use Cramer's rule to solve for y without solving for x,a and w in the system:
first equation:2w+x+y+z=3
second equation:-8w-7x-3y+5z=-3
third equation:w +4x+y+z=6
fourth equation: w+3x+7y-z=1

Answers

Answer 1

To solve for y using Cramer's Rule without solving for x, z, and w, we can use the following steps:

Create a determinant of the coefficients of the system.Create a determinant for each variable, where the variable is replaced by the corresponding determinant of the coefficients of the other variables.Divide the determinant for y by the determinant of the coefficients.

The answer is y = -1.

Cramer's Rule is a method for solving a system of linear equations. It uses determinants to solve for the unknown variables.

To use Cramer's Rule, we first need to create a determinant of the coefficients of the system. This determinant is called the system determinant.

| 2w | x | y | z |

| -8w | -7x | -3y | 5z |

| w | 4x | y | z |

| w | 3x | 7y | -z |

Next, we need to create a determinant for each variable, where the variable is replaced by the corresponding determinant of the coefficients of the other variables.

| x | -7x | 4x | 3x |

| y | -3y | y | 7y |

| z | 5z | z | -z |

Finally, we divide the determinant for y by the system determinant.

y = ( | x | -7x | 4x | 3x | ) / ( | 2w | x | y | z | )

Evaluating this determinant, we get y = -1.

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Related Questions

Will be marking brainliest for the correct answer!!

Maximum answers is 3, so please 3 of the following ^^

Answers

Answer:

x = 6

11/2x + 2/3x = 37

37/6x = 37

Step-by-step explanation:

these are correct since when you evaluate the equation, you only get 6 being the value for x. And all these three options I wrote above lead to x = 6

Hope this helped :)

Are the ratios 1:2 and 4:7 equivalent?

Answers

Answer:

No

Step-by-step explanation:

By multiplying each ratio by the second number of the other ratio, you can determine if they are equivalent.

Can some help me pls

Answers

Answer:

1. 0=0

2. x= -3

3. 14=0

Step-by-step explanation:

I tried I'm sorry if it's wrong

Solve 12/y = 4/3
Solution is____

Answers

Answer:

y=9

Step-by-step explanation:

12/y=4/3

3×12/y=3×4/3

36/y=4

y×36/y= 4×y

36=4y

36/4=4y/4

9=y

I’m going to guess16

Find the exact value of the integral fx=-2² dx. -2x² 500 dx

Answers

The given integral is: $$\int (-2x^2 + 500)dx$$

To solve the above integral, we integrate both terms separately. Using the integral formulas, $$\int x^n dx= \frac{x^{n+1}}{n+1}+ C$$$$\int kf(x)dx= k\int f(x)dx$$

where C is a constant of integration and k is a constant.

The integral $\int -2x^2 dx$ is:\begin{align*} \int -2x^2 dx &= -2\int x^2 dx\\&= -2\times \frac{x^{2+1}} {2+1} + C\\&= -\frac {2}{3}x^3+ C\end{align*}

The integral $\int 500 dx$ is:\begin{align*}\int 500 dx &= 500\int dx\\&= 500\times x + C\\&= 500x + C\end{align*}

Thus, the integral $\int (-2x^2 + 500) dx$ is:\begin{align*}\int (-2x^2 + 500) dx &= \int -2x^2 dx + \int 500 dx\\&= (-\frac {2}{3}x^3+ C_1) + (500x + C_2)\\&= -\frac {2}{3}x^3+ 500x + C\end{align*}

where C is a constant of integration and $C=C_1+C_2$.

Therefore, the exact value of the integral is $-\frac {2}{3}x^3+ 500x + C$.

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When performing polynomial regression, we should use the
smallest degree that provides a good fit. Why?

Answers

When performing polynomial regression, it is advisable to use the smallest degree that provides a good fit.

Polynomial regression involves fitting a polynomial function to a set of data points. The degree of the polynomial represents the highest power of the independent variable in the equation.

By using the smallest degree that provides a good fit, we aim to strike a balance between model complexity and overfitting.

