f (x) = 2log
(1/4x-5) +6
Find the Inverse

f-1(x) = 120.52–3 + 20
f-1(x) = 4.30.53–6 +5
f-1(x) = 4.30.52–3 + 20
-6
=
=

Answers

Answer 1

Answer:

6 is the answer for the question


Related Questions

WORTH 50 POINTS. The graph represents the journey of a bus from the bus stop to different locations:




Part A: Use complete sentences to describe the motion of the bus in parts 1, 2, 3, 4, and 5 of the journey. (4 points)
Part B: In which parts of the graph is the function increasing, decreasing, and constant? (4 points)
Part C: Is the graph linear or non-linear? Explain your answer. (2 points)

Answers

Answer:

3

Step-by-step explanation:

11

For your job, you often fly between Seattle and Miami. The distance between these cities is 2,724 miles. You earn a free flight after you accumulate 25,000 miles of travel. How many round trips (back and forth) mus!

you make between Seattle and Miami in order to earn a free flight?

b. 5

c. 8

d. 9

e. 10

Answer 5

Answers

Answer:

b

Step-by-step explanation:

one trip = 2724 miles

one round trip = 2 trips = 2724 * 2 = 5448 miles

We want to see how many round trips go into the miles needed for a free flight. We want to see how many times 5448 goes into 25000. To do this, we can use division.

25000/5448 ≈ 4.6

If we only have 4 round trips, it will not be enough for 4.6, so we will not be able to obtain a free flight. If we have 5, we will be able to, as 5 > 4.6

The amount of money in a savings account is an example of which of the following?
a. investment asset
b. liquid asset
C. long term asset
d. use asset

Answers

Answer: b. liquid asset.

The money in your checking account, savings account, or money market account is considered liquid because it can be withdrawn easily to settle liabilities.

A savings account is a liquid asset that can be easily converted into cash. Hence, option b  is correct.

A savings account is considered a liquid asset because it can be easily converted into cash without any significant loss in value.

Unlike long-term assets that may require a lengthy process to convert into cash, such as real estate or investments, savings accounts offer quick access to funds.

This makes them highly liquid and suitable for short-term financial needs. Liquid assets provide individuals with a sense of financial security and flexibility, as they can be readily used to cover emergencies, expenses, or investments.

Overall, a savings account serves as a convenient and safe option for individuals to save and access their money when needed.

Hence, It is an example of a liquid asset which is option b.

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The curve y= 1/3 x⁴ - 4x² -3x has a gradient of -3 at three points.

Find the coordinates of these points.

Answers

Answer:

[tex]\boxed{(0, 0), (\sqrt{6}, -12-3\sqrt{6}), (-\sqrt{6}, -12+3\sqrt{6})}[/tex]

Step-by-step explanation:

Step 1: Take the derivative of the function with respect to x

[tex]\frac{d}{dx} (\frac{1}{3}x^4-4x^2-3x)\\=\frac{d}{dx} (\frac{1}{3}x^4)-\frac{d}{dx}(4x^2)-\frac{d}{dx}(3x)\\=\frac{4}{3}x^3-8x-3[/tex]

Now, you have the gradient of every point given the x value. We want the gradient to be -3, so,

Step 2: Set the derivative of the function equal to -3 and solve for x

[tex]\frac{4}{3}x^3-8x-3=-3\\\frac{4}{3}x^3-8x=0\\4x(\frac{1}{3}x^2-2)=0\\[/tex]

We can see that one solution is x=0.

The other 2 solutions are:

[tex]\frac{1}{3}x^2-2=0\\\frac{1}{3}x^2=2\\x^2=6\\x=\sqrt{6}, x=-\sqrt{6}[/tex]

Now that we found out the x value, we can plug it in back to the equation to find their respective y value:

x=0: y=0

x=sqrt(6): y=-12-3sqrt(6)

x=-sqrt(6): y=-12+3sqrt(6)

Hence we have our answer.

b) Abus covers 270 km distance in 6 hours. (i) Find the speed of the bus in km per bour. (ii) How many kilometres does it travel in 9 hours at the same speed ?in full languages

Answers

Answer:

(i)= 45 KPH, (ii) = 251 miles

Step-by-step explanation:

'Per' essentially means divide. Thus, to find Kilometres per hour, divide 270 by 6= 45. The bus is travelling at 45 KPH.

Then, to see how far a nine hour trip would cover, distance = speed * time =  251 miles.

Answer:

Below.

Step-by-step explanation:

(i) Speed of the bus = 270/6 = 45 km/hour.

(ii) In 9 hours it travels 45 * 9 = 405 km.

Help help help math math math

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I need help with this

Answers

240 because i am smart and also nice pencil

Step-by-step explanation:

Identify the digit in the ten thousandths place in every number.
1.) 12.00535
2.)54.01247
3.) 3.98056
4.) 0.00667
5.) 70.70071
6.) 0.07889
7.) 10.00898​

Answers

Answer:

Step-by-step explanation:

The decimal point will help you find your way here. Just to the right of the decimal is the tenths place. 0.4 is the number four tenths.

Next, farther to the right is the hundredths place-- 0.04 is the number four hundredths.

Next over is the thousandths place-- 0.004 is the number four thousandths. And finally, the next over is the ten thousandths place...like this, 0.0004 is the number four ten thousandths

So, 1) 12.00535 has a one in the tens place, a two in the ones place, zeros in the tenths and also the hundredths places, fives in the thousandths place and also the hundred thousandths place, AND, what you're looking for-- a 3 in the ten thousandths place.

1) 3

2) 4

3) 5

4) 6

5) 7

6) 8

7) 9

For ten thousandths place, you're looking at the fourth spot on the right side of the decimal.

Describe the functions plz and thank u<3also 50pts

Answers

Answer:

See below

Step-by-step explanation:

Given function:

y = 1/2|x + 3| + 2

This is a transformation of the absolute value function y = |x|.

The transformations are:

1. Dilation by a scale factor of 1/22. Translation left by 3 units3. Translation up by 2 points

The locator point is the vertex:  (-3, 2)

Domain is any value: x = (- ∞, + ∞)

Range is anything not less than 2: y ≥ 2 or y = [2, + ∞)

See the graph attached

find the value of 7u+7 given that -3u-5=4

Answers

The value of u in 7u + 7 is 0.81

Angles A,D and G are congruent, and angles c, f and j are congruent. What is the mesure of angle E?​

Answers

Answer:

60

Step-by-step explanation:

Since the angles A, D, and G are congruent then sum of given angles is eaqual to 180 degrees

x + 20 + 2x + x  = 180 add like terms

4x + 20 = 180 subtract 20 from both sides

4x = 160 divide both sides by 4

x = 40

Angles B, E, and H are congruent so E is also  = x + 20 and x = 40 so angle E = 60

The vertices of quadrilateral PQRS are listed.

P(3,7), Q(6,-2), R(0,-4), S(-3,5)
Which of the following is the strongest classification that identifies quadrilateral PQRS
A.
Quadrilateral PQRS is a square.
B.
Quadrilateral PQRS is a trapezoid.
C.
Quadrilateral PQRS is a rectangle.
D.
Quadrilateral PQRS is a parallelogram.

Answers

Answer:

It's C. for plato. It's a rectangle

Step-by-step explanation:

FILE BELOW

Answer:

its a rectangle .

Step-by-step explanation:

2(3x-12)=6(x-2)

PLEASE HELP!!!

Answers

ANSWER: There are no solutions

Last year, 50 students attended the movie night. This year, 65 students attended the movie night. fine the percent of increase in the number of students who attended the movie night.

Answers

Answer: 30%

Step-by-step explanation:

It increased by 15 so it increased by 15/50=30/100=30%

I hope this helped!

Consider the triangle below.
M
(15x + 5)º
--
(3x + 2)
(5x - 11)
N
Determine the measure of angle P.
Р
mZP
degrees

Answers

The measure of angle P is 29 degrees

The sum of an interior angle of a triangle is 180 degrees. Given the following parameters:

m<M = 15x + 5m<N = 3x + 2m<P = 5x - 11

Taking the sum and equating to 180 degrees:

m<M + m<N + m<P = 180 degrees

15x + 5 + 3x + 2 + 5x - 11 = 180

23x - 4 = 180

23x = 184

x = 184/23

x = 8

Get the measure of m<P

m<P = 5x - 11

m<P = 5(8) - 11

m<P = 40 - 11

m<P = 29 degrees

Hence the measure of angle P is 29 degrees

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What is 7C3? Thanks.

Answers

Answer:

C7,3=7!( 3!)( 7−3)!= 7! I think tell me if I'm wrong?

Answer:

7C3 = 7! / (7 - 3)! 3! = 7 x 6 x 5 x 4! / 4!

How do I fully simplify this?

Answers

10xy+2y+8x+7

Explanation
3xy + 4xy + 3xy = 10xy
The others cant be simplified so

10xy + 2y + 8x + 7

What is the greatest common factor shared by 70 and 15?
Answer here
SUBMIT

Answers

The answer is 5
Step by step explaination

Answer:

The greatest common factor of 70 and 15 is 5.

Step-by-step explanation:

First, list the prime factors for each individual number

Next, circle each common prime factor. This means that you must find the prime factors that are the same as each other. For example, if it's 1 3 4 and 2 3 5, the common prime factor would be 3.

Finally, you must multiply all of the common prime factors. Your answer will be the greatest common factor!

So, the greatest common factor of 70 and 15 is 5.

The temperature is -8 degrees Fahrenheit. The height pressure front increases the temperature to 7 degrees Fahrenheit. By how many degrees did the temperature increase.

(Please show work and explanation)

Answers

Answer:

3 dregreess 5 degrees temperature

Don Swifter earns $9.75 per hour as a clerk. He starts work Monday through Friday morning at 8:00 AM. He takes a one-half hour lunch break every day. If he finishes work at 3:30 PM Monday through Thursday, how late must he work on Friday to have total pay of $360.75 for the week?

Answers

Answer:

He works until 5:30.

Step-by-step explanation:

ok so first, every day don would take a total of 7 hours and 30 minutes on mon-Thurs. If we subtract his lunch from that total it would be 7 hours so next we do 7 hours times 9.75 which is 68.25$. Now that we know how much he makes per day, we times that by 4 since mon-thurs is 4 days. This would be 273$. Now we need to get to 360.75 so we subtract that. This would be 87.75$. Now if a normal day is 68.25$ and friday is 87.75, we find the diffrence which is 19.50. which is also 9.75(an hour) x 2 resulting in 2 hours extra. Therefore, he works 9 hours and 30 minutes on fridays (until 5:30). Thanks for putting in the work to understand and have a nice day!

Don must work approximately 9 additional hours on Friday to have a total pay of $360.75 for the week.

How to determine how late he must work

Don works from 8:00 AM to 3:30 PM Monday through Thursday. Let's calculate his total work hours for these four days:

Total work hours from Monday to Thursday:

(3:30 PM - 8:00 AM) - 0.5 hours (lunch break)

= 7.5 hours - 0.5 hours

= 7 hours (per day)

Total work hours for the week (Monday to Thursday):

4 days x 7 hours/day = 28 hours

Total pay for the week = Hourly rate x Total work hours + Additional hours on Friday

$360.75 = $9.75 x 28 hours + Additional hours on Friday

Additional hours on Friday = ($360.75 - $9.75 x 28) / $9.75

Additional hours on Friday = ($360.75 - $273) / $9.75

Additional hours on Friday = $87.75 / $9.75

Additional hours on Friday ≈ 9 hours (rounded to the nearest hour)

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2) through: (-4, 5) and (-5,0
what is the slope intercept form of the line

Answers

Answer:

hello

Step-by-step explanation:

say hell-o

Solve the equation for​ z, where z is restricted to the given interval.

[tex]y=7sinz[/tex], for z in [tex][-\frac{\pi }{2}, \frac{\pi }{2} ][/tex]

Answers

[tex]y = 7sin(z)\implies 0 = 7sin(z)\implies 0=sin(z)\implies sin^{-1}(0)=sin^{-1}[sin(z)] \\\\\\ sin^{-1}(0)=z\implies 0=z[/tex]

Given f(x) = x + 2, describe how setting k = 4 affects the slope and y-intercept of the graph of g compared to the graph of f.
g(x) = (4x) + 2
g(x)=4(x+2)

Answers

Answer:

g(2)=(4x) +2=7y

g(3)=4(x+2)

Zachery sold 85 shares of stock for $65 a share. He paid $43 for it three years ago. How much was his capital gain?

Answers

Answer:

85*65=5525

85*43=3655

5525-3655=1870

Hope This Helps!!!

The capital gain would be 1870

LAST ATTEMPT !! MARKING AS BRAINIEST!!

Answers

I can’t see the picture very well

Pleaseeeee heeeeelp!!!

Answers

The answer is
A=35
B=14
C=5

Answer:

a=35 b=14 c=5

Step-by-step explanation:

a

180-55-90=35

b

b+6=20

b=14

c

4c-6=14

14+6=20

20/4=5

The normal price of a television is reduced by 30% in a sale. The sale price of the television is £350 Work out the normal price of the television?​

Answers

Answer:

$245

Step-by-step explanation:

0.7 * 350 = 245

The normal price of the television, if The normal price of a television is reduced by 30% in a sale, The sale price of the television is £350, is £500.

What is the sale price?

The price at which something sells or is purchased following a price reduction. The cost that something is sold for. In other words, the price at which something is sold to a customer is called the sale price

Given:

The normal price of a television is reduced by 30% in a sale,

The sale price of the television is £350,

Write the equation of the above statement as shown below,

Normal price - 30% of normal price = Sale price

Substitute the value,

Normal price(1 - 0.30) = £350  

Normal price = 350 / 0.7

Normal price = £500

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Find the expected value of the winnings from a game that has the following payout probability distribution: Payout ($) 1 2 5 8 10 Probability 0.35 0.2 0.1 0.2 0.15 = Expected Value = [?] Round to the nearest hundredth. Enter​

Answers

Multiply each payout by the corresponding probability, and add these up:

1•0.35 + 2•0.2 + 5•0.1 + 8•0.2 + 10•0.15 = 4.35

So one can expect to win $4.35 from playing the game.

4. The population of a town is modeled by the equation P = 3485e

0.125

, where "P"

represents the population as of the year 2000.

• According to the model, what will the population of the town be in 2010?

In approximately what year will the population reach 50,000 people?

Must answer and show appropriate work for both questions here.

Student's Work

Student's Answer

A. Part A: 11,571 people in 2010

Part B: approx. 22 years

B. Part A: 38,416 people in 2010

Part B: approx. 13 years

C. Part A: 11,571 people in 2010;

Answers

The population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

The population model is given as:

[tex]P(x) = 3485e^{0.125x}[/tex]

(a) The population in 2010

In 2010, the value of x is 10.

So, we have:

[tex]P(10) = 3485 * e^{(0.125 \times 10)}[/tex]

Evaluate the exponent

[tex]P(10) = 3485 * e^{(1.25)}[/tex]

This gives

[tex]P(10) = 121634[/tex]

(b) Year to reach 50000

This means that P = 50000.

So, we have:

[tex]50000 = 3485e^{0.125x}[/tex]

Divide both sides of the equation by 3485

[tex]14.35 = e^{0.125x}[/tex]

Take natural logarithm of both sides

[tex]\ln(14.35) =0.125x[/tex]

[tex]2.66 =0.125x[/tex]

Divide both sides by 0.125

[tex]21.28 = x[/tex]

Rewrite as:

[tex]x =21.28[/tex]

Approximate

[tex]x =21[/tex]

Hence, the population of the town be in 2010 will be 121634, and it will take 21 years for the population to get to 50000

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At Howard High School, 6% of the students ride bikes to school. If 950 students attend Howard High School, how many students ride a bike to school?

I need the answer like rn...

Answers

Answer:

19 students ride a bike to school

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