Which equation is the inverse of 5y+4= (x+3)²+?
0y=x²+x+
○ y=3± √ √5x+7
O-5y-4--(x+3)²--
○ y=-3± √√5x+7

Answers

Answer 1

explantation

Step-by-step explanation:

it's -5y-4--(x+3)

Answer 2

The inverse of the function is f⁻¹ ( x ) = √(5x + 4) - 3

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

5y + 4 = ( x + 3 )²

On simplifying , we get

5y + 4 = (x + 3)²

5y = (x + 3)² - 4

Divide by 5 on both sides , we get

y = [(x + 3)² - 4]/5

Now , the inverse of the function is f⁻¹ ( x )

On interchanging x and y in the equation , we get

x = [(y + 3)² - 4]/5

On solving for y , we get

5x = (y + 3)² - 4

5x + 4 = (y + 3)²

√(5x + 4) = y + 3

Subtracting 3 on both sides , we get

y = √(5x + 4) - 3

f⁻¹ ( x ) = √(5x + 4) - 3

Hence , the inverse is f⁻¹ ( x ) = √(5x + 4) - 3

To learn more about function rule click :

https://brainly.com/question/3760195

#SPJ7


Related Questions

Write the equation in slope-intercept form. -5x+15y=-30

-please help before 12:00-

Answers

y= 1/3x-2
in slope- intercept form!

Work out the following sheet

Work out the following sheet

Answers

Answer: MNO is  an isosceles triangle

Step-by-step explanation:

the right hand corner is 80 degrees and the left one is 45 degrees, you work this out by knowing a straight line is 180 degrees, 180-110 is 70. 55+70=125 and then 180-125 is 55.

not sure how to solve the second question so maybe repost it, hope i helped :D

Expand 5(x + 6)
Anyone know the answer?

Answers

it’s 5x+30 just distribute the 5 to what is in the parentheses

Answer:

5x+30

Step-by-step explanation:

we just open the bracket and multiply

Need help please confused

Need help please confused

Answers

Answer:

a. 11.6 (rounded to nearest tenth)

b. Yes

Step-by-step explanation:

a²+b² = c²

6²+10² = c²

36²+100 = c²

136 = c²

√136 = √c²

11.6  = c

b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.

Solve this inequality 15n<8n-21

Answers

The solution of the inequality 15n>8n-21 is given by, n<-3.

Inequality is a relation between two or more mathematical expression or quantities via unequal signs i.e. greater, less, greater or equal, less or equal, not equal.

Given that the inequality is 15n<8n-21

Solving the inequality we have,

15n<8n-21

15n-8n<8n-21-8n, subtracting from both sides

7n<-21

n<-3, dividing 7 from both sides

So the solution of the given inequality is, n<-3.

To know more about Inequality refer to:

https://brainly.com/question/24372553

#SPJ1

I need help ASAP. thank you in advance!

I need help ASAP. thank you in advance!

Answers

Answer:

True, depending on where f(x) is located

Step-by-step explanation:

Some students are making muffins for a fundraiser. They have already made 80 muffins
and they can make 30 muffins in an hour. How many additional hours would they spend
to make 380 muffins?

Answers

Answer:

10 hours

Step-by-step explanation:

380 - 80 = 300

30 : 1 = 300 : x

x = 300 / 30

x = 10

Which of The following system of equations is solved, what would be the value of the Y coordinate?

3x + 4y = 7
6x - 4y = 38

A)5
B)-5
C)2
D)-2

Answers

The answer would be D) -2
Answer is (-2) i hope just cheak it

In ΔQRS, s = 4.2 cm, m∠R=160° and m∠S=8°. Find the length of r, to the nearest 10th of a centimeter.

Answers

Answer:

  10.3 cm

Step-by-step explanation:

You want the measure of side 'r' in triangle QRS, given s = 4.2 cm, R = 160°, and S = 8°.

Law of sines

The law of sines tells you side lengths are proportional to the sine of the opposite angle.

  r/sin(R) = s/sin(S)

  r = s×sin(R)/sin(S) = (4.2 cm)sin(160°)/sin(8°)

  r ≈ 10.3 cm

<95141404393>

If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard deviation. Otherwise, use the values Σx = 2769 and Σx2 = 132,179 to compute the sample mean and sample standard deviation. (Round s to four decimal places.)

Answers

By using a statistical calculator, the actual sample mean and sample standard deviation are:

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

How to calculate the sample mean for the set of data?

