Find the domain for the rational function f of x equals quantity x plus 4 over quantity 3 times x minus 5.
1. negative infinity to negative five thirds and negative five thirds to infinity
2. negative infinity to five thirds and five thirds to infinity
3. (−[infinity], −4)( −4, [infinity]) (−[infinity], 4)(4, [infinity])

Answers

Answer 1

Answer:

  2. negative infinity to five thirds and five thirds to infinity

Step-by-step explanation:

You want the domain of the rational function f(x) = (x +4)/(3x -5).

Domain

The domain is the set of input values for which the function is defined. A rational function is undefined when its denominator is zero. f(x) is undefined when ...

  3x -5 = 0

  x = 5/3

So, the value 5/3 must be excluded from the domain of f(x). The domain of f(x) is ...

  -∞ < x < 5/3  ∪  5/3 < x < ∞


Related Questions

what is the geometric mean between 7 and 12

Answers

Answer:

Geometric Mean = 9.17

Step-by-step explanation:

Here,

a = 7

b = 12

Geometric mean = root(ab)

= root( 7 x 12)

= root(84)

= 9.17

9.5 is the geometric mean of any 2 numbers.

I tried doing this on my own but the answers I get don’t match

Answers

Answer:

73/79

Step-by-step explanation:

First find the precent if it is a decimal round. In this case they want you to find the decimal of each answer and mach it with your decimal.

Complete the equations.
look at photo

Answers

Answer:

25.8

258.

2580.

Step-by-step explanation:

just move the decimal that many times

Answer:

25.8

258

2580

Step-by-step explanation:

10 to the power of 2 is 100

10 to the power of 2 is 1000

10 to the power of 4 is 10000

100 * 0.258

1000 * 0.258

10000 * 0.258

(c) The annual membership fee in 2013 is $198 for each adult and $75 for each child.

Adult = 440 members
Children = 120 members

(i) Calculate the total amount the 560 members pay in 2013.


(ii) The adult fee of $198 in 2013 is 5.6% more than the fee in 2012.
Calculate the adult fee in 2012.​

Answers

Answer:

i ) $96120

ii ) Singular adult fee in 2012: $186.91

Step-by-step explanation:

( i )

To find the costs of all 560 peoples you:

Multiply the amount of people by the fee,

440 × 198 = $87120

120 × 120 = $9000

Add these go get the sum of member fees: $96120

( ii )

First calculate what 1% of the adult fee would be:

198 ÷ 100 = 1.98 = 1%

Then calculate what 0.1% of the fee:

1.98  ÷ 10 = 0.198 = 0.1%

Now multiply 5 by the value of 1% to get 5% :

5 × 1.98 = 9.9

Then multiply 6 by the  0.1% to get 0.6% :

0.198 × 6 = 1.188

Add these numbers together to get:

1.188 + 9.9 = $11.088 = 5.6%

Due to the fact this question is referring to money we will round this number 2 decimal places (as money does not exceed 2dp)

$11.09

We now subtract this from the 2013 fee to find out the 2012 fee

$198 - $11.09 = $186.91

$186.91 was the cost of a singular adult fee in 2012

3.
Which equation is an identity?


A. –3y + 3 = –3y – 6

B. 9 – (2v + 3) = –2v – 6

C. 3w + 8 – w = 4w – 2(w – 4)

D. 7m – 5 = 8m + 7 – m

Answers

Answer:

i think B but I’m not 100% sure lol

Step-by-step explanation:

Here’s what I found on this app

3w + 8 - w = 4w - 2(w - 4)

2w + 8 = 4w - 2w + 8

2w + 8 = 2w + 8

0 = 0

Answer:  C. 3w + 8 – w = 4w – 2(w – 4)

Identity equations are equations that are true no matter what value is plugged in for the variable. If you simplify an identity equation, you'll ALWAYS get a true statement. Learn about identity equations in this tutorial, and then create your own identity equation.

Step-by-step explanation:  Algebra.com

a. 11 - (2v + 3) = -2v - 8

Simplify

    11 - 2v - 6 = -2v - 8

         5 - 2v = -2v - 8

Add 3v to both sides

              5 = -8

That's false, so it is not an identity.

b. 5w + 8 - w = 6w - 2(w - 4)  

Simplify

      4w + 8 = 6w - 2w + 8

      4w + 8 = 4w + 8

That's exactly the same on both sides, so it's

an identity.

