Show all work to identify the asymptotes and zero of the function f of x equals 4 x over quantity x squared minus 16.

Show All Work To Identify The Asymptotes And Zero Of The Function F Of X Equals 4 X Over Quantity X Squared

Answers

Answer 1

9514 1404 393

Answer:

asymptotes: x = ±4, y = 0zero: x = 0

Step-by-step explanation:

The function factors as ...

  [tex]f(x)=\dfrac{4x}{(x-4)(x+4)}[/tex]

The vertical asymptotes are found where the denominator factors are zero:

  x-4 = 0   ⇒   x = 4

  x+4 = 0   ⇒   x = -4

The zero of the function is where the numerator is zero:

  4x = 0   ⇒   x = 0

The horizontal asymptote of the function is the value of 4x/x² when x tends to infinity. That value is zero. The equation of the horizontal asymptote is ...

  y = 0

Show All Work To Identify The Asymptotes And Zero Of The Function F Of X Equals 4 X Over Quantity X Squared

Related Questions

what is 2 1/4 x 9/5 PLES and thank uuuuu

Answers

Answer:

[tex]2 \frac{1}{4} \times \frac{9}{5} [/tex]

[tex] \frac{9}{4} \times \frac{9}{5} \\ \frac{81}{20} [/tex]

Miguel Ponce has P1,500.00 cash. If he bought a pair of shoes for P1,325.00, what is the percent of the remaining cash he has left?

Answers

Answer:

Step-by-step explanation:

Cash remaining=P1, 500.00-P1,325.00

                         =P175

Percent of the remaining cash=      Cash Remaining        × 100

                                                     Cash he originally had

                                                =  P175 × 100

                                                  P1 500        

                                                =11[tex]\frac{2}{3}[/tex] %or 11.6666666% or 11.67% when rounded to two decimal places.              

A percentage is a way to describe a part of a whole. The percent of the remaining cash he has left is 11.667%.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Value of the Remaing Cash = P1,500.00 - P1,325.00

                                              = P175.00

Now, the percent of the remaining cash he has left can be written as,

Percentage of remaining cash = (Remaining cash/ Total cash) × 100%

                                                   = (P175.00 / P1,500.00) × 100%

                                                   = 0.011667 × 100%

                                                   = 11.667%

Hence,  the percent of the remaining cash he has left is 11.667%.

Learn more about Percentages here:

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A used car dealership buys a car for $2800 and then sells it for $4500. What is the percent insurance?

Answers

Answer:

61

Step-by-step explanation:

1700/2800 = around .61 so 61%

I need help please?

Answers

F(x) = -x for x = -3 to -1
F(x) = 2x+3 from -1 to 2
F(x)= 7 from x = 2 to 6

HELPPP DUE IN 10 MINUTES
I don't know how to do it

Answers

Hopefully this helps!


5. A w-foot wide path is to be built around a rectangular space that is 80
feet by 50 feet. Write and simplify an expression for the total area.

Answers

To find the area of the path, we'll need to find the area of the space with the path and subtract the area of the inner space.

Total area: (80 + w)(50 + w)

Inner area: 80 x 50

Area of the path: (80 + w)(50 + w) - (80 x 50)

(4000 + 80w + 50w + w^2) - (4000)

4000 + 130w + w^2 - 4000

w^2 + 130w

w(w + 130)

Expression for the total area: (80 + w)(50 + w)

Expression for the area of the path: w(w + 130)

Hope this helps!! :)

PLEASE HELP. Quadratic Functions - Pre-Calculus 11.

I REALLY don't understand, so please TRY and answer with step-by-step.

Thanks, y'all are amazing!

Answers

Ans: The new price from each donut results in most revenue.

Work in the picture:

is 28.42 > 28. 404 true

Answers

Answer:

28.42 > 28.404

it is true

simplify 140/200 pleaseeeeee

Answers

140/200 = 70/100 = 7/10

Answer:

7/10

Step-by-step explanation:

140/200

the zero at the back of 140 will cancel the zero at the back of 200

2 divide 14=7

and 2 divide 20 =10

so;

140/200

=7/10

What is the result when the number 24 is increased by 6%?

Answers

Answer:

24 increased by 6% = 25.44

Step-by-step explanation:

Introduction. Percent, p%

'Percent (%)' means 'out of one hundred':

p% = p 'out of one hundred',

p% is read p 'percent',

p% = p/100 = p ÷ 100.

6% = 6/100 = 6 ÷ 100 = 0.06.

100% = 100/100 = 100 ÷ 100 = 1.

ncrease the number by 6% of its value.

Percentage increase = 6% × 24

New value = 24 + Percentage increase

Calculate the New Value

New value =

24 + Percentage increase =

24 + (6% × 24) =

24 + 6% × 24 =

(1 + 6%) × 24 =

(100% + 6%) × 24 =

106% × 24 =

106 ÷ 100 × 24 =

106 × 24 ÷ 100 =

2,544 ÷ 100 =

25.44

Calculate absolute change (actual difference)

Absolute change (actual difference) =

New value - 24 =

25.44 - 24 =

1.44

Proof.

Calculate percentage increase...

... And see if we get as a result

the absolute change (actual difference).

Percentage increase =

6% × 24 =

6 ÷ 100 × 24 =

6 × 24 ÷ 100 =

144 ÷ 100 =

1.44

So we have proven that the calculations are correct.

For positive numbers

Absolute change (actual difference) =

Percentage increase

Answer:

24 increased by 6% = 25.44

Absolute change (actual difference):

25.44 - 24 = 1.44

Answer:

24,06

Step-by-step explanation:

[tex] \sf 24 + 6 \%[/tex]

[tex] \sf = 24 + \frac{6}{100} [/tex]

[tex] = \sf \frac{2400}{100} + \frac{6}{100} [/tex]

[tex] \sf = \frac{2406}{100} [/tex]

[tex] \sf 24, 06[/tex]

A fair coin is flipped ten times. What is the
probability of the coin landing heads up
exactly six times?

Answers

Answer:

It’s 105/512, or about 20.51%

Step-by-step explanation:

I don't know, I asked peeps

Is CP >SP, then loss = CP -SP is true or false:

Answer: False​

Answers

Answer:

[tex] \text{gigel \: are \: mere}[/tex]

Is CP >SP, then loss = CP -SP is true or false:

True

CP > SP

He got a loss

so, loss = CP - SP

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Nick jumps off a cliff. It takes him 2.2 s to hit the water below. What is the height of the cliff? g=9.8 m/s2

Answers

Answer:

9.8 x 2.2 =  21.56 m

distance = time x speed

speed = distance ÷ time

Step-by-step explanation:

The highest point he reached occurred at the vertex, which is at t = -b/2a = 2.2 second. Plugging in t = 2.2

9.8 x 2.2 =  21.56ft

Higher cliffs don't accelerate your fall -- acceleration is constant during free fall. The pull of gravity decreases infinitesimally at higher elevations, but it pulls you with an equal force from the first second of your jump until you decelerate when you hit the water.

Can someone pls help me

Answers

Step-by-step explanation:

what is the problem here, what do you not understand ?

you do know fractions, and how to multiply and divide them ? because that would be a precondition for a teacher to give you such a problem to solve.

so, if you do know the handling of fractions, this is very basic and easy thing to solve.

let's get into it then :

2 similar triangles. that means all lengths of all lines in one triangle are the result of multiplying the corresponding lines in the other triangle by a constant factor.

that is the meaning of a scaling factor.

it is like on a map, where it says 1 unit on the map is that many units out there in reality.

your teacher was really nice to point out the right angles and even a second angle (37 degrees), so that we can immediately see, which side or line of one triangle corresponds to which side or line of the other.

when we imagine now to turn e.g. the smaller triangle so that it is oriented the same way as the larger one, we see that QS corresponds to LJ. and QR to LK. and RS to KJ.

so, we are going in the scaling process from left to right. that means we are starting with the larger triangle and turn it into the smaller triangle.

so, what (scaling) factor do I need to multiply with 15 to get 10 ?

it is the same factor to go also from 9 to 6 and from 12 to 8.

15×x = 10

x = 10/15 = 2/3

15 × 2/3 = 30/3 = 10

12 × 2/3 = 24/3 = 8

9 × 2/3 = 18/3 = 6

so, as you can see, 2/3 is the correct scaling factor.


Given the vertex ( 4, 6 )and the point(1, -3), write the vertex form equation of the quadratic
function.

Answers

Answer:

[tex]\displaystyle f(x) = -(x-4)^2 + 6[/tex]

Step-by-step explanation:

A given quadratic has its vertex at (4, 6) and the point (1, -3). We want to write the equation in vertex form of the quadratic.

Recall that vertex form is given by:

[tex]\displaystyle f(x) = a(x-h) ^2 + k[/tex]

Where (h, k) is the vertex and a is the leading coefficient.

Since our vertex is at (4, 6), h = 4 and k = 6:

[tex]\displaystyle f(x) = a(x - 4)^2 + 6[/tex]

To determine the leading coefficient, since we are given that (1, -3) is a point on the parabola, when x = 1, y = -3. Substitute and solve for a:

[tex]\displaystyle \begin{aligned} (-3) & = a((1)-4)^2 + 6 \\ \\ -3 & = a(-3)^2 + 6 \\ \\ 9a & = -9 \\ \\ a & = -1 \end{aligned}[/tex]

Hence, the leading coefficient a is -1.

Then our equation in vertex form is:

[tex]\displaystyle f(x) = -(x-4)^2 + 6[/tex]

4.The average temperature in the desert ecosystem can be 38°C in one 24-hour
period. Solve for F. Then, find the equivalent temperature in degrees Fahrenheit, F.

Answers

Answer:

someone please ananswer  i need help

Step-by-step explanation:

the graph of y=−3x+2

Answers

Answer:

The slope is -3 and the y-intercept is (0,2)  so the graph is at (0,2) and (1,-1).

solve for y 1/3x+2y=8

Answers

1. Simplify [tex]\frac{1}{3} x[/tex] to [tex]\frac{x}{3}[/tex]

[tex]\frac{x}{3} +2y=8[/tex]

2. Subtract [tex]\frac{x}{3}[/tex] from both sides

[tex]2y=8-\frac{x}{3}[/tex]

3. Divide both sides by 2

[tex]y=\frac{8-\frac{x}{3} }{2}[/tex]

4. Simplify [tex]\frac{8-\frac{x}{3} }{2}[/tex] to [tex]\frac{8}{2}[/tex] - x/3/2

y=8/2-x/3/2

5. Simplify 8/2 to 4

y=4-x/3/2

6. Simplify x/3/2 to x/3x2

y=4-x/3x2

7. Simplify 3x2 to 6

-y=4-x/6

Use point-slope form to write the equation of the line in slope-intercept form.
slope = -1 and passes through the point (-4, 10)


fill in the point-slope equation.


y - __= (x - __ )


Now write the equation in slope-intercept form. (y = mx + b)


Sope intercept Equation:

Answers

Answer:

y - 10 = -1 (x+4)

y = - x + 6

Step-by-step explanation:

y - 10 = - 1 (x - - 4)

y - 10 = -x - 4

y = -x - 4 + 10

dtr bro be
In science class, Antonio and Anna were measuring the approximate speed of a marble as it
exits from an 8-foot-long ramp. They discovered that it took 2.1 seconds for the marble to
travel 12.5 feet from the end of the ramp.
If r =
d, where d is distance in feet and t is time in seconds, approximately how fast was the
marble traveling as it exited from the ramp to the nearest hundredth of a second?
t

Answers

The marble was traveling at 4.05 miles per hour.

Since in science class, Antonio and Anna were measuring the approximate speed of a marble as it exits from an 8-foot-long ramp, and they discovered that it took 2.1 seconds for the marble to travel 12.5 feet from the end of the ramp, to determine approximately how fast was the marble traveling as it exited from the ramp to the nearest hundredth of a second, the following calculation must be performed:

12.5 / 2.1 = X 5.95 = X = feet per second 1 foot per second = 0.681818 miles per hour 5.95 x 0.681818 = X 4.05 = X

Therefore, the marble was traveling at 4.05 miles per hour.

Learn more in https://brainly.com/question/23774048

Can someone show me the work for these problems?

Answers

5.5 - 8.1 = -2.6
This is because 8.1 is larger than 5.5
So when you are taking away a larger number from a smaller number it’s going to be negative.

If the problem was 8.1 - 5.5 it would equal 2.6 but since the larger number is second it’s negative

Hope this helps!:)

Answer:

I'm sure these images should help you. They do a better job at explaining than I do.

Step-by-step explanation:

Look above to see each picture.⤴⤴⤴

They're in order from left to right.

