Let f(x) = 2x + 2. Solve f−1(x) when x = 4. (1 point)

Answers

Answer 1

Answer:

1

Step-by-step explanation:

First, find the inverse of the original function.

x = 2y + 2

x-2/2

Second, substitute x with 4 and solve.

4-2/2

2/2

1

Best of Luck!

Answer 2

If f(x) = 2x + 2 is invertible, then its inverse is another function f ⁻¹(x) such that

f(f ⁻¹(x)) = 2 f ⁻¹(x) + 2 = x

Solve for f ⁻¹(x) :

2 f ⁻¹(x) + 2 = x

2 f ⁻¹(x) = x - 2

f ⁻¹(x) = (x - 2)/2 = x/2 - 1

Then when x = 4, we have f ⁻¹ (4) = 4/2 - 1 = 2 - 1 = 1.


Related Questions

Draw the image of the rotation of quadrilateral SORT by 270° about the origin.

I need visual help, not a number answer please :)

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

A rotation 270° CCW is the same as a rotation 90° CW. To see what the figure looks like in its new location, make a copy on a semi-transparent medium, then align the +x axis on the copy with the -y axis on the original graph, keeping the origin in the same place.*

Algebraically, the transformation is ...

  (x, y) ⇒ (y, -x)

For example, ...

  S(7, -6) ⇒ S'(-6, -7)

In the attachment, the rotated figure is in red.

_____

* The exercise of physically doing this on paper or with transparencies can give you the insight you need to learn to do it mentally.

⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆⬆

THAT IS THE RIGHT ANSWER

Solve equation by using the quadratic formula.

Answers

Answer:

Step-by-step explanation:

what are the solutions to the quadratic equation (5y + 6)² = 24​

Answers

Answer:

no solution

Step-by-step explanation:

25y² +36 = 24

(5y + 6) (5y + 6)

roots -6/5, -6/5

solution is always a positive root

Square paper sheets of two sizes are needed for an art project. How many of the smaller sheets are needed to cover one of the larger sheets if it is known that the perimeter of one of the larger sheets is eight times as great as the perimeter of one of the smaller sheets?

Answers

Answer:
64 sheets

Step by step:
Given x to be the length of one side of the smaller square sheet, the perimeter of the smaller sheet would be 4x. Because the larger sheet’s perimeter is eight times as great as the smaller sheet, the smaller sheet’s perimeter multiplied by eight is the larger sheet’s perimeter. 4x multiplied by eight is 32x.

To find the length of a side from the larger sheet, divide the perimeter by four (number of sides a square sheet has) resulting in the larger sheet’s side being 8x. One side of the smaller sheet is x, as stated before.

Substituting 1 for x, how many 1 by 1 squares can fit in an 8 by 8 square? 8 smaller squares can fit on each side of the larger square. So, to find the area in terms on number of smaller sheets multiply 8 by 8. Therefore, 64 smaller sheets fit in one larger sheet.

The price of a car was decreased from $13,000 to $11,830. The price is decreased by what percentage?

Answers

Answer:

It is decreased by 9%

Step-by-step explanation:

First, find out how much money is decreased. To do this, subtract 13,000-11,830=1170. Finally, figure out how much percent 1170 is of the original price of $13,000.

The answer is 7%.

Hope this helps :)

Please help me…………….

Answers

9514 1404 393

Answer:

  54.8 km

Step-by-step explanation:

The sketch and the applicable trig laws cannot be completed until we understand what the question is.

Given:

  two boats travel for 3 hours at constant speeds of 22 and 29 km/h from a common point, their straight-line paths separated by an angle of 39°

Find:

  the distance between the boats after 3 hours, to the nearest 10th km

Solution:

A diagram of the scenario is attached. The number next to each line is the distance it represents in km.

The distance (c) from B1 to B2 can be found using the law of cosines. We can use the formula ...

  c² = a² +b² -2ab·cos(C)

where 'a' and 'b' are the distances from the dock to boat 1 and boat 2, respectively, and C is the angle between their paths as measured at the dock.

The distance of each boat from the dock is its speed in km/h multiplied by the travel time, 3 h.

  c² = 66² +87² -2·66·87·cos(39°) ≈ 3000.2558

  c ≈ √3000.2558 ≈ 54.77

The boats are about 54.8 km apart after 3 hours.

We'll assume that the stem diameter is normally distributed. An agronomist measured stem diameter in 8 randomly selected plants of a particular cultivar of wheat. The mean of the sample is 2.275 and the standard deviation is 0.238.Construct a 80% confidence interval for the population mean.

Answers

Answer:

The 80% confidence interval for the population mean is (2.156, 2.394).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 8 - 1 = 7

80% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 7 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.415

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 1.415\frac{0.238}{\sqrt{8}} = 0.119[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 2.275 - 0.119 = 2.156

The upper end of the interval is the sample mean added to M. So it is 2.275 + 0.119 = 2.394

The 80% confidence interval for the population mean is (2.156, 2.394).

100 Points + Brainliest Again. They deleted my other for being too easy :P


What is the circumference of a circle with a radius of 20 inches?

Answers

Answer:

125.66 inches

Step-by-step explanation:

Step 1:  Calculate the circumference

The circumference formula is:  C = πd

Another way of saying that is:  C = 2πr

C = 2π(20)

C = 40π

C ≈ 125.66 inches

Answer:  125.66 inches

Can someone help me find the answer?

Answers

Answer: C. is the correct answer.

Which graph represents a function with direct variation? A coordinate plane with a U shaped line graphed with the minimum at (0, 0). A coordinate plane with a V shaped line graphed with the minimum at (0, 0). A coordinate plane with a line passing through (negative 4, 2), (0, 0) and (4, negative 2). A coordinate plane with a line passing through (negative 2, negative 3), (0, 1) and (1, 3).
left 3, up 4
right 3, down 4
left 3, down 4
right 3, up 4

Answers

Answer:

a line passing through (negative 4, 2), (0, 0) and (4, negative 2).

Step-by-step explanation:

A function exhibiting direct variation MUST pass through the origin, (0, 0), and the graph must be a straight line.  The answer that satisfies these requirements is

a line passing through (negative 4, 2), (0, 0) and (4, negative 2).

You have one of each type of coin (pennies are not included) and one each of $5, $10, $20, and $50 bill. How many sums of money are there?

Answers

Answer:

$85.40

Step-by-step explanation:

All the US coin types, excluding pennies, are:

- nickels

- dimes

- quarters

Nickels are equal to 5 cents, or $0.05

Dimes are equal to 10 cents, or $0.10

Quarters are equal to 25 cents, or $0.25

Because there are only one of each coin (excluding pennies), we can just add the values written above:

$0.05 + $0.10 + $0.25 = $0.40

Next, let's add one of each bill listed in the question:

$5 + $10 + $20 + $50 = $85

Finally, let's add the value of the coins and the value of the bills to find the sum:

$85 + $0.40 = $85.40

The answer is $85.40

Hope it helps (●'◡'●)

work out the value of (4√2)^2

Answers

Answer:

32

Step-by-step explanation:

(4[tex]\sqrt{2}[/tex] )²

= 4[tex]\sqrt{2}[/tex] × 4[tex]\sqrt{2}[/tex]

= 4 × 4 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex]

= 16 × 2

= 32

What is the volume of the cylinder shown below?

Answers

Answer:

c. 1500pi cubic units

Richa is in gadget for 20 days on the condition that she will receive rupees 60 for each desi work and will be fine rupees 5 for HTC is absent if C receive rupees 7:45 in all how many days did you remain absent?​

Answers

Answer: Next time please try to put clear images

Let he worked for x days and absent for (20-x) days.

So, according to question, he gets 60 rs for each working day and -5 for each absent days.

SO for working days he earns 60x and for absent he gave fines of (20-x)* (-5),

So, the equation will be

60x+ (20-x)*(-5)=745

60x-100+5x=745

65x-100=745

65x=845

x=845/65=13.

So, He worked only for 13 days, Now we need to calculate the number of days he was absent, so it will be 20–13=7 days.

The answer will be 7 days.

Answer:

hi are you from India

I am also

prove ||a+b|| ≤ ||a||+|b||​

Answers

Step-by-step explanation:

|a+b|=✓(a²+b²)

|a|+|b|=a+b

||a+b|| ≤ ||a||+|b||

Given the following linear function, sketch the graph of the function and find the domain and range.
f(x) = -5x+ 4

Answers

Answer:

There don't seem to be any limits/asymptotes to the function.

Domain = (-∞ , ∞ ), {x|x ∈ R }Range = (-∞ , ∞ ), {x|x ∈ R }

The graph would look something similar to this:

What is the solution to -41-2x + 6 = -24?
O x = 0
O x = 0 or x = -6
0 x = 0 or x = 6
Ono solution

Answers

Hello!

-41 - 2x + 6 = -24 <=>

<=> -35 - 2x = -24 <=>

<=> -2x = -24 + 35 <=>

<=> -2x = 11 <=>

<=> x = -11/2 or -5.5

Good luck! :)

The solution of the equation is only one solution.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have,

-41 - 2x + 6 = -24

Now, solving for x we get

-41 + 6 -2x = -24

-35 - 2x = -24

-2x = -24 + 35

-2x = 11

x = -11/2

x= -5.5

As, the equation of linear and have x= -5.5.

Thus, the equation have only one solution.

Learn more about Equation here:

https://brainly.com/question/29538993

#SPJ7

Please help me out explanation need it

Answers

Answer:

3/4

Step-by-step explanation:

tan C = opposite side/ adjacent side = AB / BC = 24 /32 = 3*8/ 4*8 = 3/4

Tan is opposite over adjacent so tan c is 24/32 which is 3/4

Shelley sells 5 bone shaped treats for $3.50. How much should she charge for a package of 12 treats?
Which proportion is needed to solve the problem?

Answers

the proportion would be 5/$3.5 = 12/x

!HELP PLEASEEE! For this problem I thought it meant to subtract 0.1492 - 0.1515 = -0.0023 however my answer was incorrect. How do I solve this problem then? Help Please!

Answers

You subtract 0.1492 from 0.1515. 0.1515-0.1492= positive 0.0023

The measures of the exterior angles of a convex pentagon can be represented as follows: angle 1=X, angle 2= 2x+9, angle 3=3x+4, angle 4=4x+11, angle 5=5x+18

Find the measure of each angle

Answers

Okay the measures would 4^5 if it is not going to the

Mr. Olaffsen opened a sandwich shop and a smoothie stand in his neighborhood.

The following table and equation show function f, representing Mr. Olaffsen's profit, in dollars, x months since opening the sandwich shop.

x 1 2 3 4 5 6 7
f(x) 12,000 15,500 18,000 19,500 20,000 19,500 18,000



The following table and equation show function g, representing Mr. Olaffsen's profit, in dollars, x months since opening the smoothie stand.

x 1 2 3 4 5 6 7
g(x) 9,300 12,000 14,100 15,600 16,500 16,800 16,500



Select the true statement.

A.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,200.
B.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,500.
C.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $3,000.
D.
The difference between the maximum profit earned by the sandwich shop and the smoothie stand is $2,700.

Answers

Answer: the difference between the max is 3,200.

Step-by-step explanation:

20,000-16,800= 3,200

Answer:

the difference between the max is 3,200.

Step-by-step explanation:

20,000-16,800= 3,200

f(x+h)-f(x)
Find the difference quotient
h
where h# 0, for the function below.
f(x) = 4x? -
-8
Simplify your answer as much as possible.
f(x + h) - f(x)
:
h
Х
Okay

Answers

9514 1404 393

Answer:

  8x +4h

Step-by-step explanation:

  [tex]\dfrac{f(x+h)-f(x)}{h}=\dfrac{(4(x+h)^2-8)-(4x^2-8)}{h}\\\\=\dfrac{(4x^2 +8xh+4h^2)-(4x^2-8)}{h}=\dfrac{8xh+4h^2}{h}\\\\=\boxed{8x+4h}[/tex]

A driveway is in the shape of a rectangle 20 feet wide by 25 feet long.
(a)
Find the perimeter in feet.

