What is the inverse of the function f(x) = x +3?

h(x) = one-thirdx + 3
h(x) = one-thirdx – 3
h(x) = x – 3
h(x) = x + 3

Answers

Answer 1

Answer:

C. [tex]h(x)=x-3[/tex]

Step-by-step explanation:

We have been given a function [tex]f(x)=x+3[/tex]. We are asked to find the inverse of the given function.

First of all, we will replace [tex]f(x)[/tex] by y as:

[tex]y=x+3[/tex]

Now, we will interchange x and y variables as:

[tex]x=y+3[/tex]

Solve for y:

[tex]x-3=y+3-3[/tex]

[tex]x-3=y[/tex]

Switch sides:

[tex]y=x-3[/tex]

Therefore, the inverse function for the given function would be [tex]h(x)=x-3[/tex].

Answer 2

Answer:

C

Step-by-step explanation:


Related Questions

six more than twice a number is 24​

Answers

Answer:

Step-by-step explanation:

I would say the answer is 6

6 + 6 than times by two is 24

can anyone find the measurements of these angles (#7 ONLY THANK U)

Answers

The measure of angle2=m angle 6 (Corresponding angle)
So 3x+28= 5x-30
Subtract both side for 3x
28= 2x-30
Add 30 to both sides
58=2x
So x= 29
Therefore m angle 2= m angle 6= 115•
so m4= 180-115= 65•(supplementary theorem)
m2=m3= 115• (vertical angles)
Keep doing it due to these theorem you will get all the answers.

Thom earns $12.40 per hour at the
Yankee Bowling Alley. He regularly
works 40 hours per week. He is paid
time and a half for each our of overtime
work. Last week he worked 42 hours.
What was his gross pay for the week?​

Answers

Answer:

$3,645.6

Step-by-step explanation:

1hr=$12.4

42hrs=x

x=$520.8×7 =$3,645.6

2, 8, 7, 8, 6, 15, 6, 3, 8
What is the range of the data?
ОА. 2
Ов. 6
Ос. 8
Op. 13
OE. 15

Answers

Answer: 13

Step-by-step explanation: To find the range of the data set shown here, let’s first go over what range is. The range of a data set is the difference between the greatest number and the least number.

To find the range of the data set shown here, we will need to subtract the least number from the greatest number.

Least number = 2

Greatest number = 15

Greatest number - least number = range

15 - 2 = range

13 = range

Therefore, the range of the data set shown here is 13.

The answer for the question is 13

What is 13.56 • 10 to the power of -8

I rlly need this for math tomorrow

Answers

Answer 0.0000001356

Step-by-step explanation:Since the exponent of the scientific notation is negative, move the decimal point

8 places to the left.

The points (3,2) and (6, r) lie on a line slope -3. Find the missing cordinate

Answers

[tex]\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{r}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{r}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{3}}}~~=~~\stackrel{\stackrel{slope}{\downarrow }}{-3}\implies \cfrac{r-2}{3}=-3\implies r-2=-9\implies r=-7[/tex]

What happened on September 11, 2001?

Answers

Answer:

On 11 September 2001 (known as 9/11 in America), Islamist extremists hijacked four planes that were flying above the US. Two of them were flown into the twin towers of the World Trade Center in New York. Another was crashed into the Pentagon, the top military building in the capital city, Washington DC.

Step-by-step explanation:

Answer:

On the morning of September 11, 2001, 19 al-Qaeda terrorists hijacked four commercial passenger jet airliners, intentionally crashing two into the World Trade Center in New York City. The hijackers crashed a third airliner into the Pentagon. The fourth plane crashed in a field near Shanksville, Pennsylvania.

Hope this helps :)

let f be a linear function such that f(1)=5 and f(3)=9. Find an equation for f(x)

Answers

Answer:

[tex]y = 2x + 3[/tex]

Step-by-step explanation:

First, we can find the slope of the line.

[tex]m = \frac{y1-y2}{x1-x2}\\m=\frac{9-5}{3-1}\\m = \frac{4}{2}=2\\[/tex]

Using the [tex]y = mx + b[/tex] equation, we can solve for b

[tex]9 = 2(3)+b\\9 = 6 + b\\b = 9-6 = 3[/tex]

Let's see if [tex]y = 2x + 3[/tex] works

[tex]2(1) + 3 \\2 + 3 = 5\\\\2(3) + 3\\6 + 3 = 9[/tex]

It checks out!

If f(1)=5 and f(3)=9 we are given two points, so we can use the slope intercept form to find the equation of f(x)

Points:(1,5),(3,9)

Slope intercept form: y2-y1=m(x2-x1)

9-5=m(3-1)
4=m(2)
m=2

f(x)=2x+b Plug in a point and solve for b

5=2(1)+b
3=b

Answer: f(x)=2x+3

HELP WITH THE ONES CIRCLED PLEASE HELP ASAP

Answers

Answer:

4. as they move clockwise they change/gain .01 points

5. .32 , .33 , .34 , .36 , .37 , .39

.8 , .81 , .83 , .85 , .86 , .88

Step-by-step explanation:

What is 72 ÷ 8 + 4y3 when y = 3?

Answers

Answer:

117

Step-by-step explanation:

Given

72 ÷ 8 + 4y³ with y = 3, substitute y = 3 into the expression

= 72 ÷ 8 + 4 × 3³ ← evaluate exponent

= 72 ÷ 8 + 4 × 27 ← evaluate division and multiplication

= 9 + 108 ← calculate addition

= 117

I need the answer for number 6 please:)

Answers

Answer: 12.5

25 / 2 = 12.5

and so does

25 x .50 = 12.5

We are just cutting the price in half, or 50%.

Hope this helps you!

-9x-6y=15,9x-10y=145

Answers

-9x-6y=15

9x-10y=145

Find y first by eliminating the x.

Add the two equations together.

-9x+9x-6y+-10y=15+145

-6y+-10y=15+145

-6y-10y=160

-16y=160

divide both sides by -16 to get +y

-16y/-16=160/-16

y=-10

Use the substitution method to find x

-9x-6y=15

-9x-6(-10)=15

Do the bracket first

-9x+60=15

Move +60 to the other side. Sign changes from +60 to -60.

-9x+60-60=15-60

-9x=-45

Divide both sides by -9

-9x/-9=-45/-9

x=5

Answer:

( 5,-10)

A lawyer has an annual income of $173, 482 and will pay a 5.5% income tax rate. What is the amount of income tax in dollars and cents that the lawyer will have too pay?​

Answers

Final answer:

The lawyer with an annual income of $173,482 and a tax rate of 5.5% will pay $9,541.51 in income taxes.

Explanation:

To calculate the amount of income tax that the lawyer needs to pay, we multiply their annual income by the income tax rate. In this case, the lawyer has an annual income of $173,482 and the income tax rate is 5.5%. The calculation would be:

Income Tax = Annual Income × Income Tax Rate

Income Tax = $173,482 × 0.055

Income Tax = $9,541.51

Therefore, the lawyer will pay $9,541.51 in income taxes.

SOLVE FAST BRAINLIEST ASAP

Y-9=41

Answers

Answer:

Y = 50

Step-by-step explanation:

Solve for Y:

Y - 9 = 41

Add 9 to both sides:

Y + (9 - 9) = 9 + 41

9 - 9 = 0:

Y = 41 + 9

41 + 9 = 50:

Answer:  Y = 50

Answer:

Y=50

Step-by-step explanation:

First you have to know that whatever you do to one side of the equal sign you must do to the other. Now you want to try and get rid of the 9 so you can separate the variable.

Y-9=41

+9 +9

Y = 50

convert 35 inches into feet​

Answers

Answer:

2.91666667 ft

Step-by-step explanation:

2ft 11in
Or
2.91667(just feet)

the factors of 6x-30 are ?

Answers

So you have 6x-30. The only factor I can think of for this is x+5. Because you have 6(x+5)= 6x+30

Answer:

6 and x - 5

Step-by-step explanation:

Given expression,

[tex]6x-30[/tex]

Since, factor of a number or an expression is obtained after breaking up the number or expression,

Or we can say a number is always divisible by its factor.

[tex]\because 6x - 30 = 6x - 6\times 5 = 6(x-5)[/tex]  ( By the converse  of distributive property )

Thus, 6 and x - 5 are the factors of 6x - 30.

Solve for the indicated variable y=5x-6(x)

Answers

Answer:

x=-y

Step-by-step explanation:

Which formula can be used to describe the sequence below?
-8, -5, -2, 1,4,

Answers

Answer:

add by 3

Step-by-step explanation:

-8+3=-5

-5+3=-2

-2+3=1

1+3=4

Answer:

Step-by-step explanation:

this is a arithmetic sequence   the first term is : A1 = -8

the comon difference is d = -5-(-8) =-2-(-5) =1-(-2) = 4-1 =3

the  formula can be used to describe this sequence is :

An =A1 +(n-1)d

An = -8 +3(n-1)

An = 3n -11

What is the equation for the line that passes through the points (-5, 2) and (5,-6)?​

Answers

Answer:

4x + 5y = -10 or y = -⅘x - 2

Step-by-step explanation:

First, find the rate of change [slope]:

-y₁ + y₂\-x₁ + x₂ = m

[tex] \frac{ -2 - 6}{5 + 5} = - \frac{8}{10} = - \frac{4}{5} [/tex]

Then use the Point-Slope Formula since we are given points. Now, according to this formula, all negative symbols give the OPPOSITE terms of what they really are, so be EXTREMELY careful inserting the coordinates into the formula with their CORRECT signs. It does not matter which one you choose:

y - y₁ = m(x - x₁)

y + 6 = -⅘(x - 5)

y + 6 = -⅘x + 4

- 6 - 6

_______________

y = -⅘x - 2

If you want it in Standard Form:

y = -⅘x - 2

+x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

__________________________________________________________

y - 2 = -⅘(x + 5)

y - 2 = -⅘x - 4

+ 2 + 2

______________

y = -⅘x - 2

y = -⅘x - 2

+x +⅘x

___________

⅘x + y = -2 [We do not want fractions in our Standard Equations, so multiply by the denominator to get rid of it.]

5[⅘x + y = -2]

4x + 5y = -10 >> Line in Standard Form

** You see? I told you that it would not matter which ordered pair you choose because you will always get the exact same result!!!

I am joyous to assist you anytime.

Does any one know this??

Answers

Answer:

Scalene triangle

Step-by-step explanation:

The correct answer is scalene triangle because this type of triangle has angles of many different sizes or measures ;)

PLEASE DO MARK ME AS BRAINLIEST IF MY ANSWER IS HELPFUL :)

Answer:

B. Scalene Triangle

Step-by-step explanation:

All angles and sides are incongruent, according to the what you see in the triangle.

I am joyous to assist you anytime.

There is a spinner with 13 equal areas, numbered 1 through 13. If the spinner is spun one time, what is the probability that the result is a multiple of 6 or a multiple of 4?

Answers

Answer:

5 out of 13

Step-by-step explanation:

you will see all the multiples of six and 4 between 1 and 13.Which are

6=6 and 12

4=4,8,12

which are five numbers so 5 out of 13

15 POINT PLZ HURRY a kitchen measures 24 1/6 feet by 9 2/3 estimate the area of the kitchen
show work plz

Answers

Answer:

223 11/8 ft squared

Step-by-step explanation:

i made an improper fraction first then multiplied the numerators together and the denominators together and got 4205/18 then i simplified and got 233 11/18

145  x  29   =  4205  =  233 11/18

 6        3            18

how do you solve 2i and 2ii​

Answers

Answer:

15 and 21

Step-by-step explanation:

Given the n th term formula

T = 2n + 5

To find the 5 th and 8 th terms substitute n = 5 and n = 8 into the formula

[tex]T_{5}[/tex] = (2 × 5) + 5 = 10 + 5 = 15

[tex]T_{8}[/tex] = (2 × 8) + 5 = 16 + 5 = 21

Given:

Tn = 2n+5

`The fifth term, i.e., n=5

Substituting the value inside the formula we get,

2(5) + 5 => 10 + 5 => 15

   2.  The Eighth term, i.e., n=8

Substituting the value inside the formula we get,

2(8) + 5 => 16 + 5 => 21

Liam bought a comic book and had $5 left. If he had a total of $8 walking into the store, how much did he spend on the comic book?

Liam used the equation 5x=8 to model the problem. He said that x represents the amount of money he spent. Liam said that the solution, x=1.6, means that he spent $1.60. Is he correct? Why or why not? If he is incorrect find the correct answer showing your work.

Pls Help Me

Answers

Answer: The comic book was $3.

Step-by-step explanation:

Instead of 5x=8, it should have been 5+x=8 because he only purchased a single comic book. Subtract 5 from 8 and your X value is 3.

Answer:

Liam spent $3 on the book.

Step-by-step explanation:

Liam bought a comic book and had $5 left.

He had a total of $8 walking into the store, so he spent [tex]8-5=3[/tex] dollars on the comic book.

Liam used the equation 5x=8 to model the problem.

This is wrong. The correct form would have been [tex]8-x=5[/tex] or [tex]5+x=8[/tex] where x represents the amount of money he spent.

Hence, Liam spent $3 on the book.

You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(x)=-16^2 + 32t + 5.2

Answers

Answer:the ball is released when t = 0

The ball is 5.2 feet above the ground when it is released

The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function has height with time t

f(x)=-16t² + 32t + 5.2

At the time of release, the value of time t will be 0

So, t = 0

f(x) = 0 + 0 + 5.2 ⇒ f(x) = 5.2 feet

So height is 5.2 feet

Now,

The time taken to cover this height will be

5.2 = 16t² + 32t + 5.2

16t² + 32t = 0

16t(t + 2) = 0

t = 0 and -2

Since if some height exists then time can never be 0 and time also does not exist in negative so consider 2.

Hence "The ball is 5.2 feet in height from the ground and it will hit the ground after 2 seconds.

For more about the function,

brainly.com/question/23712366

#SPJ2

4.) At a school fundraiser for every 9 boxes of
chocolate sold you earn 6 points. If you were
to sell 33 boxes, how many points would you
have earned?​

Answers

22 points. For every 9 boxes, you’re reworded with 6 points for the total of 9boxes. 33 boxes divided by 9=3.7*2 which is 22

SUBTRACT

(−2x4−2x3+8x2+2)−(x4−5x3+2x+7)



Enter your answer, in standard form, in the box.

Answers

Answer:

[tex] -3x^{4} + 3{x}^{3} + 8{x}^{2}- 2x - 5[/tex]

Step-by-step explanation:

To avoid confusion, distribute the negative amongst all terms in the second set of parentheses.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

Based on the calculations, the solution to the expression is [tex]-3x^4+3x^3+8x^2-2x-5[/tex]

What is the distribution property of multiplication?

The distributive property of multiplication states that when the sum of two (2) or more addends are multiplied by a given numerical value or factor, the same output would be produced as when each addend is multiplied respectively by the numerical value or factor, and the products are added together.

Based on the information provided above, we have this expression:

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

By applying the distributive property of multiplication to the given expression, we would open the parentheses by distributing the negative sign as follows:

[tex]-2x^4-2x^3+8x^2+2-x^4+5x^3-2x-7\\\\-3x^4+3x^3+8x^2-2x-5[/tex]

Read more on distributive property here; brainly.com/question/24014491

#SPJ3

Complete Question:

SUBTRACT

[tex](-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)[/tex]

Enter your answer, in standard form, in the box.

PLEEASSSSEEEE HHEEEEELLLLPPPPPPPP !!!!!!!!!!!!!!!!!!!!!!!!!!! Circle R is shown. Line segments Q R and S R are radii. The length of Q R is 18. Sector Q R S is shaded. The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi units squared 72Pi units squared 144Pi units squared 324Pi units squared

Answers

Answer:

[tex]144\pi\ un^2.[/tex]

Step-by-step explanation:

In the attached diagram, circle R is shown. Line segments QR and SR are radii and QR = SR = 18 units.

The measure of the central angle QRS is [tex]\dfrac{8\pi}{9}[/tex]

1. Find the area of the whole circle:

[tex]A_{circle}=\pi r^2=\pi \cdot 18^2=324\pi \ un^2.[/tex]

2. Note that the whole circle is determined by the full rotation angle with measure [tex]2\pi[/tex] radians. So,

[tex]\begin{array}{cc}\text{Angle}&\text{Area}\\ \\2\pi &324\pi \\ \\\dfrac{8\pi }{9}&A_{sector}\end{array}[/tex]

So, write a proportion:

[tex]\dfrac{2\pi}{\frac{8\pi}{9}}=\dfrac{324\pi}{A_{sector}}[/tex]

Cross multiply

[tex]2\pi \cdot A_{sector}=324\pi \cdot \dfrac{8\pi }{9}\\ \\A_{sector}=162\pi \cdot \dfrac{8}{9}=144\pi\ un^2.[/tex]

Answer:

144

Step-by-step explanation:

Allen Barry deposited checks
totaling $1,584.19 into his savings
account. He withdrew $96.00 while
depositing some loose change. Allen's
total deposit was $1,530.24. How much
did he deposit in loose change?​

Answers

The answer for this is 42.05

Answer:

$42.05

Step-by-step explanation:

Take $96.00 from 1,584.19 to figure out how much he had before he deposited

1,584.19 - 96 = 1,488.19

Now take away what he had after he took 96, to after he added.

1,530.24 - 1,488.19 = 42.05

Allen deposited $42.05

2x - 3y = 3
x + 2y = 5
by substitution or elimination

Answers

2x - 3y = 3

x + 2y = 5

In the second equation we have an x-term that has a coefficient of 1 (which means the x is all by itself), so we can isolate that x and solve by substitution.

x + 2y = 5

x + 2y - 2y = 5 - 2y

x = 5 - 2y

The expression 5 - 2y will be substituted for x in the first equation.

2x - 3y = 3

2(5 - 2y) - 3y = 3

Solve for y.

2(5 - 2y) - 3y = 3

10 - 4y - 3y = 3 (distribute the 2)

10 - 7y = 3 (collect like terms)

-7y = -7 (subtract 10 from both sides)

y = 1 (divide both sides by -7)

Substitute 1 for y in the second equation to find x.

x + 2y = 5

x + 2(1) = 5

Solve for x.

x + 2(1) = 5

x + 2 = 5 (multiply)

x = 3 (subtract 2 from both sides)

Always check your work. Substitute into the original system.

2x - 3y = 3

2(3) - 3(1) = 3

6 - 3 = 3

3 = 3

x + 2y = 5

3 + 2(1) = 5

3 + 2 = 5

5 = 5

Answer:

x = 3 and y = 1; (3,1)

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