f(x) = In (3 - 4x)
What is the domain

F(x) = In (3 - 4x)What Is The Domain

Answers

Answer 1

Answer:

Step-by-step explanation:

The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:

[tex]3-4x > 0[/tex]

Subtrauct 3 on both sides:

[tex]-4x > -3[/tex]

Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:

[tex]x < 3/4[/tex]

Therefore, our allowed 'x' values is anything less than 3/4:

-∞ < x < 3/4


Related Questions

Factor rs - 5s + 5r - 25 by grouping

Answers

Answer:

(s+5)(r-5)

Step-by-step explanation:

From the first 2 terms, we can factor s to get

rs - 5s = s(r-5).

Similarly, we can factor 5 form the last 2 terms to get

5r - 25 = 5(r-5).

The original expression then becomes

s(r-5) + 5(r-5).

From here, we can treat (r-5) as a single term and factor the rest to get

(s+5)(r-5),

and we are done.

Pls help me
Pls show your answer pls and thank you

Answers

Answer:Pls help mePls show your answer pls and thank you

Pls help mePls show your answer pls and thank you

Step-by-step explanation:Pls help mePls show your answer pls and thank you

bot responded dont reply

this is a k 12 question

Answers

Total is 45-5 = 40, because it starts at 5, tricky haha

Area in interest is 30-20 = 10

What percentage is 10 of 40?

10/40 = 0.25

0.25*100 = 25%

Brainiest

HELP
BRAINLEIST
AND 15 points!!!

Answers

Answer:

the product is 20 hope its helps :)

Step-by-step explanation:

The most common ages of children that use the library are

Answers

Answer:

12-17

Step-by-step explanation:

this is right. trust (:

NO LINKS!!!! Please help me with this problem

Answers

Answers:

a)  x+y = 70b) The graph is shown below. The lines intersect at (20, 50) meaning that she has 20 quarters and 50 dimes.

========================================================

Explanation:

a)

x = number of quarters

y = number of dimes

x+y = number of dimes and quarters

x+y = 70 coins total

-----------

b)

Use a graphing tool like Desmos or Geogebra to plot each linear equation on the same xy grid. I'm using Geogebra to get what is shown below.

The red line 25x+10y = 1000 goes through (0,100) and (40,0)

The blue line x+y = 70 goes through (0,70) and (70,0)

The two lines intersect at (x,y) = (20,50)

This means x = 20 and y = 50 pair up together.

Kateri has 20 quarters and 50 dimes

20 quarters = 20*25 = 500 cents = 500/100 = $550 dimes = 50*10 = 500 cents = 500/100 = $5

Total value = $5 + $5 = $10

Also note that 20 quarters + 50 dimes = 70 coins total

Both conditions have been confirmed.

Help With this question ​

Answers

Answer:

i think it is 523.6

Step-by-step explanation:

α=4/3πr3=4/3·π·53≈523.59878

Hope This Helps

Tell whether the triangle with the given side lengths is a right triangle

14mm, 19mm, 23mm

Answers

Answer:

  not a right triangle

Step-by-step explanation:

The side lengths of a right triangle will satisfy the relation given by the Pythagorean theorem:

  c² = a² +b²

  23² = 14² +19²

  529 = 196 +361

  529 = 557 . . . . . . . . not true; not a right triangle

__

The longest side (23 mm) is too short for a right triangle, so the angle opposite will be smaller than 90°. This is an acute triangle.

_____

If you're doing a bunch of these comparisons, use of a triangle solver app or spreadsheet can help.

In AABC, m ZA=36° and m ZB =92°. What is M ?

Answers

m∠C = 52°

The total interior angle of a triangle sum ups to 180°

Solve:

m∠A + m∠B + m∠C = 180°

36° + 92° + m∠C = 180°

m∠C = 180°  - 92° - 36°

m∠C = 52°

Answer:

m∠C = 52°

Step-by-step explanation:

Angle Sum Property

∠A + ∠B + ∠C = 180°

Here we have :

∠A = 36°∠B = 92°

Solving :

36° + 92° + ∠C = 180°∠C + 128° = 180°∠C = 52°

Look at the following solution of the equation x raised to the power of 6=64.

x raised to the power of 6=64

so, x raised to the power of 3=8

so, x=2

There is an error in this solution. Write a corrected version.

