Find the inverse of the function f(x) = 3 − 4( x/2− 1/2).
Simplify your answer.

Answers

Answer 1

Answer:

[tex]f^{-1} (x)=-\frac{x}{2} +\frac{5}{2}[/tex]

Step-by-step explanation:

To find the inverse, interchange the variables and solve for y.

Replace x and y,  to find inverse function f , and compute the resulting equation for x.

there will be more than one inverse if the elementary function is not one-to-one.

So, exchange the variable: [tex]y=5-2x[/tex] becomes [tex]x=5-2y[/tex]

Now, solve the equation: [tex]x=5-2y[/tex] for y

[tex]y=\frac{5}{2} -\frac{x}{2}[/tex]


Related Questions

Given: SAO=30, SO ⊥ AO, SO=10. Find: V
look at link correct answer get brainliest

Answers

Answer:

1000π

Step-by-step explanation:

π(r^2*h/3)=volume of cone

π(10√3^2*10/3)

10√3 is from using 30 60 90 Triangle to find AO

50 points + brainliest

Choose A B C or D for problems 1,2,3,4
*No explanation needed*
TY:))

Answers

Answer:

Can't see problem 1

2. C.

3. A.

4. C.

Step-by-step explanation:

Hope this helps!

The exterior angle of a regular polygon is an 1/8 of the interioris angle How many sides does the regular polygon have ?​

Answers

Answer:

18 sides

Step-by-step explanation:

We know the interior and exterior angles are supplementary.

Let the exterior angle be x, then the interior angle is 8x.

We have:

x + 8x = 1809x = 180x = 20

We now have the exterior angle measure and we know the sum of all of them is 360°.

Find the number of sides:

n = 360/20 = 18

an iron wire bent in the shape of parabola has rectum of length 60cm what is it's focal length?​

Answers

Answer:

70cm

Step-by-step explanation:

PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY

How can I use an equation with a single unknown to help understand with my billing

Answers

Answer:

U just said a random thing

Step-by-step explanation:

In how many ways can 3 oaks, 4 pines, and 2 maples be arranged along a property line if one does not distinguish among trees of the same kind?

Answers

Total number of ways to arrange the given trees is equals to 24ways.

What is combination?

" Combination is defined as total number of ways arrangement made without considering the order."

Formula used

Fundamental principle of counting

First group has 'm' objects

second group has 'n' objects

Total number of ways objects can be arranged  =m × n

According to the question,

Number of oak trees = 3

Number of pines tree = 4

Number of maples trees = 2

Substitute the given values in the formula we get,

Total number of ways to arrange the given trees = 3 × 4 × 2

                                                                                  = 24ways

Hence, total number of ways to arrange the given trees is equals to 24ways.

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How do I find the ordered pair with an x-value of 2, for the equation f(x)=4x-1? What is the ordered pair? urgent please

Answers

Answer:

(2,7)

Step-by-step explanation:

Plug in 2 for x for f(x)

[tex]4(2) - 1 = 7[/tex]

So the answer will be (2,7)

choose the sentence that complete the fact family like 14÷7=2 7×2=14 14÷2=7 is it a 14×1=14 b 14×2=28 c 2×7=14 d 2×14=28 is it abc or d​

Answers

Answer: 2x7=14

Step-by-step explanation:

There are only three numbers that go with each equation, all you have to do is eliminate the ones that don't match.

According to reports, 30% of American adults have chronic insomnia. If 3 American adults are chosen at random, what is the probability that all 3 have chronic insomnia?

Answers

The probability that the three people have chronic insomnia is the likelihood of people having chronic insomnia

The probability that the three people have chronic insomnia is 0.027

How to determine the probability

The proportion of people with chronic insomnia is given as:

p = 30%

Given that three people are selected, the probability that the three people have chronic insomnia is calculated as:

[tex]P(3) = p^3[/tex]

So, we have:

[tex]P(3) = (30\%)^3[/tex]

Evaluate the exponent

[tex]P(3) = 0.027[/tex]

Hence, the probability that the three people have chronic insomnia is 0.027

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Two friends go to the diner and order the following they have 10% off coupon

Answers

2 waffles with butter - $11.98
1 side of sausage- $1.99
1 latte- $4.25
2 orange juice- $4.00
Subtotal- $22.22
Coupon- $19.98

Blake is working his way through school. He works two part-time jobs for a total of 22 hours a week. Job A pays $5.70 per hour, and Job B pays $7.30 per hour. How many hours did he work at each job the week that he made $141.40.

Answers

Answer:

Job A= 12hrs and Job B= 10hrs

Step-by-step explanation:

first u need to make 2 equations, with 2 variables and the pay per hour for both jobs and let the first equal to the total pay at the end of the week

5.7x + 7.3y = 141.4

then the 2nd equation, let it equal to the total hours worked:

x + y = 22

you then make one of the variables the subject of the formula:

x= 22 - y

and substitute that formula into the first equation you would've made:

5.7(22-y) + 7.3y = 141.4 in this instance you then solve for y:

where y= 10hrs

given that y=10 you can then substitute it into either of the 2 equations:

x+y=22

x= 22-y

x= 22 - 10

x= 12hrs

therefore stating that Blake worked 12 hrs at job A and 10 hrs at job B

Prepare a frequency distribution for the data set.
Data set C: The heights (rounded to the nearest inch) of 30 students are given.

Answers

Answer:

Frequency means the number of times the value occurs in the data set.

Therefore, to determine the frequency of height 63, count the number of times "63" occurs in the data set.  From inspection of the data set, we can see that there are five "63"s so the frequency of 63 is 5.

Height   Frequency

63                5

64                1

65                6

66                2

67                3

68                3

69                4

70                0

71                 2

72                4        

Total          30

Find the GCF of 48, 54, and 60.

Answers

Answer:

6

Step-by-step explanation:

the gcf of 48 and 54 is 6,the gcf of 60 is 60.

y = 5 and x = -1
Is it parallel,perpendicular or neither

Answers

Answer: Perpendicular

y = 5 is a horizontal line through 5 on the y axis

x = -1 is a vertical line through -1 on the x axis

Physics vectors component

Answers

Step-by-step explanation:

Componets of a vector are

[tex]x = r \cos(x) [/tex]

[tex]y =r \sin(x) [/tex]

The vector of F1 has a angle of 30 and radius of 30 n so the component are

[tex]x = 30( \cos(30) ) = {15 \sqrt{3} }[/tex]

[tex]y = 30 \sin(30) = 15[/tex]

F2 is a 90 degree so

[tex]x = 20 \cos(90) = 0[/tex]

[tex]y = 20\sin(90) = 20[/tex]

F3 is a 240 degree so we have

[tex]x = 35( \cos(240) ) = - 17.5[/tex]

[tex]y = 35 \sin(240) = - 17.5 \sqrt{3} [/tex]

F4 is 310 angle so we have

[tex]x = 40 \cos(310) = - 21.01[/tex]

[tex]y = 40 \sin(310) = 34.04[/tex]

How do the terms in Pattern B relate to the terms in Pattern A?

Pattern A: 5, 10, 15, 20, 25
Pattern B: 15, 30, 45, 60, 75
really like to know the answer please and thank u! I didn't study

Answers

Answer:

pattern B

Step-by-step explanation:

just took the test

Both in table 5 i guess

HELP WITH THIS QUESTION PLEASE

Answers

Answer:

let the vertices on either side of the 0 be A and B

then let the vertex opposite of O be C

First, angle ACB will be equal to 90° as it is the angle that lies on the same arc as the diameter. From there you can find angle y with angle A+ angle B+ Angle C=180°

then you can find the angle complementary to x with the same formula then you can subtract that angle with 90° to get x.Step-by-step explanation:

1. Find m∠QTS

2. Find mJH⏜

Answers

Answer:

[tex]\tt \angle QTS=1/2(m\:\widehat {sQ}-m\:\widehat{RP}[/tex]

[tex]\tt =1/2(154^{o}-80^{o})[/tex]

[tex]\tt =1/2(74^{o})[/tex]

[tex]\boxed{\tt m\angle QTS=37^{o}}[/tex]

~

[tex]\tt m\angle GKI=1/2(m\:\widehat{GI}+m\widehat{JH})[/tex]

[tex]\tt 55=1/2(76+m\:\widehat{JH})[/tex]

[tex]\tt 55(2)=76+m\: \widehat{JH}[/tex]

[tex]\tt 110+76=m\:\widehat{JH}[/tex]

[tex]\boxed{\tt m\:\widehat{JH}=34^{o}}[/tex]

~

Jose invested $5,100 in an account paying an interest rate of 8 % compounded
quarterly. Michael invested $5,100 in an account paying an interest rate of 83%
compounded monthly. To the nearest dollar, how much money would Michael have
in his account when Jose's money has doubled in value?

Answers

Answer:

I think he will have 6,56$

evaluate the expression (3x2)^2

Answers

Hey there!


(3 * 2)^2

= (3 + 3)^2

= 6^2

= 6 * 6

= 6 + 6 + 6 + 6 + 6 + 6

= 12 + 12 + 12

= 24 + 12

= 36


Therefore, your answer is: 36



Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Answer:

(3 × 2)² = 36

Step-by-step explanation:

Given expression,

→ (3 × 2)²

Evaluating the expression,

→ (3 × 2)²

→ (6)²

→ 36

Hence, the answer is 36.

solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]

thankyou ~​

Answers

[tex] \qquad \qquad \huge \rm \huge \overbrace{\underbrace{ \color{red}{ Answєr}}}[/tex]

hєrє wє gσ ~

[tex] \qquad⧉ \sf \: \: {x}^{2} - 5x + 6 = 0[/tex]

[tex] \qquad⧉ \sf \: \: {x}^{2} - 3x - 2x+ 6 = 0[/tex]

[tex] \qquad⧉ \sf \: \: {x}^{} (x - 3) - 2(x - 3) = 0[/tex]

[tex] \qquad⧉ \sf \: \: {}^{} (x - 3) (x - 2) = 0[/tex]

nσw, wє gσt twσ cαѕєѕ :

#1. whєn (х - 3) = 0

[tex]\qquad \sf  \dashrightarrow \: x = 3[/tex]

αnd

#2. whєn (х - 2) = 0

[tex]\qquad \sf  \dashrightarrow \: x = 2[/tex]

Alguien que me explique como se saca la integral de este:

Answers

The integral distributes over the sum:

[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \int 4x^{\frac34} \, dx + \int 2x^{\frac34} \, dx + \int 4x^{\frac12} \, dx + \int 2x \, dx + \int 2 \, dx[/tex]

Then just integrate each term using the power rule; if n ≠ -1, then

[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]

Then your integral is simply

[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \frac{4x^{\frac34+1}}{\frac34+1} + \frac{2x^{\frac34+1}}{\frac34+1} + \frac{4x^{\frac12+1}}{\frac12+1} + \frac{2x^2}2 + \frac{2x^1}1 + C \\\\\\ = \frac{16}7 x^{\frac74} + \frac87 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C \\\\\\ = \boxed{\frac{24}7 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C}[/tex]

Elizabeth takes home $576 each week at her job as a clerk-typist. If she gets an 8% raise, how much will she take home each week?

Answers

Answer:

622.08

Step-by-step explanation:

576 × (0.080 ÷ 1)

576 × 1.08

622.08

Answer:

622.08

Step-by-step explanation:

hope it helps you

Do You Know H
-hen
r
In 3-5, roundt
whole number
3.
23
3
In 6 and 7. esti
What does 2 3/4 round to in whole number
Math

Answers

when we rewrite 2 3/4 as an improper fraction, we can get 11/4.

11 divided by 4 gives us 2 remainder 3.

we know that the whole number equivalent is somewhere between two and three.

3/4 (what is left after taking 2 away) can be rewritten as 0.75; making the fraction equal to 3.75.

3.75 rounds to 4.

Which of the following rational functions is graphed below?

Answers

answer I need a picture please

The graph given below is the rational function y = 1/(x + 1).

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

In the case of the function y = 1/(x + 1), the numerator is a constant function, which means that the function has a horizontal asymptote at y = 0.

The denominator, x + 1, is a linear function, which means that the function has a vertical asymptote at x = -1.

Therefore, the graph of the function will have a shape that is similar to a hyperbola.

Thus,

The graph given below is the rational function y = 1/(x + 1).

Learn more about functions here:

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What fractions are greater than 7/12

Answers

Answer:

8/12 and higher. To ensure an accurate answer, are there other fractions to compare "7/12" to?

Step-by-step explanation:

Let k be a constant. Compute d/dx [In(kx)] in two ways. Using the Chain Rule, first decompose y = ln(kx) into an outside and inside function.

Outside function (in terms of u): y = __________

Answers

The differentiation using the chain rule gives:

[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x) = \frac{1}{(kx)}*k = \frac{1}{x}[/tex]

How to differentiate a logarithmic function?

Remember that:

[tex]ln(x) = \int\limits {\frac{1}{x} } \, dx[/tex]

Now, we want to derivate ln(kx) where k is a constant, the problem tells us to use the chain rule, so we define two functions:

g(x) = ln(x)f(x) = kx

Then we have:

g(f(x))

Remember that the chain rule says that:

[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x)[/tex]

In this case:

g'(x) = 1/xf'(x) = k

Then:

[tex]\frac{d(g(f(x)))}{dt} = g'(f(x))*f'(x) = \frac{1}{(kx)}*k = \frac{1}{x}[/tex]

If you want to learn more about the chain rule, you can read:

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Jessica finds an old a box of albums in her grandfathers attic. There are a total of 24 albums. After looking at all of them she discoveres that 3/4 of them are cracked. How many albums are not cracked?

Answers

Answer:

6

Step-by-step explanation:

Just multiply both the top and bottom by 6 you get 18/24 from 3/4

I quite don’t get this question and I have 4 minutes remaining

Answers

The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.

[tex]24[/tex]÷[tex]8=3[/tex]

So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.

[tex]135[/tex]÷[tex]3=45[/tex]

The area of the smaller pentagon is 45in²

Hope this helps! Pwease mark me brainliest! Have a great day!

−xXheyoXx

how many lines are perpendicular to AB?
A. 1
B. 2
C. 3

Answers

how many lines are perpendicular to AB?

Hello!

1

middle!

Answer:

A. 1

Step-by-step explanation:

since the perpendicular line has to be at a 90 degree angle of AB and there is only one line which is at a 90 degree angle at AB.

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