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seropon [69]
2 years ago
13

I need help with pre calculus.

Mathematics
1 answer:
Nata [24]2 years ago
5 0

Answer:

  h(x) = 4·log₃(x) +2

Step-by-step explanation:

<h3>Part A:</h3>

  h(x) = f(x) +g(x)

  h(x) = (log₃(x) +3) +(log₃(x³) -1)

  h(x) = log₃(x) +3·log₃(x) +2

  h(x) = 4·log₃(x) +2 . . . . . "simplest" form

  h(x) = log₃(9x⁴) . . . . . . . as a single logarithm

__

<h3>Part B:</h3>

No system of equations is given. Perhaps you want to find x for f(x) = g(x).

  log₃(x) +3 = log₃(x³) -1

  log₃(x) +3 = 3·log₃(x) -1

  4 = 2·log₃(x) . . . . . . . . . . . add 1-log₃(x)

  2 = log₃(x) . . . . . . . . . . . . divide by 2

  3² = x = 9 . . . . . . . . . . . . . take the antilog

The solution to f(x) = g(x) is x = 9.

_____

<em>Additional comment</em>

The relevant rules of logarithms are ...

  a = log₃(b)   ⇔   3^a = b

  log(a^b) = b·log(a)

  log(ab) = log(a) +log(b)

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Step-by-step explanation:

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<u>Answer-</u> C. For every extra person served, the time it takes to prepare a meal increases by 7  minutes.

<u>Solution- </u>

<em>y = 7x+25</em>

Where y = the number of minutes it takes to prepare a meal

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8 0
3 years ago
Solve for w: -4u-w = u+6w
wlad13 [49]

Answer:

A

Step-by-step explanation:

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Answer:

24 in

Step-by-step explanation:

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soldi70 [24.7K]

Answer:

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Step-by-step explanation:

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