What is the horizontal asymptote of j (x) = startfraction 14 x cubed 45 over 2 x cubed x 9 endfraction y = 1 y = 5 y = 7 y = 12

Answers

Answer 1

The horizontal asymptotes the the point where the horizontal line cutes the y-axis. The horizontal asymptotes of the function is y =7

Horizontal asymptotes of a function

The horizontal asymptotes the the point where the horizontal line cutes the y-axis,

Given the function

j(x) = 14x³+45/2x³+9

Since the powers of both numerator and denominator is the same, we will take the ratio of their coefficient as shown

y = 14/2

y = 7

Hence the horizontal asymptotes of the function is y =7

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Related Questions

samantha got home after school and found a package sitting on the front porch she carried 20N package upstairs her stair are 10m tall how much work did she do (need to show solution)

Answers

Answer:

Zero

Step-by-step explanation:

Work done in the vertical direction is 0 because no displacement can be taken. Hence, the correct answer to this problem is zero

The number of people who visited a state park over the last nine years is recorded in the table.
Drop Down answers
The visitor data is best modeled by a function.
Linear, Quadratic, Square Root
Based on the model, the state park management should plan for than 400 visitors next year.
Less, More

Answers

The visitor data is best modeled by a quadratic function, and the state park management should plan for more than 400 visitors next year.

How to determine the model of the function?

To do this, we simply plot the points on a graph.

See attachment for the graph that represents the table.

From the attached graph, we can see that the points on the graph follows an approximately quadratic path

Hence, the visitor data is best modeled by a quadratic function

Also, the state park management should plan for more than 400 visitors next year.

This is so because the range of a quadratic function is the set of all real numbers.

This means that the table can accept a value of 400 (or greater) as one of its data points

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Which statements can be used to compare the characteristics of the functions? select two options. f(x) has an all negative domain. g(x) has the greatest maximum value. all three functions share the same range. h(x) has a range of all negative numbers. all three functions share the same domain.

Answers

The statements that can be used to compare the characteristics of the functions are:

g(x) has the maximum greatest value.h(x) has a range of all negative numbers.

How to interpret the functions?

From the table of values (see attachment), we have the following highlights:

f(x) has a range of all positive numbers.h(x) has a range of all negative numbers.g(x) has the maximum greatest value.

The above highlights mean that, the true statements are b and d

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Answer:Its B,D

Step-by-step explanation: Yes

Mr. Emmer gave a test in his Chemistry class. The scores were normally distributed with a mean of 82 and a standard deviation of 4. A student is randomly chosen. What is the probability that the student scores a 70 or below? Use the formula for a z-score z = x - mu/infinity where x is the given value, mu is the mean and infinity is the standard deviation. Then refer to the chart on page 11 of the lesson to find the probability. a. .0668.b. .0179.c. .0013.d. .5000.

Answers

The probability that the student scores a 70 or below is 0.0013

How to determine the probability?

The given parameters are:

Mean, μ = 82Standard deviation, σ = 4

The probability that a student scores 70 or below is represented as:

P(x ≤ 70)

Calculate the z score for x = 70 using:

[tex]z =\frac{x - \mu}{\sigma}[/tex]

This gives

[tex]z =\frac{70 - 82}{4}[/tex]

Evaluate

z =-3

The probability becomes

P(x ≤ 70) = P(z ≤ -3)

Using the z tables of probabilities, we have:

P(x ≤ 70) = 0.0013499

Approximate

P(x ≤ 70) = 0.0013

Hence, the probability that the student scores a 70 or below is 0.0013

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the quotient of a and b

Answers

Answer: take the first digit of a and divide it by b

Step-by-step explanation: and that should give you your answer and if not please feel free to mesage me.

3. Cups are sold in packages of 8. Napkins are sold in packages of 12.
a. What is the fewest number of packages of cups and the fewest numb
packages of napkins that can be purchased so there will be the same
cups as napkins?
b. How many sets of cups and napkins will there be?

Answers

Answer:

A. The fewest number of packages of cups and napkins that can be purchased so that they will be the same is 3 packages of cups and 2 packages of napkins.

B. I'm not sure what this part is asking, I hope someone else comes in and helps.

Step-by-step explanation:

Part A Explanation:

3 packages of cups gives you 24 cups total

2 packages of napkins gives you 24 napkins total

WILL GIVE BRAINLIEST PLEASE HELP ASAP
Please answer this in word form and do it fast because I’m running out of time. Will give brainliest

Answers

Step-by-step explanation:

because the distance from O to the other 3 points is the same. each bisector provides a line of points with equal distance to the 2 end points of its base line.

where these 2 bisectors intersect, is the point that has the same distance to all end points.

find an ordered pair for 4 solution for -5x+y=6

Answers

⇒ Choose three values for [tex]x[/tex] and substitute in to find the corresponding [tex]y[/tex] values.

[tex](0,6),(1,11),(2,16)[/tex]

The richter scale measures the magnitude, m, of an earthquake as a function of its intensity, i, and the intensity of a reference earthquake, . which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake? a. b. c. d.

Answers

The magnitude of an earthquake with an intensity 10,000 times is [㏒10000]

What is magnitude?

magnitude can be regarded as the size or the weight of destruction that is been experienced as a result of the earthquake.

The magnitude as regards Richter scale is

[㏒(I/I₀]

But we were given l as 10000I₀.

Then if we substitute we have, [㏒(10000I₀./I₀)]

If we simplify we have:

[㏒10000]

Therefore, magnitude of an earthquake with an intensity 10,000 times is [㏒10000]

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(rounding) 17.23. whats the nearest tenth?

Answers

Answer:

17.2

Step-by-step explanation:

23 ⇒ Below 5, round down

20  ⇒ Add to decimal

17. 23 ⇒ 17.2 / 17.20

b) The mean of 7, 5, 0, 1, 3, 4 and h is 10. Find the value of h.

Answers

Step-by-step explanation:

mean =10

sum of no =7+5+0+1+3+4+h=20+h

N=7

now

mean=sum of no/N

10=20+h/7

10×7=20+h

70-20=h

h=50

the perimeter of a rhombus whose sides are 12 units in length is:
48
144
192

Answers

Answer:

48

Step-by-step explanation:

12*4=48

PLS HELP!!!!!!!! GEOMETRIC SEQUENCE!!!!!

Answers

Answer:

-256

Step-by-step explanation:

The numbers are being multiplied by 2.

( -4 * 2 = -8)

(-8* 2 = -16)

PLEASE HELP!!!!!!!!!!!!!

Answers

no lo sé, pero como necesito puntos, ¿sí?

Corresponding Angles are congruent. Which angle corresponds with ​

Answers

Answer:

Angle<8 corresponds with angle<3

Step-by-step explanation:

Corresponding angles are congruent and are on the same side of the transversal. They occupy corresponding positions. So,

Angle 1 and Angle 6 are corresponding angles

Angle 3 and Angle 8 are corresponding angles

Angle 2 and Angle 5 are corresponding angles

Angle 4 and Angle 7 are corresponding angles

The dot plot below represents how long it takes students in an 8th grade math
class to get to school every morning.
COMMUTE TIME
......
...
:
...
G...
-
10
20
25
30
35
40
45
Minutes
What was the shortest commute time?
minutes
ann

Answers

Answer:

5 minutes

Step-by-step explanation:

Write an 27, 31, 35, .... explicit formula for an, the n th term of the sequence​

Answers

Answer :

See below ~

Explanation :

Common difference (d) between terms is :31 - 27 = 4

Then the recursive formula is :

aₙ = aₙ₋₁ + 4

HELP ME OUT NO SCAM OR ELSE!!!! I ONLY GOT 1 MIN!!!! 50 BRAINLY PTS

Answers

Answer:

The two middle ones  

Step-by-step explanation:

PLSS ANSWER!!!
In the circle, O is the center. The radius of the circle is 6 feet. Find the area of the shaded
sectors. Round to the nearest hundredth

Answers

12.57

Step-by-step explanation:

Area = πr²

40/360 × 22/7 × 36

1/9 × 22/7 × 36

(22 × 4)/7 = 12.57

PLEASE HELP! URGENT! ASAP! WILL GIVE BRAINLEST!

Answers

Answer:

[tex]\frac{\pi }{4}[/tex]

Step-by-step explanation:

Solving :

(2 cos(θ))² = 2

4 cos²θ = 2

cos²θ = 1/√2

cosθ = [tex]\frac{\pi }{4}[/tex]

(2cos(θ))^2=2
4cos^2θ=2
cos^2θ=1/2
cosθ= ±√(1/2)
θ= π/4 and 3π/4
So the smallest answer is π/4

Angle relationships with parallel lines

Answers

Answer:

x = 132

Step-by-step explanation:

x = 180 - 48

x = 132

x+48=180 (Angle On A Straight Line)
x=180-48
x=132

11. Graph the following equation and if​ possible, determine the slope.
y= -3
Please help I will mark you as brainiest

Answers

Answer:

A. m = 0

Step-by-step explanation:

The slope is 0 as the change in y-value is 0, and change in x-value is infinite.

Graph

At the end of the winter, coats are on sale for 75% off. If a heavy coat was priced
at $120 after taking the discount, then how much will the coat ring up for at the register
if the tax is 6%?

Answers

Answer:

the answer is $31.80

Step-by-step explanation:

6% of $120.00 is $7.20,

75% off of 127.20= $31.80

Which ratio table below does not represent a proportional relationship between the number of laptop and desktop computers being sold at an electronics store?

Answers

Answer:

table 1

Step-by-step explanation:

a table represents a proportional relationship between the number of laptop and desktop computers ,if the ratio of the number of desktop computers to laptops is a constant (doesn’t vary)

Table1 : (does not represent a proportional relationship) because :

11÷10=1,1

46÷42=1.09...

and 1.1 ≠ 1.09

Table2 : (represents a proportional relationship) because :

3÷6=0.5

9÷18=0.5

18÷36=0.5

72÷144=0.5

Table3 : (represents a proportional relationship) because :

18÷12=1.5

36÷24=1.5

54÷36=1.5

108÷72=1.5

Table4 : (represents a proportional relationship) because :

2÷3=0.666666666667

18÷27=0.666666666667

22÷33=0.666666666667

200÷300=0.666666666667

describe the end behavior of f(x)=2x^3

Answers

Answer:

as x→+∞, f(x)→+∞   as x→-∞,f(x)→-∞

Step-by-step explanation:

PLLLLEASE help- geometry

Answers

Answer: Reflection, translation

Step-by-step explanation:

A cable extends from the top of a radio tower to a point 360 feet from the base of the tower. If the
cable is 850 feet long, how tall is the tower?

Answers

Step-by-step explanation:

we have a right-angled triangle :

the Hypotenuse (baseline opposite of the 90° angle) is the 850 ft cable from the top of the tower down to the point on the ground 360 ft away from the tower.

then the ground distance (360 ft) and the height of the tower are the 2 legs.

so, we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse.

in our case

850² = 360² + height²

height² = 850² - 360² = 592,900

height = 770 ft

the tower is 770 ft tall.

Answer:

770 feet

Step-by-step explanation:

Given

Cable = 850 feet longExtends from radio tower to a point 360 feet from the base of a tower

Solving

Using the Pythagorean Theorem, we can find the height(distance from base)² + (height)² = (length of cable)²height² = (850)² - (360)²height² = 722,500 - 129,600height² = 592,900height = √592,900height = 770 feet

9. Find the midpoint of the segment having endpoints (4.1,−6.6) and (6.6,−4.1).

Answers

Answer: [tex]\displaystyle (5.35, -5.35)[/tex]

Step-by-step explanation:

   We will use the midpoint formula. See attached or view below.

What does this formula do? We are, essentially, finding the average for the x-values and y-values.

[tex]\displaystyle (\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex]

[tex]\displaystyle (\frac{4.1+6.6}{2}, \frac{-6.6+-4.1}{2} )[/tex]

[tex]\displaystyle (\frac{10.7}{2}, \frac{-10.7}{2} )[/tex]

[tex]\displaystyle (5.35, -5.35)[/tex]

There are 26 counters in a bag. 5 of the counters are pink. 10 of the counters are blue. the rest of the counters are white. jan puts some more pink counters into the bag. she then takes some blue counters out of the bag. after she has done this there are still 26 counters in the bag. jan then takes at random a counter from the bag. the probability that she takes a pink counter is 1/2 what is the probability that she takes a blue counter?

Answers

The probability of picking a blue counter from the bag is 1 / 13.

What is the probability?

The number of counters initially in the bag:

white counters = 26 - 10 - 5 = 11 pink counters = 5 blue counters = 10

The number of counters now in the bag:

white counters = 11pink counters = (5 + x) / 26 = 1/2

13/26

x = 13 - 5 = 8

blue counters = 26 - 13 - 11 = 2

Probability of picking a blue counter = number of blue counters / total number of counters

2/26 = 1 / 13

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How many minutes per week do the students in our class play video games please help

Answers

Answer:

Mean: 599, Median 60

Step-by-step explanation:

0,0,0,14,16,30,60,260,300,420,1500,2592,2595

add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.

Mean: 599

Sort them from smallest to greatest and the number directly in the middle is the median.

Median: 60

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