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charle [14.2K]
3 years ago
14

Of all the people that attend movies 67% are in the 12-29 age group. At one theater 500 people attended a showing of a certain m

ovie. How many were in the 12-29 age group
Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
6 0
You do 500 people times .67 to get the answer. The answer is 335 people
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Given:

The two functions are:

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To find:

The statement that best compares the graph of g(x) with the graph of f(x).

Solution:

The horizontal stretch is defined as:

g(x)=f(kx)            ...(i)

If 0, the function f(x) is horizontally stretched by factor \dfrac{1}{k}.

If k>1, the function f(x) is horizontally compressed by factor \dfrac{1}{k}.

We have,

f(x)=x^2

g(x)=\left(\dfrac{1}{3}x\right)^2

Using these functions, we get

g(x)=f\left(\dfrac{1}{3}x\right)         ...(ii)

On comparing (i) and (ii), we get

k=\dfrac{1}{3}

Since 0, the function f(x) is horizontally stretched by factor \dfrac{1}{\frac{1}{3}}=3.

Hence, the correct option is D.

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2 years ago
If the cost of manufacturing mobile phones is $10,000 for the factorytime plus $80 per phone and that each
ozzi

Answer:

500 phones

Step-by-step explanation:

cost of manufacturing: y = 80x + 10,000

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100x = 80x + 10,000

100x - 80x = 80x - 80x + 10,000

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p > 0 \Rightarrow

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3 years ago
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