PLZ HELP: Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

PLZ HELP: Write The Inverse Function For The Function, (x) = 1/2x + 4. Then, Find The Value Of -1(4).

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = [tex]\frac{1}{2}[/tex] x + 4 ( multiply through by 2 to clear the fraction )

2y = x + 8 ( subtract 8 from both sides )

2y - 8 = x

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex](x ) = 2x - 8

[tex]f^{-1}[/tex](4) = 2(4) - 8 = 8 - 8 = 0


Related Questions

The directrix of the parabola -40x= y2 is:
y=-10
x= 10
x=-10
y= 10

Answers

Answer:

y=10

Step-by-step explanation:

Answer:

[tex]{ \tt{y {}^{2} = 4 {ax} }} \\ = - 10[/tex]

Hi there. May you please help if you can!

A(-4, 1), B(1, 5), C(4, -3), and D(-2, -3) are the vertices of a quadrilateral. Determine the coordinates of the image vertices after each transformation of ABCD. a) a reflection in the x-axis b) a reflection in the y-axis c) a rotation of 180° cw about the origin d) a rotation of 270° cw about the origin

Show your work

Answers

Answer:

hello brother or sister can you please send a picture of the graph in provided but if not there are no specific calculations on reflection so you have to be smart on it and try imagining it or have your own scratch

if def geh solve for x

Answers

Answer:

huh???

Step-by-step explanation:

The answer is x I guess

Using the triangle diagram below in the rules for special right triangles, discover the four missing links and choose them from the available choices:

Answers

Answer:

The solution for the system of right triangles are, respectively: [tex]a = 2\sqrt{6}[/tex], [tex]b = 4\sqrt{3}[/tex], [tex]c = 4\sqrt{6}[/tex], [tex]d = 6\sqrt{2}[/tex]

Step-by-step explanation:

By Geometry, we get the following equivalencies:

[tex]a = 2\sqrt{6}[/tex] (45 - 45 - 90 Theorem)

[tex]b = \sqrt{2}\cdot (2\sqrt{6})[/tex] (45 - 45 - 90 Theorem)

[tex]b = 4\sqrt{3}[/tex]

[tex]c = \frac{2\sqrt{6}}{\frac{1}{2} }[/tex] (30 - 60 - 90 Theorem)

[tex]c = 4\sqrt{6}[/tex]

[tex]d = \frac{2\sqrt{6}}{\frac{\sqrt{3}}{3} }[/tex] (30 - 60 - 90 Theorem)

[tex]d = 6\sqrt{2}[/tex]

Just B please. It’s not 4:3 tho please can someone helo

Answers

Answer:

The workout ratio of the online sales to shop sales is 1:3

Step-by-step explanation:

Given:

A jewelry shop sells 240 necklaces in a month. 180 of the necklaces were sold via the shops website. The rest were sold in a High Street shop.

To find:

Work out the ratio of online sales to shop sales.

Solution:

Total no necklaces = 240

Necklace sold on website = 180

Remaining necklace sold via street = 240 - 180 = 60

Ratio = 60 : 180 = 1 : 3

A pole 11 feet tall is used to support a guy wire for a tower, which runs from the tower to a metal stake in the ground. After placing the pole, Jayden measures the distance from the pole to the stake and from the pole to the tower, as shown in the diagram below. Find the length of the guy wire, to the nearest foot. 11 ft 20 ft-8 ft​

Answers

Answer:

48 ft

Step-by-step explanation:

Here, we want to find the length of the wire

from the diagram, we can identify two similar triangles

The smaller one and a bigger one

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

We can start by getting the height of the tower

we have this as:

8/11 = 28/x

8 * x = 28 * 11

8x = 308

x = 308/8

x = 38.5 ft

So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height

So we can use the Pythagoras’ theorem to get the hypotenuse

Let us call this g

mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides

thus, we have it that;

g^2 = 38.5^2 + 28^2

g^2 = 2,266.25

g = √2,266.25

g = 47.61 which is approximately 48 ft

Helpppppp!!’nnnnnnn.

Answers

The answer is 29.25

Answer:

35.75

Step-by-step explanation:

times 65 by 55%

Jaideep changes $12 000 into euros (€) to buy land in another country.

The exchange rate is €1 = $1.33.

Calculate the number of euros Jaideep receives.

A farmer sold food grains for 9200 rupees through an agent. The rate of commission

was 2%. How much amount did the agent get?

The price of a machine depreciates at 10% every year. If the present value of the

machine be Rs.100000, what will be its value after 3 years?


Lucinda invests $500 at a rate of 5% per year simple interest.

Calculate the simple interest Lucinda has after 3 years.
PLEASE GIVE ANSWERS TO THESE QUESTIONS REALLY QUICK​

Answers

exercise 1

1) 12 000 : 1,33 = 9022,55 €

exercise 2

1) 9200 : x = 100% : 2%

  (9200*2) : 100 = 184 rupees

(sorry dont know the other two ones)

Solve. -3 + 9x = 24 pls help 15 pts!!! ASAP

Answers

Answer:

hope it is helpful to you

Which ordered pair is the best approximation of the solution?

Answers

Answer:

D. (0.6, 1.3)

Step-by-step explanation:

we see in the table that the smaller x the smaller the difference between the y values of both functions. but it must not get too small, as for x=0.5 the difference gets bigger again.

the minimum difference we see for x=0.6. and the y-values are 1.2 and 1.4.

the solution of the system of equation means that both y values are the same for the "shared" x-value (which is the solution of the system, the point where both functions cross each other).

so, we consider 0.6 the best approximation for the true solution for x. and the solution for y is then somewhere in the middle between 1.2 and 1.4. so, 1.3 is a good approximation.

therefore, (0.6, 1.3) is the closest (= best) approximation to the real solution of all provided answer options.

If line segment are you is considered the base of a parallelogram are STU what is the corresponding height of the parallelogram

Answers

Answer: Hello your question lacks some data hence i will provide a general solution within the scope of your question.

answer:

Height = Area of parallelogram / base of parallelogram

Step-by-step explanation:

The corresponding height of the parallelogram can be calculated using the general equation below :

Height = Area of parallelogram / base of parallelogram

Kindly input the values you have into the relation to get the corresponding height of the parallelogram.

Please I need help with this!!!!!!

Answers

Answer:

Step-by-step explanation:

1) Step 4: Marc has converted radical form to exponent form

Step 5: He has evaluated the value of the radical

3)

[tex]x = \sqrt[3]{8}[/tex]

Here, 3 is index and 8 is radicand.

Prime factorize 8 and for every 3 numbers we can take one number outside the radical

Solution:

[tex]x = \sqrt[3]{2*2*2}\\\\x = 2[/tex]

4) No,my equation does not have an extraneous solution.

My solution, satisfies the equation

if f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)​

Answers

Answer:

3, -1

Step-by-step explanation:

just set f(x) = g(x)

x^2 + 3x + 4 = 5x + 7

combine like terms

x^2 - 2x - 3 = 0

factor

(x-3)(x+1)=0

x = 3, x = -1

so, f(x) = g(x) when x = 3 or -1

What is the number of solutions of 4x2 + 12x + 9 = 0?
Α. 1
B. 2
C. 0
D.
no real solution

Answers

Answer:

A

Step-by-step explanation:

2.1 Factoring 4x2+12x+9 The first term is, 4x2 its coefficient is 4 . The middle term is, +12x its coefficient is 12 . The last term, "the constant", is +9 Step-1 : Multiply the coefficient of the first term by the constant 4 • 9 = 36 Step-2 : Find two factors of 36 whose sum equals the coefficient of the middle term, which is 12 .

Jamar has a points card for a movie theater. He receives 20 rewards points just for signing up. He earns 12.5 points for each visit to the movie theater. He needs at least 95 points for a free movie ticket.

Answers

Jamar will need to visit the movie theater 6 times to receive a free movie ticket the first time, and 8 times to receive a free ticket the next time. It takes exactly 7.5 visits for each time after the first, but you round up to 8, because you can’t visit the movie theater half a time. This is represented by the formula y = 12.5x - 20.

Figure ABCD was reflected across the x-axis to create figure A'B'C'D'.

On a coordinate plane, a quadrilateral has points A prime (2, negative 2), B prime (negative 8, 2), C prime (2, 6), and D prime (8, 2).
What are the coordinates of the pre-image of B'?

(2, –8)
(–8, –2)
(–2, 8)
(8, 2)

Answers

Answer:

(-8 , -2)

Step-by-step explanation:

the coordinates of B’ are (-8 , 2)

then

Since B also is the image of B’ through the reflection across the x-axis

then the coordinates of B are (-8 , -2)

Answer:

(-8, -2)

Step-by-step explanation:

Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions

Answers

Answer:

Step-by-step explanation:

The y intercept, also known as 'c' in the formula y = mx + c acts as the coordinate for y when x = 0 [E.g. (0, 24) which c = 24]

Question 1 =  y = -5x + 50

On the graph, c = 50 [ y = mx + 50 ]

30 - 15 = 15

7 - 4 = 3

15/3 = 5 (for the gradient, or 'm', which you may use the formula 'rise/run' on the line shown) [ y = 5x + 50 ]

ALTHOUGH, in question one, the line has a Negative Correlation, it slants downwards on the slope, so the gradient will be negative : y = -5x + 50

If x = 9, y = (9 x -5) + 50, = -5

y = -5

Question 2 =  y = 2.5x + 5

c = 5

m = 5/2 = 2.5

y = 2.5x + 5

when y = 30 > x = 10

30 = 2.5x + 5

30 - 5 = 25

25 = 2.5x

x = 25/2.5

x = 10

Question 3 = y = -10x + 50

c = 50

m = (30 - 20) / 1 = 10

y = -10x + 50

when x = 4 > y = (-10 x 4) + 50

y = -40 + 50

y = 10

A. The vertical scale is too high.
B. The vertical scale should not start at zero.
C. The bars are not the same width.
D. The bars are not the same height.

Answers

C. The bars are not the same width

a rectangular solid box measures 2.17 feet by 4.05 feet by 480 inches. in cubic yards, what is the volume of the box? express your answer as a decimal to the nearest tenth

Answers

Answer:

117.18 yards

Step-by-step explanation:

480in=40ft

2.17x4.05x40=351.54tf

351.54ft=117.18yrds

-64+k^2=0 solve this using quadratic formula​

Answers

Answer:

x= +8 or -8

Step-by-step explanation:

x=  -b±[tex]\sqrt{b^2-4ac}[/tex] /2a

x=−0±[tex]\sqrt{0^2 negative4(1)( negative 64)}[/tex] /√2(1)

x=−0±0[tex]\sqrt{256}[/tex]/√2

x=−0±256−−−√2

x=−0±162

x=16/2 x=−16/2

x=8

x=−8

If chicken wire comes in rolls that are 48 inches long, determine the smallest amount of rolls that will be needed to fence the garden

Answers

Answer:

No solution is possible from the information provided.

Step-by-step explanation:

What is the value of the expression. -(2 1/2 - 7) - 6 1/2?

Answers

Answer:-2

Step-by-step explanation:

Find the mean of the data set:

10, 8, 7, 7, 9, 10

Answers

Answer:

jk

Step-by-step explanation:

Answer:

nxgxhdhdjdkdkdjdjjddbdvd f fvfbfbfnfjjfcjjfjfjfjfjdjdjdjdjdjdjdjdjdjjjdjdjfjfjfjfjffjfjfjfjfjf

Find the length of the arc. Leave the answer in terms of π

Answers

Data not presented, please attach diagram.

A. 0.1
B. 0.5
C. 2
D. 5

Answers

Answer:

5 I think

Step-by-step explanation:

Well, 0.1 and 0.5 goes in anything so I doubt that's it, 2 goes in 10 but not 5, actually. I think if it's division than 2. Not 1,000 percent sure tho

Answer:

0.5

Step-by-step explanation:

So we know the orginal is 10 in size.

The new is 5 in size.

We can think of this as 10 : 5

To find the exact scale, we can divide both by the GCF.

The GCF is the greatest common factor between two numbers.

In this case, the GCF would be 5, now lets divide:

10/5 : 5/5

=

2 : 1

So we can see the ratio is 2 to 1.

Now, the scale is not 2.

The new ratio is 2 : 1, but 2 is the orginal. 1 is the scaled value.

To find the scale, you must divide the new scaled value by the orginal value:

1 / 2

=

1/2

So this is your scale factor.

There is actually another way to do this as well, which is quicker.

Take the new value, 5, and divide it by the orginal value, 10:

5/10

=

1/2

Either way, you get 1/2 as your answer.

Hope this helps!

On a map, 1/4 inch represents 400 miles. How long would a line on a map need in order to represent 3200 miles?

Answers

Answer:

2 inches

Step-by-step explanation:

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

On a map, 1/4 inch represents 400 miles.

1/4 = 400

3200/400 = 8

8 x 1/4 = 2

A line on a map need in order to represent 3200 miles would be 2 inches long.

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Find the slope of the line that contains the points named. G(3, -2), H(7, -2)

A. 0
B. -1
C. Undefined

Answers

A. 0

Answer:

Solution given

(x1,y1)=G(3, -2),

(x2,y2)=H(7, -2)

now

slope=(y2-y1)/(x2-x1)=(-2+2)/(7-3)=0/4=0

Answer:

0

Step-by-step explanation:

To find the slope

m= ( y2-y1)/(x2-x1)

 = ( -2 - -2)/ ( 7-3)

   = (-2+2)/(7-3)

   = 0/4

Help,anyone can help me do quetion,I will mark brainlest.​

Answers

Answer:

Step-by-step explanation:

B3)  

z + 127 = 180   {linear pair}

z = 180 - 127

z = 53

y=  55    {Corresponding angles}

w + z + y =  180 {angle sum property of triangle}

w + 53 + 55 = 180

   w + 108 = 180

w = 180 -108

w = 72

x = w {Vertiaclly opposite angles}

x = 72

B4)  q +  101 = 180 {Linear pair}

               q = 180 -101

              q = 79

p = 142     {Corresponding angles}

p + s = 180        {linear pair}

142 + s = 180

        s = 180 - 142

        s = 38

s +q +r = 180          {angle sum property of triangle}

38 +  79 + r = 180

          117 + r = 180

                  r = 180 - 117

                  r = 63

y + 63 = 180 {linear pair}

y = 180 - 63

y = 117

x = q = {corresponding angles}

x = 79

A rectangular prism tank has a base with a length of 40 inches, a width of 35 inches and a height of 12 inches. What is the volume of water in the tank if the tank is filled with water to 75% capacity ?

Answers

Answer:

12600 in³

Step-by-step explanation:

Applying,

V = lwh................. Equation 1

Where V = volume of the prism, l = length of the base, w = width of the base, h = height of the prism.

From the question,

Given: l = 40 inches, w = 35 inches, h = 12 inches

Substitute these values into equation 2

V = 40(35)(12)

V = 16800 in³

If the volume of water is 75% the capacity of tank.

Therefore,

Volume of water = 0.75(V)

Volume of water = 0.75(16800)

Volume of water = 12600 in³

According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function? (9x + 7)(4x + 1)(3x + 4) = 0 1 root 3 roots 4 roots 9 roots

Answers

Answer:

Step-by-step explanation:

3 roots

namely -7/9,-1/4.-4/3

Other Questions
help i dont know what the answer is! Here are the options for Part B A.) $700B.) $630C.) $860D.) $500 if x = -3 , calculate the numerical value of : step by step -x^2 +4x +10 Smising, pharming and phishing are three security threats that can occur when using the internetfor shopping. When the user types in a URL they are directed to a fake website. * A ) Phishing B ) Pharming c ) Smishing a) 9 to the power of minus 1 over 2 (9^-1/2)b) 27 to the power of minus 2 over 3 (27^-2/3) On April 15, 2012, Andy purchased some furniture and fixtures (7-year property) for $10,000 to be used in his business. He did not elect to expense the equipment under Section 179 or bonus depreciation. On June 30, 2020, he sells the equipment. What is the cost recovery deduction for 2020 If a borrower with poor credit needs a loan that is easy to obtain and providescash quickly, he or she would be likely to choose which type of loan? Substitute the isolated variable into the second equation. I need help with this, i dont understand. what successes did 4ocean have had with the work they do. the premeter of a rectangle is 326cm and its lenght is 98cm find its breath and area PLZ HELP ME ANSWER THIS NO INCORRECT PLS THANK YOU Read the passage.The host greeted us and asked us what our seating preference was. We looked around the crowded caf, and briefly debated our options before deciding that the chill outside was a bit much. We declined the alfresco option and chose a table by the kitchen instead.Which clues from the text are most helpful for determining the meaning of alfresco? Select two options. How many inches are there in 3 yards? A. 108 in. B. 96 in. C. 72 in. D. 48 in. I need help with this question Triangle PQR has vertices P(-2, 6), Q(-8, 4) and R(1, -2). It is translated according to the rule (x, y)> (x, - 2, y -16).What is the y-value of P?a. -18b. -16c. -12d. -10 Elegir la forma correcta1. Paul bought two ________ shirts (reds/red)2. This film is _________ (short/green)3. We met a _________ student (young Spanish/ Spanish young)4. She wore a French dress cottonShe wore a cotton French dressShe wore a French cotton dress5. This suit __________ (looks beautiful/ beautiful looks)6. The day was beautiful __________ (and cold/cold) please answer this , like ASAP Answer both for brainly pro Cuatro contenedores idnticos tienen la misma cantidad de gas helio a la misma temperatura inicial. Los recipientes tambin cuentan con un mbolo mvil que no permite que el helio escape. Cada muestra de gas sigue un proceso distinto como se describe a continuacin: Muestra 1: 500 J de calor salen del gas y este realiza 300 J de trabajo. Muestra 2: 500 J de calor entran al gas y este realiza 300 J de trabajo. Muestra 3: 500 J de calor salen del gas y se hace un trabajo de 300 J sobre l. Muestra 4: 500 J de calor entran al gas y se hace un trabajo de 300 J sobre l. If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which of the following means that C is the son of M? (1) M-N * C + F (2) F-C + N * M (3) N +M-F * C (4) M * N-C + F (5) M-N+F * C I know this isnt school related but its my dads dream tattoo and he just turned 50 and wants to get it for himself after a tough divorce, but he cant get it because he doesnt know the name of the original piece and refuses to copy another tattoo artists art without paying that artist for their work but the original artist doesnt love where we do and isnt replying to any messages. In short, does anyone know what the name of this painting or piece of art is?