When x = ±√3, -2, then the factors are (x - √3)(x + √3)(x + 2) = 0.
(x - √3)(x + √3)(x + 2) = 0
(x² - 3)(x + 2) = 0
x³ + 2x² - 3x - 6 = 0 (Second choice)
5x7=35 7x9=63 9x11=99. 99 is too high so it has to be 7 and 9.
The three angles of a triangle should equal 180 so add 52+34 which equals 86.Then subtract 86 from 180 to get the third angles measure which is 94 so the answer is 94.
Answer:
The average rate of change of the function over the interval is -1
Step-by-step explanation:
We are given the function over the interval
We need to find average rate of change.
The formula used to find average rate of change is :
We have b=-1 and a=-11
Finding g(b) = g(-1)
Finding g(a) = g(-11)
Finding average rate of change
So, the average rate of change of the function over the interval is -1
Answer: 1/6 of the movie.
Step-by-step explanation:
First, she watches 1/2 of the movie.
This means that if the movie lasts N minutes, the time left is:
N - (1/2)*N = (1/2)*N.
Then she watches another part of the movie, let's call it as a*N, and after that, she has 1/3 of the movie left, we can write this situation as:
(1/2)*N - a*N = (1/3)*N
we can divide by N in both sides to get
(1/2) - a = (1/3)
(1/2) - (1/3) = a
3/6 - 2/6 = a
1/6 = a
So we can conclude that she watched 1/6 of the movie at night.