I really hope this helps :)

Also, if it's wrong please let me know.

Is the following graph proportional or non-proportional?

Proportional
Non-Proportional
Not enough information

Answers

Answer:

non-proportional

Step-by-step explanation:

The line doesn't go through the origin and it's not a straight line therefore the graph is not proportional. Hope this helps :)

Answer:

Not proportional

Step-by-step explanation:

The graph is not proportional because the line doesn't go through the origin. If the line start from the origin and went up it would be a proportional graph.  

1A ribbon is 3 2/3 yards long. Mae needs to cut the ribbon into pieces that are 2/3 yard long. Use the model to find the number of pieces that are 2/3 yard long that she can cut. Use the model to find the number of such pieces she can cut. How much ribbon will be left after she cuts these pieces?

Answers

Answer:

swag

Step-by-step explanation:

swag

Using the exchange rate £1 = $1.34, calculate how many £ are in $7.25. Give your answer rounded to 2 dp.

Answers

Answer:

£5.41

Step-by-step explanation:

7.25/1.34 = 5.41044...

Round = 5.41

Pineapple galaxy is right!

Use distributive property:
7(x-12)-(6x-15)

Answers

Answer:

−69

Step-by-step explanation:

Hopes this helps and brainlest please!

The length of a rectangle is 3 less inches than twice the width. Write an expression for the width and length. Using the two expressions for the the length and width, write and simplify an expression for the area.

Answers

Answer:

2l-3=w with l=length and w=width, please note i am not actually in college but 7th grade

Step-by-step explanation:

HELP ME PLEASE!!!
Solve the system of equations by using substitution. Show all work for full credit. List your answer as an ordered pair. (4 points)
5x + 10y = 20
= 3y - 1

Answers

Answer:

[tex]x=2 , y=1[/tex]

Step-by-step explanation:

Since the second equation is fully simplified and we know what x equals, we plug the entire equation of x in for x in the top equation:

[tex]5(3y-1)+10y=20[/tex]

Now solve for y.

[tex]y=1[/tex]

Now plug y back into the bottom equation and solve for x.

[tex]x=3(1)-1[/tex]

[tex]x=2[/tex]

Please need help with the second question and if not hard also the third ^)
WILL GIVE BRAINLEST

Answers

[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]

Here's the solution :

1. The given figure is of a Rectangle, and we know that diagnonals of a Rectangle bisects each other.

so, PR = 2 × PT

that is :

PR = 2 × 10 = 20 units

and both the diagnonals of a Rectangle are equal,

PR = QS = 20 units

2. let's take the length of PQ = x and QR = y

Angle RPS = Angle PRQ = 60°

(because they form pair of Alternate Interior angles, which are equal)

By using trigonometry :

[tex] \sin(60) = \dfrac{x}{20} [/tex]

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{x}{20} [/tex]

[tex]x = \dfrac{20 \times \sqrt{3} }{ {2} } [/tex]

[tex]x = 10 \sqrt{3} \: \: units[/tex]

similarly,

[tex] \cos(60) = \dfrac{y}{20} [/tex]

[tex] \dfrac{1}{2} = \dfrac{y}{20} [/tex]

[tex]y = \dfrac{20}{2} [/tex]

[tex]y = 10 \: \: units[/tex]

And now, we know that area of triangle PQR is equal to :

[tex] \dfrac{1}{2} \times base \times height[/tex]

[tex] \dfrac{1}{2} \times x \times y[/tex]

[tex] \dfrac{1}{2} \times 10 \sqrt{3} \times 10[/tex]

[tex]50 \sqrt{3} \: \: unit {}^{2}[/tex]

3. Area of Rectangle PQRS :

[tex]length \times width[/tex]

[tex]x \times y[/tex]

[tex]10 \times 10 \sqrt{ 3} [/tex]

[tex]100 \sqrt{3} \: \: unit {}^{2} [/tex]


Carmen's chocolate bar is 34% cocoa. If the weight of the chocolate bar is 91 grams, how many grams of cocoa does it contain? Round your answer to the
nearest tenth.

Answers

Answer:

it's562because it's forget more times or divide

If AABC = APQR, then
B = 4[?]

Answers

Angle B will equal Angle Q

Answer:

Q that is your answer

Step-by-step explanation: