find the inverse of the given function h(x) = 2x-4/3

Answers

Answer 1

Answer:

[tex]h^-^1(x)=0.5x+1.5[/tex]

Step-by-step explanation:

Finding the inverse of a function is similar to solving for the complete opposite of a function. An easy trick to do so is the think of the resulting value (h(x)) as another variable. Solve the equation for (x) in terms of (h(x)). Finally, switch the variable and evalutator so that one has the funciton in inverse function notation.

[tex]h(x) = 2x - \frac{4}{3}[/tex]

Inverse operations,

[tex]h(x)=2x-\frac{4}{3}\\\\h(x)+\frac{4}{3}=2x\\\\\frac{h(x)+\frac{3}{4}}{2}=x[/tex]

Simplify,

[tex]0.5(h(x))+1.5=x[/tex]

Write in inverse function notation,

[tex]h^-^1(x)=0.5x+1.5[/tex]


Related Questions

Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north. How far is Abby from the campsite?

Answers

Answer:

65.45 feet

Step-by-step explanation:

According to the Question,

Given, Abby went camping with her family. She left her campsite to look for firewood. She walked 54 feet east and then walked 37 feet north .

(Please find Diagram in Attachment)

A Right Angle Triangle ABC is formed by above-given data .

So, By Phythagoras Theorem,

AC² = BC² + AB²

X² = 37² + 54²

X² = 4285 ⇔ √4285 ⇒ 65.45 feet

Where is it saves three times as much money as Anna. If a represents Anna savings. Which relationship shows how much money they have saved, S, together

Answers

Answer:

S = 4a

Step-by-step explanation:

Rosa saves three times as much money as Anna. If a represents Anna's savings, which relationship shows how much money they have saved,

together?

Let

S = Total money they have saved,

together

a = Anna's savings

Rosa saves three times as much money as Anna

Rosa = 3 * a

= 3a

Total savings = Anna's savings + Rosa's savings

S = a + 3a

S = 4a

Un poste de luz tiene un cable en la punta con el que forma un ángulo de 60°. Indique la longitud del poste sabiendo que el cable mide 7 metros desde la punta del poste hasta el suelo.

Answers

Answer:

4.04 metros

Step-by-step explanation:

Resolvemos la pregunta anterior usando la función trigonométrica de

tan θ = Opuesto / Adyacente

θ = 60 °

Frente = 7 metros

Adyacente =? = x

Por eso

bronceado 60 = 7 / x

Multiplicar cruzada

= tan 60 × x = 7

x = 7 / tan 60

x = 4.0414518843 metros

Aproximadamente = 4.04 metros

This circle graph shows the percent of land occupied by each continent.
The area of North America is approximately 220 million km2
.

Use the percents in the circle graph.
Find the approximate area of each of the other continents,
to the nearest million square kilometres.

Answers

The approximate areas of the continents (excluding North America) are as follows:

- Australia: 11 million km^2

- Europe: 15 million km^2

- Antarctica: 18 million km^2

- South America: 26 million km^2

- Africa: 44 million km^2

- Asia: 66 million km^2

To find the approximate area of each continent, we will multiply the given percentages by the area of North America (220 million km^2).

1. Australia:

Percentage: 5%

Approximate area: 0.05 * 220 million km^2 = 11 million km^2

2. Europe:

Percentage: 7%

Approximate area: 0.07 * 220 million km^2 = 15.4 million km^2 (rounded to 15 million km^2)

3. Antarctica:

Percentage: 8%

Approximate area: 0.08 * 220 million km^2 = 17.6 million km^2 (rounded to 18 million km^2)

4. South America:

Percentage: 12%

Approximate area: 0.12 * 220 million km^2 = 26.4 million km^2 (rounded to 26 million km^2)

5. Africa:

Percentage: 20%

Approximate area: 0.20 * 220 million km^2 = 44 million km^2

6. Asia:

Percentage: 30%

Approximate area: 0.30 * 220 million km^2 = 66 million km^2

Note: These values are rounded to the nearest million square kilometers.

For more such questions on continents

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40. A playground is constructed with the. dimensions and shape shown below.

What is the area of the playground?

Answers

Answer:

Hello! answer: 154

Step-by-step explanation:

In the picture shown I found the area of each shape now I just have to add it up for the total so... 64 + 24 + 54 + 12 = 154 therefore the area is 154 hope that helps

Natasha is 12 years old and her teacher is 36. Which ratio best repersents Natasha's age in 4 years and here teachers age in 4 years A. 1:3 B. 2:5 C. 3:10 D. 4:9

Answers

I think it is A- 1:3 :)

No links<3
Fill in the missing value!

Answers

Answer:

2.6 and 3

Step-by-step explanation:

The values of the years are being multiplied by 1.3. So when you multiply 2 by 1.3 you would get 2.6. The years are going up by 1 so the year after 2 would be 3.

work out 6/5 of 200 and show working out

Answers

Answer:

240.

Step-by-step explanation:

200 * 6/5

= 1200/5

= 240

Mr.Caldwell has 10 full size pizzas and half of another one.He wants to share the pizza with 8 of students. Mr.Caldwell doesn't want any pizza.How much pizza did will each student get?

Answers

Answer: [tex]1\ \text{Pizza}\ \text{and}\ \dfrac{5}{16}\ \text{pizza}[/tex]

Step-by-step explanation:

Given

Mr. Caldwell has 10 full pizzas and half of another one

he wants to distribute it in among 8 of his students

Total pizzas are [tex]10+\frac{1}{2}=\frac{21}{2}[/tex]

So, each student gets

[tex]\Rightarrow \dfrac{\dfrac{21}{2}}{8}\\\\\Rightarrow \dfrac{21}{16}\ \text{or}\ 1\dfrac{5}{16}[/tex]

that is 1 pizza and five-sixteenth part of a pizza.

which of the following is a root of the polynomial function?​

Answers

Answer:

a

Step-by-step explanation:

write 36m÷9m in standard form

Answers

4x^2. This is the simplified answer

The expression (36m ÷ 9m) is equivalent to 4.

What is division in mathematics? What is a mathematical function, equation and expression?division : Division is the process of splitting a number or an amount into equal parts.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.

Given is the following division as follows -

(36m ÷ 9m)

We have the following expression -

36m ÷ 9m

So, we can write -

(36m/9m)

36/9

4

Therefore, the expression (36m ÷ 9m) is equivalent to 4.

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A marble jar contains 1 blue, 2 green, 3 red, and 5 yellow marbles. If a single marble is drawn at random from the jar, what is the probability that it is blue or red?

Answers

Answer:

4/11

Step-by-step explanation:

1 blue, 2 green, 3 red, and 5 yellow marbles.= 11 marbles

P( blue or red) = number of blue or red / total

                        = 4/11

When solving the equation x2 – 8x - 7 = ( by completing
the square, which equation is a step in the process?

Answers

Step-by-step explanation:

x²– 8x - 7 = 0

(x²-8x+16) -7 = 16

(x²-8x+16) = 16+7

(x-4)² = 23

x-4 = √23

so x= 4+√23 or x= -4√23

X^2-8x-7=0
Add 7 to both sides
X^2-8x=7
Now use formula
(B/2a)^2
(-8/2)^2= 16
Add 16 to left subtract from right to get
X^2-8x+16=-9
Now factor into
(X-4)^2=-9
For your final answer

Select the correct graph.
Which graph is the graph of function
f(x) =4^x

Answers

The graph should look like this.

Answer:

the question on top is right

Step-by-step explanation:

Will give out Brainliest! Can somebody please explain how to find the linear regression equation given a data table step-by-step?

Answers

REFERS TO THE ATTACHMENT:

Can someone please help asap thank you

Answers

Answer:

1. -10 > x

2. No, because the more you raise the ticket price, the less people will attend.

3. C) -x - 6 > -3.5

4. you have to do yourself

Step-by-step explanation:

1. if you solve for 5 - 3x > 35 you get x < -30, which means that any answer will be less than -10

Which of the following is not a type of correlation associated with scatterplots?
A. no correlation
B. positive correlation
C. negative correlation
D. indefinite correlation
Please select the best answer from the choices provided

Answers

The type of correlation not associated with scatterplots is an indefinite correlation

What is correlation?

Correlation or dependence is any statistical relationship, whether causal or not, between two random variables or bivariate data.

Correlation can only be between -1 and 1 but not outside these values.

The types of correlation that we have to include:
no correlationpositive correlationnegative correlation

Hence the type of correlation not associated with scatterplots is an indefinite correlation

Learn more on correlation here: https://brainly.com/question/26172866

What is the surface area and volume of this shape?

Answers

Answer:

894.14 mm^2.

Step-by-step explanation:

i did this.

I think it’s c I hope that helps

Is a D a failing grade?

Answers

Answer:

Yes anything under a C

Step-by-step explanation:

If m and n are rational numbers such that root m + root n = root 7+ 48, calculate the possible
value of m^2+n^2?.

Answers

Answer:

2353

Step-by-step explanation:

7^2+48^=2353

3x+3y=18 x+2y=9 find x and y​

Answers

Answer:

x = 3, y = 3

Step-by-step explanation:

Given the 2 equations

3x + 3y = 18 → (1)

x + 2y = 9 → (2)

Multiplying (2) by - 3 and adding the result to (1) will eliminate the x- term

- 3x - 6y = - 27 → (3)

Add (1) and (3) term by term to eliminate x

0 - 3y = - 9

- 3y = - 9 ( divide both sides by - 3 )

y = 3

Substitute y = 3 into either of the 2 equations and solve for x

Substituting into (2)

x + 2(3) = 9

x + 6 = 9 ( subtract 6 from both sides )

x = 3

solution is x = 3, y = 3

Answer:

x = 3 , y = 3

Step-by-step explanation:

3x + 3y = 18 -- (1)x + 2y = 9 --(2)

Dividing (1) by 3 : x + y = 6 --(3)

                                  x = 6 - y --(3)'

Substituting (3)' into (2),

(6 - y) + 2y = 9

6 - y + 2y = 9

             y = 3 -- (4)

Substituting (4) into (3),

x + 3 = 6

     x = 3 -- (5)

According to (4) and (5),

x = 3 , y = 3

Melissa and Emily are playing at the pool.They have three different measuring jars for; liters, cups, and pints. They find that 7 cups of water and 3 liters of water filled 9.8 pints. Later, they find that if they start with 5 liters of water and remove 9 cups of water, they end up with 6 pints of water. Model the given two situations as a system of linear equations. Based on your equations, determine the relationship between;

Answers

Answer:

Here is the missing part.

Cups and liters:-1 litre = 2.1 cups

Cups and pints:- 1 pint = 2 cups

Pints and liters:-1 litre = 2.1 pints

Step-by-step explanation:

Step 1:

7 cups + 3 liters = 9.8 pints

[tex]7c+3l=9.8p[/tex]

5 liters - 9 cups = 6 pints

[tex]5l+9c=6p[/tex]

Cups and Liters

[tex]7c+3l=9.8p[/tex]

[tex]p= 7c+3l/9.8[/tex] (put in equation 2)

[tex]5l-9c= 7c+3l/9.8\\49l-88.2c=7c+3l\\49l-3l=7c-88.2c\\46l=45.2c[/tex]

1 Liter = 2.1 Cups.

Step 2:

Cups and Pints

[tex]7c+3l=9.8p\\3l=9.8p-7c[/tex]

[tex]l=9.8p-7c/3[/tex](put in equation 2)

[tex]5(9.8p-7c/3)-9c=6p\\(49p-35c/3)-9c=6p\\49/3p-35/3c-9c=6p\\49/3p-6p=35/3c+9c\\31/3p=62/3c[/tex]

1 Pint = 2 Cups.

Step 3:

Pints and Liters

[tex]7c=9.8p-3l[/tex]

[tex]c=9.8p-3l/7[/tex](put in equation 2)

[tex]5l-9(9.8p-3l/7)=6p\\5l-63/5p+27/7l=6p\\5l+27/7l=6p+63/5p\\62/7l=93/5p[/tex]

​1 Liter = 2.1 Pints.

Question
An employee makes $24 per hour during the normal week. This weekend that employee will make $36 per hour since it is a holiday. What is the percent increase in pay?

Answers

Answer:

The percent increase in pay is 50%.

Step-by-step explanation:

We need to find the percent increase from $24 to $36.

To solve this, we first must ask ourselves the question

36 is what percent of 24?

Y = P% of 24

36 = X · 24

To get X alone, we divide 36 by 24. That's 1.50. So now we know 36 is 150% of 24. Knowing 24 is 100%, we can find the percent increase. Well, how do we get from 100% (24) to 150% (36)? By increasing by 50%. Therefore, the percent increase in pay is 50%.

PLEASEEEEEEE HELPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Arranging : 9.2020 < 9.2200 < 9.2211 < 9.8000

Step-by-step explanation:

9.22   = 9.2200

9.202 = 9.2020

9.8      = 9.8000

9.2211  = 9.2211

Now compare the numbers in the tenths : except 3rd option ( 8 in the tenth place) everything has 2 in the tenths place.

Arranging : 9.2200, 9.2020, 9.2211, 9.800

So we take the next place, hundredths : Compare the number in hundredth place and tenth place and arrange. [ 22, 20, 80 , 22]

Arranging : 9.2020 , 9.2200, 9.2211, 9.8000

Now compare  the numbers in tenths , hundredths and thousandth place :

[220, 202, 800, 221 ]

Arranging : 9.202, 9.220, 9.221, 9.800

Now compare all the four numbers and arrange :

[ 2200, 2020 , 8000, 2211 ]

Arranging : 9.2020 , 9.2200 , 9.2211 , 9.8000

what is the difference between the domain and the range of a function?

Answers

Answer:

The domain is all the x values of a function while the range is all the y values of a function.

Answer:

Step-by-step explanation:

The domain of a function is the set of input (x-) values for which the function is defined.  The range is the set of output (y-) values; often there are limitations.

For example, the sine function y = sin x is defined for all real x; for every input x, there is a corresponding output y.  The sine function has a limited range in that the minimum value of the sine is -1 and the max is +1.  There is no graph above y = -1 or below y = +1.

someone pls help lol

Answers

[tex] \sqrt{x { }^{2} -6x + 9} [/tex]

Given x>3 i.e. 4

√4^2 -6*4+ 9

√16 -24 + 9

√25-24

√1

please can someone help me with this

Answers

9514 1404 393

Answer:

  1583.4 ft³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

The radius is half the diameter, so is (12 ft)/2 = 6 ft. Then the volume is ...

  V = π(6 ft)²(14 ft) ≈ 1583.4 ft³

_____

Additional comment

The number shown in the problem statement answer box is the number you would get using the diameter in the above formula instead of the radius.

The volume of cylinder is 1583.4ft³.

Step-by-step explanation:

Given that :-

Height of cylinder = 14 ft

Base diameter if cylinder = 12 ft

so, Radius of cylinder, r = 12 / 2 = 6 ft

To find :-

Volume of cylinder

Solution :-

Using formula

Volume of cylinder = π × r² × h

Substitute the value

Volume of cylinder = π × (6ft)² × 14 ft

evaluate the exponent

Volume of cylinder = π × 36 ft ² × 14ft

multiply

Volume of cylinder = π × 504 ft³

Using , π = 3.14

Volume of cylinder = 3.14 × 504 ft³

Hence, the volume of cylinder is 1582.56ft³.

Round nearest tenth place = 1583.4 ft³.

ron’s bagel shops has sold 6 sesame bagels and 24 other bagels. considering this, how many of the next 90 bagels sold should you expect to be sesame bagels?

Answers

Answer:

Answer is 18

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

write the set of natural numbers that is less than or equal to 6 in both the notations​

Answers

Answer:

Step-by-step explanation:

Builder :

X = { x ∈ N : x ≤ 6}

Roster :

X = { 1, 2 , 3 , 4 , 5 , 6}

factorize 6×square + 5× - 4 =o​

Answers

Answer:

6×square + 5× - 4 =o

6×square+(8-3)×-4=0

6×square+8×-3×-4=0

2×(3×+4)-1(3×+4)=0

(3×+4)(2×-1)=0

either,

3x+4=0

3×=-4

×= -4/3

or,

2x-1=0

×=1/2,,

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