Drag each tile to the correct box. Not all tiles will be used.
Consider function f.
Place the steps for finding in the correct order.

Drag Each Tile To The Correct Box. Not All Tiles Will Be Used.Consider Function F.Place The Steps For

Answers

Answer 1

The steps to find the inverse function are given in the development of the answer of this problem.

How to find the inverse function?

The inverse of a function y = f(x) is found exchanging x and y and isolating y.

In this problem, the function is:

[tex]f(x) = \sqrt{7x - 21}[/tex]

Then the steps to find the inverse function is given as follows:

[tex]y = \sqrt{7x - 21}[/tex]

[tex]x = \sqrt{7y - 21}[/tex]

[tex]x^2 = 7y - 21[/tex]

[tex]x^2 + 21 = 7y[/tex]

[tex]\frac{1}{7}x^2 + 3 = y[/tex]

[tex]\frac{1}{7}x^2 + 3 = f^{-1}(x)[/tex], where [tex]x \geq 0[/tex].

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Related Questions

Determine the measure of each indicated angle. Show all necessary steps!

Answers

The measure of the unknown angle are; a) x = 89 degrees, b) p = 92 degrees.

What is the sum of all the angles of a regular polygon?

For a regular polygon of any number of sides, the sum of its exterior angle is 360°.

We already know that a 4-sided polygon's angles add up to 360 degrees.

So to find the value of x:

69 + 118 + 84 + x = 360

x = 360 - (69 + 118 + 84)

x = 89 degrees

b)

For a 4-sided polygon, we also know that the outside angles add up to 360 degrees.

So to find the value of p:

100 + 62 + 106 + p = 360

p = 360 - (100 + 62 + 106)

p = 92 degrees

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urgent please help with this function!!

Answers

Answer:

g(-2) = 0
g(4) = -4

Step-by-step explanation:

-2 works in the second equation because it is within the restrictions, therefore it is 0.
4 works in the third equation because it is within those restrictions, therefor it is -4.

Which table represents an arithmetic sequence?

Answers

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The table that represents an arithmetic sequence is the third table.

What is arithmetic sequence?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₓ = a₁ + (x-1)d

where d is the difference and a₁ is the first term of the sequence.

For the table to be in an arithmetic sequence, the difference between any two consecutive terms must be equal.

For the first table, the difference between the first two terms is -6, while for the next two terms it is -12. Thus, it is not an arithmetic sequence.In the second table, the difference between the first two terms is 2 while the difference between the next two terms is 4. Thus, it is not an arithmetic sequence.In the third table, the difference between the first two terms is 1.4, the difference between the next two terms is 1.4. Also, it last two terms the difference is 1.4. Thus, it is an arithmetic sequence.

Hence, the table that represents an arithmetic sequence is the third table.

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2,753 people go to a concert and tickets cost $5 each. If it costs $8,000 to put on the concert, how much money was made?

Answers

5765 was made, if you do 2753(5)-8000 you get 5765

Answer:

Money made by tickets=

2753 x $5 = $13765

We have to subtract the cost of the concert from the money made by tickets to get our profit. Therefore,

$13765 - $8000 = $5765

find the area and perimeter of the figures​

Answers

Answer:

6x+6 or 4x+10

Step-by-step explanation:

hope u like it

Answer:

a) 196cm^2

b) 225cm^2

c) 180 cm^2

Step-by-step explanation:

a) The figure is a square, so you can use the formula: a = l^2, or area equals length of one side squared.

a = (14cm)^2

a = 196cm^2

b) a = (15cm)^2

   a = 225cm^2

c) This one is a parallelogram, so it's trickier. However, we can imagine the figure as a rectangle by taking the small triangle that sticks out on the right and putting it into the gap in the left. Now, we can solve this using the formula for a rectangle: a = l x w.

a = l x w

a = 18cm x 10 cm = 180 cm^2

:)

raios of 3 The ratboys to 5 girls

Answers

5/3 = g/24 where g is the number of girls for 24 boys. Typing 5/3 = g/24 into the math tutoring calculator gives us g = 40.

Finding the LCM of algebraic term and algebraic expressions.​

Answers

Answer:

The LCM is made by multiplying all factors included in the factoring of the given expressions. Common factors are used once only and the one with the highest power is used. x + 3 is a factor in the first expressions is therefore used.

Step-by-step explanation:

helooooooo
bnbdnndnmfmfnfncncncncnncnc.... ​

Answers

Answer: I dont really understand your questions

Step-by-step explanation: find the solution to your problem

REARRANGE EQUATIONS PLEASE HELP ITS DUE IN TOMORROW

Answers

Answer:

from top to bottom:

x = y(v-w)

x = (yv/w)/2

x = (6+w)/v

x = (y-2w)/v

Step-by-step explanation:

If math 7x+10y=−3 is a true equation, what would be the value of 21x+30y?

Answers

The value of the expression 21x + 30y is -9

How to evaluate the expression?

The equation is given as:

7x+10y=−3

Multiply both sides by 3

3 * 7x + 3 * 10y=−3 * 3

Evaluate the product

21x + 30y = -9

Hence, the value of the expression 21x + 30y is -9

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Which two activities are examples of data collecting?
A. Using the results of a race to predict who will win future races
B. Weighing dogs
C. Graphing the lengths of fish in a pond
D. Asking people what their favorite show is

Answers

Answer:

C and D.

Step-by-step explanation:

In option C, they are collecting data about the lengths of fish in a pond.

In option D, they are collecting data about people's favorite show.

Hope this helps!

If not, I am sorry.

The answers are B. And D.

One polygon has a side of length 2 feet. A similar polygon has a corresponding side of length 4 feet. The
ratio of the perimeter of the smaller polygon to the larger is
021
01/2
014

Answers

Answer:

the largest is 014 because I did it and the teacher said it is correct

Step-by-step explanation:

teacher checked work

a women is 34 years older than her dauhter eiht years ago she was 3 times as old as her daughter what is the age of her daughter now? ​

Answers

Answer:

The daughter is 14 years old

Step-by-step explanation:

34+8=42

42÷3=14

Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling​

Answers

Vivian is traveling at 6 Noelle per hour and Noelle is traveling at  x+5 = 11 Noelle per hour.

What is speed?

Speed can be calculated as the ratio of distance traveled to the time taken.

Vivian and Noelle both leave the park at the same time, but in opposite directions, their total distance is the 136

Let Vivian's speed be = x

Let Noelle's speed be = x+5

They each can travel for 8 hours  

so time = 8 hours

Distance = speed × time

136 = x(8) + (x+ 5) 8

136 = 8x + 8x + 40

96 = 16x

x = 6

So, Vivian is traveling at 6 Noelle per hour and Noelle is traveling at  x+5 = 11 Noelle per hour.

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Factorise completely

qn: 12axy + 8bxy + 4xy

Answers

Answer:

Step-by-step explanation:

Answer:

4xy(3a+2b+1)

Step-by-step explanation:

1)  Find the Greatest Common Factor (GCF).

1 - What is the largest number that divides evenly into 12axy, 8bxy and 4xy?

It is 4.

2 -  What is the highest degree of [tex]a[/tex]  that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since a is not in every term.

3 -  What is the highest degree of [tex]x[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is x.

4 - What is the highest degree of [tex]y[/tex]  that divides evenly into  12axy, 8bxy and 4xy?

It is y.

5 -  What is the highest degree of [tex]b[/tex] that divides evenly into 12axy, 8bxy and 4xy?

It is 1, since [tex]b[/tex] is not in every term.

6 - Multiplying the results above,

GCF = 4xy

2)  Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]4xy(\frac{12axy}{4xy} +\frac{8bxy}{4xy} +\frac{4xy}{4xy} )[/tex]

3) Simplify each term in parentheses.

[tex]4xy(3a+2b+1)[/tex]

A scientist needs 10 liters of a 20% acid solution for an experiment, but she has only a 5% solution and a 40% solution. To the nearest tenth of a liter, about how many liters of the 5% and the 40% solutions should she mix to get the solution she needs? Write and solve an equation to match the situation.

Answers

Answer:

see below

Step-by-step explanation:

Acid in = acid out             acid out = 10 liters of 20% = .2 * 10 = 2

x = 5% amount

10-x = 40% amount

.05x  + .40 ( 10-x) =   .20 (10)

.05x + 4 - .4x = 2

-.35x = -2

x = 5.7 liters   of 5 %        10 - 5.7 = 4.3 liters of 40%

What are the soultions of the equation x^4 - 9x^2 + 8 = 0? Use u substitution to solve.​

Answers

Step-by-step explanation:

Let u=x^2.

Notice that

[tex] {x}^{4} - 9 {x}^{2} + 8 = 0[/tex]

[tex]( {x}^{2} ) {}^{2} - 9( {x}^{2} ) + 8 = 0[/tex]

[tex]u {}^{2} - 9u + 8 = 0[/tex]

[tex](u - 8)(u - 1) = 0[/tex]

[tex]u = 8[/tex]

[tex]u = 1[/tex]

Replace x^2= u

[tex] {x}^{2} = 8[/tex]

[tex]x = ±2 \sqrt{2} [/tex]

[tex] {x}^{2} = 1[/tex]

[tex]x = ±1[/tex]

So our answer is

[tex]±1 \: [/tex]

and

[tex]±2 \sqrt{2} [/tex]

A rectangle has perimeter 16 m. Express the area A (in m2) of the rectangle as a function of the length, L, of one of its sides.

Answers

The area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

What is the perimeter of a rectangle?

The perimeter of a rectangle is P = 2(L + W) where

L = length of the rectangle and W = width of the rectangle

Given that P = 16 m,

P = 2(L + W)

16 = 2(L + W)

16/2 = L + W

L + W = 8

So, W = 8 - L

What is the area of the rectangle?

The area of the rectangle, A = LW where

L = length of the rectangle and W = width of the rectangle

Since W = 8 - L, substituting W into the equation for A, we have

A = LW

A = L(8 - L)

A = 8L - L²

So, the area A of the rectangle as a function of the length, L of one of its sides is A = 8L - L²

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A car manufacturer is reducing the number of incidents with the transmission by issuing a voluntary recall. During week 2 of the recall, the manufacturer fixed 192 cars. In week 4, manufacturer fixed 184 cars. Assume that the reduction in the number of cars each week is linear. Write an equation in function form to show the number of cars seen each week at the mechanic.

f(x) = 4x + 200
f(x) = 2x + 192
f(x) = −4x + 200
f(x) = −2x + 192

Answers

Answer:

the answer is f(x)=2x+192

Answer:

The answer is F(x)=2x+192

the graph below shows the hourly wage of tina when she was working summer from high school through collage

Answers

The years in which Tina's raise was more than $0.50 an hour over the previous year are

2002

2004

2005

2006

2007

Calculating rate of pay

From the question, we are to determine the years in which her raise was more than $0.50 an hour over the previous year

Considering the graph

From year 2001 to 2002

Her raise was $6.50 - $5.50 = $1.00

From year 2002 to 2003

Her raise was $7.00 - $6.50 = $0.50

From year 2003 to 2004

Her raise was $7.75 - $7.00 = $0.75

From year 2004 to 2005

Her raise was $8.50 - $7.75 = $0.75

From year 2005 to 2006

Her raise was $10.50 - $8.50 = $2.00

From year 2006 to 2007

Her raise was $11.50 - $10.50 = $1.00

Hence, the years in which Tina's raise was more than $0.50 an hour over the previous year are

2002

2004

2005

2006

2007

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PLEASE HELP ME WITH THIS

Answers

Answer:

Decreases

Step-by-step explanation:

A negative correlation means the y is big when the x is small. As x gets bigger, y gets smaller.

If a hotel decreases the price of its rooms from $80 to $40. As a result, the total quantity demanded of its service increased from 2000 to 4000. Which type of price elasticity of demand does the hotel room have?








a.
Elastic


b.
Inelastic


c.
Perfectly inelastic


d.
Unitary

Answers

A. Elasic bc 2000 and 4000

look at the attachments


the last one at the bottomm c is200

please i really need help its khan

Answers

Answer:

all I know is the second on about world population in 2014 which was c

7•10⁹

Answer:

B

B

Step-by-step explanation:

there are 9 steps for the second question so it 10^9


and if you times the 1st population size by 20 you get very close to the second population size.

Sven makes bread rolls, he uses rye flour and wheat flour to the ratio 2:3. sven makes bread rolls using 250 g of rye flour, what mass of wheat flour does he use

Answers

rye: wheat = 2:3 = 250g of rye flour:Xg or wheat flour (two parts of rye flour to three parts of wheat flour)

2/2=1 part

250/2 = 125

so one part = 125g

125*3= 375

he uses 375g of wheat flour

sec(pi/2 -x) =csc x true or false

Answers

Answer:

true

Step-by-step explanation:

if you rewrite [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex] with trigonometric identities:

[tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex]    [tex]=\frac{1}{\sin \left(x\right)}[/tex]

[tex]\frac{1}{\sin \left(x\right)}[/tex]  [tex]=\csc \left(x\right)[/tex]

so, yes,  [tex]sec\left(\frac{\pi }{2}\:-x\right)[/tex]  [tex]=\csc \left(x\right)[/tex]

hope this helps!!

Find the vertex and focus of the
parabola:
y²-10y + 4x + 21 = 0
Vertex = ([?],
[]
Focus=([], [])

Answers

Answer:

Vertex: (1, 5)

Focus: (0, 5)

Step-by-step explanation:

Given that the parabola's equation is y² - 10y + 4x + 21 = 0, solve for the vertex and the focus.

Vertex:

Step 1: Isolate x to the left side of the equation; we get x = - (y² / 4) + (5y / 2) - (21 / 4).

Step 2: Complete the square of the previous equation; here we get - (1 / 4) * (y - 5)² + 1. x is squal to this.

Step 3: Use the vertex form, x = a(y - k)² + 1. a is - 1 / 4, h is 1, and k is 5.

Step 4: Fill in (h, k). We get the answer (1, 5) as the vertex.

Focus:

Step 1: Find p, and distance from the vertex to the focus. We can find p by using 1 / (4a).

Step 2: Simplify. This gives us -1 as p.

Step 3: We plug in the values we just got earlier to get the vertex. The focus of a parabola can be found by using: (h + p, k).

Step 4: Substitude the values. We have (1 + -1, 5).

Step 5: Simplify. Therefore, the answer is (0, 5).

This took me a long time to calculate. Please mark me as Brainliest!!!

This uservabove me did it all for you. I don't have much to say...

Where does f(x) = 3x2 – 11x – 4 intersect the x-axis?

Answers

Answer:[tex]x=-\frac{1}{3}, 4[/tex]

Step-by-step explanation:

Graphs intersect the x-axis where y=0, so we can set f(x)=0.

[tex]3x^2 - 11x-4=0 \\ \\ (3x+1)(x-4)=0 \\ \\ x=-\frac{1}{3}, 4[/tex]

Answer:

negative x intercept is at -1/3

positive x intercept 4

Step-by-step explanation:

Name a career that require data -analysis skills describe how data analysis skills describe how date analysis is used in this career be sepcific when typical values are given for salaries and housing prices the median is almost always given instead of mean.

Answers

A career as a Data Scientist would require data analysis skills.

What is the career for data analysis?

1) A career as a Data Scientist would require data analysis skills.

2) The Data Scientist computes and analyzes large amounts of data from different sources and then uses the results for interpretations. The skills required by a data scientist are skills In Statistics, calculus, Probability, Programming, Excel, Visualization, Database management, and Machine Learning. He also needs a high level of accuracy when solving problems.

3) The median value is used when the data set contains values that occur repeatedly and which contains some extremely high values. The mean value would aggravate towards higher values while the Median value would give a salary value that is an average of the data set. That is why the median value is used in salaries and housing prices calculations.

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Juniors and seniors were surveyed about whether they plan to attend a school dance.

94 out of 130 juniors plan to attend.
12 out of 140 seniors do not plan to attend.

The following table shows the results.
(see attachment for table)

What mistake was made in the table?

A. The total for the number of seniors is incorrect
B. The responses for the juniors are reversed
C. The number of juniors attending is incorrect
D. The responses for the seniors is incorrect

Answers

Mistake D. The response from seniors was reversed.

Answer:

The responses for the seniors are reversed.

Hope this helped!

There are 5 types of fruit in a basket. There are 3 apples, 2 bananas, 4 oranges, 5 kiwi,
and 1 passionfruit. You ask a friend to bring you a piece of fruit. What is the probability of them bringing you an apple?

Answers

The probability of bringing an apple is 0.20

How to determine the probability?

The distribution of the fruits is given as:

3 apples2 bananas4 oranges5 kiwi,1 passion fruit.

The probability of bringing an apple is:

P(Apple) = Apple/Total

This gives

P(Apple) = 3/(3 + 2 + 4 + 5 + 1)

Evaluate

P(Apple) = 0.20

Hence, the probability of bringing an apple is 0.20

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