Answer:
(-1, 2/3).
Step-by-step explanation:
Taking the derivative of f, we get f' = x^2 - 1 = 0. Thus, x = -1 and x = +1.
At the relative max, y = (1/3)(-1)^3 - (-1) = -1/3 + 1 = 2/3.
The relative maximum is at (-1, 2/3).
drove 1h 45 min
break 15 min
drives 1h 20 min
1h 45min+1h 20 min+15min=3h 20min
3h 20 min=3 1/3h
3 1/3h*75 km/hr=<u>250 km</u>
Answer:
Negative
Step-by-step explanation:
Positive discriminant: graph cuts x axis twice
Zero discriminant: graph touches x axis once
Negative discriminant: graph does not cut or touch x axis
Answer:
x=3
Step-by-step explanation:
2x + 1 = 3x - 2
2x +3 = 3x
2x-3x= -1x
-1x = -3/-1
x=3
Answer:
Step-by-step explanation:
Given expression:
The given expression needs to be simplified to the form 
Applying the exponents rule to simplify.
Writing all numbers as product of 3.
⇒ 
Writing each in exponents form.
⇒ 
Using power of a power rule ![[\ (a^x)^y=a^{xy}\ ]](https://tex.z-dn.net/?f=%5B%5C%20%28a%5Ex%29%5Ey%3Da%5E%7Bxy%7D%5C%20%5D)
⇒ 
Using multiplication rule of exponents ![[\ a^x\times a^y=a^{x+y}\ ]](https://tex.z-dn.net/?f=%5B%5C%20a%5Ex%5Ctimes%20a%5Ey%3Da%5E%7Bx%2By%7D%5C%20%5D)
⇒ 
⇒ 
So we have 
∴
