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maria [59]
4 years ago
10

Find x such that x - 4, x, and 3x - 8 are three consecutive terms in a geometric sequence

Mathematics
1 answer:
Nitella [24]4 years ago
8 0
In a geometric sequence dividing any term by the term before it yields the common multiplier.
Then x/(x+8) = (3x-8)/x
Solving for x:  reduces to x^2-10x +16 factor into (x-2)(x-8)
Then x = 2 or 8
2 produces a sequence of -2, 2, -2 ...
8 produces a sequence of 4, 8, 16 ...
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Fun park charges an entry fee of $2 for any family with less than 5 members. The park charges $3 less than the number of family
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A piecewise function is a function that behaves differently in different intervals.

Here the piecewise function is:

f(x) = $2     if    x < 5  

f(x) = x - $3  if   x ≥ 5

We know that:

"Fun park charges an entry fee of $2 for any family with less than 5 members."

"The park charges $3 less than the number of family members for the entry of any family with 5 or more members."

If we define x as the number of members of a family, the function of the price will be:

f(x) = $2     if    x < 5 (the cost is $2 if the family has less than members)

f(x) = x - $3  if   x ≥ 5   (the cost if the family has 5 members or more)

If you want to learn more, you can read:

brainly.com/question/12561612

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Step-by-step explanation:

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Choose the graph that solve the following system x-4y=2 3x+2y=6
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X - 4y = 2.....multiply by -3
3x + 2y = 6
-------------
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14y = 0
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3x + 2y = 6
3x + 2(0) = 6
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