What is a 3 variable system?

Answers

Answer 1

The three variable system is written as (x, y, z).

Here we have to find the definition of three variable system.

basically a solution of a system in three variables is an ordered triple (x, y, z) that makes all three equations true.

On the other hand it is what they all three have in common.

Where as the solution to a system of three equations in three variables (x, y, z) is called an ordered triple.

In order to solve these one we have to do the following:

First we have to pick any two pairs of equations from the system.

And then we have to eliminate the same variable from each pair using the Addition/Subtraction method.

Final step is to solve the system of the two new equations using the Addition/Subtraction method.

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Related Questions

can some one please help me please

Answers

Answer:

D. Last one

Step-by-step explanation:

the 5 and the 3 in the parenthesis is the price for the large toy car while being added to the price of the small toy car outside the parenthesis equaling to the total price

Answer:

C , THE THIRD ONE

$18.00

Step-by-step explanation:

5×3=15

$3+$15=$18

If total employee benefits are calculated as a percentage of their gross pay, which of the following employees receives the largest percentage of their gross pay in employee benefits? ​

Answers

Answer: the answer is the option

Employee B: gross pay $32,900, total job benefits $34,000

hope this helped you

help! what is the missing length?

Answers

Answer:

Hello! answer: 30

Step-by-step explanation:

32 × 30 = 960 HOPE THAT HELPS!

Yeah I believe it’s 60 ^^^^^

From a group of 5 counselors and 8​ teachers, 3 counselors and 2 teachers will be selected to attend a conference. In how many ways can the selection be​ made?
A.
38
B.
3360
C.
280
D.
240

Answers

It would probably be A

What is m A- 28
B- 31
C- 62
D- 90
E- 118

Answers

Answer:

D. 90

Step-by-step explanation:

If a triangle is inscribed inside of a circle, using the diameter as the hypotenuse, then the opposite angle of the hypotenuse is equal to 90 °

Because ΔABC is inscribed inside of the circle using the diameter it is a right triangle.

∠ABC is the angle opposite of the diameter therefore ∠ABC = 90°

Sugar cookies make up 38% of all sales for a local baker's cookie sales. If the baker sold 133 sugar cookies, how many total cookies did the baker sell?

Answers

The total number of cookies baker sold in all are 350 cookies.

What is percentage?

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, sugar cookies make up 38% of all sales for a local baker's cookie sales.

Let the total number of cookies be x.

Now, 38% of x=133

38/100 ×x=133

x=13300/38

x=350

Therefore, the total number of cookies baker sold in all are 350 cookies.

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22 - {[(87 - 32) divided by 5] × 2}

Answers

22 − ( ( ( 87 − 32 ) ÷ 5 ) × 2 )

Simplify each term.

22 − 22

Subtract  22  from  22 .

= 0

A group consisting of 14 aggressive zombies quadruples in size every hour. Which equation matches the number of zombies after 6 hours?

Answers

The exponential equation that matches the number of zombies after 6 hours is the possible option;

Z = 14 × 4⁶

What is an exponential equation?

An exponential equation is one in which the argument is an index or power of a constant.

The initial number in the group of zombies = 14

The amount by which the group increases every hour = The group quadruples every hour

The required equation; The equation that matches the number of zombies after 6 hours

The information in the question indicates that the sequence is a exponential, which can be presented using the following equation;

Z = a·rⁿ

Where;

Z = The number of zombies after n hours

a = The first term = The initial number of zombies in the group = 14

r = The common ratio = The amount that multiplies members of the group every hour = 4

n = The number of hours after which the number in the group is evaluated

Therefore, after 6 hours, n = 6, and we get;

a₆ = 14 × 4⁶ = 14 × 4⁵ = 14336

The equation from the possible options, obtained from a similar question posted online, that matches the number of zombies after 6 hours is therefore;

Z = 14 × 4⁶

The possible options are;

Z = 4·(14)⁶

Z = 4·(1 + 14)⁶

Z = 14·(1 + 4)⁶

Z = 14·(4)⁶

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Shondra borrowed $200 for the books she needed for her second semester of college. The finance charge on the loan was $12, and the term of the loan was 21 days. What was the APR of Shondra's loan?