In Mathematics and Geometry, the sample mean for any set of data can be calculated by using the following formula:

Mean = ∑x/(n - 1)

∑x represents the sum of all data values.(n - 1) represents the number of data contained in a sample.

In Mathematics and Geometry, the sample standard deviation for any set of data can be calculated by using the following formula:

Standard deviation, δx = √(1/N × ∑(x - \(\bar{x}\))²)

x represents the observed values of a sample.\(\bar{x}\) is the mean value of the observations.N represents the total number of of observations.

By using a statistical calculator, the actual sample mean and sample standard deviation are as follows;

Actual sample mean = 46.1500.

Actual ample standard deviation = 8.6256.

Read more on standard deviation here: brainly.com/question/14467769

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard
If you have a statistical calculator or computer, use it to find the actual sample mean and sample standard

Can someone help me with this one problem?

A pool is filling with water at a rate of 45 gallons every 5 minutes,
How many gallons of water will be in the pool in one hour?

Answers

If 45 gallons are filled every 5 minutes and there’s 60 minutes in an hour so you’d have to divide to see how many times 5 is in 60 so 60 divided by 5 is 12. So you’d do 12 x 45= 540. Therefore your answer is 540 gallons of water will be in the pool in one hour.
How many minutes are in 1 hour which is 60 min divide by 5 and it would be 12 now do 45x12 =540

A worker in the USA is paid $22,000 per year as a gross salary. The worker is asked to reduce her salary to $19,000 per annum. What is the percentage decrease? Round you answer to the nearest whole percent.

Answers

22,000 to 19,000

22,000 - 19,000 / 22,000 x 100
3,000/22,000 x 100
0.136363636363636 x 100

13.63636363636364%
13.64%
14%

~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~

~!!!!! LEASE HELP ME IN IN 7TH GRADE LEARNING 9TH AND 8TH !!!!!!~

Answers

Answer:

15 dollers per hour

Step-by-step explanation:

HOPE THIS HELPS!

BRAINLIST?????

Answer:

The fixed cost is 15 dollars an hour.

Step-by-step explanation:

At zero hours it is 15 dollars so y=5x+15

After each hour the price goes up by 5 dollars so it is 5 dollars an hour.

A sample of bacteria is growing at an hourly rate of 14% according to the continuous exponential growth function. The sample began with 7 bacteria. How many bacteria will be in the sample after 22 hours?

Answers

Answer:

125.0272

Step-by-step explanation:

7 (1.14)^22

Each hour it grows 14%. This means after 1 hour, it has grown 7*1.14. After two hours 7*1.14 (1.14) or 7*(1.14)^2, etc so after 22 hours use equation above to solve.

After 22 hours the bacteria will be 125 bacterias.

The growth rate of bacteria is given an exponential growth rate of 14%. Initially, there are 7 bacteria after 22 hours what would be the numbers of bacteria to be determined.

what is an exponential function?

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Function for the growth rate of the bacteria is given by
= 7(1+14%)^x
=  7(1.14)^x

For 22 years,
= 7 (1.14)^22
= 125


Thus, After 22 hours the bacteria will be 125 bacterias.            

learn more about exponential function here:
https://brainly.com/question/15352175

#SPJ2

Deshaun runs 4 miles in 30 minutes. At the same rate, how many miles would he run in 48 minutes?

Answers

Answer:

miles = 48(2/15)

miles = 96/15

miles = 6.4 miles

Step-by-step explanation: your welcome

Answer:

At the same rate, how many miles would he run in 48 minutes. --- miles/time = miles/time miles/48 min = 4 mi/30 min ---- miles = 48 ...

Step-by-step explanation:

relations and mapping


Answers

What's the question ???

The Bayside Bugle charges by the word to run automotive ads. The newspaper
charges $18 for the first 20 words and $0.35 for each additional word. How much
would a 27-word ad cos?

Answers

Answer:

$20.45

Step-by-step explanation:

Since the Bayside Bugle charges $18 for the first 20 words and there is more than 20 words in the ad you take 27-20 and you get 7 additional words.

Now we know that we already have to pay $18 for the first $20 words.

Since we have 7 additional words we multiply that by 0.35 cents and you get $2.45.

Next we add up our two numbers (2.45+18) we get the total of $20.45 fro a 27-word ad.

I hope this helps :)

The cost of 27 word ad is $20.45

What is Equation?

An equation is a mathematical expression that contains an equals symbol.