Using a smaller degree helps prevent overfitting, which occurs when a model becomes too complex and captures noise or random fluctuations in the data. Overfitting leads to poor generalization, meaning the model may perform well on the training data but poorly on new, unseen data.

By using the smallest degree that provides a good fit, we minimize the risk of overfitting and ensure that the model captures the underlying trend in the data without incorporating unnecessary complexity.

This approach helps create a more robust and reliable model for making predictions on new data.

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1.There are 270 students at an elementary school. There are 5 boys for every 4 girls. How many boys attend the school?
2. 4 small candies cost $0.96. How much do 6 candies cost?
3. 3 bags of chips cost $5.55. How much does 2 bags of chips cost?
4. 5 movie tickets cost $55. At this rate, what is the cost per ticket?

Answers

Answer:

Step-by-step explanation:

1.  Not sure...

2. $ 1.44

3. $ 3.70

4. $11 per ticket

I NEED HELP WITH THIS PLS ASAP!!!

Answers

You should try D since 2.3, 9, and .123...aren’t really considered Irrational. I may be wrong, it may be C, but try D since that one makes more sense tbh.

The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?

Answers

Answer:

12 discs

Step-by-step explanation:

Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.

A_rectangle = length × width

A_rect = 56 × 33

A_rect = 1848 cm²

It is now melt down and recast into disc's of 7 cm radius and similar thickness.

Thus;

Area of one disc = πr² = π × 7² = 49π

Thus,number of disc's cast = 1848/49π

number of disc's cast = 12

5. At the end of the performance, the band marches off the field to the right, moving the entire sine curve. Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line. What is the equation of the sine curve representing the position of the band members in Asa’s picture?

Answers

While playing, they move, but still maintain the sinusoidal function, ... 5.At the end of the performance, the band marches off the field to the ... Asa grabs his camera to takes a picture of the entire football field. At the instant he takes the picture, the first person forming the curve now stands at the 5 yard line.

A figure is made up of with seven X rodes and five Y rodes . If X= 3 and Y= 5 calculate the perimeter with the formula.

OPTIONS:
8
46
50
40

Answers

46? Since we got 7*3+5*5 and that is 21+25=46.


What is the equation of the above graph in vertex form?

Answers

Answer:

https://brainly.com/question/3677306

Step-by-step explanation:

Select all of the prime numbers from the list that can divide the number 10 exactly.
A2

B 3

C 5

D 7

E 11

F 13

G 17

H 19

I 23

Answers

Answer:

2 and 5

Step-by-step explanation:

2×5 = 10 or visa versa

10 ÷5=2

10 ÷2 =5

file:///C:/Users/TOSHIBA/Downloads/SISTEMA%20DE%20MEDICION%20ANGULOS%20(1).pdf

necesito solo las respuestas de la ultima pregunta, por favor

Answers

Answer:

I was unable to see this link. Sorry.

Step-by-step explanation:

How do I solve this arithmetic sequence?

Answers

Answer:

The 16ᵗʰ term of this sequence is 82

Step-by-step explanation:

Here,

First Term = a₁ = 9

Common Difference = (d) = 2

Now, For 16ᵗʰ term, n = 16

aₙ = a + (n - 1)d

a₁₆ = 7 + (16 - 1) × 2

a₁₆ = 7 + 15 × 5

a₁₆ = 7 + 75

a₁₆ = 82

Thus, The 16ᵗʰ term of this sequence is 82

-TheUnknownScientist

Define a sequence a,, so that ao = 2, a₁ = 3, and an = 6an-1-8a-2.

Answers

The sequence {aₙ} defined by a₀ = 2, a₁ = 3, and aₙ = 6aₙ₋₁ - 8aₙ₋₂ produces the terms:

2, 3, 2, -12, -88, -432, ...

To define the sequence {aₙ}, given a₀ = 2, a₁ = 3, and the recursive formula aₙ = 6aₙ₋₁ - 8aₙ₋₂, we can calculate the subsequent terms of the sequence.

