Answer:
Step-by-step explanation:
Explanation:
The
average rate of change
of g(x) over an interval between 2 points (a ,g(a)) and (b ,g(b) is the slope of the
secant line
connecting the 2 points.
To calculate the average rate of change between the 2 points use.
∣
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
g
(
b
)
−
g
(
a
)
b
−
a
a
a
∣
∣
∣
−−−−−−−−−−−−−−−
g
(
6
)
=
6
2
−
6
+
3
=
33
and
g
(
4
)
=
4
2
−
4
+
3
=
15
Thus the average rate of change between (4 ,15) and (6 ,33) is
33
−
15
6
−
4
=
18
2
=
9
This means that the average of all the slopes of lines tangent to the graph of g(x) between (4 ,15) and (6 ,33) is 9
Answer:
Expanded form : 300,000 +80,000 +2000 +700 +6.
Step-by-step explanation:
Given : 382,706.
To find : Write this number in expanded form.
Solution : We have given 382,706.
We can see 3 is at hundred thousand place = 300,000
8 is at ten thousand place = 80,000.
2 is at thousand place = 2000.
7 is at hundred place = 700.
6 is at ones place = 6
Then
Expanded form : 300,000 +80,000 +2000 +700 +6.
Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.
Answer:
2
Step-by-step explanation:
The reciprocal of a number n is 
Here n = 0.5, then reciprocal is
= 2
Answer:
(5,4)
Step-by-step explanation:
-x+2y=3
3x-2y=7
Add the like terms( 2y and -2y)(-x and 3x)(3 and 7) together. Do this vertically. 2y and -2y cancel eachother out.
Divide both sides by 2
To find y, substitute x in for y in one of the equations
add 5 to both sides
Divide both sides by 2
Check:
