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denpristay [2]
4 years ago
11

Determine the solution(s) to the system given the pair of tables. Fill in the blanks with your answers.

Mathematics
1 answer:
Bezzdna [24]4 years ago
7 0

Answer:

(-1,-4) & (4,6)

Step-by-step explanation:

Solution is the point(s) (x,y) which lie on both the functions.

(-1,-4) & (4,6) are the points common to both functions

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Answer:

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Let the number of digits be n and the number of elements in set be s.

<h3>When n = 1</h3>
  • The set contains 1-digit numbers, 1 through 9,
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<h3>When n = 2</h3>
  • The set contains 2-digit numbers, 10 through 99,
  • The set contains 100 - 10 = 90 numbers.

<h3>When n = 3</h3>
  • The set contains 3-digit numbers, 100 through 999,
  • The set contains 1000 - 100 = 900 numbers.

The pattern we see helps us determine the relationship between s and n as follows.

When set contains n-digit numbers, the set contains:

  • s = 10ⁿ - 10ⁿ⁻¹ = 10ⁿ⁻¹(10 - 1) = 9*10ⁿ⁻¹ elements

We have s known, substitute it into equation above and solve for n:

  • 900000000 = 9*10ⁿ¹
  • 100000000 = 10ⁿ⁻¹
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The numbers in the set s are 9-digit long.

4 0
2 years ago
Which calculation results in the best estimate of 148 % of 203
adoni [48]
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3 years ago
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Step-by-step explanation:

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