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x^2 + y^2  =  2x + 2y

x^2  - 2x  + y^2 - 2y  = 0

Complete the square on x and y  and we have that

x^2 - 2x + 1   +  y^2 -2y + 1  =  2

( x - 1)^2  +  (y - 1)^2  =  2

x will be maximized when  y = 1...so....

(x - 1)^2  =  2       take the positive square root

x - 1  =  √2

x =  √2 + 1

CPhill Nov 6, 2017

Hectictar is correct of course but the question is very badly worded becasue this is the equaton of 

\(y=(x-2)^2+6\)

Which has an infinite number of solution pairs.

BUT

\(0=(x-2)^2+6\)       has no solutions

y  =  1/2x - 2     The graph of this equation is a line with a slope of  1/2 .

the slope of a line perpendicular to it  =  the negative reciprocal of  1/2        so...

the slope of a line perpendicular to it  =  - 2/1

the slope of a line perpendicular to it  =  - 2

The graph does not touch the  x  axis anywhere. That means there are no points on the graph that have a  y  value of  0 . There are no  x  values that cause   y  to be zero.

So... there are no real solutions to this equation:   f(x) = 0

Use this fine online financial calculator: https://arachnoid.com/finance/

Enter $10,000 under "pv"

Enter monthly payment of -$101.25 under "pmt". Note that the "pmt" is entered as -$101.25 because it is money "paid out"

Enter 120 months under "np"

Press "ir"

You should get an answer of 0.333419, which the monthly interest rate.

Multiply it by 12 =0.333419 x 12 =4.001028 =~4% compounded monthly.

If 5x - 17 = -x + 7, then x =  Isolate the x to the LHS.

5x + x =7 + 17

6x =24                    Divide both sides by 6

x = 24/6

x = 4

hey where's the words I typed them in

See the answer at the bottom of this page, asked by "AngelRay".

ok but have you understood or even tried to understand any of the reasoning I have given you so that maybe you can get it right next time?

d****t turns out it was A But I chose B and that's when 

I found out it was wrong

One  known value is    

y= 2.55 when x=100

I have told you that    y= 0.016x + something 

y= 0.016x+b

so

Sub in your known values of x and y to find out the value of b

                          (which is the y intercept or the cost of prinint irrespective of the number of pages.)

2.55 = 0.016*100 +b

Now you can solve this to get the missing b value.

It is the x that has changed. I mean x has been repleaced with 9.2x so it is a horizontal compression.

You even have a hint here. The word compression is used. Compressions imply smaller. Which imples a number between 0 and 1.

Anyway multiplying x by 9.2 compresses the graph by 1/9.2 = 5/46       

5/46 is a approximately 0.11 I tell you this so you can understand the graph. 

You can see that   (1,0) has compressed to (0.11,0)

but please explain in a simple way that is not complicated

can someone explain it for me please

I am really bad at algebra

the only thing I understood about that answer is that D is definitely not the answer

The costs (y) are going up by 0.80   andthe pages (x) is going up by 50

so the gradient is     rise /run = change in y/change in x  =  0.8/50   = 0.016

so

y= 0.016x + something 

Substitute any of the known values into the equation to find what that something (b) (yintercept) is.

Check by subing in a different pair and checking that it works.

You can post your working if you are not sure that your understand.

Hi James :)

Here is one :)

In case the sarcasm has gone over your heard ....

This is an international forum.

What county? What state? What school year?  etc etc etc etc.

Solve for x:
2 x^2 - 3 x + 2 = 0

Divide both sides by 2:
x^2 - (3 x)/2 + 1 = 0

Subtract 1 from both sides:
x^2 - (3 x)/2 = -1

Add 9/16 to both sides:
x^2 - (3 x)/2 + 9/16 = -7/16

Write the left hand side as a square:
(x - 3/4)^2 = -7/16

Take the square root of both sides:
x - 3/4 = (i sqrt(7))/4 or x - 3/4 = 1/4 (-i) sqrt(7)

Add 3/4 to both sides:

x = 3/4 + (i sqrt(7))/4 or x - 3/4 = 1/4 (-i) sqrt(7)

Add 3/4 to both sides:

x = 3/4 + (i sqrt(7))/4        or           x= 3/4 - (i sqrt(7))/4

Solve for x:
x^2 - 4 x - 5 = 0

The left hand side factors into a product with two terms:
(x - 5) (x + 1) = 0

Split into two equations:
x - 5 = 0 or x + 1 = 0

Add 5 to both sides:
x = 5 or x + 1 = 0

Subtract 1 from both sides:
x = 5                or                x = -1

That is only if the centre of the dilation is (0,0)

Can anyone help me

Well I love maths so I try to solve as many questions i can

Yep....good job, Rauhan....!!!

WHAT THE H**L???????