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Anvisha [2.4K]
4 years ago
15

Using this table below, what is the rate of change? Don't forget to include your units.

Mathematics
1 answer:
NeX [460]4 years ago
3 0
(24,18)(28,21)
slope(rate of change) = (21 - 18) / (28 - 24) = 3/4 <==
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The sum of 3 consecutive odd numbers is 51. What is the second number in this sequence?
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Assume the second number is x, then the other two are x - 2, x + 2

So x-2 + x + x + 2 = 51

-> 3x = 51

-> x = 17
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Question 9 of 10 Which of the following is most likely the next step in the series? OA. O B. O C. O D.​
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​write the logarithm as a sum or difference of logarithms. simplify each term as much as possible. log4(6ab)
Dominik [7]

The logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

<h3>Simplifying Logarithms</h3>

From the question, we are to write the given logarithm expression as a sum or difference of logarithms

The given logarithm is

log_{4 }6ab

This can be written as

log_{4 }6 \times a \times b

From one of the rules of logarithm, we have that

log_{x }yz= log_{x }y + log_{x }z

Thus,

log_{4 }6 \times a \times b  becomes

log_{4 }6 + log_{4 }a + log_{4 }b

This can be further simplified into

log_{4 }3 \times 2 + log_{4 }a + log_{4 }b

log_{4 }3 + log_{4 }2 + log_{4 }a + log_{4 }b

If desired, this can be further simplified into

log_{4 }3 + log_{2^{2}  }2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} log_{2}2 + log_{4 }a + log_{4 }b

log_{4 }3 + \frac{1}{2} (1)+ log_{4 }a + log_{4 }b

\frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Hence, the logarithm written as a sum of logarithm and simplified as much as possible is \frac{1}{2} +log_{4 }3 +  log_{4 }a + log_{4 }b

Learn more on Simplifying logarithms here: brainly.com/question/17851187

#SPJ1

8 0
2 years ago
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