(b)
Find the area in square feet.

Answers

A= 20x25 so the area is 500
To find the perimeter you have to add both the width and length x2 so it’s 20+25 =45
45x2=90

Joan adopt two kittens snowflake has a mass of 2 kg and midnight has a mass of 997 g what is the difference between the masses of the kittens gram

Answers

Answer:

Given,

mass of snow flake = 2 kg

mass of midnight = 997 gm

Now,

1 kg = 1000 gm

2 kg = 1000 * 2

= 2000 gm

therefore the difference between the masses of the kittens = 2000

- 997

= 1003 gm (is the answer)

help with number 4 part a and b?

Answers

Part A

The vertex of a parabola is the lowest or highest point. The vertex in this graph is (2,-1).

Part B

You need to find the rate of change between the points when x=2 and x=3. When x=2, y=-1, and when x=3, y=0.5. You can find the average rate of change between these points by putting the difference of y over the difference of x. 0.5--1=1.5 and 3-2=1. The average rate of change is 1.5/1, or just 1.5.

In ABC, M2A = 55°, c = 11, and m2B = 19º. Find the perimeter of the triangle.

Answers

9514 1404 393

Answer:

  24.1

Step-by-step explanation:

The third angle is C = 180° -55° -19° = 106°. The law of sines can be used to find the other two sides:

  a/sin(A) = c/sin(C)   ⇒   a = c(sin(A)/sin(C))

  b/sin(B) = c/sin(C)   ⇒   b = c(sin(B)/sin(C))

Then the sum of the lengths of the sides is ...

  P = a + b + c = c(sin(A)/sin(C)) +c(sin(B)/sin(C)) +c

  = c(1 +(sin(A) +sin(B))/sin(C)) = 11(1 +(0.8192 +0.3256)/0.9613)

  ≈ 11(1 +1.1909) ≈ 24.0994

The perimeter of the triangle is about 24.1 units.

Math IIIB Performance Task: Piecewise-Defined Functions
Question Set 2

A parking garage charges the following amounts for cars parked in the garage:
For the first hour that a car is parked in the garage, there is no charge.
After the first hour, for the next two hours that a car is parked in the garage, there is a $5 charge.
After the third hour, the garage charges $2 for each additional hour that the car is parked in the garage. If a car is parked in the garage for a fraction of an hour, the garage will charge that fraction of the additional hourly rate.


Use the information provided about the parking garage to answer each of the following questions. Refer to the responses you submitted for Question Set 1 for support.


Sketch a graph to model the total cost of parking in the garage over the domain [0, 12]. (10 points)




Write the piecewise-defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage. (10 points)









The parking garage plans to change the structure of how much it charges for cars that park in it. A graph of the new total cost is shown below. Describe in detail the new structure. (10 points)

Answers

9514 1404 393

Explanation:

a) see the attachment for a graph (red curve)

__

b) The piecewise defined function can be ...

  [tex]\displaystyle C(x)=\begin{cases}0&0\le x\le 1\\5&1<x\le 3\\2x-1&3<x\le12\end{cases}[/tex]

__

c) The new cost function is ...

  [tex]\displaystyle C(x)=\begin{cases}10&0\le x\le5\\x+5&5<x\end{cases}[/tex]

The charge is a flat $10 for any period up to 5 hours, then $1 per additional hour after that, prorated for partial hours. There is apparently no upper limit on parking time as there was with the original function. (The graph shown goes beyond 15 hours; the domain of the original C(x) is 0 to 12 hours.) For reference, the new cost structure is shown in blue in the attachment.

_____

Additional comment

Under the new structure, costs are significantly higher for short-term parking, and lower once the term exceeds 6 hours.

What are the zeros of this function?

Answers

Answer:

A

Step-by-step explanation:

x=4 and x=6 is where the graph touches the x axis

it would be x=4 and x=6

Find the missing length indicated

Answers

Answer:

x = 15

Step-by-step explanation:

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