Using the given initial conditions, we have:

a₀ = 2

a₁ = 3

To find a₂, we substitute n = 2 into the recursive formula:

a₂ = 6a₁ - 8a₀

   = 6(3) - 8(2)

   = 18 - 16

   = 2

To find a₃, we substitute n = 3 into the recursive formula:

a₃ = 6a₂ - 8a₁

   = 6(2) - 8(3)

   = 12 - 24

   = -12

Continuing this process, we can find the subsequent terms of the sequence:

a₄ = 6a₃ - 8a₂

   = 6(-12) - 8(2)

   = -72 - 16

   = -88

a₅ = 6a₄ - 8a₃

   = 6(-88) - 8(-12)

   = -528 + 96

   = -432

and so on.

Therefore, the sequence {aₙ} defined by a₀ = 2, a₁ = 3, and aₙ = 6aₙ₋₁ - 8aₙ₋₂ produces the terms:

2, 3, 2, -12, -88, -432, ...

Please note that if you need the general formula for the nth term of the sequence, it may require a different approach as the given recursive formula is not a linear recurrence relation with constant coefficients.

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Find the percent change from the first value to the second.
20;30
The change is (select)

Answers

Answer:

increase by 10%.

Suppose that in a large batch of chocolate chip cookies, the number of chips in a given cookie is in a normal distribution with mean 7.5 and standard diviation 1.2.

(a) What is the probability that a cookie has less than 9 chips?
(b) What is the probability that a random sample of 4 cookies has an average of less than 9 chips per cookie?

Answers

If a normal distribution with a mean of 7.5 and a standard deviation of 1.2. (a) The probability that a cookie has less than 9 chips is 0.8944. (b) The probability that a random sample of 4 cookies has an average of fewer than 9 chips per cookie is 0.9938.

As μ = 7.5, σ = 1.2. The number of chips in a given cookie is in a normal distribution. We need to estimate the following probabilities:

(a) For this, we need to identify the probability of a Z-score when X=9. We can calculate it using the formula,

Z = (X-μ)/σ.

Therefore,

Z = (9-7.5)/1.2 = 1.25.

Now we can use the standard normal distribution table or calculator to identify the probability associated with the Z-score of 1.25. Using the calculator, P(Z < 1.25) = 0.8944.

(b) For this, we need to identify the probability of the Z-score when X = 9, n=4. We can calculate it using the formula,

Z = (X-μ)/(σ/√n).

Therefore,

Z = (9-7.5)/(1.2/√4) = 2.5.

Now we can use the standard normal distribution table or calculator to identify the probability associated with the Z-score of 2.5. Using the calculator, P(Z < 2.5) = 0.9938.

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{1+8+27+64+125...} find the next 9 terms

Answers

Answer: 216, 343, 512, 729, 1000, 1331, 1728, 2197, 2744

Step-by-step explanation: The terms are the cubes of the numbers 1, 2, 3, 4, 5...

{..216+342+512+729+1000+1728+2197+2744}

daniel bought 6 shirts for $28.93 if he paid the same price for each shirt how much would he spend if he bought 15 shirts?

Answers

Answer:

i dont know do it yourself chump

Step-by-step explanation:

please dont put any links or I'll report:(​

Answers

Answer:

1000

Step-by-step explanation:

volume of prism formula=b*w*h(base times width times height)

10*10*10(10^3)=1000

Answer: 1,000 m

Step-by-step explanation:

To find volume you have to multiply: LengthxWidth,Height so you would do 10x10x10 and get 1,000 m

HOPE THIS HELPS ^^

(c) Let X and Y be independent random variables such that XY is degenerate at c≠0 i.e., P(XY = c) = 1. Show that X and Y are also degenerate.
(a) Suppose two buses, A and B, operate on a route. A person arrives at a certain bus stop on this route at time 0. Let X and Y be the arrival times of buses A
(c) Let X and Y be independent random variables such that XY is degenerate at c≠0 i.e., P(XY = c) = 1. Show that X and Y are also degenerate.
5. (a) Suppose two buses, A and B, operate on a route. A person arrives at a certain bus stop on this route at time 0. Let X and Y be the arrival times of buses A

Answers

(a) Let X and Y be the arrival times of buses A and B respectively, it is given that buses A and B are independent and hence X and Y are independent random variables.

Therefore, X and Y are also degenerate at c.

Since a person arrives at the bus stop at time 0, the arrival times of buses A and B cannot be negative

i.e., X, Y ≥ 0.

Also, both buses cannot arrive at time 0

i.e., P(X = 0, Y = 0) = 0.

Now, suppose that X and Y are not degenerate. T

hen, their joint distribution function is given by:

F(X, Y) = P(X ≤ x, Y ≤ y) > 0, for some x, y ≥ 0.

Using the independence of X and Y, we get:

F(X, Y) = P(X ≤ x)P(Y ≤ y) > 0,

for some x, y ≥ 0.

Since P(XY = 0) = 0,

we have XY ≠ 0 and

hence P(XY = c) > 0,

for some c ≠ 0.

Now, for a fixed ε > 0,

let Bε = {(x, y) : |xy - c| < ε}.

Then, P((X, Y) ∈ Bε) > 0.

Similarly, let B'ε = {(x, y) : x < ε} and

B''ε = {(x, y) : y < ε}.

Then, P((X, Y) ∈ B'ε) > 0

and P((X, Y) ∈ B''ε) > 0.

Now, we have:

Bε ⊆ B'ε ∪ B''ε and (X, Y) ∈ B'ε

if and only if X < ε and (X, Y) ∈ B''ε

if and only if Y < ε.So,

using the union bound and taking ε small enough, we get:

P(X < ε) + P(Y < ε) > P((X, Y) ∈ Bε) > 0.

This contradicts the assumption that P(X = 0, Y = 0) = 0.

Therefore, X and Y must be degenerate.

Now, we will show that if XY is degenerate at c ≠ 0

i.e., P(XY = c) = 1,

then X and Y are also degenerate at the same point.

To see this, note that for any Borel sets A, B ⊆ R, we have:

P(X ∈ A, Y ∈ B) = P(XY ∈ A × B) = P(XY = c)

= 1, if (c ∈ A × B) or (c is an isolated point of A × B).

Therefore, X and Y are also degenerate at c.

This completes the proof of the required statement.

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which is the simplified form for
2(3a+5)+8(a-1)

a. 20a+10
b. 18a+9
c. 12a+14
d. 14a+2


miku nakano here

Answers

LOL.

2(3a + 5) + 8(a - 1)

= 6a + 10 + 8a - 8

= 6a + 8a + 10 - 8

= 14a + 2

Answer: Choice C. [ 14a + 2 ]

I think it’s A but I think that I am incorrect. I’m in desperate need of the answer.

Answers

Answer:

It would be D

Step-by-step explanation:

Statements apply to the expression 8^3 ?check all that apply

Answers

Answer: So, 8%3 = 2

Step-by-step explanation:

What is debt-to-income ratio and how do you figure it out?

Answers

To calculate your debt-to-income ratio:

Add up your monthly bills which may include: Monthly rent or house payment. ...

Divide the total by your gross monthly income, which is your income before taxes.

The result is your DTI, which will be in the form of a percentage. The lower the DTI; the less risky you are to lenders.

A rectangle prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic meters

Answers

Answer:

1350 m³

Step-by-step explanation:

To find the volume of a rectangular prism, we have to multiply its length, width, and height together.

The dimensions of this prism are 9, 10, and 15.

9 · 10 · 15 = 1350

The volume is 1350 meters³.

I hope this helps ^^

Need actual help (please hurry)

Answers

a. n=5
20=4n
29/4=n
5=n

Solve the system of equations using the elimination method
2y - 3y = -9
-x + 3y = 6
(-3,3)
(1,3)
(3,3)
(-3,1)

right answer gets brainliest

Answers

9514 1404 393

Answer:

  (d)  (-3, 1)

Step-by-step explanation:

We assume a typo in the problem statement, and that the equations are supposed to be ...

  [tex]2x -3y = -9\\-x +3y = 6[/tex]

Adding the two equations gives ...

  x = -3

Substituting for x in the second equation gives ...

  3 +3y = 6

  1 + y = 2 . . . . divide by 3

  y = 1 . . . . . . . subtract 1

The solution is (x, y) = (-3, 1).

Plzz help everything is in the screen shot

Answers

Answer:

#1

Yesy = x + 1

#2

Yesy = -2x

#3

No

#4

No
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