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  • 19-09-2021
  • Mathematics
contestada

Consider the relationship 7r+6t=14
A. Write the relationship as a function r=f(t)


B. Evaluate f(-7)

C. Solve f(t)=32

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 20-09-2021

9514 1404 393

Answer:

  A. r = (-6/7)t +2

  B. f(-7) = 8

  C. t = -35

Step-by-step explanation:

A. To solve for r, undo what is done to r.

  7r +6t = 14 . . . . . . given

  7r = -6t +14 . . . . . subtract 6t

  r = -6/7t +2 . . . . . divide by 7

  f(t) = -6/7t +2

__

B. f(-7) = (-6/7)(-7) +2 = 6 +2

  f(-7) = 8

__

C. (-6/7)t +2 = 32

  -6/7t = 30 . . . . . . subtract 2

  -6t = 210 . . . . . . . multiply by 7

  t = -210/6 . . . . . . divide by -6

  t = -35

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