Given that, The Bayside Bugle charges by the word to run automotive ads. The newspaper charges $18 for the first 20 words and $0.35 for each additional word

Let the total be cost C and number of additional words be n, the equation =

C = 18 + 0.35n

For 27 additional words, the cost will be,

C = 18 + 0.35*7

C = 18 + 2.45

C = 20.45

Hence, The cost of 27 word ad is $20.45

For more references on the Equation, click;

https://brainly.com/question/10413253

#SPJ2

Ethan buys a bag of cookies that contains 6 chocolate chip cookies, 5 peanut butter cookies, 7 sugar cookies and 7 oatmeal cookies.

What is the probability that Ethan reaches in the bag and randomly selects an oatmeal cookie from the bag, eats it, then reaches back in the bag and randomly selects a peanut butter cookie?

Answers

Answer:7/25 × 5/24

Step-by-step explanation:

7 oatmeal 25 all together

Then 5 peanut butter 24 left since he ate one

The probability of randomly selecting an oatmeal cookie first is approximately 7/25, and the probability of selecting a peanut butter cookie second is approximately 5/24.

Use the concept of probability defined as:

Probability is defined as the ratio of the total number of favorable outcomes to the total number of outcomes.

Given that,

Ethan buys a bag of cookies.

The bag contains different types of cookies:

chocolate chip, peanut butter, sugar, and oatmeal.

The quantities of each type of cookie in the bag are:

6 chocolate chip cookies

5 peanut butter cookies

7 sugar cookies

7 oatmeal cookies

To calculate the probability,

To determine the total number of cookies in the bag and the number of oatmeal cookies and peanut butter cookies.

In this case,

Ethan has a total of,

6 + 5 + 7 + 7 = 25

So there is 25 cookies in the bag.

Since there are 7 oatmeal cookies in the bag.

So, the probability of randomly selecting an oatmeal cookie first = 7/25,

After eating the oatmeal cookie,

There are now 24 cookies left in the bag, with 5 peanut butter cookies remaining.

Therefore,

The probability of randomly selecting a peanut butter cookie second is 5/24

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

what is the value of x?
please help!!

what is the value of x? please help!!

Answers

Answer: 20

Step-by-step explanation:

Answer is x .= 70

Step by step

The two angles will equal 180 degrees as a complementary angle.

So your equation is

2x + 40 = 180

Solve for x

Subtract 40 from both sides to isolate x

2x + 40 - 40 = 180 - 40

2x = 140

Divide both sides by 2 to solve for x

2/2 x = 140/2

x = 70

Now check your work

2x + 40 = 180

2 (70) + 40 = 180

140 + 40 = 180

180 = 180

Problem solved!

9. Difference between the place values of "1" in 3116365 is​

Answers

The place value of the first "1" in 3116365 is 10,000, and the place value of the second "1" is 100. Therefore, the difference between the place values of the two "1"s is 9,900.

If the least value of n is 4, which inequality best shows all the possible values of n?
n ≤ 4
n ≥ 4
n < 4
n > 4

Answers

If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct

What are inequalities?

Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.

We use these symbols to represent inequalities, '>' , '<', '≥', '≤'

Given that,

The least value of n is 4,

Inequality representation = ?

It is known that,

Least value  of n is 4

So, Minimum possible value of n is 4

Maximum value of n should be more than 4,

In order to satisfy the condition,

So,

n  > 4

By combining both the things,

It can be written as,

n ≥ 4

Hence, the best inequality representation is n ≥ 4

To know more about inequalities check:

https://brainly.com/question/28823603

#SPJ1

the width of a rectangular prism is 7cm, height is 5cm and length is 13 cm. find the volume​

Answers

455 cm

7 x 5 x 13 = 455
Given:Width= 7 centimetersHeight= 5 centimeters Length= 13 centimetersTo find:

The volume of the given rectangular prism.

Solution:

\(\huge\boxed{Formula: lwh}\)

To find the the volume we'll have to multiply the height, width and length.

\(V=\: 13×7×5 \)

\(\large\boxed{V= \:455\: {cm}^{3}}\)

Therefore, the volume of the given rectangular prism is 455 cubic centimeters.

What number is marked by the box on the number line?
A 24
B 26
C 30
D 36

Pls help me
These are my finals

What number is marked by the box on the number line? A 24B 26C 30D 36Pls help me These are my finals

Answers

Answer:

If you choose for C you'll get the wright answer,

This is because V26 is more towards V25. This has the outcome of a little bit more than the squarerooth of 25, if you have V34 it is more towards V36 which is 6. Since V30 is in between them it is the right answer +- 5.48 as an outcome

Step-by-step explanation:

Please answer this I will give brainliest

Please answer this I will give brainliest

Answers

lol i donyt k n o w thts just dum

The product of two numbers is 126 . The smaller number is 5 less than the larger number. Which of the following equations can be used to solve for the larger number?

