Which matrix represents the solution to the system of equations below?
2a+b+c=2
-a+b-C=-4
a-2b+2c= 6

Answers

Answer 1

Answer:

A!

Step-by-step explanation:

Edge 2021 :)

Answer 2

The solution to the system of equations  is a=2, b=-2 and c=0

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given equations are

2a+b+c=2 ...(1)

-a+b-C=-4 ...(2)

a-2b+2c= 6 ...(3)

Isolate a for 2a+b+c=2

a=2-b-c/2

substitute a in equation 2 and 3

-2+b+c/2 -b-c=-4

2-b-c/2-2b+2c=6

(3b-c-2)/2=-4

5b+3c+2/2=6

Isolate b for (3b-c-2)/2=-4

b=c-6/3

By simplification we get a=2, b=-2 and c=0

Hence, the solution to the system of equations  is a=2, b=-2 and c=0

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Related Questions

BRAINLIEST ANSWER IF CORRECT!!!!!
The function F has a removable discontinuity at?

Answers

Answer:

x=2

Step-by-step explanation:

Removable discontinuity is when you can connect the graph by filling in 1 singular point

. What are the slope and y-intercept of the line y = -6

Answers

Answer: Slope= undefined because it's just a straight line across and the Y intercept is -6 because thats where Y is at when X is 0

Will give brainliest A school chess club needs to raise at least $750 to attend a state competition. The club has already raised $400 and there are 4 months remaining until the competition. Which inequality and statement can be used to determine the dollar amount the club will need to raise during the remaining months?

Answers

Answer:

They need to raise $350 to attend the state competition.

Step-by-step explanation:

Answer:

$350

Step-by-step explanation:

750-400=350

The chess club needs to make $350 in a matter of four months to go to the state competition.

1. Gilbert wants to know the dimensions of his (3x2 – 12x + 9) square units
rectangular lot. What is the length and width of his lot?​

Answers

3x2=6-21=18babdhjbdjdbdnhdbdnd

im literally crying because im so stressed and i don't understand if you know the answer please help i will do anything :(

Answers

Answer: 9x + 45 = 9x + 45 Infinitely many

Step-by-step explanation: Use distributive property for the left and add like terms for the right

Answer:

9,45,9,45 and infinite

Step-by-step explanation:

ngl im probably wrong but i tried

Baking a tray of chocolate chip cookies takes three cups of milk and two cups of flour. Baking a tray of oatmeal raisin cookies takes one cup of milk and four cups of flour. The baker has 9 cups of milk and 16 cups of flour available. He makes $2.50 profit per tray of chocolate chip cookies and $2 profit per tray of oatmeal raisin. How many trays of each type of cookies should be make to maximize his profit?

Answers

Step-by-step explanation:

this is a linear programming problem.

the objective is to maximize profit

let the chocolate be x

and cookies be y

Maximize

2.5x+2y=P

constraint milk

3x+y=9------------------1

constraint flour

2x+4y=16----------------2

solving 1 and 2

3x+y=9

2x+4y=16

multiply 1 by 2 and 2  3 to eliminate x we have

  6x+2y=18

 6x+12y=48

-0-10x=-30

10y=30

y=30/10

y=3

put y= 3 in eqn 1 we have

3x+3=9

3x=9-3

3x=6

x=6/3

x=2

two trays of chocolate

three trays of cookies

2.5x+2y=P

2.5(2)+2(3)=P

5+6=P

P=$11

Laney bought 1 2/3 pounds of grapes. She also
bought bananas that were
2 1/4 times the weight of
the grapes. How much did the bananas weigh? helppppp

Answers

Answer:

The bananas weigh 3 3/4 pounds.

Answer: 3 3/4

Step-by-step explanation:

All we have to do is multiply the weight of the grapes by 2 1/4.

= 1 2/3 x 2 1/4

= 5/3 x 9/4

= 45/12

= 3 9/12

= 3 3/4

The scale of a map is 1.5cm : 75km. What is the actual distance between two
towns that are 3.5cm apart on the map?

Answers

Answer:

175 km

Step-by-step explanation:

1.5/75=3.5/x

1.5x=262.5

x=175

A pet store sells mice, reptiles, and birds.
Let event A = A customer buys a mouse.
Let event B = A customer buys a bird.
What does P(A or B) = 0.25 mean in terms of this problem?
A. Buying a mouse and buying a bird are mutually exclusive events.
B. The probability that a customer buys neither a mouse nor a bird is
25%.
C. The probability that a customer buys both a mouse and a bird is
25%.
D. The probability that a customer buys either a mouse or a bird is
25%.

Answers

D. the probability that a customer buys EITHER a bird or a mouse.

The correct answer is:  The probability that a customer buys either a mouse or a bird is 25%.

What is probability?

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e. how likely they are to happen, using it.

Given that, a pet store sells mice, reptiles, and birds,

Let event A = A customer buys a mouse.

Let event B = A customer buys a bird.

We need to tell that,

What does P(A or B) = 0.25 mean in terms of this problem,

So, here the statement given is saying that the 0.25 is the probability that a customer will buy either a mouse or bird,

Hence, the correct answer is:  The probability that a customer buys either a mouse or a bird is 25%.

Learn more about probability click;

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WILL GIVE YOU BRAINLIST
Rafe's kiddie pool is shaped like a square with an area of 220ft^2 . What is the approximate side length of the pool? (Between which two whole numbers does it fall?)

Answers

Answer:

a≈14.83ft

Step-by-step explanation:

Rafe’s kiddie pool has a square with an area of 220ft to the power of two. With this equation, all we need to do is find the square root. After finding the square root, we get a≈ 14.83ft

This is an opinion based question so plz don't delete i would actually like to know what people think.
Most of the math we learn in school do you actually think that we use half of it?
Also tell me how to give brainliest in your answer so I can give full points
please actually answer the question this is worth 50 points and i dont want to waste them

Answers

Answer:

Some subjects are more important than others. You have to be working in a field where the concepts you learn in school.

I'd say that everything you learn in middle school and Algebra 1 + 2 , maybe a little of geometry you'll use at some point in your life.

Step-by-step explanation:

Everyone has asked themselves: When will I use math? Well, hundreds of careers use skills learned in high school math on a daily basis. The truth is virtually every career you could choose will build on the basic skills learned in High School Math.

But there are a number of craft and fine arts careers that do not require math skills or involve using them regularly, such as being a painter or sketch artist. Craft and fine artists produce original works that will be displayed or sold, and they may work with a range of materials, such as paint, glass or ink.

To conclude I might say that math is important and everyone should know more than just some basic skills in math.Life is long and sometime harsh for most of us and not always we get in life what we want,probably we will end up doing a job that it was not our dream job.

Or our preferences might change depending on different aspects of life.So knowing a 'little bit' from every subject we do in school is not a bad thing,at the end we know all that greatest things are achived will a hard work!So we should learn as much as we can! Math especially!

And all our hard work will be payed at the end,just remember this!

:)

Home Algebra 1 Support Final Exam Term 1
y = 3x - 1
y = -3x - 1
Which describes the number of solution(s) to the system of linear equations shown above?
C
Exactly two
None
A
An infinite number
D
B
Exactly one

Answers

Answer:

B. Exactly one solution

Step-by-step explanation:

Here's something that I learned. Same slope different y-intercept (no solution). Same slope and same y-intercept (Infinitely many solutions). Different slope and same y-intercept (one solution). Different slope and different y-intercept (one solution).

When solving for x, the sine of 33º is used. What other angle and trigonometric function could be used to solve for x? a. cos 57º c. tan 57º b. tan 33º d. cos 33º
hurry

Answers

Answer:

The answer is A.Cos 57.

Step-by-step explanation:

Took the test..

Una tableta contiene 500 mg de paracetamol, ¿cuántas tabletas se obtendrán con 5kg del mismo medicamento? xfavor ayudenme con explicación y todo lo necesito para el sabado

Answers

Answer:

Se pueden obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad de 5 kg del medicamento

Step-by-step explanation:

La cantidad en masa de paracetamol en una tableta = 500 mg de paracetamol / tableta

El número de comprimidos que contienen 500 mg de paracetamol que se pueden obtener a partir de 5 kg del medicamento (paracetamol) se calcula dividiendo los 5 kg del medicamento por los 500 mg de paracetamol / comprimido de la siguiente manera;

[tex]El \ nmero \ de \ tableta = \dfrac{5 \ kg \ paracetamol}{500 \ mg \ paracetamol/tableta }[/tex]

Observamos que 5 kg = 5,000,000 mg

Por lo tanto;

[tex]El \ numero \ de \ tableta = \dfrac{5,000,000 \ mg \ paracetamol}{500 \ mg \ paracetamol/tableta } = 10,000 \ tabletas[/tex]

Por tanto, podemos obtener 10.000 comprimidos de 500 mg de paracetamol a partir de la cantidad dada de 5 kg del medicamento.

100 points if you do this correctly. Just simply tell me where the words need to be in struggling ;ccc (i can't give brainliest so reward is a bumblebee).

Answers

Answer:

one: perpendicular

2 : hypotenuse

Step-by-step explanation:

will give brainliest to actual answer

Answers

in    |   out

100 |  51

4    |  3

 6   |  4

30  |  16

60  |  31

rule: y = x/2+1

Please give me Brainly now

Answer:

i have to give brainliest to someone but i need anpother person to comment and that person is me <3

nirjnewqetwqwqq

2319234 +89324 5h342bjn fj

sfkm orwnrpijn wp gw

werkq enlhnfr494392

Step-by-step explanation:

rgwerhwreg

1829381

dsfkm sdnfipwngtgnhe njkmb gnjrfv cmksdijrgunjbkkkvlljhdgsjk

dg s;lkfgnsjfnglijfj sv 2789215

513

3253

3

3

5'

4rkk nkgb

Help!!!!!!!!!!!!!!!!!!!!!!

Answers

4+c (greater than or equal to sign, > with a line underneath) 30

help me please ! fast

Answers

Answer: q-56  > 0

Step-by-step explanation:

STEP 1

Equation at the end of step 1

 (q + 12) -  2 • (q - 22)  < 0

STEP 2

Equation at the end of step 2

56 - q  < 0

STEP 3

Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

q-56  > 0

It was 7 degrees below zero in the morning. By afternoon the temperature rose 15 degrees. How warm was it?

Answers

Answer:

8 degrees

Step-by-step explanation:

The temperature was -7 and then rose by 15, -7 +15 = 8

8 degrees

(-7) + 15 = 8

What is the answer I feel like this is wrong?

Answers

It's C! Substitute f(x) for 8 to get 8=x/2+5 then subtract 5 from both sides to get 3=x/2 then multiply both sides by 2 to isolate x and you get 6=x!

Answer:

x = 6

Step-by-step explanation:

8 = (x/2) + 5

subtract 5 by both sides

3 = (x/2)

multiply by 2 on both sides

6 = x

What is the degree of rotational symmetry for the following figure?

Answers

Answer with step-by-step explanation:

For a figure or object that has rotational symmetry, the angle of turning during rotation is called the angle of rotation. Example: when a square is rotated by 90 degrees, it appears the same after rotation. So, the angle of rotation for a square is 90 degrees.

im bought 10 used books at the yard sale How much did she pay? Did you use addition or multiplication to solve this problem? Why? Also the price of one book is 75 cents

Answers

It’s 7.5 because 10x0.75 is 7.5

1634 divided by 12 round it to the nearst tenth

Answers

Answer:

136.2

Step-by-step explanation:

Answer:

136.2

Step-by-step explanation:

