Answer:
4x+2h
Step-by-step explanation:
The average rate of change of a continuous function,
f
(
x
)
, on a closed interval
[
a
,
b
]
is given by
f
(
b
)
−
f
(
a
)
b
−
a
So the average rate of change of the function
f
(
x
)
=
2
x
2
+
1
on
[
x
,
x
+
h
]
is:
A
r
o
c
=
f
(
x
+
h
)
−
f
(
x
)
(
x
+
h
)
−
(
x
)
=
f
(
x
+
h
)
−
f
(
x
)
h
...
.
.
[
1
]
=
2
(
x
+
h
)
2
+
1
−
(
2
x
2
+
1
)
h
=
2
(
x
2
+
2
x
h
+
h
2
)
+
1
−
2
x
2
−
1
h
=
2
x
2
+
4
x
h
+
2
h
2
−
2
x
2
h
=
4
x
h
+
2
h
2
h
=
4
x
+
2
h
Which is the required answer.
Additional Notes:
Note that this question is steered towards deriving the derivative
f
'
(
x
)
from first principles, as the definition of the derivative is:
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
This is the function we had in [1], so as we take the limit as
h
→
0
we get the derivative
f
'
(
x
)
for any
x
, This:
f
'
(
x
)
=
lim
h
→
0
4
x
+
2
h
=
4
x
Answer:
The answer is option b 130cm²
Area of a trapezium is 1/2(a + b) × h
where 'a' and 'b' are the parallel sides of the trapezium
h is the height
From the picture above
h is 10cm
'a' and 'b' are 17cm and 9 cm respectively
Area of the trapezium = 1/2 ( 17+9)× 10
= 1/2× 26 × 10
= 13 × 10
= 130cm²
Hope this helps
It is not, because the former is a product and the latter is addition.
Answer:
Whichever graph that shows 20 CDs sold
Step-by-step explanation:
x = # of CDs sold
Equation: $500 = $12.50x + $250
Subtract $250 from both sides, you should be left with $250 = $12.50x
Then, you have to divide $12.50 from both sides: 
You should be left with x = 20, Bruce sold 20 CDs after his show to earn a total of $500 for the night
