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Brut [27]
3 years ago
15

Linear Law Additional Mathematics F4​

Mathematics
1 answer:
dolphi86 [110]3 years ago
3 0

Answer:

h = 3, k = 64

Step-by-step explanation:

Given

log_{2} y = - \frac{1}{2} log_{2} x + 3

In the form

y = mx + c ( m is the slope and c the y- intercept )

Then

h = 3

On the log_{2} axis log_{2} y = 0 then

0 = - \frac{1}{2} log_{2} k + 3 ( subtract 3 from both sides )

- 3 = - \frac{1}{2} log_{2} k ( divide both sides by - \frac{1}{2} )

6 = log_{2} k , then

k = 2^{6} = 64

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What should be the next number in the following series? 100 96 104 88 120 56 _ ?_
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Answer:

  • <em>The next number in the series 100, 96, 104, 88, 120, 56, ... is</em>: <u>184</u>

Explanation:

1) You need to try to find a pattern in the given sequence, so that you can conclude a rule to determine each number in the sequence.

2) The first logical approach to find such pattern is to find the differences between any pair of consecutive numbers. That leads you to this:

  • 96 - 100 = - 4
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  • 120 - 88 = 32
  • 56 - 120 = - 64

3) From that, you can see that the difference between two consecutive numbers is scaled by a factor of - 2. That is shown here:

  • First difference = - 4
  • Second difference = 8 = - 4 ( - 2)
  • Third difference = - 16 = 8 (- 2)
  • Fourth difference = 32 = - 16 ( - 2)
  • Fifth difference = - 64 = 32 ( - 2)

4) Therefore, in words, the rule is "add (- 2) times the previous difference", which is:

  • - 64 ( -2) = + 128

         ⇒ 56 + 128 = 184.

         ⇒ Answer: the next number is 184.

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3 years ago
Students who buy tickets at a local movie theater receive a 10% discount on the price of a ticket. what is the total price for t
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Answer:

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Answer: There will be 5 packages of small juice bottles and 3 packages of yogurt.

Step-by-step explanation:

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We need to calculate the least number of bottles of juice and individual yogurt treats ,

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So, number of packages of each package of juice is given by

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And number of packages of each package of yogurt is given by

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Answer:

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Step-by-step explanation:

We have the following numbers -18 and 16 2/3, the first is an integer and the second is a mixed number, the first thing is to pass the mixed number to a decimal number.

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