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aleksandrvk [35]
3 years ago
11

One half of the number n increased by 10 is the

Mathematics
1 answer:
gtnhenbr [62]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{n}{2} +10=2n-4

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Find the linear approximation of the function g(x) = 5 1 + x at a = 0. g(x) ≈ use it to approximate the numbers 5 0.95 and 5 1.1
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Differentiating the function

... g(x) = 5^(1+x)

we get

... g'(x) = ln(5)·5^(1+x)

Then the linear approximation near x=0 is

... y = g'(0)(x - 0) + g(0)

... y = 5·ln(5)·x + 5

With numbers filled in, this is

... y ≈ 8.047x + 5 . . . . . linear approximation to g(x)

Using this to find approximate values for 5^0.95 and 5^1.1, we can fill in x=-0.05 and x=0.1 to get

... 5^0.95 ≈ 8.047·(-0.05) +5 ≈ 4.598 . . . . approximation to 5^0.95

... 5^1.1 ≈ 8.047·0.1 +5 ≈ 5.805 . . . . approximation to 5^1.1

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You shopped online and found you mp3 player for $9.75 less than the store price p. The online price was $64. Write and solve an
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Answer:

  • 64 = p - 9.75
  • p = 73.75

Step-by-step explanation:

A value that is 9.75 less than p can be represented by the expression ...

  p - 9.75

We are told that value is equal to 64, so the equation is ...

  64 = p - 9.75

__

This equation is solved by adding 9.75 to both sides.

  64 +9.75 = p -9.75 +9.75

  73.75 = p

The store price is $73.75.

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