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I think we need more information. Where is point  D  or point  E ?

So far, this is all we know....

1.

When   x = -2 ,   f(x) = 4   and   g(x) = 4   so when   x = -2 ,   f(x) = g(x) .

When   x = -1 ,   f(x) = 2   and   g(x) = 2   so when   x = -1 ,   f(x) = g(x) .

None of the other values for  x  make  f(x) = g(x) .

2.

The solutions to   -2x + 2  =  (1/3)^x + 1   are the solutions to  f(x) = g(x) .

When   x = -1 ,   f(x) = 4   and   g(x) = 4   so when   x = -1 ,   f(x) = g(x) .

When   x = 0 ,   f(x) = 2   and   g(x) = 2   so when   x = 0 ,   f(x) = g(x) .

None of the other values for  x  make  f(x) = g(x) .

I AM NOT THE SAME GUEST THAT WAS POSTING THOSE OTHER THINGS I ONLY POSTED A FEW QUESTIONS 

👍 :D

really

...... -_-

x  =   (4 - x) /  ( y^2  - x)     rearrange as

y^2 - x  =  (4 - x) /  x

y^2  =  4/x - 1  +  x

y^2  =  ( x - 1)  +  4/x

Note that   ( x - 1)  will be an integer for all integer values for x

But     4/x     will only be an integer when   x  = 1, 2  or 4

When   x  =  1,  y   =  2

When x  =  2, y  = √3

When x  =  4, y   = 2

However....(4,2)  produces a denominator = 0 in the original equation....so....this answer must be rejected...!!!

So.....(1,2)  is the  only correct answer

EDIT :  Thanks to hectictar for spotting my preious error  !!!! 

this is part b

How many ways are there to divide a red bracelet, a yellow bracelet, a green bracelet, and a black bracelet among 4 people if each person can receive any number of bracelets, including 0? Each bracelet must be given to someone.

We just add the 4 sides to get the perimeter....so...

(c + 4)  + c  +  (c + 4)  +  c    =

4c +  8

and also, I messed up on the first question, its 2^x not 2x 

Really need help on number three please? Thank you both

Ooops my bad! Thanks CPhill!

Any of the 4 could receive the red bracelet

After this.....any of the remaining 3 people without a bracelet could receive the yellow bracelet

After this.....either of the remaining 2 people without a bracelet could receive the green bracelet

And, by default, the remianing person without a bracelet will get the black bracelet

So

4 * 3 * 2 *  1     =      24   ways

f(x)  = 0.5^x            g(x)  =  -0.5x  +  1

These intersect  when   x  =  0    and  x  = 1

Here's a graph :

https://www.desmos.com/calculator/vebndl11ur

She has 12 choices  for the Satrap

And after this selection is made, we have 11 choices for  the Vizier

So.....

12  *  11  =     

132 ways

Thank you Cphill

23.5%      .... convert to a decimal  ....

.235  =

235 / 1000  =

(47 * 5)  /  (200 * 5)  =

47  /  200

Graph  f(x)=2x+1 and  g(x)=−x+4 on the same coordinate plane.

As shown they're equal when x = 1 

What is the solution to  f(x)=g(x) ?

Select each answer

a. x= -2

b. x= -1

c. x= 0

d. x= 1

e. x= 2

c and e 

As seen the intersect/ equal to one another at x = -2 and x = 0

Hope that helps! 

Julius 

M should be m < BCH

good to be back

The interior angles of a quadrilateral  sum to 360°

Let  a1 be the smallest angle   and d  be the common difference between the angles

So   we have the following equation

129  =  a1 + 3d    ⇒  129 - 3d  =  a1     (1)

And

a1 + (a1 + d)  + (a1 + 2d )  +  129   =   360     (2)

Sub  (1)  into (2)  and simplifying we have that

129 - 3d +  (129 - 2d)  + ( 129 - d) +  129   =  360

516  - 6d   =  360      rearrrange as

516  -  360  =  6d

156   =  6d          divide both sides by 6

26   = d

And using  (1) we have that   129 - 3(26)    =  a1     =  51°

So.....the second largest angle is    51  + 2(26)   =  103°

(12, 27)   (5, 9)

The gradient  (slope)  =

[ subtract the y coordinates in some order ]  / [subtract the x coordinates in the same order ]

So we have

[ 27 - 9 ]  /  [ 12  - 5 ]  =

[ 18 ]  / [ 7 ]  =

18 / 7

Sum = [First term + last term] / 2 x Number of terms

360  =[F + 129] / 2 x 4, solve for F

720 =[F + 129] x 4

180 =[F + 129]

F = 180 - 129

F =51 degrees - the smallest angle

N =[L - F] / D + 1

4 =[129 - 51] / D

3 =[78] /D

3D = 78

D = 78/3

D =26 - diffrence between the 4 angles

51+26 =77 degrees - the second smallest angle

77+26 =103 degrees - the second largest angle. So that you have:

51, 77, 103, 129 angles in degrees.