Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-fifth x minus four-fifths? f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths

Answers

Answer 1

Answer:

The inverse of the function is [tex]g (x)=-5x-4[/tex].

Step-by-step explanation:

The function provided is:

[tex]f^{-1}(x)=-\frac{1}{5}\ x-\frac{4}{5}[/tex]

Let us assume that:

[tex]y=f^{-1}(x)[/tex]

Then the equation will be:

[tex]y=\frac{-x-4}{5}[/tex]

To compute the inverse of the function substitute x as y and y as x.

[tex]x=\frac{-y-4}{5}[/tex]

Now solve for y as follows:

[tex]x=\frac{-y-4}{5}[/tex]

[tex]5x=-y-4[/tex]

[tex]y=-5x-4[/tex]

Thus, the inverse of the function is [tex]g (x)=-5x-4[/tex].

Answer 2

Answer:

The answer is "-5x-4"

Step-by-step explanation:

Given:

[tex]\bold{f^{-1} (x)=(-\frac{1x}{5}-\frac{4}{5})}[/tex]

solve the above equation:

[tex]\to f^{-1}(x)= \frac{-x-4}{5}\\\\\to f^{-1}(x)= -\frac{x+4}{5}\\[/tex]

Let

[tex]y= f^{-1} x= -(\frac{x+4}{5})\\\\[/tex]

inverse the above function:

[tex]\to x= -(\frac{y+4}{5})\\\\\to 5x= -(y+4)\\\\\to 5x= -y-4\\\\\to\boxed {y=-5x-4}\\\\[/tex]


Related Questions

yo plz help asap!! marking brainiest!!

Answers

The first one is x^2 -9x +20
The second one is x^2 -12x +20
The third one is x^2 +x -20
The fourth one is x^2 - 8x -20

Answer:

1) a²-9a+20

2)a²-12a+20

3)a²+a-20

4)a²-8a-20

Step-by-step explanation:

use (foil)

front

outside

inside

last

Find Four Solutions For the following Linear equations in two variables: y = 5x

Answers

Answer:

see explanation

Step-by-step explanation:

To find solutions to the equation, choose any value for x, substitute into the equation and evaluate for y, that is

x = - 1 → y = 5(- 1) = - 5 ⇒ (- 1, - 5 )

x = 0 → y = 5(0) = 0 ⇒ (0, 0 )

x = 1 → y = 5(1) = 5 ⇒ (1, 5 )

x = 5 → y = 5(5) = 25 ⇒ (5, 25 )

Thus 4 solutions are

(- 1, - 5), (0, 0), (1, 5), (5, 25)

PLZ HLP MEEEEEEEEEEEEEEE

the table below shows what 300 boxer students ate for lunch on friday. what is the ratio of the number of students who ate soup to the number of students who did not eat soup?

Answers

Answer:

B

Step-by-step explanation:

1/4 = the ratio 60/240

What is the volume on a cone if the height is 12cm and the radius is 2cm

Answers

Answer:

[tex]50.27[/tex] [tex]cm[/tex]

Step-by-step explanation:

[tex]\pi r^2h \times 1/3[/tex]

[tex]\pi \times 2^2 \times 12 \times 1/3[/tex]

[tex]\pi \times 4 \times 12 \times 1/3[/tex]

[tex]16\pi[/tex]

[tex]\approx 50.265482[/tex]

Answer:

16π cm^3  or 50.27 cm^3 to the nearest hundredth.

Step-by-step explanation:

V = 1/3 π r^2 h

= 1/3 π 2^2 12

= 16π cm^3.

identify the domain and range of y = 4x - 5 + 3

Answers

Answer:

[tex]\huge\boxed{\text{Domain:}\ D=\mathbb{R}=(-\infty;\ \infty)}\\\boxed{\text{Range:}\ R=\mathbb{R}=(-\infty;\ \infty)}[/tex]

Step-by-step explanation:

y = 4x - 5 + 3 = 4x - 2

It's an equation of a line in the slope-intercept form.

y = 4x - 2 → f(x) = 4x - 2 - it's a lienar function.

The domain of a linear function is the set of all real numbers.

If a slope of linear function is different than 0, then the range is the set of all real numbers.

Answer: negative infinity to infinity and 3 to infinity

Step-by-step explanation:

edge 2023


The perimeter of a rectangular playground shown is 140 feet what is the area of the playground if the length is 40 feet

Answers

This will leave you with

140 = 2(40) + 2x

60 = 2x

30= x



So the length is 30.

What is the volume of the rectangular prism, in cubic cm?
9 cm
4 cm
12 cm

Answers

Answer:

V =432 cm^3

Step-by-step explanation:

The volume is given by

V = l*w*h

V = 9*4*12

V =432 cm^3

82.8cm measured to the nearest tenth of a cm

Answers

Answer:

The answer is already 82.8

Step-by-step explanation:

The .8 is already to the tenth so it is 82.8

Answer: 83.0

Step-by-step explanation:

This is the answer because if you round it to a tenth it is 83.0 and it is closest to a cm

A non-standard (but still fair) die has sides 2, 3, 5, 8, 12, 15, 18 and 20. What is P(roll an odd number)?

Answers

I rolled an odd number and it was 17

Please help quick im timed!!

Answers

Answer: C

Step-by-step explanation:

Make them both equal to 0

Answer:

answer is c

Step-by-step explanation:


A mother duck lines her 13 ducklings up behind her. In how many ways can the ducklings line up?

Answers

Answer:

The answer is 13! which equals 6227020800.

100 points! Whoever can finish this is a god! you have a time limit. 10 min.

Answers

Question 5 Is answer D) 20
Question 8 is skewed left
Question 7 is C
Question 11 is C
Question 12 i’m pretty sure is Quartile *i haven’t done this in a while*
Question 4 is the first Histogram.

Answer:

See explanation

Step-by-step explanation:

Question 11:

The vertical axis goes from 1 to 2 to 4 to 8 to 16 without changing the difference between the blocks, which could be misleading. Therefore, the correct answer is that the vertical scale is not consistent.

Question 12:

Mean absolute deviation

Question 5:

36-16=20

Question 7:

Since the IQR is 6 and 1.5*6=9, both extremes are outliers.

Question 8:

Skewed left

Question 4:

First histogram

Hope this helps!

Part 2. identify the x intercepts for

y = 4(x-5)^2+8​

Answers

Answer:

No solution

Step-by-step explanation:

This function places the parabola above the x axis, so there are no x intercepts

Answer:

B - No solution

Step-by-step explanation:

This equation does not have a x-intercept, making this an equation with no solution.

A ( 10cm height) and B ( 15cm height) are two similar solids the volume of A is 400cm^3 work out the volume of b

Answers

Answer:

1350 cm³

Step-by-step explanation:

Given 2 similar solids with sides in the ratio a : b , then

ratio of volumes = a³ : b³

Here the ratio of heights of A : B = 10 : 15 = 2 : 3 , thus

ratio of volumes A : B = 2³ : 3³ = 8 : 27

let x represent the volume of B then using proportion

[tex]\frac{8}{400}[/tex] = [tex]\frac{27}{x}[/tex] ( cross- multiply )

8x = 10800 ( divide both sides by 8 )

x = 1350

The volume of solid  B = 1350 cm³

What is the reciprocal of 8/12

Answers

Answer: 12/8

Step-by-step explanation:

You just flip it

Answer:

12/8

Step-by-step explanation:

To find a reciprocal of a fraction, just flip the numbers upside down or invert it.    

In other words, swap the numerator over the denominator to get the reciprocal.

Example: 3/4 → 4/3

Have a great day and stay safe!

A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number.

A.0.714 B:0.727 C:0.778 D:286

Answers

Answer:

6/7

Step-by-step explanation:

Total number of jerseys = 4 + 3 = 7

Now, the probability of picking a purple Jersey = number of purple jerseys/total number of jerseys = 3/7

Now let’s look at picking a jersey with even number

Even number jerseys are yellow two and yellow four and also purple two

So we have 3 even numbered jersey. The probability of picking an even numbered jersey is 3/7

In probability, once we have or, we add

The probability of picking an even numbered jersey or a purple jersey = 3/7 + 3/7 = 6/7

Given that m>KLM=120 degrees, which statement about the figure is true?

A.
B.
C.
D.

Answers

The answer is
m∠HLI = m∠ILM

answer this plz to be rater 5 stars

Answers

Answer:

Step-by-step explanation:

3 min 20 seconds = 3*60 + 20 = 180 +20 = 200 seconds

2 min 44 seconds = 2*60 + 44 = 120 + 44 = 164 seconds

Improvement = 200 - 164 = 36 seconds

Percentage =(36/200) *100

                  = 18 %

pls help me with my work

Answers

The answer is D 2n-11

Answer:

I think it is c because the nth term is mostly 2n and 2n - 9 would use one if the terms.

Step-by-step explanation:

Medical statistics indicate that 20% of the population will have cancer in their lifetimes. A group of 12 babies is selected at random. a. What is the probability that exactly 5 in the group will get cancer in their lifetime? b. What is the probability that at least 5 will get cancer in their lifetime? Record the answer to four decimal places (x.Xxxx)

Answers

Answer:

a. 5.3%

b. 7.3%

Step-by-step explanation:

we have to:

n = 12

p = 0.2

q = 1 - 0.2 = 0.8

We apply the binomial formula:

p (x) = nCx * p ^ x * p ^ (n-x)

a. P (x = 5) = 12C5 * 0.2 ^ 5 * 0.8 ^ (12-5)

12C5 = 12! / (5! * (12 -5)!) = 792

P (x = 5) = 792 * 0.2 ^ 5 * 0.8 ^ (12-5)

P (x = 5) = 0.053

which means that the probability is 5.3%

b. P (x => 5) = 1 - p (x <5)

P (x => 5) = 1 - p (x <= 4)

P (x => 5) = 1 - [P (x = 0) + P (x = 1) + P (x = 2) + P (x = 3) + P (x = 4)]

P (x = 0) = 12C0 * 0.2 ^ 0 * 0.8 ^ (12-0) = 0.069

P (x = 1) = 12C1 * 0.2 ^ 1 * 0.8 ^ (12-1) = 0.206

P (x = 2) = 12C2 * 0.2 ^ 2 * 0.8 ^ (12-2) = 0.283

P (x = 3) = 12C3 * 0.2 ^ 3 * 0.8 ^ (12-3) = 0.236

P (x = 4) = 12C4 * 0.2 ^ 4 * 0.8 ^ (12-4) = 0.133

replacing:

P (x => 5) = 1 - [0.069 + 0.206 + 0.283 + 0.236 + 0.133]

P (x => 5) = 1 - 0.927

P (x => 5) = 0.073

Which means that the probability is 7.3%

Someone who actually knows what they doing please ‍♀️

Answers

Answer:

5/9 (F-32) = 25

Step-by-step explanation:

5/9 (F-32) = C

Multiply each side by 9/5

5/9 * 9/5 (F-32) =9/5 C

F -32 = 9/5 C

Add 32

F -32 +32 = 9/5 C +32

F = 9/5 C +32

We want 25 C to Fahrenheit

F = 9/5 *25 +32

F = 9*5 +32

F = 45+32

F = 77

Three friend went out to eat pizza. Their pizza costs 15.63 and drinks cost 1.29 each. Salad costs 2.45. If they plan to share the cost of the pizza.How much will each person pay? Plz helppp

Answers

Answer:

Friend 1: $11.53 Frind 2: $5.21 Friend 3: $5.21

Step-by-step explanation:

15.63/3=5.21

One friend pays for the rest.

1.29*3=$3.87=drinks

salad=$2.45

5.21+3.87+2.45=11.53

Answer:
Each person will pay $5.21 when they split the cost of the pizza. Each person will pay $8.95 when for their individual order (a drink, a salad, & their cut of the pizza).


Explanation:
We will start by finding out how much each person will pay for the pizza ONLY. To do that we divide the cost of the pizza by the number of people intending to pay.

15.63 / 3 = 5.21

So, each person will pay $5.21 for the pizza.

Next, we are going to find the total cost of one person order. This time we will be adding how much they will be paying for the pizza with the costs of their drink and salad.

5.21 + 1.29 + 2.45 = 8.95

Therefore, each person will pay $8.95 for their order.


Esmeralda has decided that every month, for as long as she can
afford it, she's going to donate $250 to a charity that helps fund
research on treatments for cancer. Esmeralda sticks to her word and
continues donating for 2 years. Determine how many more months she
can afford to donate if the starting balance of the account is $8,000.

Answers

Answer:

8 months more

Step-by-step explanation:

first calculated how many months total she can donate: 8000/250 = 32 months

2 years has 24 months

subtract 32 with 24 which is 8 and that is how many months left that she can donate

1/3 of 6 1/2 multiply 3/4 (56 divide by 7) pls help me

Answers

Answer:

1/3 of 13/2 * 3/4(56/7)

= 1/3 of 13/2 * 3/4*8

= 13/6 * 3/4*8

= 13/6 *6

= 13

Hope this helps.

Solve for k. a/b=b/a+1/k

Answers

Answer:

k = ab/ ( a^2 - b^2)

Step-by-step explanation:

a/b=b/a+1/k

Multiply each side by abk to get rid of the fractions

abk *a/b=abk(b/a+1/k)

a^2k = b^2k + ab

Subtract b^2k from each side

a^2k - b^2k = b^2k - b^2k + ab

a^2 k - b^2 k = ab

Factor out k

k( a^2 - b^2) = ab

Divide each side by ( a^2 - b^2)

k( a^2 - b^2)/  ( a^2 - b^2) = ab/ ( a^2 - b^2)

k = ab/ ( a^2 - b^2)

Answer: K= ab/(a+b)(a-b)

Tomas works as an underwater photographer. He starts at a depth of 20 feet, ascends 9 feet, descends 12 feet, and then descends 15 feet more. What is the diver's final depth?

Answers

Answer:

38 feet

Step-by-step explanation:

Which equation can you use to calculate the
missing credit score?
*-780
1.07
28
x - 28
780=
1.07
28 =
x-1.07
780

Answers

Answer:

1.07=x-780/28

Step-by-step explanation:

Miss credit score: 810

Answer:

810

Step-by-step explanation:

5. Find the volume:
6.8 m
9.2 m
6.2 m​

Answers

Answer:

387.872

Step-by-step explanation:

to find volume you have to multiply the length times width times height so that's what I did to get the answer.

Describe the relationship between the area of a circle and its circumference.
The is times the times the circumference.

Answers

Answer:

The area is twice the circumference

Area = 2 * circumference

Step-by-step explanation:

Proof:

r = 2

Circumference = 2[tex]\pi[/tex]r

Circumference = 12.566

Area = [tex]\pi[/tex]r^2

Area = 25.132

25.132/12.566 ≈ 2

Answer:

the (area) is (1/2) times the (radius) times the circumference.

Step-by-step explanation:

i dont know how to explain it exactly but i found the cerect answer.

-1 1/8 - 5/8 answer plz

Answers

Answer:

-1 6/8

Step-by-step explanation:

Answer:

-2 answer this is 100% correct

Step-by-step explanation:

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