Find the vertical asymptote(s) of f of x equals quantity 4 x squared plus 3x plus 6 end quantity over quantity x squared minus 3
1 answer:
The vertical asympototes of f(x) are at x = -6 and x = 6
Step-by-step explanation:
To find the vertical asymptote(s) of a rational function,
- Equate the denominator by 0
- Solve it for x
- If x = a, then the vertical asymptote is at x = a
∵
- Equate the denominator x² - 36 by 0
∵ x² - 36 = 0
- Add 36 to both sides
∴ x² = 36
- Take √ for both sides
∴ x = ± 6
∴ There are vertical asymptotes at x = -6 and x = 6
The vertical asympototes of f(x) are at x = -6 and x = 6
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Answer:
b. between $3.04 and $3.36
Step-by-step explanation:
Given,
Price of 1 gallon of gasoline = $3.20
Margin of Error = 5%
We have to find out average cost of gallon of gasoline.
For this, we have to find out 5% of the price of gasoline. Which is calculated by dividing 5 by 100 and then multiply it by 3.20.
Amount of margin of error =
Hence The margin of error is ±, So we will subtract the amount of margin of error with actual amount of 1 gallon of gasoline. Also we will add the amount of margin of error with actual amount of 1 gallon of gasoline.
Margin of error 1 =
Margin of error 2 =
Hence the Average cost of a gallon of gasoline should be between $3.04 and $3.36.