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valkas [14]
3 years ago
12

For the function y = 15x – 4, assume the domain is only values of x from 0 to 5. What is the range of the function?​

Mathematics
1 answer:
Harrizon [31]3 years ago
3 0
X = 0 y = 15(0) - 4 = -4
x = 1 y = 15(1) - 4 = 11
x = 2 y = 15(2) - 4 = 26
x = 3 y = 15(3) - 4 = 41
x = 4 y = 15(4) - 4 = 56
x = 5 y = 15(5) - 4 = 71
range = largest - smallest
71 - -4 = 75
so the range is 75
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Step-by-step explanation:

  1. gcd(313626, 152346) = gcd(152346, 8934)   since 313626 = (2 × 152346) + 8934
  2. gcd(152346, 8934) = gcd(8934, 468)   since 152346 = (17 × 8934) + 468
  3. gcd(8934, 468)  = gcd(468, 42)            since 8934 = (19 × 468) + 42
  4. gcd(468, 42)  = gcd(42, 6)                     since 468 = (11 × 42) + 6
  5. gcd(42, 6) = gcd(6, 0)                            since 42 = 7 × 6 + 0
  6. gcd(6, 0)  = 6

Working backwards from the third-to-last line,

6 = 468 - (11 × 42)      (line 4)

42 = 8934 - (19 × 468)         (line 3)

Substituting this for 42 in the previous,

6 = 468 - 11(8934 - (19 × 468))

6 = (210 × 468) - (11 × 8934)

Still working backwards,

468 = 152346 - 17 × 8934      (line 2)

Substituting this for 468 in the previous,

6 = (210 × (152346 - 17 × 8934)) - (11 × 8934)

6 = (210 × 152346) - (8934 × 3581)

On line 1,

8934 = 313626 - 2 × 152346

Substituting this for 8934 in the previous,

6 = (210 × 152346) - ((313626 - 2 × 152346) × 3581)

6 = (7372 × 152346) - (313626 × 3581)

Hence, s = -3581 and t = 7373

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