HELP!!! use Gauss-Jordan elimination to solve the following linear system

-x+6y=20

-x+3y=8

Step-by-step explanation:

Inverse of p matrix is in picture

i wish it will make u easy to do♥️✌️

Answer:

a = 4

Step-by-step explanation: Given that

ar=2 where a is the first term and is the common ratio.

ar=2 ............1

Also give that a/1-r = 8 where a is the first term and r is the common ratio as well.

a/1-r = 8 ......... 2

From equation 1 make r the subject

ar=2

r= 2/a...........3

Put equation 3 into 2

a/1-2/a =8

a÷1-2/a

a = 8(1-2/a)

a= 8/1-16/a

a/1= 8a-16

a^2= 8a-16

Rewriting the above equation

a^2-8a+16=0

This will eventually be

a^2-8a+16=0

(a-4)^2= 0

a =4

Answer:43

Step-by-step explanation:

Answer:0.0499

Step-by-step explanation:

Let x be a random variable that represents the salary for a data scientist.

Given: Average salary for a data scientist [tex]\mu=\$83105[/tex]

standard deviation [tex]\sigma=\$10503[/tex]

Sample size : n= 31

The probability that the mean salary of 31 randomly selected data scientists is less than $80,000.

[tex]P(\overline{X}<80000)=P(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{80000-83105}{\dfrac{10503}{\sqrt{31}}})\\\\=P(z<-1.646)\ \ \ [z=(\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(z<1.646)\ \ \ [P(Z<-z)=1-P(Z<z)]\\\\=1-0.9501= 0.0499[/tex]

Hence, the required probability = 0.0499.

Answer:

2.6

Step-by-step explanation:

Divide the numbers, then subtract them

Answer:

Rs. 7245

Step-by-step explanation:

Given parameters:

Cost price  = Rs. 6300

Percentage profit  = 15%

Unknown:

Selling price = ?

Solution:

If profit is made on a trade, the selling price is higher than the cost price.

 Profit  = Selling price  - Cost price

To find the selling price simply;

  Selling price  =( 1 + [tex]\frac{15}{100}[/tex])  x cost price

  Selling price  = 1.15 x 6300  = Rs. 7245

Answer:

Step-by-step explanation:

6x^2+4x-42

2(3x^2+2x-21)=0

3x^2+2x-21=0

3x^2+(9-7)x-21=0

3x^2+9x-7x-21=0

3x(X+3)-7(X+3)=0

(3X-7)(X+3)=0

So Answer is (3x-7)(X+3)

Answer:

See below.

Step-by-step explanation:

What you wrote means:

[tex] r = \dfrac{n}{2}(b + H) [/tex]

If that is what you meant, then the answer is:

[tex] \dfrac{2r}{n} = b + H [/tex]

[tex] H = \dfrac{2r}{n} - b [/tex]

On the other hand, if this is what you meant:

[tex] r = \dfrac{n}{2(b + H)} [/tex]

then the answer is:

[tex] 2r(b + H) = n [/tex]

[tex] 2rb + 2rH = n [/tex]

[tex] 2rH = n - 2rb [/tex]

[tex] H = \dfrac{n - 2rb}{2r} [/tex]

Answer:

Step-by-step explanation:

[tex]\frac{n}{2}(b + H) = r\\\\b +H = r * \frac{2}{n}\\\\b + H = \frac{2r}{n}\\\\H = \frac{2r}{n} - b[/tex]

Answer:999

Step-by-step explanation:11x9=999

A. in a linear equation in x and y x is indepdendt so y depends on it

Answer:

1) y=4x+5,  2) y=-2x+2,  3)y= 4/3x+4

Step-by-step explanation:

1) y=4x+5

2) y=-2x+c

-4= -2(3)+c

-4=-6+c

+6      +6

2=c

y=-2x+2

3) 4-0/0--3

4/3= gradient

y= 4/3x+c

4= 4/3(0)+c

4=0+c

4=c

y= 4/3x+4

Answer:

2 lesson with a remainer of $30

Step-by-step explanation:

