Answer:
Sales tax is $4.20
Step-by-step explanation:
70*6/100=4.2
Answer: 0.17
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
treat the ? as an x. you need to get it by itself. but first you should distribute the 8.
8x + 24 = 48 +24
8x+24 = 72
take the 24 and subtract it from 72
8x= 48
now divide both sides by 8
x= 6
Answer:
Graph
Step-by-step explanation:
The graph swapped the y and x axis values.
If you evaluate directly this function at x=0, you'll see that you have a zero denominator.
Nevertheless, the only way for a fraction to equal zero is to have a zero numerator, i.e.
![\dfrac{x}{x^3-2x^2+5x}=0\iff x=0](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%7D%7Bx%5E3-2x%5E2%2B5x%7D%3D0%5Ciff%20x%3D0)
So, this function can't have zeroes, because the only point that would annihilate the numerator would annihilate the denominator as well.
Moreover, we have
![\displaystyle \lim_{x\to 0} \dfrac{x}{x^3-2x^2+5x} = \lim_{x\to 0} \dfrac{x}{x(x^2-2x+5)} = \lim_{x\to 0} \dfrac{1}{x^2-2x+5} = \dfrac{1}{5}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Clim_%7Bx%5Cto%200%7D%20%5Cdfrac%7Bx%7D%7Bx%5E3-2x%5E2%2B5x%7D%20%3D%20%5Clim_%7Bx%5Cto%200%7D%20%5Cdfrac%7Bx%7D%7Bx%28x%5E2-2x%2B5%29%7D%20%3D%20%5Clim_%7Bx%5Cto%200%7D%20%5Cdfrac%7B1%7D%7Bx%5E2-2x%2B5%7D%20%3D%20%5Cdfrac%7B1%7D%7B5%7D)
So, we can't even extend with continuity this function in such a way that ![f(0)=0](https://tex.z-dn.net/?f=f%280%29%3D0)