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Annette [7]
3 years ago
6

Our family road trip to Yellowstone required driving approximately 610 miles. After 4 hours of driving we stopped for lunch and

found we had traveled 252 miles. At this rate, how much longer (in hours) will the remainder of our trip take? Round your answer to the nearest tenth of an hour. PLEASE HELP
Mathematics
1 answer:
Sonja [21]3 years ago
7 0
Less then 10hrs but more then 9hrs not sure exactly
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Answer:

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Step-by-step explanation:

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Rate of change = \frac{f(b) - f(a)}{b - a}

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Help with 8 and 9??? Please help me out! Correct answers please
Ipatiy [6.2K]

Answer:

  8.  (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

  9.  f(g(x)) = 4x/(1+6x)

Step-by-step explanation:

8. For f(g(x)) to be defined, g(x) must be defined and f(g(x)) must be defined.

g(x) will be defined for all x≠0. f(g(x)) will be defined for g(x)≠4. Solving g(x)=4, we find the value of x is 1/3. (The answer choices give a clue.)

So, the domain of f(g(x)) is all x that is not 0 or 1/3. Only one answer choice makes those particular exclusions:

  (-∞, 0) ∪ (0, 1/3) ∪ (1/3, ∞)

__

9. Substituting the definition of g(x) into the expression for f(x), we get ...

\displaystyle (f\circ g)(x)=f(g(x))=\frac{2}{g(x)+3}=\frac{2}{\frac{1}{2x}+3}\\\\=\frac{2}{\left(\frac{1+6x}{2x}\right)}\\\\(f\circ g)(x)=\frac{4x}{1+6x}

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