Answers

Answer:

the Annual percentage rate of shondra loan is 104.28%

Step-by-step explanation:

Given that

The borrowed amount is $200

The finance charge is $12

And, the term of the loan is 21 days

We need to find out the APR of the loan

so,

= (($12 ÷ $200) × 365) ÷ 21 × 100

= 104.28%

hence, the Annual percentage rate of shondra loan is 104.28%

I need help with this geometry!

Answers

Answer:

[tex]7.8(sin23^o)[/tex]

Step-by-step explanation:

[tex]Sin23=\frac{opp}{hyp}[/tex]

[tex]Sin23=\frac{BC}{7.8}[/tex]

[tex]0.3907=\frac{BC}{7.8}[/tex]

[tex]BC=3.04746[/tex]

----------------------

hope it helps...

have a great day!!


please help and explain
Which represents the value of x?​

Answers

The first option would be the correct answer because you have the outer angle at 121 degrees and a straight angle adds up to 180 degrees so 121 - 180 = 59. Now you have the original angle on the inside which is 47 degrees and you add 47 + 59 and you get 106. Since this shape is a triangle you would do 180 - 106 to get your last angle which would be 74. Hope this helps!

3y2 + 4ab + 7y2 + ab

Answers

Answer:

Combine like terms:

10y2 + 5ab

Step-by-step explanation:

Is your simplified algebraic expression.

What is an equivalent expression example?

Answers

A given set of expressions are known as equivalent expression if and only if the result after evaluating those expression is the same number.

Example,

3 + 2 = 5

4 + 1 =  5

5 + 0 = 5

These three are equivalent as because the sum of all of them is same , i.e., 5.

An equivalent expression is an expression which consists of variables, coefficients, constants, and mathematical functions such as addition, subtraction, multiplication, and division.

In general, if two objects are identical, they are then called as identical.

These expressions are also known as duplicates of each other though they look different but they are same.

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Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Simplify the complex numbers using de Moivre's Theorem and match them with their solutions 2(3+1) 2. cos(20°) + sin(20°)] 2[ coo(4)+isin(7)]* (-1+i) -41 (1+1) -16 4+4731 Reset Next

Answers

The complex numbers are solved using De Moivre's Theorem and then are matched with their respective solutions.

What is De Moivre's Theorem?

De Moivre's formula, also known as the theorem and identity of de Moivre, says that for any real number x and integer n, holds -

(cos x + i sin x)^n=cos nx + i sin nx

where i is the imaginary unit (i^2 = 1).

Also, [r(cos x + i sin x)]^n = r^n(cos nx + i sin nx) or [r cis x]^n = [r^n cis nx].

The first complex number is (1+i)^5.

Solve using De Moivre's formula -

(1+i)^5 = [√2{(1/√2)+(i/√2)}^5]

=(√2)^5[cos(π/4)+i sin(π/4)]^5

=(√2)^5[cos(5π/4)+i sin(5π/4)]

=(√2)^5[(-1/√2)-(i/√2)]

=4(-1-i)

=-4-4i

The second complex number is (-1+i)^6.

Solve using De Moivre's formula -

(-1+i)^6=(1-i)^6

=[√2{(1/√2)-(i/√2)}^6]

=(√2)^6[cos(-π/4)+i sin(-π/4)]^6

=(√2)^6[cos(-6π/4)+i sin(-6π/4)]

=8(0+1i)

=8i

The third complex number is 2[cos(20)+i sin(20)]^3.

Solve using De Moivre's formula -

2[cos(20)+i sin(20)]^3=2^3[cos(60)+i sin(60)]

=8[(1/2)+{(√3)i/2}]

=4+4√3i

The last complex number is 2[cos(π/4)+i sin(π/4)]^4.

Solve using De Moivre's formula -

2[cos(π/4)+i sin(π/4)]^4=2^4[cos(4π/4)+i sin(4π/4)]

=16[cos(π)+i sin(π)]

=16(-1+i(0)]

=-16

Therefore, the complex numbers are solved using the theorem.

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(2×/×+3)- (×/×-3)=(3÷3-×)​

Answers

Answer:

x = 6

Step-by-step explanation:

(2×/×+3)- (×/×-3)=(3÷3-×)​

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

2 + 3 - 1 + 3 - 1 = x

8-2 = x

x = 6

Pls help this is math work

Answers

Answer:

∠ R = 35° , ∠ T = 45°

Step-by-step explanation:

since the triangles are similar then corresponding angles are congruent, so

∠ R = ∠ U = 35°

∠ T = ∠ Q = 45°

028)
the cost to insure jewellery is a fixed amount plus a percentage of the value of the jewellery. it costs 32$ to insure 1000$ worth of jewellery or 44.5$ to insure 3500$ worth of jewellry.what is the fixed amount to insure jewellery?

i wrote jewellery so much it isnt a word anymore send help ( explanatio ) asap!

Answers

Answer:

The fixed cost to insure jewellery is $0.602.

Step-by-step explanation:

We can use the information provided to set up a system of two equations in two variables, and then use the system to solve for the fixed cost of insuring the jewellery. Let x be the fixed cost and y be the percentage of the value of the jewellery. Then we can write the following two equations:

1000x + 1000y = 32 (1) (cost equation for insuring $1000 worth of jewellery)

3500x + 3500y = 44.5 (2) (cost equation for insuring $3500 worth of jewellery)

We can use either of these equation to solve for the fixed cost(x), to do that we can first solve for y from either of the equation, and then substitute it in other equation.

From equation (1)

y = (32 - 1000x) / 1000

then substitute this in equation (2)

3500x + 3500((32-1000x) / 1000) = 44.5

3500x + 32 - 3500x =44.5 - (1000x)

-20x = -12.05

x = 0.602 $

So, the fixed cost to insure jewellery is $0.602.

That means you have to pay $0.602 as a fixed cost, in addition to 0.01(y) as a percentage of the value of jewellery to insure it.

NEED HELP ASAP DUE SOON!!!! This scatter plot shows the relationship between the amount of time, in hours, spent working on an essay and the grade, as a percent, earned.
Enter the approximate slope of the estimated line of best fit.

Answers

Answer:

5  % per hour

Step-by-step explanation:

Pick two of the grid points the line seems to go through.  I'm using (0, 50) and (4, 70).

Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\frac{70-50}{4-0}=\frac{20}{4}=5[/tex]

Se seleccionan un grupo de datos de 120 personas donde 40 tienen una estatura promedio de 1.70 y 50 tienen una estatura de 1.68 y 10 están entre las dos estaturas: encuentre la probabilidad de los faltantes estén en las estaturas.

Answers

what are u saying ????????/?

i can't read spanish

please help me again thank you

Answers

Answer:

The answer is 28.26 hope that helps

The linear function F is defined as f(x) = -2x + 3. Consider the graph of y = f(x) in the xy-Plane.

If the function g(x) = f (x) + k, where k = 2, describe the changes to the slope and y-intercept of this transformation.

Answers

The changes to the slope and to the intercept of the linear function after the transformation g(x) = f(x) + k, in which k = 2, are given as follows:

The slope remains constant.The intercept is increased by two.

What is the definition of a linear function?

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients are given as follows:

m is the slope.b is the y-intercept.

The function f(x) in this problem is given as follows:

f(x) = -2x + 3.

Meaning that it has a slope of -2 and and intercept of 3.

The function g(x) is defined as follows:

g(x) = f(x) + k.

