Answer:
c. x = -1/15
Step-by-step explanation:
5/2x - 1/3 = -1/2 [multiply the whole equation by 6 (lowest common denom)
15x - 2 = -3 [add 2 on both sides of equation
15x = -1 [divide both sides by 15 to isolate x]
x = -1/15
The common ratio of both the formulas is 3 and 2. The first formula is explicit and the second is the recursive formula.
<h3>What is the recursive rule?</h3>
A rule is defined such that its definition includes itself.
1.
The given sequence is
-2, -6, -18, -54
Common ratio ;
r = -6 / -2 = 3

This given formula is the explicit formula.
2.
The given sequence is
4, 8, 16, 32
Common ratio ;
r = 8 / 4 = 2

This given formula is the recursive formula.
Learn more about the recursive rule and explicit rules here:
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Answer:
x = 2.3202
Step-by-step explanation:
Given equation:

on taking log both sides, we get

now,
using the property of log function
log(aᵇ) = b × log(a)
therefore,
we get
(3x-5)log(10) = xlog(7)
now,
log(10) = 1
and
log(7) = 0.84509
thus,
( 3x - 5 ) × 1 = 0.84509x
or
3x - 0.84509x - 5 = 0
or
2.15491x = 5
or
x = 2.3202
Answer: OPTION C
Step-by-step explanation:
By definition, the median is the middle number in the set.
Therefore, keeping the definition above on mind, to solve this problem the numbers must be arranged from least to greastest. In the figure shown in the problem, you can see that they are already arranged in this order. Therefore, the middle number in the set is:
14, 28, 33, 42, 53, 81, 97
Then, you can conclude that the median is: 42.
Therefore, the answer is the Option C.