someone please help me ASAP. I’ll mark brainliest. thank you <3

For each function identify the degree of the numerator and the denominator.

1. f(x)=(x+5)(x-2)(x-7)/(x+9)(x-6)

2. h(x)=(6x+7)(x-4)/(3x+9) (x) (x^2)

3. g(x)=(5x+8)(x-4)/(3x+9) (x)

Which function in problems 1-3 has a horizontal asymptote at y=0?

Answers

Answer 1

9514 1404 393

Answer:

numerator: 3; denominator: 2; slant aymptotenumerator: 2, denominator 4; y = 0 asymptotenumerator 2, denominator: 2; y = 5/3 asymptote

Step-by-step explanation:

We have to assume you intend everything to the right of the slash (/) to be denominator. Ordinarily, only the first factor would be considered denominator according to the Order of Operations.

ab/cd = (ab/c)d . . . according to the order of operations.

__

The degree of the numerator or denominator is essentially the number of factors involving x.

1. The numerator has 3 factors, hence degree 3. The denominator has 2 factors, hence degree 2. The degree of the numerator is 1 more than the degree of the denominator, so the function will have a slant asymptote.

  degrees: num/den = 3/2

__

2. The numerator has 2 factors, hence degree 2. The denominator has one binomial factor and 3 factors of x, hence degree 4. The degree of the denominator is higher than the degree of the numerator, so the function will have y = 0 as its horizontal asymptote.

  degrees: num/den = 2/4 --- y = 0 horizontal asymptote

__

3. The numerator has 2 factors, as does the denominator. Hence the degree of each is 2. The horizontal asymptote will be a constant equal to the ratio of the leading coefficients: y = 5/3.

  degrees: num/den = 2/2


Related Questions

How many ways can 9 persons in 9 seats be arranged in the form of a circle?​

Answers

Answer:

Step-by-step explanation:

8! = 40,320

what is the largest 6 digit whole number number less than three-quarters of one million that you can make with the digits 4, 7, and 5 using each digit twice

Answers

Answer:

747554

Step-by-step explanation:

The second number must be less than 5. All of the others are arranged by value.

Find the distance between the points

(−5,2) and (9.2)

Answers

Step-by-step explanation:

Formula Used

By distance formula,

d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²]

[tex] \sf \longmapsto \: D = √(x2-x1)²+(y2-y1)²[/tex]

[tex] \sf \longmapsto= √(9+5)²+(2-2)²[/tex]

[tex] \sf \longmapsto= = √14²+09[/tex]

[tex] \sf \red \longmapsto \boxed{= 14}[/tex]

Mrs.Diamond needs 35 pounds of chicken for a recipe.How much will the cost

Answers

Not enough information to answer questions

34 dollars worth of chicken

8.
Which of the following is the graph of the equation y = 3x2 − 4x − 2?

Answers

It is this one. The one that looks like it passes through (2,0) and (0,-2)

Answer:

Graph C

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  ( 2 /3 ,  − 10 /3 )

Focus:  ( 2 /3 ,  − 13 /4 )

Axis of Symmetry:  x = 2 /3

Directrix:  y = − 41 /12

x                        y

− 1                      5

0                      − 2

2                       3

− 10                    3

2                       2

3                       13

Find the percent decrease. Round to the nearest percent.


From 146 pounds to 139 pounds


The percent decrease is
%.

Answers

146-139 =7
7/146 = 0.047
4.7% i think

the sum of two numbers is 200 and the two numbers are in a ratio of 4:6, what is the larger number.

Answers

Step-by-step explanation:

x + y = 200

x : y = 4 : 6

x + y = 200

y = 200 - x

x : y = 4 : 6

x : (200 - x) = 4 : 6

6.x = 4(200 - x)

6x = 800 - 4x

10x = 800

x = 800/10

x = 80

y = 200 - x

y = 200 - 80

y = 120

(x,y) = (80,120)

Which of the following point-slope form equations could be produced with the points (4, -5) and (-4, -3)?

Answers

Answer:

[tex]y + 5 =- \frac{1}{4} (x-4)[/tex]

Step-by-step explanation:

You will find the slope-intercept form first, and then you can find the point slope form of the equation

Find the component of u along v.

u= (-4,6), and v=[tex](1\sqrt{2}, 1\sqrt{2} )[/tex]

Answers

u. The distance we travel in the direction of v, while traversing u is called the component of u with respect to v and is denoted compvu. The vector parallel to v, with magnitude compvu, in the direction of v is called the projection of u onto v and is denoted projvu.

Answer:

[tex]comp_vu=\sqrt{2}[/tex]

Step-by-step explanation:

The component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}[/tex] where [tex]u\bullet v[/tex] is the dot product and [tex]||v||[/tex] is the magnitude of vector v.

The dot product is [tex]u\bullet v=u_1v_1+u_2v_2=(-4)(1\sqrt{2})+(6)(1\sqrt{2})=2\sqrt{2}[/tex]

The magnitude of vector v is [tex]||v||=\sqrt{v_1^2+v_2^2}=\sqrt{(1\sqrt{2})^2+(1\sqrt{2})^2}=\sqrt{2+2}=\sqrt{4}=2[/tex]

Therefore, the component of vector u along v is [tex]comp_vu=\frac{u\bullet v}{||v||}=\frac{2\sqrt{2}}{2}=\sqrt{2}[/tex]

Gia đình bác Lan hai năm liền thu hoạch được 560 tạ thóc. Năm thứ hai bác Lan thu hoạch hơn năm thứ nhất 60 tạ thóc. Hỏi mỗi năm bác Lan thu hoạch bao nhiêu kg thóc?

Answers

Answer:

năm thứ nhất: 250 tạ = 17000 kg

năm thứ hai: 310 tạ = 21080kg

Step-by-step explanation:

Determine the sum of the first four terms of the geometric sequence where a = 2 and r= -1
...
The sum is

Answers

Answer: a = 2 and r=-1.

Step-by-step explanation:

need help with this….

Answers

Answer:

omg im still dont no

Step-by-step explanation:

sorry

if you invest $10,000 at 10% interest account compounded monthly, how much money you will have in 20 years?

Answers

Answer:

$73280.74

Step-by-step explanation:

We will use the compound interest formula to find the answer

A = P (1 + r/n)^(nt)

Where A is the total amount of money, P is the principal investment amount (how much you put in initially), R is the interest rate, N is the number of times interest is applied per period and T is the number of time periods elapsed.

$10,000 would be the principal investment amount

10% would be the interest rate

12 would be the number of times interest is applied per period (since it is paid monthly)

and 20 would be the number of time periods (as it's the number of years)

A = 10000(1+0.1/12)^(12*20)

A = 10000(7.3280736)

A = 73280.74

who can answer my questions​

Answers

Where the question?

btw screenshot it if you want me trust you :)

measure all of the angles

Answers

Step-by-step explanation:

∠6 = 10x

∠7 = 5x

∠6 = ∠8

∠7 = ∠5

Find value of x

∠5 + ∠6 + ∠7 + ∠8 = 360

5x + 10x + 5x + 10x = 360

30x = 360

x = 360/30

x = 12°

What all are the factors off 453,738

Answers

Answer:

1, 2, 3, 6, 47, 94, 141, 282, 1609, 3218, 4827, 9654, 75623, 151246, 226869, 453738

Step-by-step explanation:

I looked it up

14.95/65 what is the quotient

Answers

Answer:

0

Step-by-step explanation:

Hope this helps!

(Brainliest is appreciated)

Complete this equation so that it has infinitely many solutions.

2(X-1/4)=6(1/3x-_____)

Answers

Answer:

  1/12 goes in the blank

Step-by-step explanation:

For there to be infinitely many solutions, the left and right sides must be identical when simplified.

  x -1/4 = 3(1/3x - __) . . . . divide by 2

  x -1/4 = x -3(__) . . . . . . . eliminate parentheses

  -1/4 = -3(__) . . . . . . . . . subtract x

  1 = 12(__) . . . . . . . . . . . multiply by -4

  1/12 = __ . . . . . . . . . . divide by 12

The equation with infinitely many solutions is ...

  2(x -1/4) = 6(1/3x - 1/12 )

y=1/2 (6x+2)-2 please show work and put in y=mx+b

Answers

Answer:

y 3x - 1

Step-by-step explanation:

y = 1/2(6x + 2) - 2      change 1/2 to .5

y = .5(6x + 2) - 2    

y = .5(6x) + .5(2) - 2           Distributive property

y = 3x + 1 - 2                        Multiplication

y = 3x - 1                              Simply

30 points!

Evaluate the following expression if B = 114

1/2B + 58 x 2

Answers

Step-by-step explanation:

1/2(114)+(58*2)

1/228+(116)

1/228+116/1=

26676/228=117

Write 0.3% percent as a decimal, please explain how you get it in order to get marked

Answers

Answer:

The answer is 0.003

Step-by-step explanation:

In order to convert a percentage into a decimal you have to move the decimal two places to the left; just like how you turn a decimal into a percentage by moving the decimal two places to the right.

the answer is 00.003
one way to think of it is that the number times 100 gets you the percentage. so just do it the opposite way!


Write each fraction as a percent 2/16

Answers

Answer:

100÷16=6.25 then 6.25×16=100 then 6.25×2=12.5

Step-by-step explanation:

answer is 12.5 precent

the answer would be 12.5%
You welcome

what is one forth divided by eight

Answers

Answer:

1/4 ÷ 8 = 1/4 x 1/8 = 1/32

Step-by-step explanation:

Answer:

0.03125

Step-by-step explanation:

have a great day!

a cylinder has a base diameter of 16 cm and a height of 19 cmwhat is its volume in cubic centimeters?​

Answers

Answer:

3820.18cm³ i know it is right

Step-by-step explanation:

brainlest for me please

write the number that is one hundredth more than 321.555

Answers

Answer:

321.565

Step-by-step explanation:

hundredths is the second digit behind the decimal point so that means 5+1 is 6 Hope this helps

321,600

I hope I helped in some way.

A pharmacist mixes 3 grams of compound with 5,000 milligrams of solution to create a prescription. How many total grams is the prescription?

Answers

Answer: 8 grams

Step-by-step explanation: We first need to know the proper conversions. In this case, 1g is equal to 1000mg. So, divide 5000 by 1000 to get 5. Then, we add 3 grams since it was the starting amount.

HURRY PLZ what is the product of 25 and 46?
OST- 0
6T- 0
OST 0

Answers

Answer:

1150

Step-by-step explanation:

The weekly demand for a product has a normal distribution with a mean of 1,000 and a standard deviation of 200. The current on-hand inventory is 750 and no deliveries will be occurring in the next week

Answers

Using the normal distribution, it is found that there is a 0.8943 = 89.43% probability of a demand above 750.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.

In this problem:

The mean is of 1000, hence [tex]\mu = 1000[/tex].The standard deviation is of 200, hence [tex]\sigma = 200[/tex]

The probability of a demand above 750 is one subtracted by the p-value of Z when X = 750, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{750 - 1000}{200}[/tex]

[tex]Z = -1.25[/tex]

[tex]Z = -1.25[/tex] has a p-value of 0.1057.

1 - 0.1057 = 0.8943

0.8943 = 89.43% probability of a demand above 750.

A similar problem is given at https://brainly.com/question/24663213

a rectangular prism has a width of 8cm, a height of 8cm and a depth of 10cm. what’s the volume of the prism?

Answers

Answer:

640 cm^3

Step-by-step explanation:

Volume of a rectangular prism is determined by:

depth * width * height

Here our depth, width, and height are:

10, 8, and 8

So our equation is:

10 * 8 * 8 = 640 cm^3

Use the formula for continuous compounding with the data from the original example: $10,000 invested at 3% for 1 year. Record the amount to 5 decimal places. Use a calculator.

Answers

Answer:

  $10,304.54534

Step-by-step explanation:

The compound interest formula is ...

  A = Pe^(rt)

Substituting the given values, we get ...

  A = $10,000·e^(0.03·1) ≈ $10,304.54534

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