[tex]1 + ( - 1) = 0[/tex]

Using this info, w is -0.8

0.8 and -0.8 are equidistant from 0.

-0.8 is 2 mark to the right of -1.

So this means that 0.8 is 2 mark to left of 1.

Can you guys plz help me

Answers

Answer:

The segment CD is a diameter . It is 15 cm long.

Class 8 squares and square roots without adding find the sum of a) 1+3+5+7+9+11+13+15+17.

Answers

Answer:

given

n=9

a=1

d=3-1=2

Step-by-step explanation:

now , by formula,

sn = n/2(2a+(n-1)d)

= 9/2(2×1+(9-1)×2)

=9/2×18

=81

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