Answer:
There are vertical asymptotes at x: {-1, 0, 5}
Step-by-step explanation:
It's easier (at least for some) if you write this function as
3
F(X) = ------------------
x(x-5)(x+1)
Can you now see that if x = 0, this function is undefined? Same for x = 5 and x = -1? There are vertical asymptotes at x: {-1, 0, 5}
Answer:
and
.
Step-by-step explanation:
If we have to different functions like the ones attached, one is a parabolic function and the other is a radical function. To know where
, we just have to equalize them and find the solution for that equation:

So, applying the zero product property, we have:
![x=0\\x^{3}-1=0\\x^{3}=1\\x=\sqrt[3]{1}=1](https://tex.z-dn.net/?f=x%3D0%5C%5Cx%5E%7B3%7D-1%3D0%5C%5Cx%5E%7B3%7D%3D1%5C%5Cx%3D%5Csqrt%5B3%5D%7B1%7D%3D1)
Therefore, these two solutions mean that there are two points where both functions are equal, that is, when
and
.
So, the input values are
and
.
Answer:
50 gallons of red
30 gallons of blue
Step-by-step explanation:
5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.
therefore, 1 part = 80/8 = 10 gallons
red : 5 parts
5×10 = 50 gallons
blue : 3 parts
3×10 = 30 gallons
Answer:can’t read it
Step-by-step explanation:
Can you take a pic closer to the screen?