1634/12=136.1666666667=136.2

Salon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile and 1/9 of an hour he bikes for miles in a quarter of an hour at these rights how many minutes does it take being to run 2 miles swim 2 miles in bike eight

Answers

Answer: 30 mins + 30 mins + 20 Mins

= 80 Minutes

Answerr this. Will also give branliest. helpp

Answers

Answer:

Angles 1 and 9 are corresponding angles

2 and 3 same side interior angles

8 and 12 are OTHER

6 and 12 are alternate interior

1 and 2 are linear pairs

15 and 11 are alternate interior

8 and 9 are same side interior

2 and 4 are corresponding

Step-by-step explanation:

Use the graph!

Brainliest??Hope it helped!

∠1 and ∠9 = Corresponding angles

2 and 3 = Same side interior angles

∠8 and ∠12 = Other

∠6 and ∠12 = Alternate interior angles

∠1 and ∠2 = Lineae pair

∠15 and ∠11 = Alternate interior angles

∠8 and ∠9 = Same side interior angles

∠2 and ∠4 = Corresponding angles

Shelia has 6 rings in a bag. There are 2 gold rings, 3 silver rings, and 1 plastic ring. Without looking, she picks one ring out of the bag and places it on her table. She then picks a second ring from the bag. What is the probability that the first ring is gold and the second ring is gold?

Answers

Answer:

the probability is 1/6. the probability for gold is 2/6

Step-by-step explanation:

2 gold rings and 4 other rings

Answer:

the probability of the first ring will be gold cause it's the second most one  and your second probability will most likely be the silver because it has more than the other rings

Step-by-step explanation:

An electronics manufacturer has 175 capacitors and the same number of capacitors is needed for each circuit board made. The manufacturer uses the capacitors to make 35 circuit boards. Identify and interpret the intercepts, then use the intercepts to graph the line

Answers

Animals eat grass except for carnivals but they all live till they dies in a clan of the

Answer:

its on google

Step-by-step explanation:

Which of the following is true about the lines defined by the equations 4x−2y=6 and x+2y=14? .
A.The lines share the same y-intercept.
B.Both lines intersect at point (1,−1).
C.The lines are perpendicular.
D.The lines are parallel.

Answers

Answer:

            Only:  C.  The lines are perpendicular.

Step-by-step explanation:

              4x - 2y = 6                           x + 2y = 14

           - 2y = - 4x + 6                        2y = - x + 14

               y = 2x - 3                             y = - ¹/₂x + 7

A.

y-intecept:  (0, -3)                                 (0, 7)

The lines don't share the same y-intercept

B.

x=1    ⇒   y = 2(1)-3 = -1      and        y = -¹/₂(1) + 7 = 6¹/₂ ≠ -1

the line  x+2y=14 doesn't go through point (1,−1) so the lines couldn't intersect at point (1,−1)

Slope:      m₁ = 2                                    m₂ = -¹/₂

C.

m₁· m₂ = 2·(-¹/₂) = -1

The lines are perpendicular.

D.

m₁  ≠  m₂          The lines are not parallel

Is the side length √ 23+3 rational or irrational? Explain your reasoning.
100 points but If you answer something random I will report.

Answers

Answer:

Irrational

Step-by-step explanation:

[tex] \sqrt{23 + 3 } = \sqrt{26} [/tex]

An irrational number is a number that cannot be written as a fraction. Therefore √26 is an irrational number.

Irrational

Step-by-step explanation:

An irrational number is a number that cannot be written as a fraction. Which means that √23 is an irrational number.

subtract. write your answer in scientific notation.
(7.15×105)–(5.964×105)

Answers

Answer:

124.53

Step-by-step explanation:

7.15×105=750.75

5.964×105=626.22

750.75-626.22=  124.53

lmk if this is right or not :)

Answer with step-by-step explanation:

(7.15 × 105) - (5.964 × 105) = 124.53

750.75 - 626.22 = 124.53

Hope this helped! (brainliest please)

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