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Debora [2.8K]
3 years ago
14

F(x)=4x+2 and g(x)=4(x−9)+2. What transformation occurs from function f to function g? a translation 9 units right a horizontal

compression by a factor of 9 a horizontal stretch by a factor of 9 a translation 9 units down
Mathematics
1 answer:
marishachu [46]3 years ago
5 0

Answer:

A translation 9 units right

Step-by-step explanation:

Given

f(x) = 4x + 2

g(x) = 4(x -9)+ 2

Required

Translation of f(x) to g(x)

To do this, we take the options one after the other.

A translation 9 units right

When an original function f(x) is translated to the right by h points, the resulting function g(x) is

g(x) = f(x - h)

So, we have that:

f(x) = 4x + 2

When translated to the right by 9 points,

g(x) = 4(x - 9) + 2

<em>Hence, option A answers the question</em>

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Answer:

(a) The inequality for the number of items, x, produced by the labor, is given as follows;

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(b) The inequality for the cost, C is $1,000 ≤ C ≤ $3,000

Step-by-step explanation:

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(b) The cost of producing a single item on line A = $5

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Cost = 250 × 4 = $1,000

When the maximum number of items possible, 1,250, is produced, whereby we have 250 items produced from line B and 1,000 items produced from line A, the total cost becomes;

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$3,000/$5 = 600 items = The maximum number of items that can be produced

The inequality for the cost, C, becomes;

$1,000 ≤ C ≤ $3,000

The time to produce the maximum 600 items on line A alone is given as follows;

1 hour/item × 600 items = 600 hours

The inequality for the number of items, x, produced by the labor, is therefore, given as follows;

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