The sequence is " Algebraic, common difference = −10 " ⇒ 1st answer
Step-by-step explanation:
Let us revise the algebraic and geometric sequences
- The Algebraic sequence is the sequence that has a common difference between each two consecutive terms, like 2 , 5 , 8 , 11 , 14 , .......... the difference between the 5 and 2 is equal to the difference between 8 and 5, and the difference between 11 and 8 and the difference between 14 and 11
- The geometric sequences is the sequence that has a common ratio between each two consecutive terms, like 3 , -9 , 27 , -81 , ...... the ratio between -9 and 3 as the ratio between 27 and -9 as the ratio between -81 and 27
→ x : 1 : 2 : 3 : 4
→ f(x) : 5 : -5 : -15 : -25
x represents the positions of the terms
f(x) represents the value of each term
∵ 1st = 5 and 2nd = -5
∵ -5 - 5 = -10
∵ 2nd = -5 and 3rd = -15
∵ -15 - (-5) = -15 + 5 = -10
∵ 3rd = -15 and 4th = -25
∵ -25 - (-15) = -25 + 15 = -10
∴ There is a common difference -10 between each two
consecutive terms
∴ The sequence is algebraic with common difference -10
The sequence is " Algebraic, common difference = −10 "
Learn more:
You can learn more about the sequences in brainly.com/question/1522572
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Answer:
the answer is 120
Step-by-step explanation:
Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.
Then, the perimeter is given by
4
x
+
3
y
=
160
.
4
x
=
160
−
3
y
x
=
40
−
3
4
y
The area of a rectangle is given by
A
=
L
×
W
, however here we have two rectangles put together, so the total area will be given by
A
=
2
×
L
×
W
.
A
=
2
(
40
−
3
4
y
)
y
A
=
80
y
−
3
2
y
2
Now, let's differentiate this function, with respect to y, to find any critical points on the graph.
A
'
(
y
)
=
80
−
3
y
Setting to 0:
0
=
80
−
3
y
−
80
=
−
3
y
80
3
=
y
x
=
40
−
3
4
×
80
3
x
=
40
−
20
x
=
20
Hence, the dimensions that will give the maximum area are
20
by
26
2
3
feet.
A graphical check of the initial function shows that the vertex is at
(
26
2
3
,
1066
2
3
)
, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.
Hopefully this helps!
Step-by-step explanation: hope this helps
Answer:
19/5
Step-by-step explanation:
You have to multiply the whole number with the denominator and then add the numerator to get the improper fraction.
Answer:
0.
Step-by-step explanation:
0 x 0 = 0
Have a Gr8 day (:
