Answer:
An inflection point is a point on the graph of a function at which the concavity changes. Points of inflection can occur where the second derivative is zero.
Step-by-step explanation:
The explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
<h3>What is a sequence?</h3>
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have given:
and
The above expression represents the common ratio:
d = 3
First term:
a = 5
The explicit rule for the arithmetic sequence:
a(n) = 5 + (n - 1)3
a(n) = 3n + 2
Thus, the explicit rule for the arithmetic sequence for the sequence is a(n) = 3n + 2.
Learn more about the sequence here:
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In money form there can’t be more than two decimal places so it’s $24,411.41
Answer:
Money with Mary = $28
Money with Vivan = $12
Step-by-step explanation
Money with Mary = $ m
Money with Vivan = $v
If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'
m - 8 = v + 8
m = v + 8 +8
m -v = 16 ----------------(I)
If vivan gives mary $8, then mary would have 9 times as much as vivan.
9(v - 8) = m + 8
9v - 72 = m + 8
9v - m = 8 + 72
-m + 9v = 80 --------------(II)
Add equation (I) and (II). Thus m will be cancelled and we will get the value of v
(I) m - v = 16
(II) <u>-m + 9v = 80</u> {Now add}
8v = 96
v = 96/8
v = $ 12
Plugin v = 12 in equation (I)
m - 12 = 16
m = 16 +12
m =$ 28
