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malfutka [58]
3 years ago
9

Determine the equations of the vertical and horizontal asymptote if any for g(x)= x-1/(2x+1)(x-5)

Mathematics
2 answers:
disa [49]3 years ago
5 0

Answer:

Horizontal asymptote : y = 0

Vertical asymptote :

2x+1 = 0, x-5 = 0

⇒x = \frac{-1}{2} , 5

Step-by-step explanation:

Given : g(x) = \frac{x-1}{(2x+1)(x-5)}

Solution :

Case 1. When the degree of the denominator is larger than the degree of  the numerator), then the graph of y = f(x) will have a horizontal asymptote  at y = 0

Case 2 . the degrees of the numerator and denominator are the same then the graph of y = f(x) will have a horizontal asymptote at y = \frac{a_{n} }{b_{m}}

Case 3 . the degree of the numerator is larger than the degree of the  denominator, then the graph of y = f(x) will have no horizontal asymptote.

Since in the given function degree of numerator is 1 and degree of denominator is 2 So, Case 1 applies here .

Thus Horizontal asymptote : y = 0

Vertical asymptote : for this we equate denominator = 0

2x+1 = 0, x-5 = 0

⇒x = \frac{-1}{2} , 5

AfilCa [17]3 years ago
4 0
I'm not too sure, hopefully the image helps you in some way

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VikaD [51]

Answer:

the exact answer would be 651

Step-by-step explanation:

if you were to estimate I would say you should probably round up to 700

3 0
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djyliett [7]

Answer:

700$ at 2% 800$ at 4%

Step-by-step explanation:

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Now use elimination method.

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3 years ago
A school district has two high schools. The district could only afford to hire 13 guidance counselors. Determine how many counse
Umnica [9.8K]

Answer:

a)

Lowell: 4 counselors

Fairview: 9 counselors

b)

2 new counselors

Step-by-step explanation:

How many counselors should be assigned to each school using Hamilton's method?

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Fairview: 6816

Total number of students: 10400

Divisor D = (Total number of students)/(number of counselors)= 10400/13 = 800

<u>Temporal assignment</u>

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6816/800 = 8 + 0.52 ==> 8 counselors for Fairview

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<u>Final assignment</u>

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Fairview: 9 counselors

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3 years ago
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mario62 [17]
43 × 15 = 645.

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Third, calculate 4 × 5 which is 20. Since 21 is two-digit, carry the first digit 2 to the next column.
Fourth, bring down the carry digit of 2. 
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Sixth, calculate 4 × 1, which is 4.
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Or.. an easier way is to use a calculator. They always come in handy when doing multiplication.

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Answer:

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