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trapecia [35]
3 years ago
14

Identify the horizontal asymptote of f(x) = quantity 2 x minus 1 over quantity x squared minus 7 x plus 3. y = 0 y = 1 over 2 y

= 2 no horizontal asymptote
Mathematics
2 answers:
Ratling [72]3 years ago
8 0
The horizontal asymptote is the value at the y-axis where the graph approaches the line but not necessarily touching it. Hence, the asymptotic characteristic of the graph. The standard form of a function in fraction form is y = (ax^n +...)/(bx^m+...). There are rules to follow to determine the horizontal asymptote of a function.
1) if n = m , then the horizontal equation is y = a/b
2) if n>m, then there is no horizontal equation
3) if n<m, then the horizontal equation is the x axis ; y = 0.

The function given falls on the third rule hence the horizontal asymptote of the function is at y = 0.
yawa3891 [41]3 years ago
8 0

Answer with explanation:

The function is

f(x)=\frac{2 x-1}{x^2-7 x-3}

→Horizontal asymptote can be calculated as:

1.y= \lim_{x \to 0} \frac{2 x-1}{x^2-7 x-3}\\\\2.y=\lim_{x \to 0}\frac{2 -\frac{1}{x}}{x-7-\frac{3}{x}}\\\\3. y=\frac{2}{\text{-Infinity}}\\\\4.y=0

In Second step dividing numerator and denominator by ,x.

→y=0, is the  horizontal asymptote.

 

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I need help with this question, I can work out the ratio but I am just confused with the question. So do help if you can please.
nirvana33 [79]

Answer:

76%

Step-by-step explanation:

So basically 528 represents a full circle and the amount in the circle is 2:5 to that in the stalls.

So you divide 528 by 2 and then multiply it by 5 to get a full stall of 1320

you then add 1320 and 528 to get a full theater of 1848

to get 2/3 of seats in the stall you divide 1320 by 3 and then multiply it by 2 to get 880.

For 2/3 of the stall and a full circle you add 880 and 528 to get 1408.

You divide the amount of people in the theater on Friday by the total amount of people which the theater can hold so 1408 divided by 1848 and you get the percentage of 76%

8 0
3 years ago
Write 0.000000364 in standard form
Thepotemich [5.8K]

Answer:

yes

Step-by-step explanation:

this number is a decimal

5 0
2 years ago
There are 1,295 students attending a small university.There are 714 women enrolled. What percent of the students are women. Equa
Semenov [28]
If 1295 × p = 714, then you can rearrange the equation to find the percentage.

You have to get p on its own, so you divide 1295 on both sides of the '='.

1295 × p = 714

p = 714 ÷ 1295

p = <span>0.55135135135...

p </span>× 100 = actual percentage

actual percentage = 55.14%
8 0
3 years ago
2x - y = 6<br>4<br>x-y<br>13<br>anch​
yanalaym [24]

Answer:

x=-7, y= -20

Step-by-step explanation:

2x - y =6

x - y = 13

when I subract (x-y =13 ) from (2x-y =6)

2x -y =6

-x +y=-13

______________

x = -7

substitute x=-7 in the second equation

-7 - y =13

-y = 13 +7

-Y = 20

Y=-20

x=-7, y= -20

8 0
3 years ago
Read 2 more answers
A growth medium is inoculated with 1,000 bacteria, which grow at a rate of 15% each day. What is the population of the culture 6
Leto [7]
<h2>Number of bacteria after 6 days is 2313</h2>

Step-by-step explanation:

Population after n days is given by

              P_n=P_0(1+r)^n

Initial population, P₀ = 1000

Increase rate, r = 15 % = 0.15

Number of days, n = 6

Substituting

             P_n=P_0(1+r)^n\\\\P_6=1000(1+0.15)^6\\\\P_6=1000(1.15)^6\\\\P_6=1000\times 2.313\\\\P_6=2313

Number of bacteria after 6 days = 2313

7 0
3 years ago
Read 2 more answers
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