The given data contains points which are 1/5, 1/25, 1/125, and 1/625. From these we are able to conclude that the given is a geometric sequence with r equal to 1/5 and the first term is equal to 1/5. The sum of these term can be computed as,
S = a1/(1 - r)
Solving,
S = ((1/5)/(1 - 1/5) = 1/4
Thus, the sequence is convergent because the sum is a finite number.
Answer:
f
(
x
)
=
5
x
2
−
2
x
+
3
g
(
x
)
=
4
x
2
+
7
x
−
5
f
(
g
(
x
)
)
=
5
(
4
x
2
+
7
x
−
5
)
2
−
2
(
4
x
2
+
7
x
−
5
)
+
3
=
80
x
4
+
280
x
3
+
45
x
2
−
350
x
+
125
−
8
x
2
−
14
x
+
10
+
3
=
80
x
4
+
280
x
3
+
45
x
2
−
8
x
2
−
350
x
−
14
x
+
125
+
10
+
3
f
(
g
(
x
)
)
=
80
x
4
+
280
x
3
+
37
x
2
−
364
x
+
138
The answer is
f
(
g
(
x
)
)
=
80
x
4
+
280
x
3
+
37
x
2
−
364
x
+
138
.
Step-by-step explanation:
Answer:
f(x)=x^3-3x^2+25x-75
Step-by-step explanation:
Solve for x:
x^3 - 3 x^2 + 25 x - 75 = 0
The left hand side factors into a product with two terms:
(x - 3) (x^2 + 25) = 0
Split into two equations:
x - 3 = 0 or x^2 + 25 = 0
Add 3 to both sides:
x = 3 or x^2 + 25 = 0
Subtract 25 from both sides:
x = 3 or x^2 = -25
Take the square root of both sides:
Answer: x = 3 or x = 5 i or x = -5 i
Answer:
I believe the answer is 18
Step-by-step explanation:
3x6 is 18. 18-6 is 12. Hope this helps!
