The rational function f is defined as, where h and g are polynomials.
The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?


I. If m > n the absolute value of the function approaches positive infinity as x gets very large.


II. If m < n the value of the function approaches zero as x gets very large.


III. If m = n the value of the function approaches a constant as x gets very large.

Answers

Answer 1

Answer:

g

Step-by-step explanation:

x goes to f m to 5 :-)


Related Questions

What is the present value of ₱30,000 due in 27 months at 3% compounded annually?

Answers

Answer:

32,063.06

Step-by-step explanation:

the formula for compound interest: [tex]A = P(1+\frac{r}{n})^{nt\\}[/tex]

so to use this you are essentially solving for a.

p is the principle (or initial) amount deposited.

r is the rate (in percent)

n is the number of time periods compounded (like annually, monthly, weekly, or daily)

t is the time period (in years)

In this instance the formula looks like: [tex]A = 30,000(1+\frac{0.03}{1})^{1*2.25}[/tex]

You then solve for A using the formula. It is important to remember to use the order of operations

Tamara draws a tile from a bag and records the results. The bag contains tiles labeled with the letters, W, A, T, E, R, M, E, L, O, and N. Based on this information, which statement is true?

Answers

what are the statements?

Answer:

These are the statements. I need help to

Step-by-step explanation:

She is 1.5 times less likely to draw a vowel than a consonant.

She is 1.5 times more likely to draw a vowel than a consonant.

She is twice as likely to draw a consonant as a vowel.

Drawing a vowel and a consonant are equal likely.

what are the coordinates of the point X'if the image is rotated 90° counter clockwise​

Answers

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative

Solve for a .

5.4 = a - (-1.8)


a =

Answers

5.4=a+1.8
5.4-1.8=a
a=3.6

Answer:

3.6 = a

Step-by-step explanation:

5.4 = a - ( -1.8)

Distribute minus sign.

5.4 = a + 1.8

Move constant to the left hand side and change their sign.

5.4 - 1.8 = a

3.6 = a

Use the Distributive Property to expand the expression -3(6.3x + 1.5y)

Answers

Answer:

(-3*6.3x)+(-3*1.5y)

(-18.9x)+(-4.5y)

gyiftuerdtgyuhijovhfghdfgchbnm,

Answers

i’m pretty sure the answer is A:

A. 5/16

because 1/4 of 1 1/4 is 0.3125 which is 5/16 as a fraction.

0.3125 = 5/16

Please help fast, thanks.

Answers

Answer:

b

Step-by-step explanation:

d. she picked up at least 20, so it would be greater than or equal too.

What is 39/20 written as decimal ?

Answers

Answer:

1.95

Step-by-step explanation:

39/20 * 5/5 = 195/100
Move decimal over 2 places
Solution: 1.95

Help help help help help help pls

Answers

Answer:

a.) 36

b.) 18

c.) 27

Step-by-step explanation:

In a right-angled triangle
, one acute angle is 30°. Find the other acute angle
VII CLASS MATHEMATICS​

Answers

Answer:

60°

Step-by-step explanation:

sum of all angles is 180

and it's a right-angled triangle so there is angle = 90

so  the other acute angle = 180-30-90=60°

Answer:

60

Step-by-step explanation:

90+30= 120

180-120= 60

please help asap please​

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

A national consumer agency selected independent random samples of 45 owners of newer cars (less than five years old) and 40 owners of older cars (more than five years old) to estimate the difference in mean dollar cost of yearly routine maintenance, such as oil changes, tire rotations, filters, and wiper blades. The agency found the mean dollar cost per year for newer cars was $195 with a standard deviation of $46. For older cars, the mean was $286 with a standard deviation of $58. Which of the following represents the 95 percent confidence interval to estimate the difference (newer minus older) in the mean dollar cost of routine maintenance between newer and older cars?
A. (195 - 286) + 1.992 underroot46/45 + 58/40
B. (286 - 195) + 1.992 underroot46^2/45+ 58^2/40
C. (195 - 286)+ 1.992 underrot 140² 158²/45+40
D. (286 - 195) + 1.992 46 1582 45 +40
E. (195-286) +1.992 462 + 58 45 40

Answers

Answer:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

Step-by-step explanation:

Given that:

NEWER CARS:

Sample size = n1 = 45

Standard deviation s1 = 46

Mean = m1 = 195

OLDER CARS:

Sample size = n2 = 40

Standard DEVIATION s2 = 58

Mean = m2 = 286

Confidence interval at 95% ; α = 1 - 0.95 = 0.05 ; 0.05 / 2 = 0.025

Confidence interval is calculated thus : (newer--older)

(m1 - m2) ± Tcritical * standard error

Mean difference = m1 - m2; (195 - 286)

Tcritical = Tn1+n2-2, α/2 = T(45+40)-2 = T83, 0.025 = 1.99 (T value calculator)

Standard error (E) = sqrt((s1²/n1) + (s2²/n2))

E = sqrt((46^2/45) + (58^2/40))

Hence, confidence interval:

(195 - 286) ± 1.992 * sqrt((46^2/45) + (58^2/40))

The 95% confidence interval for estimating the difference in the mean dollar cost of the routine maintenance between newer and older cars is given by:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

Given that:

The first sample consists of owners of newer cars

First sample's size = [tex]n_1 =45[/tex]First sample's mean = [tex]\overline{x_1}=\$195[/tex]First sample's standard deviation = [tex]s_1 = \$46[/tex]

The second sample consists of owner of older cars.

Second sample's size = [tex]n_2 = 40[/tex]Second sample's mean = [tex]\overline{x_2}=\$286[/tex]Second sample's standard deviation = [tex]s_2 = \$58[/tex]To find:

95% confidence interval for difference between both samples' means.

Calculations and Explanations:

Since the sample sizes are > 30, thus we can use the z table for finding the Confidence interval.

The CI is given as:

[tex]CI=(\overline{x_1} - \overline{x_2}) \pm t_{critical} \sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}[/tex]

For 0.95 probability confidence, we have t at 40+45-3= t at 83 at 0.05/2 is 1.992 (from T tables)

Thus,

[tex]CI=(195-268) \pm 1.992 \sqrt{\dfrac{46^2}{45} + \dfrac{58^2}{40}}[/tex]

Learn more about confidence interval here:

https://brainly.com/question/4249560

Mrs. Matthews wrote three math expressions on the board.



She asked her students which expression would result in a product greater than 7.

Enter the number of the expression that Mrs. Matthews's students should have chosen.
Expression
will result in a product greater than 7.

Answers

Answer:

expression 3

because expression 1 = 1

and expression 2 = 7

Samantha is observing a salt crystal under a microscope. She wants to view more details by enlarging the image of
the crystal. Which would allow her to do this?
O increasing the amount of light that shines on the crystal
O decreasing the amount of light that shines on the crystal
O increasing the strength of the objective lens
O decreasing the strength of the objective lens

Answers

Answer:

increasing the strength of the objective lens ,

Answer:

C

Step-by-step explanation:

on edge

Given the function f(x) = 3|x - 2| + 6, for what values of x is f(x) = 18?
O x = -2, x = -8
O x = -2, x = -6
O x = -2, x = 6
O x = -2, x = 8

Answers

When x = -2, x = 6 is the answer.

The equation y - 3x - 5 = 0 when written in slope-intercept form is:
y = 3x - 5.
y=-3x + 5.
O y = 3x + 5.

Answers

Answer:

y = 3x + 5

Step-by-step explanation:

The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5

What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points)

Answers

The answer is:

Substitute 49 for x

49 + 14 = 63

Hope this helps!

Answer:

49

Step-by-step explanation:

49 + 14 = 63

so that means:

x = 49

I need help with like 3 or 4 questions please help

Answers

Answer:

x=3y-6

Step-by-step explanation:

x−3y=−6

Step 1: Add 3y to both sides.

x−3y+3y=−6+3y

x=3y−6

Answer:

x=3y−6

Anwser x=3y-6
That is the anwser trust me

PLZ HELP
Do the ones you know!

Answers

the first one in the top is 180 degrees so 8(15) and 8x15=120 so x on the other side is 60.

Sara went to breakfast with her family. What is the total cost is the sales tax is 6%?​

Answers

Answer:

divide/multiply

Step-by-step explanation:

search it up its simple

A USB stick can store 1.1x10 power of 3
megabytes of data.
A hard drive can store 4x10 power of 4
megabytes of data.
How much more can the hard drive store?
Give your answer in standard form

Answers

Answer:

uhhh

Step-by-step explanation:

Answer:

3.82 x 10

Step-by-step explanation:

divide 4 x 10^4 by 1.1 x 10^3

4 divided by 1.1 is 3.81818181... and you subtract exponents to get 1

Solve for x in the diagram shown.
A) 2.67
B) 4.5
C)5.625
D) 34.375

Answers

Answer: C

Step-by-step explanation:

PLEASE HELP!! It’s urgent!! I will mark brainliest

Answers

Answer:

a,c,d

Step-by-step explanation:

Answer:

the answer is F, C, A

Pls help me with this ASAP

Answers

The answer is the first option, 3/1

Suppose you have 20 coins that total $4.00. Some coins are nickels and some are quarters. Which of the following pairs of equations would you use to find out how many of each coin you have?

Answers

Answer:

The answer is below,

Step-by-step explanation:

n+q=205n+25q=400

I hope this helps! :)

-5b = -20 b= need help with homwork

Answers

Answer:

b = 4

Step-by-step explanation:

you must divide both sides of the equation by -5 to get b by itself. division cancels out multiplication but also keeps both sides equal

b = -20/-5

b = 4

the answer is b=4
hope this helped

Answer all of these
18% of 34
27% of 81
85% of 74
54% of 90
33% of 360
TOPIC
62% of 75
4% of 56
6% of 140
© 12% of 625
5% of 134
Finding a Percent of a
90% of 44
9% of 17
48% of 20
70% of 69
2% of 800
Some doctors recommend that no more than 30% of a
person's daily calones come from fats. Following this
recommendation. If you eat 2,400 calones in a day, what
is the maximum number that should come from fats?
When training for a fight Rocky tries to maintain a heart
rate that is 80% of his maximum heart rate, Rocky has a
resting heart rate of 60 and a maximum heart rate of
175 beats per minute. What is his training heart rate?
mbe

Answers

Answer:

18% of 34  = 6.1227% of 81  = 21.8785% of 74  = 62.954% of 90  = 48.633% of 360  = 118.862% of 75  = 46.54% of 56  = 2.246% of 140  = 8.412% of 625  = 755% of 134  = 6.790% of 44  = 39.69% of 17  = 1.5348% of 20  = 9.670% of 69  = 48.32% of 800  = 16

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

30% of 2400 = 720 calories

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

80% of 175 = 140 beats per minute

Rewrite the logarithm log8(2) as an exponential expression then find the value of the logarithm

Answers

Answer:

exponential expression:

8ᵇ = 2

log8(2) = 0.333333333 or 1/3

Answer:

log8(2) = 1/3

Step-by-step explanation:

I don't know if they mean this by an exponential expression but:

set x = log8(2), then

8^x = 8^(log8(2))

By logarithmic properties:

8^x = 2.

notice that 8 = 2^3.

By exponential properties:

8^x = (2^3)^x = 2^(3x)

So 2^(3x) = 2 = 2^1.

Comparing exponents gives:

3x = 1 <=> x = 1/3.

So log8(2) = 1/3.

If U is the set of all multiples of 3 less than 20, and M={3,12,18}, find Mc (the complement of M). Express your answer as a set in the roster form: i.e. {a,b,c...}.

Answers

Answer:

Step-by-step explanation:

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

The answer is,

U={3,6,9,12,15,18}

M={3,12,18}

M'={6,9,15}

What is set?

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind: numbers, symbols, points in space, lines, other geometrical shapes, variables, or even other sets.

here. given that,

U is the set of all multiples of 3 less than 20,

i.e. U={3,6,9,12,15,18}

and M={3,12,18},

Mc (the complement of M),

i.e. M'={6,9,15}.

Hence, we get, U={3,6,9,12,15,18} ,  M={3,12,18} & M'={6,9,15}.

To learn more on set click:

https://brainly.com/question/4801204

#SPJ2

Coach De Leon purchases sports equipment Basketballs cost $20.00 each, and soccer balls cost $18.00 each. He had a budget of $150.00

Part A: Use the drop downs to create an inequality that represent the situation Lets represent the number of soccer balls and let b represent the number of basketballs.

________ ____ ______

Part B: Given the coach's budget, which of the following is a viable option for the equipment he can purchase?

A) 4 basketballs and 6 soccer balls
B) 5 basketballs and 2 soccer balls
C) 2 basketballs and 7 soccer balls
D) 6 basketballs and 5 soccer balls

Answers

Answer: B  -   5 basketballs and 2 soccer balls

Step-by-step explanation:

Answer:B

Step-by-step explanation:

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