Which statement correctly identifies an asymptote of f (x) = StartFraction 16 x squared minus 35 Over x squared minus 5 EndFraction using limits?

Because Limit of f (x) as x approaches plus-or-minus infinity = 7, the function has a vertical asymptote at x = 7.
Because Limit of f (x) as x approaches plus-or-minus infinity = 7, the function has a horizontal asymptote at y = 7.
Because Limit of f (x) as x approaches plus-or-minus infinity = 16, the function has a vertical asymptote at x = 16.
Because Limit of f (x) as x approaches plus-or-minus infinity = 16, the function has a horizontal asymptote at y = 16.

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Edge

Answer 2

The limit of x approaching infinite of a function gives it's horizontal assymptote. We use this to solve the question, getting the following answer:

Because Limit of f (x) as x approaches plus-or-minus infinity = 16, the function has a horizontal asymptote at y = 16.

Horizontal asymptote:

An horizontal asymptote is the value of y given by:

[tex]y = \lim_{x \rightarrow \infty} f(x)[/tex]

In this question:

[tex]f(x) = \frac{16x^2 - 35}{x^2 - 5}[/tex]

The horizontal asymptote is:

[tex]y = \lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow \infty} \frac{16x^2 - 35}{x^2 - 5}[/tex]

Considering it is a limit of x going to infinite, we just consider the terms with the highest exponents both in the numerator and in the denominator, so:

[tex]y = \lim_{x \rightarrow \infty} \frac{16x^2 - 35}{x^2 - 5} = \lim_{x \rightarrow \infty} \frac{16x^2}{x^2} = \lim_{x \rightarrow \infty} 16 = 16[/tex]

Thus, the correct answer is:

Because Limit of f (x) as x approaches plus-or-minus infinity = 16, the function has a horizontal asymptote at y = 16.

From the graph of the function, given at the end of this answer, you can check that as x goes to infinity, y(green line) approches 16(blue line).

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Which Statement Correctly Identifies An Asymptote Of F (x) = StartFraction 16 X Squared Minus 35 Over

Related Questions

Which of the following is(are) the solution(s) to | 3 x + 10 |= 10 ?

Answers

Answer:

x=0, -20/3.

Step-by-step explanation:

abs(3x+10)=10

3x+10=10, 3x+10=-10

3x=10-10, 3x=0, x=0/3, x=0,

3x=-10-10, 3x=-20, x=-20/3

Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?


A. constant correlation
B. negative correlation
C. positive correlation
D. no correlation

Answers

Answer: B

Step-by-step explanation:

Correlation tells us the relationship of 2 variables. Looking at the graph, the data appears to going down, as we read graphs from left to right. We can automatically eliminate C and D, since we have determined going down. We know it's also not A because if the correlation is constant, then all the dots would be lined up, and not scattered around. Since the dots are going down, this tells us that it is a negative correlation. Hence, B is the answer.

Answer:

B. negative correlation

Step-by-step explanation:

What is the longest triangle side called?

Answers

Answer:

The Hypotenuse

Step-by-step explanation:

The Hypotenuse is the longest side of a Triangle.

6. Find the quotients.
a. 0.024 ÷ 0.015
b. 0.24 0.015
c. 0.024 ÷ 0.15
d. 24 ÷ 15

Answers

Answer:

a. 1.6

b. 16

c. 0.16

d. 1.6

Olivia tries to cut a piece of metal 45 inches long the piece of metal ends up being 43. 5 inches long what is the approximate orecent error in this situation

Answers

When Olivia tries to cut a piece of metal 45 inches long, the piece of metal ends up being 43.5 inches long, then there is an approximate percent error of 3.33%  in this situation.

Therefore the answer is 3.33%.

To calculate the approximate percent error in this situation, we can use the formula:

Percent Error = (|Experimental Value - Theoretical Value| / Theoretical Value) x 100

In this case, the experimental value is 43.5 inches and the theoretical value is 45 inches. Plugging these values into the formula, we get:

Percent Error = (|43.5 - 45| / 45) x 100

= (1.5 / 45) x 100

= 0.033 x 100

= 3.33%

So the approximate percent error in this situation is 3.33%.

