Answer:
The average rate of change of the given function
A(x) = 1
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given function f(x) = x² - 2x -4
And given that x = a = -1 and x=b = 4
The average rate of change of the given function

<u><em>Step(ii):-</em></u>
f(x) = x² - 2x -4
f(-1) = (-1)² - 2(-1) -4 = 1+2-4 = -1
f(4) = 4² -2(4) -4 = 16 -12 = 4
The average rate of change of the given function


<u><em>final answer:-</em></u>
The average rate of change of the given function
A(x) = 1
Answer:
48 hours
Step-by-step explanation:
$650 - $105 = $545
$545 ÷ $11.50 = 47.39 = 48 hours (Rounded)
Answer:
B
Step-by-step explanation:
the area of triangle A is k times the area of triangle b
Answer:
9 pigs
Step-by-step explanation:
We have the following numbers of heads:
pigs (p) + chickens (c) = 16 animal heads (1)
And the following numbers of feet:
4p + 2c = 50 animal feet (2)
From equation (1):
p = 16 - c (3)
By entering equation (3) into (2) we have:
4(16 - c) + 2c = 50
64 - 4c + 2c = 50
c = 7
Now, entering the value of c into equation (3) we have the next value of p:
p = 16 - c
p = 16 - 7
p = 9
Therefore, the number of pigs that Henry has is 9.
I hope it helps you!
I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,
One possible answer is 
Another possible answer is 
There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)
So in the first example above, we would have

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.
Similar steps will happen with the second example as well (when g(x) = x^2)