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
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B. f(-7) = (-6/7)(-7) +2 = 6 +2
f(-7) = 8
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C. (-6/7)t +2 = 32
-6/7t = 30 . . . . . . subtract 2
-6t = 210 . . . . . . . multiply by 7
t = -210/6 . . . . . . divide by -6
t = -35