$15 + $30 = $45

$45 multipled by 3 would equal 135 witch is $15 over ,

but $45 multiplyed by 2 would equal $90 with a remainer of $30 (jason could buy some McDonlads with that money , lol)

Answer:

71 I THINK

Step-by-step explanation:

since the angles on the base of an isosceles triangle equal each other you would wright 71=x as your equation. there is nothing else to solve so 71 is your answer

Answer:

x=4

Step-by-step explanation:

As the two angles are clearly congruent because of the bisector, we set them equal to each other:

7x=3x+16

4x=16

x=4

Therefore, the value of x is 4 and not 9

Answer:

i) 60 trees

ii) 3600 apples

Step-by-step explanation:

50 trees per acre

Total pounds produced per acre ( ideally ) = 70 * 50 = 3500 pounds

Assumption :

lets assume the additional tree = X

Therefore the number of trees planted per acre = ( 50 + x )  where x ≤ 30

calculate average yield per tree =   ( 70 - x )

Total yield per acre = number of trees * average yield per tree

                                 = ( 50 + x ) * ( 70 - x )

                           Y(x)   =  3500 + 20x - x^2

i) Number of trees that should be planted per acre to obtain maximum yield per acre

y'(x) = 20 - 2x = 0   hence X ( number of additional trees ) = 20 / 2 = 10

Number of trees that should be planted per acre = 50 + 10 = 60 trees

ii) Calculate maximum yield

where ; X = 10

number of trees planted per acre = ( 50 + x ) = 50 + 10 = 60

hence maximum yield  = ( 50 + x ) * ( 70 - x ) = ( 60 ) * ( 60 ) = 3600 apples

Answer:

2 then the square root of 7 then 9.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

√7,2,9.5

√7=2.645

So

Order the numbers from least to greatest is

2,√7,9.5 is the answer

Answer:

b

Step-by-step explanation:

it is 3 out of 5 ticks over to the left

Answer: N(t) = (2^t)*1500

Step-by-step explanation:

Let's define the hour "zero" as the initial population.

So if N(t)  is the number of bacteria after t hours, then:

N(0) = 1500.

Now, we know that the population doubles every hour, so we will have that after one hour, at t = 1

N(1) = 2*1500 = 3000

after two hours, at t = 2.

N(2) = 2*(2*1500) = (2^2)*1500

After three hours, at t = 3

N(3) = 2*(2^2)*1500 = (2^3)*1500

So we already can see the pattern, the number of bacteria after t hours will be:

N(t) = (2^t)*1500

Answer:

$6.78

Step-by-step explanation:

Add $10 +$6 +$2.75+$3+$5+$10+$10+$4+$12+$5 =$67.75

Now divide $67.75 by 10 which is the number of values you added up

$67.75/ 10 = 6.775

Now round to nearest cent = $6.78

Answer: m= 5/3

Step-by-step explanation: the point were at (-1,2) (-4,-3)

m= y2-y1/ x2- x1

m= -3-2/ -4 (-1)

m= -5/-3

m= 5/3

Answer: +3, -3

Step-by-step explanation:

ok so all you need to do is plug in that first equation into the second one.

x(5x) = 45

5x^2 = 45

x^2 = 9

x     = +3, -3

Answer:

d. 1 1/8

Step-by-step explanation:

-3 -1

---- ÷ -----

8. 3

Keep, Change, Flip.

-3/8 stays the same.

Division becomes multiplication.

-1/3 becomes -3/1

-3. -3. = 9

----- × ----- ------

8. 1. = 8

9/8 = 1 1/8

Answer:

D. 1 1/8

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

Simplify the radical by breaking up the radicand up into a product of known factors, assuming positive real numbers.

Answer:

A)  4[tex]\sqrt15\\[/tex]

Step-by-step explanation:

Start by factoring 240 to its prime factors

√240 = √10 · 24 =√2·5·2·2·2·3

look for pairs of numbers.  There are 2 pairs of 2s, so take those out of the radical

=  2·2√5·3

=  4√15

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Answer:

some tips

Step-by-step explanation:

- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.

Answer:

B. 30 Percent

15+9=24

24/80=30 Percent

Step-by-step explanation: