Which of the following is an example of a rational function?

f(x) = 270(1.01)x
g of x equals the quantity x squared minus 5x plus 7 end quantity divided by the quantity x minus 3 end quantity
h(x) = |x + 2|
p(x) = log4(x)3

Answers

Answer 1

Answer:

(Second Option) = g of x equals the quantity x squared minus 5x plus 7 end quantity divided by the quantity x minus 3 end quantity

Step-by-step explanation:

A rational function contains a polynomial in both the numerator and the denominator. This answer fits that requirement.


Related Questions

How many square tiles of side 20cm are needed to cover a floor 3.8m by 2.8m?​

Answers

Answer: 266

Step-by-step explanation:

Area of floor 3.8 × 2.8 = 10.64m²

Tiles 0.2m × 0.2m = 0.04m²

Number of titiles = 10.64/0.04

The question is in the screenshot below.

Answers

Answer:

2 19/24

Step-by-step explanation:

Simplify it in whatever whey they ask you to for the answer

Answer:

37/12

Step-by-step explanation:

[tex] \frac{2}{3} \div 2 + ( \frac{3}{4} + \frac{1}{6} ) \div \frac{1}{3 } \\ \frac{2}{3} \div 2 \div \frac{9+ 2}{12} \div \frac{1}{3 } \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{2}{3} \div 2 + \frac{11}{12} \div \frac{1}{3} \\ \frac{1}{3} +\frac{11}{4} \\ \frac{37}{12} [/tex]

Convert each number from real to scientific notation.

11) 0.00006228

12) 0.00007243

13) 13,760

14) 839.1

15) 0.00006324

16) 0.003136

17) 0.00009435

18) 0.0006437

19) 0.001232

20) 0.007955

Answers

Answer:

6.228×10-⁵

7.243 × 10-⁵

1.376 ×10⁴

8.391×10²

6.324×10-⁵

3.136×10-³

9.435×10-⁵

6.437×10-⁴

1.232×10-³

7.955×10-³

(sin (x+y)) / sinxcosy = 1+ cot(x) + tan(y)

Answers

Answer:

sin (×+y)/sinx cosy =1+ cotx tany

from trig ratio Sin [x +y] = sinx Cosy + cosx siny

Sinx cosy + cosox siny./Sinx cosy

then check the attachments for further information

which two expressions are equivalent?

a) x+x+x and x³

b) 14x + 10 - 2x and 16x + 10

c) 12x + 16x and 4(3x+4x)

d) 12x² + 5x + 10 and 17x² + 10

NO SPAM ANSWERS.​

Answers

Answer:

c

Step-by-step explanation:

(4×3x)+(4×4x)=

12x+16x

4. If the diameter (across) is 30 cm, what is the measure of the radius? 30 cm Hint: The radius is 1/2 the diameter d=21.​

Answers

Answer:

If the diameter is 30 cm, the radius is 15 cm

Step-by-step explanation:

What is the diameter of a circle?

It's a straight line that runs from one side of the perimeter through the center to the other side of the perimeter.

The hint is exactly correct, the radius is a half of the diameter, or the diameter is 2 times the radius.

If the diameter is 30cm, the measure of the radius is 30 ÷ 2  ( = 15)

Analyze the following table of values.

y=1/2x
y=1/2^x2+4
y=4^x2+1/2
y=4(1/2)x

Answers

The table models an exponential relationship, and the equation of the table is [tex]y = 4(1/2)^x[/tex]

How to analyze the table of values?

The table of values is given as:

x  0   1    2   3    4

y  4   2    1   1/2  1/4

The above table shows an exponential model

An exponential model is represented as:

[tex]y = ab^x[/tex]

When x = 0 and y = 4, we have

[tex]ab^0 = 4[/tex]

Evaluate

a = 4

When x = 1 and y = 2, we have

[tex]ab^1 = 2[/tex]

Evaluate

[tex]ab = 2[/tex]

Substitute 4 for a

4b  = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in [tex]y = ab^x[/tex]

[tex]y = 4(1/2)^x[/tex]

Hence, the equation of the table is [tex]y = 4(1/2)^x[/tex]

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Share 48 in the ratio 4:2

Answers

Answer:

48: 24

Step-by-step explanation:

divide.

which value of m makes the inequality 10m-5<45

Answers

Answer:

m < 5

Step-by-step explanation:

10m-5 < 45

Add 5 to both sides

10m - 5 + 5 < 45 + 5

Simplify

10m < 50

Divide both sides by 2

10m/10 < 50/10

Simplify

m < 5

Kavinsky

IF YOU HELP ILL GIVE U BRAINIEST!! HELPPPPPP

Solve for c in terms of x.




Answers

Answer:

c = x + 5

Step-by-step explanation:

using Pythagoras' identity in the right triangle

c² = 5² + ([tex]\sqrt{x^2+10x}[/tex] )²

   = 25 + x² + 10x

  = x² + 10x + 25 ← a perfect square

c² = (x + 5)²

take the square root of both sides

c = [tex]\sqrt{(x+5)^2}[/tex] = x + 5

Kendrick will pay interest at a monthly rate of 0.7% on a student loan of $6000 for the next 2 years, at which point he will begin making payments. The total number of dollars he will owe in 2 years is 6000(1.007)24. Rewriting the expression 6000(1.007)24 in which of these ways would be useful in calculating the rate of interest he will pay each year?

Answers

The ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

Rate of interest

Using this formula

Rate of interest=Principal(1+Rate)^nt

Where:

Principal=$6,000

Rate=0.7%

Time=2 years

Number of months =12 months

Let plug in the formula

Rate of interest=6000(1+.007)^12×2

Rate of interest=6000(1.007)^24

Rate of interest=$7,093.47

Therefore the ways that would be useful in calculating the rate of interest he will pay each year is:  6000(1.007)^12×2

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Please help me on this!

Answers

Question : For which integer, x, does the value of g(x) begin to exceed the value of f(x) ?

A. 30

B. 29

C. 28

D. 27

ANSWER: B. 29

#learnalways #brainly

Step-by-step explanation:

Hope it's help

Brainliest

#Follow

A box is in the shape of a rectangular prism. kristi is trying to ship boxes of her homemade granola trail mix. the box she is using to ship has the dimensions of 18in by 24in by 12in. each trail mix box has dimensions of 4in by 3in by 3in. how many trail mix boxes will fit into the box to be shipped? explain how you got your answer.

Answers

The number of rectangular trail mix box that will fit into the rectangular box to be shipped is 144.

Volume of a rectangular prism

The volume of a rectangular prism is represented as follows;

volume of rectangular prism = lwh

where

l = lengthw = widthh = height

Therefore,

volume of the box = 18 × 24 × 12 = 5184 inches³

Therefore, the volume of each trail mix box is as follows:

volume = 4 × 3 × 3 = 36 inches³

Therefore,

number of trail mix box that can fit the box to be shipped = 5184 / 36 = 144

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Answer:

144 (100% correct)

Step-by-step explanation:

To calculate the number of trail mix boxes that will fit into the shipping box, we need to compare the volumes of the two boxes.

First, let's calculate the volume of the shipping box (rectangular prism):

Volume of the shipping box = length * width * height

Volume of the shipping box = 18 in * 24 in * 12 in

Volume of the shipping box = 5184 cubic inches

Next, let's calculate the volume of each trail mix box (rectangular prism):

Volume of each trail mix box = length * width * height

Volume of each trail mix box = 4 in * 3 in * 3 in

Volume of each trail mix box = 36 cubic inches

Now, we divide the volume of the shipping box by the volume of each trail mix box to find the number of trail mix boxes that will fit:

Number of trail mix boxes = Volume of the shipping box / Volume of each trail mix box

Number of trail mix boxes = 5184 cubic inches / 36 cubic inches

Number of trail mix boxes = 144

Therefore, 144 trail mix boxes will fit into the shipping box.( For confirmation to those who need it)

4 Write always, sometimes, or never. 1. Multiplying a decimal by 104 shifts the decimal point 4 places to the right. a 2. The product of a whole number and a decimal number is a whole number 3. The product of two decimal numbers less than 1 is greater than either factor 4. The product of a number multiplied by 0.1 is 10 times as much as multiplying the same number by 0.01. ​

Answers

Answer:

1. Never

2. Sometimes

3. Never

4. Always

Step-by-step explanation:

hope this helps

please help!!!
translate the triangle with the vector -4 , 1

Answers

The transformation can be defined as the introduction of a new set of mathematical coordinates.

What is transformation?

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

Given the triangle is needed to be translated by vector <-4,1>, therefore, we need to reduce -4 from all the x-coordinates of the points and add 1 to all the y-coordinates of the points.

Since negative on the x-axis is towards the left, and positive on the y-axis is upwards. Therefore, the translation of the given triangle will be as shown below.

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How many roots does the function have?
f (x) = x^6+ 2x^5 - 2x^4 + 3x^3 + 4x^2 - 5x + 7


2
6
21
7

Answers

Answer:

21

Step-by-step explanation:

6+5+4+3+2+1=21 and there you g9

Simplify.
(A^2)^3+(A^-2)^-2
A. A^2
B. A^10
C. A^24
D. A^6+ A^4

Answers

A a^2 you wlc I think it’s right

Alice has five cards each with a number on them. Three of the numbers are shown. 3 8 5 ( I found another 5 as the mode is 5) 5 The mode of the five numbers on the cards is 5 The mean of the five numbers on the cards is 6 Work out the range of the five numbers on the cards. You must show your working.​

Answers

Answer:

last number is 9; range is 3-9

Step-by-step explanation:

since 5 is mode and 6 is mean, the 5 numbers must equal 30(as 30/5 is 6). 3+8+5+5 is 21, meaning last number is 9. therefore, range is 3-9 (largest and smallest)

7. Interest is compounded semianually. Find the amount in the account after the given time.

Answers

Answer:

$1,229.26

Step-by-step explanation:

Finding compound interest :

A = P (1 + r/n)^(nt)A = (1,000)(1 + 0.07/2)²⁽³⁾A = (1,000)(1.035)⁶A = (1,000)(1.22925533)A = $1,229.26

equation that equal 15

Answers

Answer:

15x=225

Step-by-step explanation:

15x=225

x=15

10 + 5 = 15.

14 + 1 = 15

13 + 2 = 15

those are what ik but guy above is more accurate lol

Graph the following features
Y-intercept = 2
Slope = -2/5

Answers

Answer:

Step-by-step explanation:

Timmy drops two objects: a small book, and a bowling ball. The bowling ball has a mass of 3.6 kg and the book has a mass of 1.4 kg. If there is no air resistance, which object will fall at a faster rate? Explain.​

Answers

Answer:

Both object will fall at the same speed

Step-by-step explanation:

Gravitational acceleration acting on both if those is equal. so Heavy objects fall at the same rate (or speed) as light ones

please help!!

-1,-6
1,-2
3,2

write the equations of a liner function that had a y-intercept greater than the function represented in the table and is parallel to the function y+ 1/4x=2

Answers

to get the equation of any straight line, we simply need two points off of it, so for the equation in the table, let'use the points in the picture below

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{2}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}}\implies \cfrac{2+2}{2}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{2}(x-\stackrel{x_1}{1})\implies y+2=2x-2[/tex]

[tex]y=2x\stackrel{\stackrel{b}{\downarrow }}{-4}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]

so the equation in the table has a y-intercept of -4.

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

[tex]y+\cfrac{1}{4}x=2\implies y=\stackrel{\stackrel{m}{\downarrow }}{-\cfrac{1}{4}} x+2\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}[/tex]

so hmmm we're really looking for an equation whose slope is -1/4 and with a y-intercept greater than -4, hmmm let's recall something, that on the negative side of the number line, the closer to 0, the greater.

that said, on the negative side of the number line -10 is much larger than -1,000,000, because -10 is closer than -1,000,000 to 0, and so on.

so hmmm what's greater than -4?  hmm well, heck let's use -2

[tex]y = -\cfrac{1}{4}x - 2[/tex]

Create a word problem that would require the use of equations to solve the problem.

Answers

Answer:

Tonya"s tennis Academy charges $25 per hour for lessons plus a $15 registration fee. Gerald spent a total of $290 for lessons. How many hours of lessons (h) did he take? Create an equation to determine the cost of the lessons with number of hours of lessons as the variable. Then substitute what you know and solve for hours of lessons.

its a word problem from wyzant.

Step-by-step explanation:

The charge = $15 + $25h (h represents the number of hours)

$290 = $15 + $25h

$275 = $25h ( subtract $15 from both) sides

11 = h ( divide both sides by $25)

5 cm is the diameter 12 cm is the height was is the answer round to the nearest tenth

Answers

Answer:

03.97655 that will be there for answers

you take a student loan of $60,000 to go to a private college. interest is 5.5% compounded monthly. The life of the loan is 20 years. How much is the total cost of the loan

Answers

Answer:

637 DOLLARS

Step-by-step explanation:

have a good day

Find the volume of the cylinder in terms
of pi
8 m
3.8 m
Answers
60.8
57.76
438.98
115.52

Answers

Answer:

115.52 m³

Step-by-step explanation:

As per given question we have provided that :

➟ Height of cylinder = 8 m➟ Radius of cylinder = 3.8 m

We need to find the volume of cylinder :

➟ Volume of cylinder = πr²h

Substituting all the given values in the formula to find the volume of cylinder :

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi {r}^{2}h}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8)}^{2}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(3.8 \times 3.8)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi{(14.44)}8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 14.44 \times 8}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = \pi \times 115.52}}}[/tex]

[tex]{\longrightarrow{\sf{Volume_{(Cylinder)} = 115.52 \pi \: {m}^{3}}}}[/tex]

[tex]{\star\underline{\boxed{\sf{\pink{Volume_{(Cylinder)}} = \purple{115.52 \pi \: {m}^{3}}}}}}[/tex]

Hence, the volume of cylinder is 115.52 m³.

[tex] \rule{200}2[/tex]

help me pls :)
it is for revision but i dont understand it...

Answers

[tex]\textbf{a)}\\\\3x^2 y^4 \cdot 2x^6 y \\\\=6x^{2+6} \cdot y^{4+1}\\\\=6x^8 y^5\\\\\textbf{b)}\\\\xz^3 \cdot 4x^4 z^5\\\\=4x^{4+1} \cdot z^{3+5}\\\\=4x^5 z^8\\\\\textbf{c)}\\\\4a^3b^2 \cdot 3a^6 b^5 \\\\=12a^{3+6}\cdot b^{2+5}\\\\=12a^9b^7\\\\\textbf{d)}\\\\6s^5t\cdot s^4 t^2\\\\=6s^{5+4} \cdot t^{2+1}\\\\=6s^9t^3[/tex]

please help!!! evaluate -|-8-2|

Answers

[tex]-|-8-2|\\\\=-|-10|\\\\=-10~~~~~~~~~~~~~~~~~~~~~~~~~~~;|-a| = a[/tex]

Answer: Heyaa! ~

Your Answer is... -10, Which is B.

Step-by-step explanation:

-|-8-2|

-|-10|

-10

Hopefully this helps you! ^

Write the power 4⁴ in repeated multiplication form. Then find the value of the power.
The power in repeated multiplication form is
The value of the power is

Answers

The power in repeated multiplication form of 4⁴ is: 4 × 4 × 4 × 4 = 256.

How to Write a Number in Repeated Multiplication Form?

To wrote a number in repeated multiplication form, write the base number  multiplied as many times as the stated exponents.

Given the number, 4⁴, we have:

4 × 4 × 4 × 4 = 256.

The value of the power of 4⁴ is: 256.

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Answer:

Step-by-step explanation:

4 x 4 x 4 x 4  = 16 x 16 = 256 is the value

4^4 is the power

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