Mathematics High School

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

Answers

Answer 1

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer 2

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

Related Questions

Which of the following expressions is equivalent to 4^-3?

Answers

Answer:

x(12y+4)

Step-by-step explanation:

Chris got 28 out of 35 correct in his test.
What fraction of the marks did he get correct?

Answers

Answer:

4/5

Step-by-step explanation:

28/35=4/5 You simply put the number he got over the original then simplify.

a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number

Answers

I uploaded the answer to a file hosting. Here's link:

tinyurl.com/wpazsebu

Jaden's batting average is .214. Raul hits 24.3% of his pitches. Abraham hit 2 out of the 9 balls he was pitched. Mark hit 22% of the balls he was pitched. Who has the greatest batting average? Who has the least batting average?

Answers

Answer:

Raul has greatest batting average. Jaden has least batting average.

Step-by-step explanation:

Convert all the batting averages to a single unit so that comparison is easier.

Use percentages.

Jaden batting average:

= 0.214 = 214/1,000 = 21.4%

Raul = 24.3%

Abraham:

= 2 / 9 * 100%

= 22.2%

Mark = 22%

Raul has the greatest batting average.

Jaden has the least batting average.

HELP ME PLEASE!!!! I am failing this class and don’t know what to do.

Answers

i have to do formative assignments too

PLS USE the information given! DONT GUESS!
Write the equation of the circle.

A: (x+3)2+(y−6)2= 2

B: (x−3)2+(y+6)2= 2

C: (x+3)2+(y−6)2= 4

D: (x−3)2+(y+6)2= 4

Answers

Answer:

C. (x + 3)² + (y - 6)² = 4

Step-by-step explanation:

Get the center and radius from the graph.

Center is: (-3, 6)Radius is: 2

Use the circle formula:

(x - h)² + (y - k)² = r²

We have:

h = -3, k = 6, r = 2

Substitute and get the equation:

(x - (-3))² + (y - 6)² = 2² ⇒(x + 3)² + (y - 6)² = 4

Correct choice is C

Help me I’m lost I’ve been stuck on this the pas 20 min anyone help

Answers

Answer:

I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.

Perform the indicated operation. (16 m2 + 40 m + 25) ÷ (4 m + 5) = _____

Answers

Answer:

hope it will help u in understanding..

if u r able to understand thn mrk it as brainliest.

Drag tiles to describe each fraction Tiles may be used once, more than once, or not at all.

Answers

Answer:

1/3 is less than 2/3

7/9 is greater than 2/3

4/10 is less than 2/3

4/6 is equal to 2/3

Jason a 4 lengths of rope. The lengths are 3 inches, 15 centimeters, 0.3 meters, and 0.5 feet. About how much rope does Jason have [1 inch = 2.5 cm]

Answers

Answer: 67.5 cm

Step-by-step explanation:

Jason has 4 lengths of ropes

first is [tex]3\ in.\approx 7.5\ cm[/tex]

second is [tex]15\ cm[/tex]

Third is [tex]0.3\ m\approx 30\ cm\quad [\text{1 m = 100 cm}][/tex]

fourth is [tex]0.5\ ft\approx 6\ in.\approx 15\ cm\quad [\text{1 ft=12 in.}][/tex]

the total length of rope is the sum of four lengths

[tex]\Rightarrow 7.5+15+30+15=67.5\ cm[/tex]

5.solve for x 6. solve for x

Answers

Answer:

x=10 , x=13

Steps:

4x+5x=180-90

9x=90

x=90/9

x=10

(3x+7)+(2x+3)=180-105

5x+10=75

5x=65

x=65/5

x=13

Step-by-step explanation:

☯ [tex] \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T\: I \: O \: N}}}} : [/tex]

✰ [tex] \underline{ \underline{ \large{ \text{For \: Question \: Number \: 5}}}} : [/tex]

[tex] \large{ \tt{90 \degree + 4x \degree + 5x \degree = 180 \degree}}[/tex] [ Sum of angle in a triangle ]

⤑ [tex] \large{ \tt{90 \degree + 9x \degree = 180 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 180 \degree - 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{9x \degree = 90 \degree}}[/tex]

⤑ [tex] \large{ \tt{ \frac{9x}{9} = \frac{90}{9} \degree}}[/tex]

⤑ [tex] \boxed{ \large{ \tt{x = 10 \degree}}}[/tex]

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

✰ [tex] \underline{ \underline{ \text{For \: Question \: Number \: 6}}} : [/tex]

[tex] \large{ \tt{75 \degree = 3x \degree + 7 \degree + 2x \degree + 3 \degree}}[/tex] [ Exterior angle is equal to the sum of two non-adjacent interior angles ]

⟶ [tex] \large{ \tt{75 \degree = 5x \degree + 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree \: + 10 \degree = 75 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 75 \degree - 10 \degree}}[/tex]

⟶ [tex] \large{ \tt{5x \degree = 65 \degree}}[/tex]

⟶ [tex] \large{ \tt{ \frac{5x}{5} = \frac{65}{5} \degree}}[/tex]

⟶ [tex] \boxed{\large{ \tt{x = 13 \degree}}}[/tex]

Hope I helped ! ✧

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer!

[tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

pls help 30 pts.... answer correctly pls

Answers

It would 1/78 fraction

I know the answer is 1 but I need to show it with positive and negative tiles and I don’t know what to put.
Draw Algebra Tiles to help you solve the following question:
4 - (-5) =

Answers

Answer and Step-by-step explanation:

So, the negatives cancel and turn into a positive.

The red squared of 5 become green squares.

please also answer this one rlly fast!!

Answers

Answer:

Step-by-step explanation:

1 ÷ 0.25 = 4

Help plz I have time and I need to show work

Answers

21 I think but I was just guessing

I suck at math lololol

Answers

2 and 4

Step-by-step explanation:

This image shows an example on corresponding angles.

Answer:

Angle 2 and 4

PLEASE HELP ASAPPPPPP!!!!!!!!!!!!

Answers

Answer:

324

Step-by-step explanation:

divide 752 by 2 to get 376

then subtract 52 from 376 to get 324

Find the unknown length x in the right triangle, to the nearest tenth.
D
26
F
Х
55
E
What is the length for x

Answers

sin55 = x/26

26sin55 = x

x = 21.298

help help
Prove the following:
[tex] \sf\frac{ \tan( \theta) }{1 - \cot( \theta) } + \frac{ \cot( \theta) }{ 1 - \tan( \theta) } = \sec( \theta) \cdot \: \csc( \theta) + 1[/tex]
[tex]\text{note: explanation is obvious}[/tex]

Answers

Answer:

the pictures are attachedplease see the explanation in the attached picture

Answer:

note:[tex]\theta =y[/tex]

Your answer is in the attachment.

we have

siny(cosy-siny)

taking - common from this

-siny(-cosy+siny)

-sin y(siny-cosy)

y = 2x
x = -y + 6

help meee !

Answers

Answer:

x = 2

y = 4

Step-by-step explanation:

y = 2x

x = -y + 6, y = 6 - x

substitute for y:

2x = 6 - x

3x = 6

x = 2

y = 4

77777777777777777777777777777

Does anyone know what the rule for the 2 and 3 table could be

Answers

Answer:

table 2= could be multiply each of the numbers by 4

table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.

Step-by-step explanation:

PLEASE HELP!!! TIMED <33 WILL GIVE BRAINLIST. Evaluate the function requested. Write your answer as a fraction in lowest terms. Triangle A B C. Angle C is 90 degrees. Hypotenuse A B is 45, side C B is 36, side C A is 27. Find sin A. a. Sine A = four-fifths c. sine A = five-fourths b. sine A = four-thirds d. sine A = three-fifths

Answers

Answer:

sin A = perpendicular /hypotenuse

=36/27=12/9=4/3

Answer:

Its C.

Step-by-step explanation:

HELLLLLLLLLLLLLLLLLPPPPPPPPPPPP 10 POINTS anD BRAINIESt

Answers

Answer:

35.859375?

Step-by-step explanation: ;-;

I have 8 pennies and some quarters, nickels, and dimes. The number of pennies plus nickels equals the number of dimes. I have 3 quarters for every 2 pennies and 3 dimes for every 2 quarters. How many coins are nickels? A. 28 B. 18 C. 15 D. 10

Answers

The answer is D. 10 nickels

Answer:

The answer is D.) 10

Step-by-step explanation:

I took a quiz and according to that its correct

HELP
What is an equation of the line that passes through the points (-6, 2) and (6, –2)?

Answers

Answer:

y=(-1/3)x

Step-by-step explanation:

y=mx+b

(x,y)

put in the first point into y=mx+b

2=m(-6)+b

then the second point is (6,-2)

put the point into y=mx+b

-2=6m+b

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

Put both equations in a system of equations

-2=6m+b

2=m(-6)+b

solve for m and b

-1/3=m and 0=b

so put that back into y=mx+b

y=(-1/3)x+0

so that is the only line that passes through both points

Part A: Xavier needs to collect at least 120 cans for a food drive to earn community service credit. He has already collected 64 items. Choose the correctly written inequality to represent the number of cans, c, that Xavier must still collect (before solving)
A 64 + c ≥ 120
B 64 + c < 120
C c - 120 ≤ 64

Answers

Answer:

Step-by-step explanation:

He needs to collect at least 120 so if c is what he must still collect

64 +c must be greater than or equal to 120

factor the polynomial
4x^2 + 12 + 9

Answers

Answer:

The answer is [tex](2x+3)^2[/tex].

Step-by-step explanation:

Multiply the coefficient of the squared term and the constant. Then, find the factors that add up to 12:

[tex]4*9=36\\36:\{1*36,2*18,3*12,4*9,6*6\}\\6+6=12[/tex]

Split the middle term:

[tex]4x^2+6x+6x+9[/tex]

Factor by grouping:

[tex][4x^2+6x]+[6x+9]\\2x(2x+3)+3(2x+3)\\(2x+3)(2x+3)\\(2x+3)^2[/tex]

(4th grade math)
Please help.

Answers

Answer:

Step-by-step explanation:

Answer:

last one under H

Step-by-step explanation:

you want to look at which table says +27 under the value tab since that is what the question is looking for. the table under option H has those requirements so pick that one

can someone please help me to do this?