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11. An auditor has been assigned the task of inspecting the dice used in a local gaming resort. A fair die show's a 6 face up one-sixth of the time. In order to determine if a die for a particular game is fair, he must observe a long number of trials and record the proportion of the time that the die lands showing a 6 facing up. The graph below shows the cumulative proportion of sixes that are rolled for 100 consecutive trials of a particular game.​

Answers

Answer:

where is the graph

Step-by-step explanation:

Answer:

e This die appears to be fair because the proportion of sixes fluctuates greatly.

Step-by-step explanation:

For a fair die, we would expect the proportion of sixes to be approximately 1/6 = 0.167. Because the observed proportion is not the same as 0.167, we have reason to suspect that the die is not fair.

1203 convert binary into decimal​

Answers

I think it would be 12.03

Answer:

decimal: 10010110011

Step-by-step explanation:

The following federal tax table is for biweekly earnings of a
single person.
A single person earns a gross biweekly salary of $840. By
claiming 2 more withholding allowances, they would have
$30 more in their take home pay. How many withholding
allowances do they currently claim?

Answers

Therefore , the solution to the given problem of unitary method comes out to be he will have $870.

What is unitary method, exactly?

The unit method is a method of problem-solving that entails calculating the variable of one unit, multiplying that value, and then calculating the required value. To describe it simply, the unit method is employed to obtain a single entity value from a specified multiple. One pen costs 400 rupees, thus 40 needles would cost 400 rupees. There might be a regular procedure for doing this out. merely one nation. anything containing a distinctive component. Logic of matrices or operators, algebra, mathematical analysis, and its adjoint and reciprocal are all equivalent.

Here,

To address the issue,

if the person gets a gross biweekly salary of $840 and claims 2 extra withholding allowances,

their take-home pay would increase by $30.

thus,

They will have 840 + 30 = $870

Therefore , the solution to the given problem of unitary method comes out to be he will have $870.

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Which segment is the shortest?​

Answers

the smallest angle will yield the shortest opposite side, likewise the largest angle will yield the largest side, Check the picture below.

heeeeeeeeeelp meeeeeee

Answers

Answer:

81

Step-by-step explanation:

Find out the percentage of people who had mispriced item.

3/50 = 0.06

6% of people had mispriced items.

Find 6% of 1,350.

81

81 people would have mispriced items.

Answer:

81

Step-by-step explanation:

I did this by doing 1,350 ÷ 50, which gave me 27. I then did 27 times 3, the average amount of people with a mispriced item per 50 people, which gave me 81 as a result. And with that, I can conclude that you would expect there to be 81 people per day who have a mispriced item.

21=3xv what is the number for v

Answers

Step-by-step explanation:

1 Divide both sides by 33.

\frac{21}{3}=xv

3

21

=xv

2 Simplify \frac{21}{3}

3

21

to 77.

7=xv

7=xv

3 Divide both sides by vv.

\frac{7}{v}=x

v

7

=x

4 Switch sides.

x=\frac{7}{v}

x=

v

7

Done


35x+60y>(or equal to)7,000
Solve for x and y

Answers

For this question u have to assume value of either x or y

For example

to find the value of x

side calculation (7000/35 = 200)

let x = 200

then 35(200) +60y = 7000

7000 + 60y = 7000

60y = 7000-7000

so y = 0

so value of x should be greater than or equal to 200

x >(or equal to) 200

to find the value of y

side calculation ( 7000/60 = 116.67)

let y = 116.67

then 35x + 60(116.67) = 7000

35x + 7000 = 7000

35x = 7000-7000

35x=0

so x = 0

so the value of y should be greater than or equal to 116.67

y >( or equal to 116.67)

Find the circumference of the object. Use 3.14 or 22 for 1. Round to the nearest hundredth, if necessary.
DATE:
1.5 ft

Answers

Answer:

9.42 ft

Step-by-step explanation:

We know the diameter is equal to 1.5 ft.

The equation for circumference is [tex]2[/tex]πr.

Let's insert the numbers we already have.

2(3.14)(1.5)

= 9.42 ft

SHOW WORK PLEASE
This is urgent I need help please please please

Answers

Answer:

2.91 units

Step-by-step explanation:

If and only if this is a right triangle, we can apply the some fimctopm to determine the length of side BD:

                              side BC

tan 20 degrees = ---------------

                                    8

or side BC = 8 tan 20 degrees.  Since tan 20 degrees = 0.364 radians,

side BC has length 8(0.364) = 2.91 units

A consumer organization estimates that over a 1-year period 17% of cars will need to be repaired once, 7% will need repairs twice, and 4% will require three or more repairs. What is the probability that a car chosen at random will need

Answers

The probability that a car chosen at random will need no​ repairs = 72%; no more than one​ repair = 91%;  some​ repairs = 9%

What is probability?

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

28% of all vehicles will require some sort of repair; of these, 19% will require one repair, 7% will require two repairs, and 2% will require more than two repairs.

The number of vehicles that would not require any form of repairs is equal to the entire number of vehicles less the proportion that requires repairs; for example, 100% - 28% = 72%. The total number of automobiles minus the percentage that require more than one repair equals the percentage of vehicles that will require no repairs or just one

; hence, 100% - (7% + 2%) = 91%. The total number of vehicles in need of repairs is equal to the product of those with two repairs and those with three or more.

the probability that a car chosen at random will need no​ repairs = 72%; no more than one​ repair = 91%;  some​ repairs = 9%

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Pllease help with this sheet I'll give brainliest! NO LINKS I will report if so!​

Answers

Answer: 700

Step-by-step explanation: at the bottom it shows the days and the top it shows how many cookies she ate so if you go up and stop at 7 it will be 700

A yearbook page will show 20 photos displayed in rows. Each row must contain the same number of photos. How many different ways can the photos be arranged?

Answers

A traditional yearbook should have a few pages for the school's administrators, faculty, and other staff members, class or student portraits, several pages for clubs, teams, or other group photos, a section for special awards & superlatives, event pages typically with a collage of school events, and graduating class.

What pages are in a yearbook?

Despite possible differences in size and appearance, school yearbooks all have a similar structure and content makeup. A school yearbook is essentially a "memory book" that emphasizes the pupils, teachers, and activities that took place during the academic year.

Additionally, yearbooks give kids the chance to request the autographs of their friends and professors and give them a place to write personal notes, "inside jokes," and other remarks. Overall, a yearbook gives students a tangible memento of the academic year.

The only thing we are doing is dividing if we require that all of the rows be equal.

20/1= 20

20/2= 10

20/4=5

20/5=4

20/10=2

20/20=1.

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Using Euler's Method with a step size of h = 0. 2, estimate the value for y(1. 4) for the differential equation y plus 2 times dy dx equals the product of the natural logarithm of y and the sine of x, with y(1) = 2

Answers

Refer to the image attached.

7.) On Monday the rate for a hotel suite is $299.00 a night plus 6% tax. That same room rents for $349.00 plus 6% tax on a Friday. What is the difference in costs including tax between the two nights?​

Answers

Answer:

The difference in costs including tax between the two nights is $53

Step-by-step explanation:

To find the cost of the hotel suite on Monday including tax, we first calculate the amount of tax by multiplying the room rate by 6% (0.06):

$299.00 * 0.06 = $17.94

So the total cost of the room on Monday including tax is:

$299.00 + $17.94 = $316.94

Next we find the cost of the hotel suite on Friday including tax:

$349.00 * 0.06 = $20.94

So the total cost of the room on Friday including tax is:

$349.00 + $20.94 = $369.94

Finally, to find the difference in costs between the two nights, we subtract the cost of the room on Monday including tax from the cost of the room on Friday including tax:

$369.94 - $316.94 = $53

The difference in costs including tax between the two nights is $53.

Answer:

The difference in costs including tax between the two nights is $53

--------------------------------

The cost x including a 6% tax is:

x + 6% =x + 0.06x = 1.06x

The difference in costs including tax is:

349*1.06 - 299*1.06 = (349 - 299)*1.06 = 50*1.06 = 53

A 15 m pole is leaning against a wall. The foot of the pole is 10 m from the wall. Find the angle the pole makes with the ground.