Since k = 2, we have that:

g(x) = f(x) + 2

g(x) = -2x + 3 + 2

g(x) = -2x + 5.

Hence the slope and the intercept are given as follows:

Slope of -2, which is the same as f(x).Intercept of 5, which is an increase of 2 compared to the intercept of f(x).

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S2 Alg I Unit 3B Common Unit Assessment (MC&CR) / 5 of 11
If (x - 3)2 = 5, what vakies of x make the quadratic equation TRUE?
O A. 3+5
ОВ.
+
3
O C. -5+3
O D. -3 + 5

Answers

It is beans and Obama 3+8 and u have to simplify for negative

Maksim was asked on a test "What is the domain of the function: f(x) = √(x - 2)? Explain." Maksim responded with "The function f(x) = √(x - 2) has a domain of all real numbers because any number can be put in for x." Explain if Maksim's answer and explanation were correct. Make sure to use at least two pieces of evidence to support your claim. If he is wrong, state the actual domain.

Answers

Answer:

Maksim's answer and explanation are not correct

The actual domain is 2 < x < Infinity

Step-by-step explanation:

The domain of a function is the set that is made up of the possible inputs of the function

The given function is f(x) = √(x - 2)

Maksim's response for the domain of f(x) is x ∈ R ('x' is a member of the set of all real numbers

The function is not defined when x < 2, at which the expression, x - 2, will become negative, and for which the square root of the negative number is imaginary

Therefore, the domain for which the function is defined is all real numbers larger than 2, which can be presented as follows;

The domain of f(x) = 2 < x < ∞

Therefore Maksim is wrong as the actual domain is limited to 2 < x < ∞.

The total number of books sold from 2010-2015 from
Amazon can be modeled by the function
3
2
f(x) = 40x + 8x + 14824x + 33000and the number of kinds
of books at Amazon from that same time period can be modeled
as g(x): =
10x + 22, where x is the number of years since
2010. What is the average number of each kind of book
Amazon sold?

Answers

Answer:

If you want to find out how many print copies the book is selling, just click the Paperback or Hardcover edition of the book on Amazon, scroll down to Product Details on that page, and find the Amazon Best Sellers Rank for the print edition.

Step-by-step explanation:


What is the difference?
X/x^2-16 - 3/x-4

Answers

Answer:

B

Step-by-step explanation:

How is the relationship between the formula for the volume of a cone and the formula for the volume of acylinder

Answers

The volume of the cylinder is calculated by using the product of the area of its base by its height. ... Therefore, the volume of a cone is . So, we can take a logical conclusion: “the volume of a cone means the third part of the volume of a cylinder having the same base and the same height”.

Can someone please help me with these pleaseeeee

Answers

96 is for answer 1 all you have to do is 180 subtract from the other 2 number and you will get the answer

Algebra: PLEASES QUICK DUE SOON!!!
In Completing the Square problems, what formula do you use to find c?

Answers

Answer:

Solve the equation  

x2−(3+1)x+3=0

by the method of completing the square. i dont know if its right

Step-by-step explanation:

Select the interval where f is negative.

Answers

Answer: A

Step-by-step explanation:

Based on the graph, we know that it is negative if it is under the x-axis. It is also indicated by the negative labels.

A: correct

Looking at choice A, it says the interval is from -4<x<-2. This means we have to find x=-4 and x=-2. On the graph, that interval is below the x-axis, so it is negative.

B: incorrect

Looking at choice B, it says the interval is from -1<x<1. This means we have to find x=-1 and x=1. On the graph, that interval is above the x-axis, so it is positive, not negative.

C: incorrect

Looking at choice C, it says the interval is from 2<x<4. This means we have to find x=2 and x=4. On the graph, that interval is above the x-axis, so it is positive, not negative.

Therefore, A is the correct answer.

What are the 3 types of translations in math?

Answers

Translation, reflection and rotation
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