       

c. 7m - 2 = 8m + 4 - m

  7m - 2 = 7m + 4

Subtract 7m from both sides:

      -2 = 4

That's false, so it is not an identity.

 

d. 8y + 9 = 8y - 3

Subtract 8y from both sides:

       9 = -3

That's false, so it is not an identity.


Use the Subtraction Property of Equality to complete the following statement:
If 10x+6 - 21, then____=15

A.) 10x - 6
B.) 10x + 6
C.) 10x
D.) 1.5

Answers

Answer:

Assuming the question is "If 10x+6 = 21" with an equation sign in place of the subtraction:

C.) 10x

Step-by-step explanation:

10x + 6 = 21

10x + 6 - 6 = 21 - 6

10x = 15

A PQR is reflected over the x-axis. What are the
coordinates of O'?
у.
8
(-8,2)
2
(8,-2)
-8
-6
-2
0
2
6
8
-2
(-6,5)
8
(6,-5)

Answers

The coordinates of O’ is (8,-2)

Bill plans to save for a pair of headphones that are 89.00.The sales tax rate is 8% how much will bill need to save

Answers

Answer: 96.12

Step-by-step explanation:

The amount that Bill will need to save will be for the cost of the headphones and the sales tax that will be applied. This will be:

= 89 + (8% × 89)

= 89 + (0.08 × 89)

= 89 + 7.12

= 96.12

Therefore, Bill will need to save 96.12.

I NEED HELP PLZ THANK U BESTIES MUAH MUAH MUAH

Answers

Answer:

[tex]\frac{0+2}{3+1}[/tex]

Step-by-step explanation:

so basically we all know the formula for slope is [tex]\frac{x2-x1}{y2-y1}[/tex]. since the numbers are labeled, just plug them into their spots!

Answer:

b (-2)

Step-by-step explanation:

because the solution is y2-y1 over x2-x1 so you plug in the number that your Miss

In a school of 464 students, 89 students are in the band, 215 students are on sports teams, and 31 students participate in both activities. How many students are involved in neither band nor sports?
A.160 students
B.191 students
C.249 students
D.433 students

Answers

Answer:

191 students  B option is correct

Step-by-step explanation:

Total students=464

In band=89

sports teams=215

Number of students who participates in activities is

215+89=304

31 participate in  both activities so,

304-31=273

273 who participate in activities

Total students-273=Not involved in any activity

464-273=191

Want me to help you on your homework for free? If so, answer this question. I have no missing assignments.

Answers

Wait I just need points AND YES

in 2010. 465 students went to a certain school. In 2014, 372 students went to the same school. By what percent did the number of students decrease?

Answers

Answer:

20%

Step-by-step explanation:

465 - 372 = 93

93/465 = 0.2

0.2 × 100 = 20

Hope this helps !

(6x2 - 2x) + (5x-7)
A. 30x3 - 52x2 + 14x
B. 6x2 - 7x+7
c. 11x2 - 9x
D. 6x2 + 3x - 7

Answers

Answer:

The answer is D

The graph below shows the path of a submarine


What is the range of this function?

a) 0
b)-300 ≤ y ≤ 0

c)0 ≤ y ≤ 80

d)-300

Answers

Answer:

b

Step-by-step explanation:

a submarine cant go above 0 and it shows on the graph the lowest it will go is -300

A 10 ft. tree casts a 14 ft. shadow. If a building casts a 280 ft. shadow, how tall is the building?

Answers

Answer: The building is 200ft tall

Explanation: if you Set up a ratio.
10 is to 14 as x is to 280.

Find the measure of angle y in the following figure.

Answers

Answer:

[tex]50^{o}[/tex]

Step-by-step explanation:

90 + 40 = 130

180 - 130 = 50

i need hel asap Find the total surface area of the triangular prism.
Select one:

116.42

178.42

135.42

123.42

Answers

Answer:

is there are picture you attach

1. Find the missing side for each triangle. Show all work.

Answers

Answer:

a. x ≈ 3.72b. x ≈ 8.08c. x ≈ 3.94

Steps:

a.

x = 7×tan(28)

x = 7×0.531..

x ≈ 3.72

b.

x = 7/cos(30)

x = 7/0.86..

x ≈ 8.08

c.

x = 6×sin(41)

x = 6×0.65..

x ≈ 3.94

The perimeter of a square is 109.8 square inches. what is the length of one square? A 2.74 in B 10.98 in C 25 in D 27.45 in

Answers

Answer:

B

Step-by-step explanation:

SOlve it

P=109.8 in^2
l=?
P=4•l
109.8=4•l
l=109.8/4
l=27.45 in
Good luck

Help me solve this pls

Answers

Answer:

[tex] \frac{x - 10}{8} [/tex]

Step-by-step explanation:

[tex] \frac{3x}{8} - \frac{x + 5}{4} [/tex]

The common denominator of both fractions is 8. Therefore,, divide the denominator of each fraction, then multiply what you get by the numerator of each fraction.

Thus:

[tex] \frac{1(3x) - 2(x + 5)}{8} [/tex]

[tex] \frac{3x - 2x - 10}{8} [/tex]

[tex] \frac{x - 10}{8} [/tex]

2(x - 3) = 2x + 5? Need Help Now

Answers

Answer:  it has no solutions

Step-by-step explanation:

if im wrong i owe u

2(x - 3) = 2x + 5     distribute by multiply 2 into the parenthesis.

2x - 6 = 2x + 5

-2x        -2x         subtract 2x on both sides, 2x's will cancel on both sides.

____________

-6 = 5

Since -6 = 5, there is no solution because -6 cannot equal to 5, which is a false statement. Thus, "C. There is no solution." is the correct answer. Hope this helps :)

If Susie can make 2 shirts in 5 hours and Joe can make 3 shirts in 5 hours, which one has the greater unit rate?

Answers

Answer:

Joe

Step-by-step explanation:

3 shirts / 5 hours is bigger than 2 shirts / 5 hours

Answer:

Joe has a higher unit rate

Step-by-step explanation:

please brainliest I was the first answer

Find the missing angle please help

Answers

Answer:

saw this question on egde its b

Each week, Joe earns $75 for tutoring plus $17.50 for each additional hour he tutors. His friend, Maddie earns $56 for tutoring plus $19.50 for each additional hour she tutors. Write an expression that represents the total they make altogether after tutoring for t hours.

Answers

Answer:

$75 + $17.50t

$56 + $19.50t

Step-by-step explanation:

Let us assume the number of hours be t

Now according to the equation

For Joe

= $75 + $17.50t

And, for Maddie

= $56 + $19.50t

The expression that represents the total is as

$75 + $17.50t

$56 + $19.50t

Hence, the above represent the answer and the same is relevant

Pls help me I need some help

Answers

Answer:

THIS IS SO EASY JUST OPEN YOUR BRAIN AND DO IT THIS IS LIKE 2nd GRADE CMON!!!!

Step-by-step explanation:

Answer: I’m am not sure but i think it is 126

Step-by-step explanation:

g2 + 23 when g = 6??? help

Answers

12+23 then 35 is the answer

Can anyone help me with this question please
I’ll mark you as a brainliest.
No links though .

Answers

Answer:

The answer is D

Step-by-step explanation:

Don't worry, no links here :)

The answer for this question is D!!

LeBron keeps track of events in his life relative to the year he was born. Relative to when he was born, his brother was born in year −3, and his family moved in year 7.
Which one of the following inequalities correctly compares the relative years?
Choose 1 answer:


(Choice A)
-3 > 7

(Choice B)
7 > -3
Which one of the following descriptions is correct?
Choose 1 answer:
(Choice A)
LeBron's family moved after his brother was born.
(Choice B)

LeBron's brother was born after his family moved.

Answers

Answer:

B then A

Step-by-step explanation:

Just easy

Answer:

first is A

then is B

Step-by-step explanation:

your welcome

16 feet = ? meters ?

Answers

Answer:

0.3048

Step-by-step explanation:

0.3048

Answer:

4.88 meters

Step-by-step explanation:

1 foot is approximately 0.3048 meters. 16(0.3048)= 4.88 meters (rounded to the nearest hundreth).

Hope this helped!

Solve for y: -5y + 6 = 16​

Answers

Answer:

y= -2

Step-by-step explanation:

Answer:

[tex]y=2[/tex]

Step-by-step explanation:

Well first move the 6 to the right side to isolate the y by taking 6 away from both sides to get [tex]-5y=10[/tex]. Then divide both sides by -5 to get [tex]y=2[/tex]. Hope this helps!

Pls mark brainliest!
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