Which situation results in a final value of zero

[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.

Answer:

47.05

Step-by-step explanation:

12345678910^#3:##;$$;$%#;#<÷&÷#7#;;^#

Answer:

Well, After 5 years No interest you'd still have only 2,300 dollars in the bank.

But 5 years with interest you'd have 5750$ in the bank.

Step-by-step explanation:

With no interest, their is nothing added to your bank account, if you don't take anything away from it either then you'd still have the exact same amount.

With 2.5% monthly interest you'd get 3250$ because...5years * 12 months = 60 months...60 months * 2.5% = 150%...2,300$ + 150% = 5750$.

Answer:

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128

Answer:

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128

Step-by-step explanation:

Answer:

reflection reflection

Step-by-step explanation:

rotation doesn't make sense and there is no indication of a center of rotation.

so the obvious answer is reflection reflection

Answer:

The probability of pulling out a blue marble is 33.3%.

Step-by-step explanation:

Given that Taylor had a bag of 28 marbles, which were 5 red, 9 blue, 8 yellow, and 6 black, if Taylor pulled out a yellow one and did not put it back in, to determine what is the probability of pulling out to blue marble the following calculation must be carried out:

28 - 1 = 27

9/27 = X

0.333 = X

0.333 = 33.3%

Therefore, the probability of pulling out a blue marble is 33.3%.

Answer:

 The vertex of the parabola   = (-7 , -4)  

Step-by-step explanation:

Step(i):-

Given that the parabola  y = 4 x² + 56 x +192

                                 y = 4 (x² + 14 x + 48 )

                                 y = 4 ( x² + 2 ×  7 (x) + 49-1)

                                 y = 4 ( x² + 2 ×  7 (x) + 49)- 4

we apply the formula

(a +b)² = a² + 2ab + b²

                                y = 4 ( x + 7 )² - 4

Step(ii):-

The general form of the parabola in algebraically

                              y = a ( x-h)² +k

The equation

                          y = 4 ( x + 7 )² - 4

                          y = 4 ( x-(-7))² - 4

  The vertex of the parabola (h,k) = (-7 , -4)  

Final answer:-

The vertex of the parabola  = (-7 , -4)  

Answer:

1. 40

2. 40

3. 140

4. 210.5

I tried, hope this helps :)

Answer:

5

Step-by-step explanation:

1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.

2.)  Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.

3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).

4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).

5.) Now, subtract both interquartiles. This should give you your answer (5).

The area of the rectangle is A = 4 4/27 inches²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Let the length of the rectangle be L = 2 2/3 inches

Let the width of the rectangle be W = 1 5/9 inches

So , Area of Rectangle = Length x Width

On simplifying , we get

Area of rectangle A = 2 2/3 inches x 1 5/9 inches

A = ( 8/3 ) ( 14/9 )

A = ( 112/27 )

On further simplification , we get

A = 4 4/27 inches²

Hence , the area of rectangle is A = 4 4/27 inches²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

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Answer:

ohhhhh and who is the jeweler

Answer:

median-75

mode-70

range-40

mean-77

Step-by-step explanation:

Answer:

Your answer is 24.333.

Step-by-step explanation:

..If you round this, it would be 24 or 24.3. you get this answer by doing 3650 divided by 150.

Answer:

false

Step-by-step explanation:

200oz= 12.5 pounds

Answer:

false

Step-by-step explanation:

12 pound=192 ounces

Answer:

6>x<10

Step-by-step explanation:

also put a line under both > <

Answer:

4m + 14

Step-by-step explanation:

m = # movies Mia has

2m = # movies Eli has

14 + m = # movies Doug has

Total:  m + 2m + 14 + m = 4m + 14

Step-by-step explanation:

  [tex]a^{2} + 10a + 24[/tex]

= [tex]a^{2}[/tex] + 6a + 4a + 24

= a(a + 6) + 4(a + 6)

= (a + 6)(a + 4)

Answer:

solution:

[tex] {a}^{2} + 10a + 24[/tex]

a²+6a+4a+24

a(a+6)+4(a+6)

(a+6)(a+4) is your answer

Answer:

C

Step-by-step explanation:

there are 4 of the exact same line going in 4 directions

Answer:

21

Step-by-step explanation:

4x+6+4x+6=180

8x+12=180

8x=168

x=21

Answer:

X=21

Step-by-step explanation:

Well since its just a right angle you really gotta only solve for one since their their the same things.

4x+6=90

Solve the equation

x=21

Even if you do the two together with 180, same thing.

Answer:

The answer is c

Step-by-step explanation:

Answer:

13/52

Step-by-step explanation:

Answer:4

Step-by-step explanation:

30÷8=3.75

3.75=4

Manny need 4 bags.

Answer:

A- II

B- I

C- III

D- IV

Step-by-step explanation:

Answer:

The ranking of the top three teams could occur in 720 ways.

Step-by-step explanation:

The order in which the teams are ranked is important, that is, for example, Oilers, Flames and Canucks is a different outcome of Oilers, Canucks and Flames. This means that the permutations formula is used to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In how many ways could the ranking of the top three teams occur?

Three teams from a set of 10. So

[tex]T = P_{(10,3)} = \frac{10!}{7!} = 720[/tex]

The ranking of the top three teams could occur in 720 ways.

Answer:

the answer is 48

Step-by-step explanation:

12×12=144

4×12=48

Answer:

A sample of 139 should be taken.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Population standard deviation of $3,000.

This means that [tex]\sigma = 3000[/tex]

How large a sample should be taken if the desired margin of error is $500?

A sample of n is needed.

n is found when M = 500. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]500 = 1.96\frac{3000}{\sqrt{n}}[/tex]

[tex]500\sqrt{n} = 1.96*3000[/tex]

Dividing both sides by 500

[tex]\sqrt{n} = 1.96*6[/tex]

[tex](\sqrt{n})^2 = (1.96*6)^2[/tex]

[tex]n = 138.3[/tex]

Rounding up:

A sample of 139 should be taken.

Answer:

 [tex]a_n=a+(n-1)d[/tex]

Step-by-step explanation:

The given sequence is 22, 20, 18, ...

We need to find the explicit formula for an.

First term is 22

Second term = 20

Third term = 18

We can write the formula as :

[tex]a_n=a+(n-1)d[/tex]

Where

a is 22

d is common difference = 20-22 = -2

Forth term will be :

[tex]a_4=22+(4-1)(-2)\\\\=22-6\\\\=16[/tex]

Hence, the formula is [tex]a_n=a+(n-1)d[/tex].

hi

-16t²+250 = 75

-16t² = 75 -250

-16t² = -175

  t² = -175 /-16

 t² = 175/16

Here there si two solutions :  t = [tex]\sqrt{175/16}[/tex]   and  t =  - [tex]\sqrt{175/16}[/tex]

However, as time cannot rewind,  we will  keep only positive solution

So t = [tex]\sqrt{175/16}[/tex]

in seconds  it will be  :  3.3 seconds