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Both 7671092952 and 10000000000 both have a GCF of 8.

$\frac{7671092952}{10000000000}\div\frac{8}{8}=\frac{958886619}{1250000000}$

That just looks terrible, though! 

Time to follow the instructions and see how it pans out. This one came from the internet.

Here's another one that I uploaded from the computer that I used some time ago to answer a question:

Finding the inverse of an equations requires a few steps. I will use the orginal function $f(x)=2x^2+2x-1$

1. Change $f(x)$ to $y$.

This means that $f(x)=2x^2+2x-1$ changes to $y=2x^2+2x-1$. That is all that this step entails.

2. Replace all instances of y with x and all instances of y with x

This step is relatively simple, too. 

$y=2x^2+2x-1$ changes to $x=2y^2+2y-1$. Now, this step is done.

3. Solve for y

Solving for y means to isolate it. Since the quadratic formula is only a valid option when solving for the root of the equation, we cannot use that method with multiple variables. It appears as if completing the square is the only option.

I will get to graphing later.

The next function is $f(x)=-4.9(t+3)^2+45.8$ 

Let's do the same steps again. Change f(x) to y and flip flop all "t's" and "y's."

$t=-4.9(y+3)^2+45.8$

Last time, I solved the equation, but I won't do that with this function because it appears as if you did it correctly. 

Ok, inputting it into Desmos is easier than you might think. 

Equation 1: $y=2x^2+2x-1$

Equation 1 Inverse: $x=2y^2+2y-1$

This is the inverse because every x value is now the y-value. We can do the same for equation 2/

Equation 2: $y=-4.9(t+3)^2+45.8$

Equation 2 Inverse: $t=-4.9(y+3)^2+45.8$

Hi Ghosty,

These instructions are very old but I think it is all the same.

If you had not posted a pic before could you (or someone else) please try to follow the instructions and tell me if you found them good or not...

Thanks,

Melody.

1)

Since the LCM of 5and 6 =30, and the LCM of 7 and 8 =56, then the LCM of 30 and 56 =840.

N mod 30 =3

N mod 56 =5, and N=?

N = 840n +453, where n=0, 1, 2, 3.......etc.

Since the number apples picked by Brandon is between 1,000 and 2,000, it, therefore, follows that:

N =840 x 1 + 453 =1,293 apples.

3)

The only value of r that satisfies the congruences is r = 1

solve N mod 6 = 1 N mod 20 = 9 N mod 45 = 4 for N

N =180n + 49, where n=0, 1, 2, 3.......etc. So that:

N=49, 229, 409......etc.

Goat eating grass from inside a circle with radius r

The goat is hooked a the perifer of circle: How long shall the rope be to let goat eat 1/2 of the grass?

Hello Guest!

The goat problem is discussed in great detail and

in a comprehensible manner with the link below.

Unfortunately in German.
But you can help with the Google translator.

Thanks, Melody. 

A=P(1+rt) 

4500.00,10.0%,3yrs.

A =4,500 x [1 + 0.10]^3

A =4,500 x     1.10^3

A=4,500 x      1.331

A=$ 5,989.50

Yes, it is a very good formula to calculate Pi, but is nowhere near being "the best"!!!. It converges to Pi relatively slowly, at an average of 3-4 decimal places with each iteration. The best formulas used in modern computers to calculate Pi to trillions of digits are the "Ramanujan" formulas of Modular Equations, and in particular, the Chudnovsky Brothers' formula, which gives about 14-15 accurate digits of Pi with each iteration.

What will be the area of this rectangle? 

Hello Guest!

A = (160 ft * 100 ft) - (60 ft * (100 ft - 60 ft))

= (16 000 )sq.ft - (60 * 40) sq.ft)

=(16 000 - 2 400) sq.ft

A = 13 600 sq.ft * (acre / 43 560 sq.ft) = 0.312213 acre.

  !

    $2\frac35$

=  $2+\frac35$                 Multiply the  2  by  $\frac55$ .

                                ( $\frac55$ = 1 , so this does not change the value of our expression. )

=  $\frac55\,*\,2\,+\,\frac35$

=  $\frac{5*2}{5}\,+\,\frac35$

=  $\frac{10}{5}\,+\,\frac35$

                               10 cookies + 3 cookies = 13 cookies, so 10 fifths + 3 fifths = 13 fifths.

=  $\frac{13}{5}$

55 n's:

n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n

55 n's and . :

n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n.

55 n's and .. :

n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n n..

159 .'s:

.................... .................... .................... .................... .................... .................... .................... ...................

160 .'s:

.................... .................... .................... .................... .................... .................... .................... ....................

one of those answers is incorrect

Can you please show us the table?

Ax + By  =  C

Since  C  is alone on one side of the equation, let's first solve for  the "C" in our equation, which is the number that is not being multiplied by a variable:  -(2/3)

y  =  (8/-3)x - (2/3)

                                           Subtract  (8/-3)x  from both sides of the equation.

-(8/-3)x + y  =  -(2/3)

                                           -(8/-3)  =  8/3

(8/3)x + y  =  -(2/3)

Now....as it is.....  A = 8/3 ,  B = 1 ,  and  C = -2/3  .

But I think you want A, B, and C to be integers. So let's multiply through by  3  to clear the fractions.

8x + 3y  =  -2

Please note that this post is 18 months old!

I did not make it a priority question, someone else has done that.

I think guests can upload pictures now.

Still, I think the instructions are all still valid so maybe someone can learn something from it while it remains so visable. :/

It would be in the stickynotes somewhere anyway... I'll include it more visably. :/

Thank you so much!!!!!!

God d**n, I hate reciprocals. Thanks so much CPhill, your help is appreciated. 

We can factor this as a "difference of squares."  Remember that  a² - b²  =  (a + b)(a - b) . So....

4y²  -  81     =     (2y)² - 9²     =     ( 2y + 9 )( 2y - 9 )

what is the pH of a solution with a H⁺ concentration of 1.5x10^-10

Hello Guest!

$pH=-log_{10}a(H^+)=-log_{10}(1.5\times 10^{-10})$

$pH=9.8239$

  !

What is x if x=19.2/cos(46°)?

Hello Guest!

$x=\frac{19.2}{cos(46°)}=\frac{19.2}{0.694658370459}\\ \color{blue}x=27.6394855608$

  !

y  = 1 /  √ [x - 9]  

Note that the y intercept will occor where x  = 0....so

y  = 1  /√ [ 0- 9]   =   1  / √-9

However, since  √-9   is not a real number, there will be no y intercept

See the graph, here :  https://www.desmos.com/calculator/yv7yynz2um