Answer:
b = 6.79
Step-by-step explanation:
Data provided:
logb(5) = 0.84
Now,
From the properties of log function
logₓ (z)=
(where the base of the log is equal for both numerator and the denominator)
also,
log(xⁿ) = n × log(x)
thus,
using the above properties, we can deduce the results as:
logₓ(y) = n is equivalent to y = xⁿ
Thus,
logb(5) = 0.84
⇒
= 0.84
or
log(5) = 0.84 × log(b)
or
log(5) =
(as log(xⁿ) = n × log(x) )
taking the anti-log both sides
we get
5 =
or
b = 6.79
To determine the percent change in price, solve for the differences between the original prices and the sale prices. Then, divide the difference by the original price and multiply by 100%.
Guitar 1: (($160 - $100) / $160) x 100% = 37.5%
Guitar 2: (($250 - $150) / $250) x 100% = 40%
Thus, guitar 2 has a greater percent change in price.
The graph and inverse of a function are reflections of each other along the line y = x.
A relation made up of ordered pairs (x, y) has as its inverse the set of all ordered pairs (y, x).
When a point is mirrored over the line y = x, the x- and y-coordinates swap places. Similarly, when a point is mirrored over the line y = -x, the x- and y-coordinates swap places and become negated.
Therefore,
The point (x, y)'s reflection over the line y = x is (y, x).
The point (x, y)'s reflection over the line y = - x is (-y, -x).
Thus, the graph and inverse of a function are reflections of each other along the line y = x.
Learn more about reflections for inverse of a function at
brainly.com/question/14544356
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Answer:

Step-by-step explanation:

<u>Divide both sides by -2:</u>
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<u />
<u>Divide -20 by -2 = 10</u>
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<u>Subtract 4 from both sides:</u>
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<u />
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<u>______________________</u>
Put 14 tiles or counters in a pile then take six tiles or counters away since you’re adding to a negative