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f(-3) + f(0) + f(3) = 11.

f(i) + f(1) + f(-1) + f(-i) = 8.

I graphed it, and got 3 solutions.

Rate =   60 cents / 12 in =   5 cents per inch

5 c/in * 35 in = 175 cents                   $1.75

200 miles / 20 m/g       *    1.98 $/gal   * 1/3 each =

10 *  $  1.98 * 1/3 each = $ ..........

38/15-4/3=(114-60)/45=54/45=6/5

i worked this out before, and the answer is 650 miles.

(y - 3)^2  /  5  -  (x - 2)^2  / 16  = 1

Since it  intersects the  line  x  = 8.....just  sub this value of  x  into  the  equation

(y - 3)^2  / 5    - ( 8  -2)^2 / 16   = 1     simplify

Multiply  through  by  the LCM  of  5, 16   =  80

16 ( y - 3)^2    -  5 ( 8 - 2)^2  =  80       simplify

16 ( y -3)^2  - 5*6^2    = 80

16 ( y - 3) ^2  =  180  +  80

16 ( y - 3)^2   =  260    divide  both sides  by  16

(y - 3)^2   = 260/16      take  both roots

y - 3   =  sqrt ( 260/16)       y  =   3  + 2sqrt (65)  /4  =    3 + sqrt (65) / 2  =  y1

and

y  -  3  =  - sqrt (260/16)     y =  3   - 2 sqrt (65) /4  =   3  - sqrt (65)  /2  =  y2

So

y1  +  y2  =       6

OK......that's what we're  here  fer    !!!

ok. thank you for the help melody. I am sorry for posting that picture and for accusing you. I was in the wrong. Thanks for everything you do. I hope you can forgive me. I will not do it again. 

Interest earned   =

Total amt  at endof 10 years  - beginning amt = 

28200  ( 1  + .055/2)^(10*2)   -  28200    ≈  $20316.08

Thank you so much! I am really grateful to all of you!

C  = 

[ x coordinate of B  +  (1/3) ( x coordinate of B  -x coordinate of A)  ,   y coordinate of B  + (1/3) ( y coordinate of B  -y coordinate of A) ]

 [  14 +  (1/3)( 14  - 2)   ,  4 + (1/3) ( 4 - - 2)   ]  =

[ 14  + (1/3)(12)   ,  4  + (1/3)(6)  ]  =

[14  + 4  ,  4  +  2  ]  =

(  18  ,  6 )

So for n I got 111 and -112 so would the answer be 111 since its the positive value?

Ur Welcome    !!!!!

(f o g)(x)    just  means  this   =  f (g)  =   we  are putting  "g"  into "f'

So

f  =   [  x ]    -  7    =

(f o g)    = [  3x^2  - 7x  - 10 ]  -  7  =     3x^2  - 7x   - 17

2.8 : ?    = 0.7     ??

? = 2.8/0.7 = 4

2.8 : 4     = 0.7

Thank you!

x(2x  -  7)    =  3

2x^2   - 7x  -  3    =  0

One root  is        7  +  sqrt  ( 7^2  - 4(-3) (2)  )                    7  +  sqrt ( 73)

                        ____________________________   =   _____________

                                      2 * 2                                                        4

m  +  n    +  p    =  7  +  73    +   4      =      84

almonds to walnuts to raisins =   1:2:3

1/6 for almonds    

1/3 for  walnuts

1/2 for raisins                   1/6 * $12 *x      +   1/3 * $ 9 * x     +  1/2 * $ 5 * x   = $ 15               where 'x' = pounds of finished trail mix

                                                  2x         +      3x               +2.5 x           = 15 

                                                  7.5x = 15

                                                         x = 2    pounds of trail mix

By Vieta.....

sum of  the  roots  =  -7/2   = a  +  b

product of the  roots  =  11/2    = ab

So

ab  +  (a + b)   =

11/2  +  (-7/2)   =

4 /  2    =

2

Square both sides to get

x^2 -12x+36  = 3x   simplify

(x^2 - 15x + 36) = 0                   factor

(x-12)(x-3) = 0      so x = 12 or 3      

sub into original equation to find if they work    12 does      3 is extraneous

Area  of  sector =  (1/2) r^2 (theta)

(6/5)pi  = (1/2) r^2  (theta)

(12/5)pi  = r^2 (theta)

theta   = (12 pi) / (5 *r^2)     (1)

Arc length  =  r (theta)

(3/5) pi = r(theta)     (2)

Sub (1)   into  (2)

(3/5) pi =   r  (12 pi) / ( 5 * r^2)

(3/5)  =  (12/5) / r

r  =  (12/5)  /(3/5)

r =  12/3

r   =  4

theta  =   (12/5)pi   / 4^2   =   (12/80) pi    =   (3/20)pi  = 27°

Let's solve your equation step-by-step.

x−6=√3x

Step 1: Flip the equation.

√3x=x−6

Step 2: Solve Square Root.

√3x=x−6

3x=(x−6)2(Square both sides)

3x=x2−12x+36

3x−(x2−12x+36)=x2−12x+36−(x2−12x+36)(Subtract x^2-12x+36 from both sides)

−x2+15x−36=0

(−x+3)(x−12)=0(Factor left side of equation)

−x+3=0 or x−12=0(Set factors equal to 0)

x=3 or x=12

Check answers. (Plug them in to make sure they work.)

x=3(Doesn't work in original equation)

x=12(Works in original equation)

If both parts of  the fxn have the same value at 3  it is continuous

3 (3^2) -2  = 25

a(3)+7 = 25

  a 3 = 18        a = 6