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Yakvenalex [24]
2 years ago
10

the diagram represents the unit rate of making copies on a copy machine. Which table represents the rate of making copies on thi

s copy machine?

Mathematics
1 answer:
Sav [38]2 years ago
7 0

The unit rate is the amount of book copy made in a second

The table that represents the unit rate is table (b)

<h3>How to determine the table?</h3>

The interpretation of the diagram for making copies is:

Rate = 4 copies per second

This means that:

The table that represents this diagram must have a slope or rate of 4

From the list of options, the table (b) has a slope of 4.

This is calculated as:

Slope = Copies/Time

So, we have:

Slope = 40/10 = 4

Hence, the table that represents the unit rate is table (b)

Read more about unit rates at:

brainly.com/question/19493296

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Answer:

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Step-by-step explanation:

Given

Base\ Charge = \$39

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The total charges (c(x)) is: the base charge + the rate * number of miles (x).

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c(x)= 39 + 0.09 * x

c(x) = 39 + 0.09 x

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This implies that x = 160

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c(x) = 39 + 0.09 x

c(160) = 39 + 0.09 *160

c(160) = 39 + 14.4

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Answer:

The minimum value of f(x) is 2

Step-by-step explanation:

  • To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
  • Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)

∵ f(x) = 2x² - 4x + 4

→ Find f'(x)

∵ f'(x) = 2(2)x^{2-1} - 4(1)x^{1-1} + 0

∴ f'(x) = 4x - 4

→ Equate f'(x) by 0

∵ f'(x) = 0

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∵ 4x - 4 + 4 = 0 + 4

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→ Divide both sides by 4

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→ The minimum value is f(1)

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∴ f(1) = 2 - 4 + 4

∴ f(1) = 2

∴ The minimum value of f(x) is 2

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Answer:

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Step-by-step explanation:

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x² - 2x + y = 4

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x² + 2(- 1)x + 1 + y = 4 + 1, that is

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The equation of a parabola in vertex form is

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y = - (x - 1)² + 5 ← is in vertex form

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