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

-x+6y=20

-x+3y=8

Answer:

14.5 feet

Step-by-step explanation:

the midpoint is halfway from 30 to 45 so be(bart elevation) b.e = 45 - 30 / 2

7.5 m above sea level

__________________________________________________________

We are given:

The elevation of Homer = -30 feet                         [30 feet below sea level]

The elevation of Marge = +45 feet                         [45 feet above sea level]

The elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

The elevation of Bart:

We are given that the elevation of Bart is at the exact mid-point of the elevations of Homer and Marge

So, Half the distance between the elevation of Homer and Marge is the elevation of Bart

Elevation of Bart (with respect to the elevation of Homer) =

(elevation of Marge - Elevation of Homer) / 2

replacing the variables with the suitable values:

(+45 - (-30))/2

(45 + 30) / 2

75 / 2

Elevation of Bart (w.r.t. Homer) = 37.5 feet

Since this is the elevation of Bart with respect to Homer, we can say that Bart is 37.5 m above Homer

So, we can say that:

Elevation of Bart (w.r.t Homer) = Elevation of Bart - Elevation of Homer

replacing the values

37.5 = Elevation of Bart -(-30)

37.5 = Elevation of Bart + 30

Elevation of Bart = 7.5 m above sea level [subtracting 30 from both sides]

Answer:

i can't really see to clear ..

Step-by-step explanation:

Given:

Principal value = $65,550

Rate of interest = 3% compounded every six month

To find:

The taken to have $100,000 in Jack's account.

Solution:

The formula for amount is

[tex]A=P(1+\dfrac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is number of times interest compounded in an year, t is time in number of years.

Interest compounded every six month. It means, interest compounded 2 times in an year.

Substitute A=100000, r=0.03 and n=2 in the above formula.

[tex]100000=65550(1+\dfrac{0.03}{2})^{2t}[/tex]

[tex]\dfrac{100000}{65550}=(1+0.015)^{2t}[/tex]

[tex]1.525553=(1.015)^{2t}[/tex]

Taking log on both sides.

[tex]\log (1.525553)=\log (1.015)^{2t}[/tex]

[tex]\log (1.525553)=2t\log (1.015)[/tex]

[tex]\dfrac{\log (1.525553)}{2\log (1.015)}=t[/tex]

[tex]t=14.1838928[/tex]

[tex]t\approx 14.18[/tex]

Therefore, after 14.18 year the amount will reach at $100,000 or we can say that in 15th year the amount will reach at $100,000.

Answer:

Um... Ok..

Step-by-step explanation:

...

Answer:

Three. 2x, -3y, and 8.

Step-by-step explanation:

For every constant or variable, there is a term.

In this expression, there are two variables (x and y) and there is a constant (8).

Hence, there are three terms.

Hope this helped!

Answer:

180

Step-by-step explanation:

Answer: ejejejwjfmfmdnc

Step-by-step explanation:

The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.

Answer:

The point Q is (2,3)

Step-by-step explanation:

Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).

The required point Q must satisfy the relation:

d(RQ) = 2/3 d(RS)

Where d is the distance between two points.

The horizontal and vertical axes also satisfy the same relation:

x(RQ) = 2/3 x(RS)

[tex]x_R-x_Q=2/3(x_R-x_S)[/tex]

And, similarly:

[tex]y_R-y_Q=2/3(y_R-y_S)[/tex]

Working on the first condition:

[tex]-2-x=2/3(-2-4)=2/3(-6)[/tex]

Removing the parentheses:

[tex]-2-x=-4[/tex]

Adding 2:

[tex]-x = -2[/tex]

x = 2

Similarly, working with the vertical component:

[tex]1-y=2/3(1-4)=2/3(-3)[/tex]

Removing the parentheses:

[tex]1-y=-2[/tex]

Subtracting 1:

[tex]-y = -3[/tex]

y = 3

The point Q is (2,3)

Answer:

Step-by-step explanation:

Not wanting to be trite, i'd still suggest that you use a calculator for routine division.  Round off your answer (quotient) to an appropriate number of decimal places.

For example, 2/3 comes out to 0.66666 ... (repeating decimal).  You might want to round this off to 2 decimal places: 0.67.

The old fashioned "long division" is another method.

       0  .  6

    -----------

3  /   2  .  0   0   0

       0.    0  0    0

   ---------------------

        1.     8

and so on.  You still need to round off the quotient to a suitable number of decimal places.

Answer:

B) Statistic

Step-by-step explanation:

The mean age of U.S. first ladies when they married would be a Statistic. This is because the mean age would be a specifically targeted value of the population that is being analyzed. In this scenario, the population would be all of the First Ladies, while the Sample would be the data gathered from the population under certain parameters. Statistics can be a variety of different values that revolve around the samples gathered such as average age, average height, max number of blue-eyed First Ladies, etc.

Answer:

Step-by-step explanation:

Answer:

10 tshirts or 5 sweatshirts

Step-by-step explanation:

One t-shirt + one sweatshirt = $30.

We know that $100 ÷ $30 = 3 times with $10 left over.

