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Solve for k over the real numbers:
abs(2-3 k) = 2 abs(k+2)

abs(2-3 k) = 2 abs(k+2) if and only if 2-3 k = 2 (k+2) or 2-3 k = -2 (k+2):
2-3 k = 2 (k+2) or 2-3 k = -2 (k+2)

Expand out terms of the right hand side:
2-3 k = 2 k+4 or 2-3 k = -2 (k+2)

Subtract 2 k+2 from both sides:
-5 k = 2 or 2-3 k = -2 (k+2)

Divide both sides by -5:
k = -2/5 or 2-3 k = -2 (k+2)

Expand out terms of the right hand side:
k = -2/5 or 2-3 k = -4-2 k

Subtract 2-2 k from both sides:
k = -2/5 or -k = -6

Multiply both sides by -1:
Answer: |k = -2/5     or     k = 6

Ok, so say the decimal is 0.382. You put the number 382 over 1000, because the decimal goes into the thousandths place. That would make the fraction 382/1000. From that point you would simplify to get teh simplest form of a fracton.

Hope that helped!

lokk like you love mathh hahah

To find two numbers wose difference is 538:

If one number is  x  then the other number is  x - 538.

For example:  if  x = 57  then  x - 538  =  57 - 538  =  -481     --->     57  and  -481

Check:  57 -  -481  =  57 + 481  =  538.

Let the number be  x.

40% of x  is  0.40 · x  =  0.40x

0.40x + x  =  168

0.40x + 1.00x  =  168

             1.40x  =  168

                    x  =  168 / 1.40

                    x  =  120

To find an absolute value equation that has the solutions  -6  and  10:

First:       find the midpoint between these numbers (their average):  (-6 + 10) / 2  =  4/2  =  2

               The average can be either a positive number or a negative number.

Second:  find the distance between this average and either of the numbers:  the distance from  2  to  10  is  8.

               Remember:  the distance must be a positive number.

Finally:    place these numbers into this equation:  | x - average |  =  distance     --->     | x - 2 |  =  8     <--- the answer

Now, can you do problem #2?

thx

thx

relly tha tis the mathi nth e word maxxx

wy if i give you 5 points

6.92820323467

That was not much help but ok

3 x 5 x 6 = 90

y= mx + b   form?

3/5 x + 1/4 y = -1/2

1/4 y = -3/5 x - 1/2     Multiply both sides by  '4'

y = -12/5 x - 2

or    y = 2 2/5 x - 2

(27a⁶)^-2/3

Since 27 = 3³:

=  (3³a⁶)^-2/3

=  (3³)^-2/3·(a⁶)^-2/3

=  (3^3·-2/3)·(a^6·-2/3)

=  (3^-2)·(a^-4)

=  (1/9)·(1/a⁴)

=  1 / (9a⁴)

I will assume you mean:  4250 (.375)^5   =   $ 31.52

sqrt(72) = sqrt(36 x 2) =  6 sqrt(2)       = 8.485