Answers

Answer:

Nothing wrong with the solution x = 2

Step-by-step explanation:

2^6 = 64

2^3= 8

Hence x = 2

If the spinner below is spun twice, find the probability that it lands on N, then a vowel.

Answers

Answer:

0.29 or 29%

Step-by-step explanation:

There are 7 options per spin. Of which 3 vowels.

For 2 spins, total spins is 14.

conditions:

First spin is 1/7

Second spin is 3/7

so,

4/14 = 0.29 or 29% I think

Need help with this asap please

Answers

Since they are similar, that means they are proportionally the same.
So KL is similar to PN
JL is similar to PM

So,
You need to find how much bigger is the second triangle from first.
It is proportionally scaled up.

KL/JL = PN/ PM

You basically put in order of triangles. Left triangle on left side of equal sign and right triangle on right side of equal sign. You put in denominator the similar sides and numerator the similar sides (the side that is similar to the side of the other triangle)

5/6 = PN / 9
Cross-multiply
PN * 6 = 5*9
6PN = 45
PN =45/6

PN =7.5

The value of PN is 7.5 if the triangles  KLJ and NPM are similar triangles.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

The triangles KLJ and NPM are similar triangles.

So the sides of triangle are proportional.

KL/JL = PN/PM

Substitute the values:

5/6 = PN/9

Apply cross multiplication:

45=6PN

Divide both sides by 6:

45/6=  PN

7.5=PN

Hence, the value of PN is 7.5.

To learn more on similar triangles click:

https://brainly.com/question/29731302

#SPJ3

Which ones are functions and which are not?

Answers

Answer:

relation 2 is not a function.

Step-by-step explanation:

objects in function can only have one image.

H
Write the decimal as a fraction.
0.5 = 11
[?]
Simplify your answer completely.

Answers

Step-by-step explanation:

The answer to Your Question in the image is 2/3

2/3=0.6_

Simplify the radical expression. [tex]\sqrt{400/5}[/tex]

Answers

Answer:

option c is correct answer

Step-by-step explanation:

since 4×4×5=80

While 400/5=80

find the L.C.M of 4x3 - 9x, 10x2 - 15x​

Answers

Answer:

  20x³ -45x

Step-by-step explanation:

The least common multiple of two expressions is the product of their unique factors.

__

  4x³ -9x = x(4x² -9) = x(2x -3)(2x +3) . . . . factors of 1st expression

  10x² -15x = 5x(2x -3) . . . . . . . . . . . . . . . . factors of 2nd expression

The unique factors are 5, x, (2x -3), and (2x +3). Their product is ...

  5(4x³ -9x) = 20x³ -45x . . . . least common multiple

Marguerite can save 130 pictures on a DVD.How many pictures can be stored on 7 DVDS

Answers

Marguerite can store a total of 910 pictures on 7 DVDS.

Answer:

910 pictures can be stored on 7 DVDs.

Step-by-step explanation:

130 X 7 = 910.

Dans une boîte, il y a des jetons de différentes formes (triangle, disque flèche) décorées avec trois sortes de motif.
Flèch
Formes Triangle
30
Disque
10
Total
48
Motif
Motif 1
Motif 2
Motif 3
9
AD
4
16
90
45
23
Total

Answers

Answer:

The anwer for the top row is 30, 10, 8, and 48. The next row is 9, 8, 9, and 26. The next row is 6, 4, 6, and 16. The last row is 45, 22, 23, and 90.

Step-by-step explanation:

6. In acertain school the following data was compiled from a survery a 80 students 40study physics 30study chemistry 25study neither physics nor chemistry .how many students study
physics and chemistry?

Answers

Answer:

40+30

70÷2

35

hope this helps

I'm an even number.
I'm > 758 and <893.
I'm a multiple of 100.
What am I?

Answers

Answer:

800

Step-by-step explanation:

Multiples of 100 to 1000:

100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.

|___________________________|         |________|

                These dont match the given criteria.

