The average rate of change of a function f(x) on the interval [a,b] is given by:
f(b) - f(a)
-------------
b-a
In this specific case, a=2 and b = 3.
f(2) = -3 and f(3) = -1.
Thus, the average rate of change here of f(x) on the interval [2,3] is:
-1 - (- 3) 2
------------- = ------------- = 2 (answer)
3-2 1
Answer:
(3a + 2b)3
Step-by-step explanation:
STEP
1 :
Equation at the end of step 1
(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3
Step 2:
(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3
Step 3:
(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3
Step 4:
((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3
Step 5:
Factoring: 27a3+54a2b+36ab2+8b3
Answer:
x ≤ 7
Step-by-step explanation:
1. add 4 to both sides x-4+4 ≤ 3+4
2. simplify x ≤ 7
Answer:
something.....................
Answer:
The three unknown angles X, Y , and Z are:
X = 40, Y = 20, and Z = 120
Step-by-step explanation:
Let's name X the measure of the first angle, Y the measure of the second one, and Z that of the third one.
Then we can create the following equations:
X = 2 Y
Z = 100 + Y
and
X + Y + Z = 180
So we use the first equation and the second one to substitute for the variable X and Z in the thrid equation:
2 Y + Y + (100 + Y) = 180
4 Y + 100 = 180
4 Y = 80
Y = 80/4 = 20
Then X = 40, Y = 20, and Z = 120
