6) check picture
a) all three lines are parellel and have the same slope. the only difference is that they are translated on different points on the x-axis.
not sure about the rest sorry :(
![\dfrac{\frac{x+2}{x^2+2x-3}}{\frac{x+2}{x^2-x}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cfrac%7Bx%2B2%7D%7Bx%5E2%2B2x-3%7D%7D%7B%5Cfrac%7Bx%2B2%7D%7Bx%5E2-x%7D%7D)
If
, then we can immediately cancel the factors of
:
![\dfrac{\frac1{x^2+2x-3}}{\frac1{x^2-x}}=\dfrac{x^2-x}{x^2+2x-3}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cfrac1%7Bx%5E2%2B2x-3%7D%7D%7B%5Cfrac1%7Bx%5E2-x%7D%7D%3D%5Cdfrac%7Bx%5E2-x%7D%7Bx%5E2%2B2x-3%7D)
Factorize the numerator and denominator:
![x^2-x=x(x-1)](https://tex.z-dn.net/?f=x%5E2-x%3Dx%28x-1%29)
![x^2+2x-3=(x+3)(x-1)](https://tex.z-dn.net/?f=x%5E2%2B2x-3%3D%28x%2B3%29%28x-1%29)
Next, if
, then
![\dfrac{x^2-x}{x^2+2x-3}=\dfrac{x(x-1)}{(x+3)(x-1)}=\dfrac x{x+3}](https://tex.z-dn.net/?f=%5Cdfrac%7Bx%5E2-x%7D%7Bx%5E2%2B2x-3%7D%3D%5Cdfrac%7Bx%28x-1%29%7D%7B%28x%2B3%29%28x-1%29%7D%3D%5Cdfrac%20x%7Bx%2B3%7D)
Remark
I didn't know this was a calculus question. How dumb of me.
f(x + h) - f(x)
==========
x + h - h
50/6 - 51/6 =( -1/6+ h)/h
The h's will disappear when the limit is taken.
answer - 1/6 which is A. If anyone else answers take their answer.
Answer:B(0.75+0.25)x
Step-by-step explanation:
Is a discount of 0.75 was given the d real value of the sweatshirt would be a whole number
Which is 1-0.75=0.25
Answer:
Step-by-step explanation: