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3 years ago

State the vertical asymptote of the rational function. F(x)=(x-6)(x+6)/x^2-9.

Mathematics

1 answer:

IrinaVladis [17]3 years ago

7 0

Answer:

x = 3, x = -3

Step-by-step explanation:

The denominator of f(x) cannot be zero as this would make f(x) undefined. Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

Solve : x² - 9 = 0 ⇒ x² = 9 ⇒ x = ± 3

The vertical asymptotes are x = - 3 and x = 3

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On Friday, you raked leaves for 4 neighbors, on saturay you raked leaves for 5 neighbors, and on Sunday you raked leaves for 3 n

Jet001 [13]

Answer:

The amount paid by each house is $11.25

Step-by-step explanation:

Let the amount paid by each house is $K

Number of neighbors you worked for on Friday = 4

So the amount paid by all of them = 4K

Number of neighbors you worked for on Saturday = 5,

similarly amount paid = 5K

Number of neighbors you worked for on Sunday = 3,

here amount paid = 3K

Also, in total the amount paid = $135

So, Amount paid on {Friday + Saturday +Sunday} = Total Amount

or, 5K + 4K + 3K = $135

or, 12K = 135

⇒K =135/12 = $11.25

So, the amount paid by each house is $11.25

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