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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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259 Students go on a field trip. There are 19 vehicles, some vans and some buses.
Sunny_sXe [5.5K]

Answer:

12 vans

7 Buses

Step-by-step explanation:

I tried multiple versions but I finally got it right.

Since the buses can hold 25 students at a time I multiplied it by 7.

7 x 25 = 175

Then you'll need to find the remainder.

259-175 = 84

This number would be used to find the students going in the van

84/7= 12

So in total there would be 12 vans

and 7 buses

I hope this helps

5 0
3 years ago
Explain how to find the LCM of 8 and 10
Bumek [7]

you need to find the least common factor of 8 and 10.

Step-by-step explanation:

simple

7 0
4 years ago
Read 2 more answers
Solve for x and y.<br> 7x-4<br> #<br> 4y+8<br> 24#<br> +<br> 31
Darina [25.2K]

Answer:

7x-4 = -28

4y+8 = 4(y + 2)

Step-by-step explanation:

3 0
2 years ago
It is given that f(x) = 2x2 - 12x + 10.
Furkat [3]

Answer:

a = 2, b = - 3, c = - 8

Step-by-step explanation:

Expand f(x) = a(x + b)² + c and compare coefficients of like terms, that is

a(x + b)² + c ← expand (x + b)² using FOIL

= a(x² + 2bx + b²) + c ← distribute parenthesis by a

= ax² + 2abx + ab² + c

Compare like terms with f(x) = 2x² - 12x + 10

Compare coefficients x² term

a = 2

Compare coefficients of x- term

2ab = - 12, substitute a = 2

2(2)b = - 12

4b = - 12 ( divide both sides by 4 )

b = - 3

Compare constant term

ab² + c = 10 , substitute a = 2, b = - 3

2(- 3)² + c = 10

18 + c = 10 ( subtract 18 from both sides )

c = - 8

Then a = 2, b = - 3, c = - 8

 

8 0
3 years ago
12 is 30% of ____ <br> (Please explain)
natka813 [3]

Answer:

40

Step-by-step explanation:

In word problems, the word "of" usually means multiply.  Thus, for example, 10% of $50 is $5.  This is because we can write 10% as 0.10 or as 10/100 (which is 1/10) and then multiply:    (1/10)(50) = 5

So, we often see equations like:

    R = (1/2)D        meaning R is 50% of D, or R is half of D

Let x = the number we want to find

This problem says:

 "12 is 30%       of    what number?"

  12 = (30/100) *        x

12 = (3/10)x

(10/3)12 = x             [multiply both sides by (10/3)]

    40 = x        

Checking (very important):      

 Is   12 = (3/10)(40)    ?

       12 = (3)(4)    ?

       12 = 12     ? yes

7 0
2 years ago
Read 2 more answers
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