Answer:
14x+3=8x+3
14x+3 -3 = 8x+3 -3
Cancels out the 3
14x = 8x
14x - 8x = 8x -8x
Cancels out the 8x
14x = 0
x = 0
Step-by-step explanation:
Answer:
the choice of consumers regarding what to purchase to satisfy their wants and the choice of producers regarding what to produce to maximize profits.
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
5*3=15
15-18= -3
A. Factor the numerator as a difference of squares:

c. As

, the contribution of the terms of degree less than 2 becomes negligible, which means we can write

e. Let's first rewrite the root terms with rational exponents:
![\displaystyle\lim_{x\to1}\frac{\sqrt[3]x-x}{\sqrt x-x}=\lim_{x\to1}\frac{x^{1/3}-x}{x^{1/2}-x}](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Clim_%7Bx%5Cto1%7D%5Cfrac%7B%5Csqrt%5B3%5Dx-x%7D%7B%5Csqrt%20x-x%7D%3D%5Clim_%7Bx%5Cto1%7D%5Cfrac%7Bx%5E%7B1%2F3%7D-x%7D%7Bx%5E%7B1%2F2%7D-x%7D)
Next we rationalize the numerator and denominator. We do so by recalling


In particular,


so we have

For

and

, we can simplify the first term:

So our limit becomes