Answer:
0.5
Step-by-step explanation:
The average rate of change (m) on the interval [a, b] is ...
m = (f(b) -f(a))/(b -a)
On the interval [-2, 3], the average rate of change is ...
m = (5 -2.5)/(3 -(-2)) = 2.5/5 = 0.5
Answer:
-2p² - 9pq + 6q²
Step-by-step explanation:
Add the like terms
p² + - 3p² = -2p²
-7pq + - 2pq = -9pq
-q² + 7q² = 6q²
We have to deal with the distance in more detail
If the turtle is 11 times faster than the snail, the amount of distance he will cover is 11 times more.
d/(360 - d) = 1/11
11d = 360 - d
12d = 360
d = 30 The Snail covers 30 meters. The turtle covers 11*30 = 330 meters.
Answers
Rate of snail = 30 meters / 40 minutes = 3/4 meter / minute
Rate of turtle = 330 meters / 40 minutes = 8.25 meters / minute.
Answer: x^3 - 1 = (x - 1)(x^2 + x + 1)
Explanation:
This is a type of factorizing called the sum or difference of 2 cubes:
a^3 - b^3 = (a - b)(a^2 + ab + b^2)
The sum of the cubes is factored as:
a^3 + b^3 = (a + b)(a^2 - ab + b^2)
In this case, we have: x^3 - 1 so follow the rule above.
x^3 - 1 = (x - 1)(x^2 + x + 1)
A. -f(1)=1,f(2)=2,f(n)=2f(n-1)f(n-2);n>2