This leads to the conclusion that you can buy 4 t-shirts and 3 sweatshirts.

Answer:

x = 12

Step-by-step explanation:

[tex] \because BD \perp AC... (given) \\\\

\therefore m\angle DBA =90\degree... (1)\\\\

\because m\angle DBA=(7x + 6)\degree... (2)\\[/tex]

From equations (1) & (2)

[tex](7x + 6)\degree= 90\degree \\\\

7x + 6 =90\\\\

7x = 90 - 6\\\\

7x = 84\\\\

x = \frac{84}{7}\\\\

\huge \orange {\boxed {x = 12}} [/tex]

Answer:

A

Step-by-step explanation:

We have the two functions:

[tex]f(x)=-4x+3\text{ and } g(x)=3x^2+2x-4[/tex]

And we want to find (f+g)(x).

Note that this is the same thing to f(x)+g(x). Therefore:

[tex]\begin{aligned} (f+g)(x)&=f(x)+g(x) \\ &=(-4x+3)+(3x^2+2x-4) \end{aligned}[/tex]

We simply substituted them for their equations.

Simplify. Combine like terms:

[tex]=(3x^2)+(-4x+2x)+(3-4)[/tex]

Add:

[tex]=3x^2-2x-1[/tex]

Hence, our answer is A.

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

we can solve this using the distance formula: [tex]\sqrt{(x_{2}-x_1)^{2} + (y_{2}-y_1)^{2}}[/tex]

[tex]x_1, y_1[/tex] is (3, 1)

[tex]x_2, y_2[/tex] is (-1, -2)

[tex]\sqrt{(1-3)^2 + (-2-1)^2}[/tex]

which simplifies to: [tex]\sqrt{(-2)^2 + (-3)^2}[/tex]

then: [tex]\sqrt{2^2 + 3^2}[/tex] or: [tex]\sqrt{4+9}[/tex]

your final answer is: [tex]\sqrt{13}[/tex] or about 3.61

Answer: v(t)= 2(t-3)^2-32

-32 thousand dollars

Step-by-step explanation:

Did the quiz

Answer:

the first one is correct

Step-by-step explanation:

Answer:

51.265242 ng/gm ; 26.473257 ng/gm

Step-by-step explanation:

The standard error of the mean = standard deviation / √sample size

Given that:

mean concentration = 1,269 ng/gm

Standard deviation (s) = 145 ng/gm

Standard Error if 8 rats were measured :

Sample size (n) = 8

Standard Error = s / √n

Standard Error = 145 / √8

Standard Error = 145 / 2.8284271

Standard Error = 51.265242 ng/gm

If 30 rats were measured :

Standard Error = 145 / √30

Standard Error = 145 / 5.4772255

Standard Error = 26.473257 ng/gm

Answer:

Y-intercept is (0, 100) and the X-intercept is (-250, 0)

Step-by-step explanation:

For the y-intercept the line from the origin does not move left or right and stays at 0 but it goes up by 100.

For the x-intercept the line does not go up and down but it goes to the left -250.

Answer:

The answer is

A. 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

So for the fewest days it would be 3 days. The reason for that is because she has 254 pound coins. And she can inly take 5 bags to the bank a day, all of those 5 bags have 100 pound coins in them. If she take 2 days and get 200 pound coins to the bank. Then on the third day she would only have to bring three bags. So your answer for the fewest days possible is three days!

Hope it helps

Answer:

A) f(x) = 0.85x

B) g(x) = x - 1500

C) g(f(x)) = $14650

D) f(g(x)) = $14875

Step-by-step explanation:

A) The list price is x and a 15% discount is applied.

Thus;

f(x) = x - 15%x

f(x) = 0.85x

B) We are told that the manufacturer offers a $1500 rebate for each purchase of a car.

Thus, the function g(x) to represent the price after the rebate is applied is;

g(x) = x - 1500

C)if the discount is applied before the rebate, the function is;

g(f(x))

Now,

f(x) = 0.85(19000)

f(x) = 16150

g(x) = x - 1500

Thus;

g(x) = 16150 - 1500

g(x) = $14650

D) If discount after rebate, then we have; f(g(x))

g(x) = 19000 - 1500

g(x) = 17500

f(g(x)) = 0.85(17500)

f(g(x)) = $14875

It's 65. Because you add the other angles and get 90+25 and get 115. 180 -115 = 65.

Answer:

c=65°

Step-by-step explanation:

180-90=90

90-25=65

hopefully this helps :)

I believe its a reflection

Sorry if im wrong

I think u got right answer...

The x intercept is (9/2,0) or (4.5,0). The y intercept is (0,-1):)

Answer:

Ok

Step-by-step explanation:

Answer:

US basketball legend Kobe Bryant and his daughter Gianna were among nine people killed in a helicopter crash in the city of Calabasas, California. Bryant, 41, and Gianna, 13, were travelling in a private helicopter when it came down and burst into flames. The LA county sheriff said there were no survivors.

Answer:

A. Expression

Step-by-step explanation:

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.