800 is greater than 758 and less than 893.

Hope that helps

What is eleven plus h squared in expression form?

Answers

11+h²
this would be the correct answer

Answer:

h²+11

Step-by-step explanation:

answer is h²+11

h squared= h²

h²+11

A model house has a scale of
lin: 2ft. If the real house is 26 ft
wide, then how wide is the
model house?

Answers

Answer: Assuming that you mean 1in:2ft the model house would be 13 inches wide.

Step-by-step explanation: well 1 is half of 2 right? So if you want to get the numbers easier to use then just divide that 26 by 2 and then you get the scale 1in:1ft. From there it is easy, 13 feet of the real house= 13 inches in the model house

the original price of an Audio Jukebox was $260 it is on sale for $240. what
percent discount does this represent?

Answers

Step-by-step explanation:

Roughly 8%

The exact answer is 7.6923076923

•** Pls Help Me **•

Pls show your work thank you

Answers

Answer: 34 cm^2.

Step-by-step explanation: To find the area of a trapezoid, you need to add base 1 and base 2, multiply the height, and divide it all by 1/2.  The steps are done below:

Find base 1, base 2, and the height: To find base 1 and base 2, you find the top and bottom lengths of the trapezoid.  5 is the top and 12 is the bottom of the trapezoid.  You can assign whichever base to whichever number, as long as base 1 and base 2 have a number.  For this problem, we'll assign 5 for base 1 and 12 for base 2.  To find the height, you need to find the height of the trapezoid, which is 4.Make an equation: The equation should look like the following...         5 (base 1) + 12 (base 2) x 4 (height) / 1/2.Solve: The first thing you should do when solving is to add the bases together, which is 17.  Next multiply the height which is 4, by 17, which is 68.  Lastly divide 68 by 2, which can be done in two ways.  You can either simply divide 68 by 2 or multiply 68 by 1/2, which will both give you the same answer.  68 x 1/2 = 34.

Therefore, your answer is 34 cm^2.  There's an image below if you need additional information.

Hope this helps! :)

Prospect Creek, Alaska, holds the U.S. record for the coldest temperature, -62.1C. What is the temperature in Fahrenheit

Answers

Answer:

i don't understand the last one?

if i have a dog and she weighs 31.8 kilograms how many grams is equivalent to 31.8 kilograms

Answers

Answer:31800grams

Step-by-step explanation:

For what value(s) of b will cause 6x^2+bx-7=0 to have two real number solutions

Answers

Answer:

B  can be All real values.

Step-by-step explanation:

The discriminant = b^2 - 4*6*-7 > 0

b^2 + 168 > 0

b^2 > -168

All values of b will be > 0.

Simplify: ( 3x + 4xy + 6y ) + ( 4y - 2x + 3xy )

Answers

Answer:

x + 7xy + 10y

Step-by-step explanation:

Remove parenthesis:

3x + 4xy + 6y + 4y - 2x + 3xy

Group like terms:

3x + 4xy + 6y + 4y - 2x + 3xy

x + 4xy + 6y + 4y + 3xy

x + 7xy + 6y + 4y

x + 7xy + 10y

hope this helps!

Use the information to answer the question.
A rectangular prism has a volume of 768 cubic inches. The area of the base of the rectangular prism is 48 square inches.
What is the height of the rectangular prism? Enter the answer in the box.​

Answers

Answer:

16 inches

Step-by-step explanation:

Took the test

Hope this helps <3

Please thank if i got it right <3

f(x) = x + 2 g(x) = 3x^2 - 5. find ( f-g )(x)

Answers

Step-by-step explanation:

(f o g)(x)

= f(3x² - 5)

= (3x² - 5) + 2

= 3x² - 3.

[tex]\text{Given that,}\\\\f(x) =x+2\\\\g(x) = 3x^2 -5\\\\\\(f-g)(x) =f(x) -g(x)\\\\~~~~~~~~~~~~~~=x+2 - 3x^2 +5\\\\~~~~~~~~~~~~~~=-3x^2 +x +7[/tex]

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