Answers

Answer:

Step-by-step explanation:

45

how much would EZ Excavation charge to haul 40 cubic yards of dirt

how much would EZ Excavation charge to haul 40 cubic yards of dirt

Answers

Given the line on the graph, we have that it passes through the points (1,25) and (2,50), then we can find the relation function with the slope-point equation of the line:

\(\begin{gathered} \text{slope:} \\ m=\frac{y_2-y_1}{x_2-x_1} \\ \Rightarrow m=\frac{50-25}{2-1}=\frac{25}{1}=25 \\ y-y_1=m(x-x_1) \\ \Rightarrow y-25=25(x-1) \\ \Rightarrow y=25x-25+25=25x \\ y=25x \end{gathered}\)

we have that the cost of the dirt is given by the equation y=25. To find how much would it be for 40 cubic yards of dirt, we make x=40 and we get the following:

\(\begin{gathered} x=40 \\ \Rightarrow y=25\cdot40=1000 \\ y=1000 \end{gathered}\)

therefore, the cost to haul 40 cubic yards of dirt is $1000

NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS

NEED HELP ASAP WILL GHVE BRAINLEST AND TONS OF POINTS

Answers

The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

How to calculate the value of the missing sides of the given triangle?

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

Learn more about triangles here:

https://brainly.com/question/28470545

#SPJ1

Solve this equation for x. Round your answer to
the nearest hundredth.
3 = In(x + 9)

Solve this equation for x. Round your answer tothe nearest hundredth.3 = In(x + 9)

Answers

Answer:

x ≈ 11.09

Step-by-step explanation:

Using the rule of logarithms

\(log_{b}\) x = n ⇒ x = \(b^{n}\)

Given

ln(x + 9) = 3 , that is

\(log_{e}\) (x + 9) = 3 , then

x + 9 = e³ ( subtract 9 from both sides )

x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )

A triangle. A ABC, has angle measures of 82*, 75, and 23' and no sides equal (congruent) in length. How would this triangle be
classified?
Equilateral right
Isosceles obtuse
O Scalene acute
Isosceles acute

A triangle. A ABC, has angle measures of 82*, 75, and 23' and no sides equal (congruent) in length. How

Answers

The triangle given is a scalene acute triangle

Classification of Triangle

A triangle can be classified based on the measures of its angles and the lengths of its sides.

In this case, the angle measures of the triangle are 82, 75, and 23 degrees. Since the sum of the angles in a triangle is always 180 degrees, we can verify that these angles satisfy this condition: 82 + 75 + 23 = 180.

The triangle is not an equilateral triangle because all the sides are not of equal length.

The triangle also doesn't have one right angle so it can't be right triangle.

Now, as per the angle measures, none of the angles are right angles, but one angle is greater than 90 degree, so this triangle is not acute triangle.

So, this triangle is not an Obtuse triangle since it has no angle greater than 90 degrees.

As the triangle has no sides of equal length, it is also a Scalene triangle.

Therefore, the triangle would be classified as a Scalene acute triangle (c).

Learn more on classification of triangle here;

https://brainly.com/question/9497404

#SPJ1

a sample of size n will be selected from a population with population proportion p . which of the following must be true for the sampling distribution of the sample proportion to be approximately normal?

Answers

The sampling distribution  of the sample proportion is approximately normal when the sample size (n) is large and the population proportion (p) is close to 0.5.

This can be mathematically expressed as follows:

\(n*p > 10 and n*(1-p) > 10\)

To illustrate, let's say we are sampling from a population with a proportion of 0.3. For the sampling distribution to be approximately normal, the sample size (n) must be larger than 33.3 (n > 33.3). This is because \(33.3*0.3 = 10 and 33.3*0.7 = 23.3\).

In other words, the sample size (n) must be large enough so that the product of the sample size (n) and the population proportion (p) is greater than 10 and the product of the sample size (n) and the population proportion (1-p) is also greater than 10. This ensures that the sampling distribution of the sample proportion is approximately normal.

To sum up, the sampling distribution of the sample proportion is approximately normal when the sample size (n) is large and the population proportion (p) is close to 0.5.

Learn more about sampling distribution here:

https://brainly.com/question/30004083

#SPJ4

Other Questions
Whats (2^1)^3 with the same base but one exponent?? PLEASE HELP WILL MARK BRAINLIEST Which object would have MORE kinetic energy?A cheetah going 70 mphA motorcycle going 70 mphMr. Woodward & Mr. Guzzi running 70 mph (haha, they wish)A dump truck going 70 mph Regarding the CAP protein involved in lac operon regulation, which of the following statements is false? Select one: a. It forms a dimer b. It increases the rate of transcription c. It senses the lactose levels d. It binds to the CAP site on the DNA e. It is a transcription factor All of you Guys plz follow me fast because I have some Questions to ask You fast Follow I am waiting Fast Guys . what is the resonant frequency of a 0.500 mh inductor connected to a 40.0 f capacitor? A figure skater is spinning slowly with arms outstretched. Shebrings her arms in close to her body and her moment of inertiadecreases by 1/2. Her angular speed increases by a factor ofA. 2B. 1C. 4D. square root of 2E. 1/2 A birthday cake at the bakery was $30 originally. During a sale, a discount of 28% was given. A further 15% discount was given to those customers who ordered a month earlier. How much would a customer who orders a month earlier need to pay for the birthday cake during the sale? Level 5 leaders have:a.the ability to meet all challenges without assistance.b.no responsibility for their company's success.c.no need for the limelight.d.a strong drive for personal success. Duweynie Pottery, Inc., is divided into two operating divisions: Pottery and Retail. The company allocates Power and General Factory department costs to each operating division. Power costs are allocated on the basis of the number of machine hours and general factory costs on the basis of square footage. No effort is made to separate fixed and variable costs; however, only budgeted costs are allocated. Allocations for the coming year are based on the following data: Solve for General Factory first then Power. Round all allocation ratios to four significant digits. Round all allocated amounts to the nearest dollar.Required: Provide the missing amounts.Support DepartmentsOperating DivisionsPowerGeneral FactoryPotteryRetailOverhead costs$150,000 $160,000$98,000 $ 56,000Machine hours2,0001,0006,9003,100Square footage2,0001,7004,0006,0001. Allocate the support service costs using the direct method.Allocation RatiosPotteryRetailProportion of machine hours.69.31Proportion of square footage.40.60Cost AllocationsPotteryRetailPower $ 103,500$ 46,500General Factory64,000 96,000Direct costs 98,00056,000$ 265,500$ 198,5002. Allocate the support service costs using the sequential method. The support departments are ranked in order of highest cost to lowest cost. If an amount is zero, enter "0".Allocation RatiosPower General FactoryPotteryRetailMachine hours _____ 0.69.31Square footage _____ 0_____ _____ Cost AllocationsPower General Factory Pottery RetailDirect costs$150,000$160,000$98,000$ 56,000General Factory$ $ _____ _____ _____ $ $ _____ _____ $ _____ 80,000Power$ _____ $ _____ $ _____ _____ $ Cost after allocation $0$0$ $ 3. Allocate the support service costs using the reciprocal method. If an amount is zero, enter "0".Allocation RatiosPowerGeneral FactoryPotteryRetailMachine hours0_______________ ______ ______ Square footage ____0______ ______ Cost AllocationsPottery RetailGeneral Factory$ $ Power $ $ Direct costs$ $ Cost after allocation $ $ if carbolfuchsin was omitted from the acid-fast stain, what color would acid-fast cells appear Eva bought 20 chicken wings for $20.00. If Eva spent $18.00, how many chicken wings did she buy? if a person burns their boat in order to claim the insurance money, they have committed arson.true or false What orbitals are overlapped to form the bond between the nitrogen atoms in 1.1.2-trimethylhydrazine molecule? a. The app hybrid orbital of each nitrogen and the sp non-hybrid orbital of each nitrogen are overlapped b. The sp hybrid orbital of each nitrogen are overlapped c. The phybrid orbital of each nitrogen are overlapped. d. The sp hybrid orbital of each nitrogen are overlapped. Hello! Can someone help me, please? Thank you so much! Topic: possibility.How many double digit numbers are there where the two digits are different from each other ? Based on this equation 3/4 (8y +12) = 3y - 15, what is 2y - 3? Show that the product of two consecutive natural odd numbers is always an odd number. please answer it with clear explanation..... Calculating a marginal abatement cost curve, also known as a MAC curve or MACC, is the activity of mapping out the cost-effectiveness of GHG ... A solution containing molecular nonpolar molecules will conduct electricityTrue or False? 500,000 x 16=____________ x 0.44= _______ divided by 4PLZ IF ANYONE KNOWS IT, I NEED IT BY TODAY ANYONE HELP!!! THANKS :