Answers

Answer:

∅ ≈ 48.2º

Step-by-step explanation:

cos∅ = adj/hyp = 10/15 = 2/3

Therefor

∅ = arccos 2/3

use calculator

∅ = 48.189685104221402

∅ ≈ 48.2º

Which relation below is a function?
A.xy0–51–60–72–8


B.xy05160728


C.xy00110429


D.xy00132436

Answers

Answer:

the answer is D

Step-by-step explanation:

the rest of the answer all have an x-value repeating twice and D doesn't

Answer:

A

Step-by-step explanation:

(10 POINTS) ATTENTION! PLEASE HELP! WILL GIVE BRANLIEST TO ACCURATE ANSWER

Answers

Answer:

B. 10cm, 6cm, 8cm

Step-by-step explanation:

Using the Pythagorean theorem, we can conclude that 10cm, 6cm, and 8cm can form a right triangle:

6^2+8^2 = c^2

36+64 = c^2

100 = c^2

sqrt100 = c

10 = c

What is the measure of angle GFH?

Answers

Your answer is A.99

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

Step-by-step explanation:

The most precise quadrilateral is a rhombus as

it is slanted and all sides are seems to be equal.

Trapezoid

It is not parallelogram because

On left side slanting it takes 2 boxes from top to bottom whereas on right sides it only takes one box .

But top two sides are parallel almost

Trapezoid is most suitable

Most accurately it's scalene quadrilateral

Graph the line with 1 passing through the point (3, -4)

Answers

Answer:y=1x-7

Step-by-step explanation:

A line passes through the points (-2,8) and (5,-20)

Answers

The linear equation that passes through these two points is:

y = -4x

How to find the equation for the line?

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we know that the line passes through two known points (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁)

Here we know the two points (-2, 8) and (5, -20), so the slope is:

a = (-20 - 8)/(5 + 2) = -28/7 = -4

So the line is:

y = -4*x + b

To find the value of b, we can replace the values of the point (-2, 8), so we will get:

8 = -4*(-2) + b

Now we can solve this for b.

8 = -4*(-2) + b

8 = 4*2 + b

8 = 8 + b

8 - 8 = b

0 = b

Then the linear equation is:

y = -4*x

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Please Help with this question

Answers

1. Less than 300
2. More than 300
3. Less than 300
4. Less than 300

He will save $88.97

I hope they are all right!

Find the equation of a line that passes through the points (-1,-5) and (-3,-4). Leave your answer in the form y=mx+c

Answers

Answer:

y = -1/2x - 11/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-5) / -3 - (-1)

1/ -2

= -1/2

y = -1/2x + b

-5 = -1/2(-1) + b

-5 = 1/2 + b

-11/2 = b

2 1/3 grams of spice A was mixed with 4 1/7 grams of spice B. The ratio of spice A to spice B is 1:

Answers

The ratio of spice A to spice B is : 49/87

Here, 2 1/3 grams of spice A was mixed with 4 1/7 grams of spice B.

First we convert the improper fraction into a proper fraction.

For improper fraction2 1/3,

2 1/3

= (2 × 3)/3 + 1/3

= 6/3 + 1/3

= (6 + 1)/3

= 7/3 which is a proper fraction.

and for 4 1/7

= (4 × 7)/7 + 1/7

= 28/7 + 1/7

= (28 + 1)/7

= 29/7

The ratio of spice A to spice B would be,

(2 1/3) / (4 1/7 )

= (7/3) / (29/7)

= (7/3) × (7/29)

= (7 × 7)/(3 × 29)

= 49/87

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A company has designed a new cereal box. This new box has a height of 25 cm, a width
of 2.5 cm, and a length of 12.5 cm. Cardboard used to create these boxes is purchased
from a wholesale supplier at a rate of 0.00016 cents per square centimeter. What is the
cost to produce each box?

Answers

Answer:

$0.13 to produce each box.

Step-by-step explanation:

S= ph+2b

p= 12.5+2.5+12.5+2.5=30

h=25

b= 12.5x2.5=31.25

S= (30)(25) +2 (31.25)

S= [tex]812.5cm^{2}[/tex]

812.5 x 0.00016= 0.13

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