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Eva8 [605]
3 years ago
14

Ben has a cell phone plan that provides 200 free minutes each month for a

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

The piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

Step-by-step explanation:

Let x be the minutes over cell phone

Let f(x) represents the piecewise function that represents the charges based on Ben's cell phone plan.

We are given that Ben has a cell phone plan that provides 200 free minutes each month for a  flat rate of $39.

So,f(x)= 39, x \leq 200

We are also given that  For any minutes over 200, Ben is charged $0.35 per minute.

So, Minutes over 200 = x-200

f(x)=39 + 0.35(x - 200), x > 200}

Hence the piecewise functions accurately represents charges  based on Ben's cell phone plan is :

f(x)= 39, x \leq 200\\f(x)=39 + 0.35(x - 200), x > 200}

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Answer:

Breadth = 8 cm

Length = 17 cm

Step-by-step explanation:

Given rectangle:

Breadth = x cm

Length = x + 9 cm

Area = length * breadth

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       = x² + 9x

Rectangle with length and breadth increased:

Breadth = x + 3 cm

Length = x + 9 + 3 = x + 12 cm

Area = 84 + (x² + 9x) cm²

(x +3) * (x +12) = 84 + x² +  9x

Use FOIL method

x*x  + x*12 + 3*x + 3*12 = 84 + x² + 9x

      x² + 12x + 3x + 36  = 84 + x² + 9x  {add the like terms}

             x² + 15x  + 36  = 84 + x² + 9x

x² + 15x + 36 - 84 - x² - 9x = 0

      6x - 48 = 0

             6x = 48

             x = 48/6

        x = 8

Breadth = x = 8 cm

Length = x + 9 = 8 +9 = 17 cm

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A school play earned over $250 from selling tickets, which cost $11 each. Which of the following inequalities models this situat
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5/18 + (-1/6)

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