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Advocard [28]
3 years ago
12

Identify the vertical asymptotes of f(x) = 2 over quantity x squared plus 3 x minus 10.

Mathematics
1 answer:
zysi [14]3 years ago
3 0
The function is:
f ( x ) = 2 / ( x² + 3 x - 10 )
x² + 3 x - 10 = x² + 5 x - 2 x - 10 = x ( x + 5 ) - 2 ( x + 5 ) =
= ( x + 5 ) ( x - 2 )
x + 5 = 0 => x = - 5
x - 2 = 0 => x = 2
Answer:
The vertical asymptotes are: x = - 5 and x = 2.
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Step-by-step explanation:

Here you go mate

Step 1

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Plan B equation:  y = x + 80

Plan C equation: y = 5x + 50

Plan A costs the same as Plan C in 4 months

Plan A is the better option if you use 0 - 4 GBs of data each month

Plan B becomes the better deal when 8 months pass

Step-by-step explanation:

<u>When does Plan A cost the same as Plan C?</u>

Set the equations equal to each other (the cost) and solve for x (time in months)

10x + 30 = 5x + 50

5x = 20

x = 4 months

<u>Which plan is best if you only use 0-4 GBs of data a month?</u>

Test the maximum and minimum values to check which plan costs less

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Plan A:  y = 0 + $ 30 = $30 total

Plan B: y = 0 +$80 = $80 total

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At 4 GBs of data used per month

Plan A: y = $ 40 + $ 30 = $ 70

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Comparing the plans at maximum and minimum amount of GBs used, only one plan has the lowest cost overall. Even though Plan C is the same price at 4 GBs as Plan A, when you use 0 GBs you will end up paying more in Plan C than Plan A. Therefore, Plan A is the better option

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When you plot the different Plans on a graph, the slope intercept of x = 7.5 (rounded up to 8) yields the lowest cost for plan B

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Listed below are amounts​ (in millions of​ dollars) collected from parking meters by a security service company and other compan
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Answer:

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Step-by-step explanation:

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The relative variability is almost equal in both samples a slight greater variability can be noticed in the first sample.

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