Find the inverse of the function y = x2 – 12

Answers

Answer 1

Answer: [tex]y=\sqrt{x+12}[/tex]

Step-by-step explanation:

I hope you mean y = x² - 12 and not y = 2x - 12.

You switch the y and x variables:

x = y² - 12

And solve for y:

x + 12 = y²

[tex]y=\sqrt{x+12}[/tex]


Related Questions

Its about similar figures and scale drawing
No links

Answers

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

1.) What is the domain and range of the function in the graph?
2.) What is the average rate of change over the interval [1, 0]?

Answers

Answer:

Domain → (-∞, ∞)

Range → (-2, ∞)

Step-by-step explanation:

1). Domain of a function is defined by the input values (set of x-values) and Range of the function is defined by the output values (set of y-values).

From the graph attached,

Function is defined for all real values of x.

Therefore, domain of the function will be (-∞, ∞).

On y-axis values of the function vary from -2 (excluding 2) to positive infinity.

Therefore, range of the function will be (-2, ∞).

2). Average rate of change of a function in the interval (a, b) is defined by,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

By using this expression we can find the average rate of change in the given interval.

Please give the correct interval for which the average rate of change is to be calculated.

The graphs below have the same shape. What is the equation of the blue graph?

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

werwegwrvetvytby46bu46unu46e8mn667mmmm

Step-by-step explanation:m7

ui 6ei 67i77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777mmm

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4

Answers

Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

Helpppp me plzzzzzzxzz

Answers

Can you please take a better picture so I can see it better

Find the equation of the line shown.
У.
4
3
2
х
4-3-2-19
B 46

Answers

Answer:

The equation is:

Y=2x-1

Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit?

Answers

Answer:

What are the statements?

Step-by-step explanation:

Solve using suitable properties. Also mention the names of the property used. -3/4 × 4/5 - 1/2 × 1/4 +4/5 × 7/5​

Answers

Answer:

0.395

Step-by-step explanation:

We need to solve the given expression.

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]

We can also write it as :

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)

So,

[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]

So, the value of the given expression is equal to 0.395.

Help and explain please !!!

Answers

Answer:

D

Step-by-step explanation:

f(x) = x-4

f(3.2) = -3.2-4

= -7.2

The question is in the image

Answers

Answer:

$9

Step-by-step explanation:

f(x) = - 25 ( x - 9 )² + 200

when x = 5 ,

f(5) = - 25 ( 5 - 9 )² + 200 = - 200

when x = 9 ,

f(9) = - 25 ( 9 - 9 )² + 200 = 200

when x = 10 ,

f(10) = - 25 ( 10 - 9 )² + 200 = 175

when x = 15 ,

f(15) = - 25 ( 15 - 9 )² + 200 = -700

∴ when price = $9

the company receive the maximum profit

Answer:

9$

Step-by-step explanation:

f(x)=-x^2-9x find f(-2)

Answers

Answer:

14

Step-by-step explanation:

put -2 where x is

f(x)=-x^2-9x

f(-2)= -(-2)^2 -9(-2)

f(-2)= -4 + 18

f(-2)= 14

What are the solutions to the quadratic equation 3(x – 42 = 752

Answers

X=292.6

Step 1: distribute 3 through parentheses
3x-126=752

Step 2: move the constant to the right and change it sign
3x= 752+126

Step 3: add the numbers
3x= 878

Step 4: divide both sides by three
X= 878/3 or 292.6

Graph: Y - 3 = 1/2 (x+2)

Answers

Answer:

see graph

Step-by-step explanation:

Personally I put into slope intercept form before graphing

y - 3 = 1/2 (x+2)

y -3 = 1/2x + 1

y = 1/2x + 4

4 is y-intercept    

1/2 is slope. [tex]\frac{Rise= 1}{Run= 2}[/tex]

pls help will mark brainliest

Answers

Answer:

C

Step-by-step explanation:

The other answers have inputs (x) that have multiple outputs (y) which goes against the definition of a function.  For example in answer D zero has both the outputs of 7 and 52 which can not happen in order to be a function.  However outputs can have multiple inputs just not the other way around.

The scale on a map is 1cm = 250 km. What would be the distance on the map, if the actual distance between the two cities is 1,000km? *​

Answers

Answer:

so if its actually 1000 and that map thing is 250

250 goes into 1000 4 times so

4cm

Hope This Helps!!!

I need help with this it’s saying the “blank” Method would be the best for solving this system of equations

6x + 4y=8
-x+4y=12

Answers

Answer:

-12+4y=x..............1

6(-12+4y)+4y=8

-72+24y+4y=8

28y=80

y=3.33

-12+4(3.33)=x

1.32=x

which of the gollowing cirxles lie completely within the third quadrant? Check all that apply​

Answers

Option B

Option C

These two circles lie completely within the third quadrant

Answered by GAUTHMATH

Please helpppp
Find l.

Answers

Answer:

Step-by-step explanation:

radius of base=8/2=4 ft

l²=4²+9²=16+81=97

l=√97 ft

Mitchell and his friends went to the candy store, where they can buy candy by the pound. Mitchell bought 1.2 pounds of candy. His friends bought 2.3 pounds and 1.8 pounds. About how many pounds of candy did they buy altogether?
rounding

Answers

Answer:

5.3 pounds

Step-by-step explanation:

1.2 plus 1.8 is 3 pounds

then you add 3 pounds plus 2.3 lbs and you get

5.3 pounds

Answer:

5.3

Step-by-step explanation:

If you add how much Mitchell bought (1.2) and how much his friends bought (2.3), (1.8) therefore the answer is 5.0 or rounded is just 5

what is the equation of the line shown?

Answers

Answer:

y=1/2x+1/2

Step-by-step explanation:

the line intercepts at (0,0.5) which makes the y-intercept 1/2 and if you look at the slope, it increases 1 unit up and 2 units to the right so the slope is also 1/2

The equation of line is y= 1/2x+ 1/2.

What is Slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the graph as (-1, 0) and (3, 2).

So, slope of line = (2 - 0)/ (3 -(-1))

                            = 2/4

                            = 1/2

Now, slope- intercept form

y- 0 = 1/2 ( x-(-1))

y= 1/2x + 1/2

Hence, the equation of line is y= 1/2x+ 1/2

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ2

The width of this rectangle is measured as 19.4 correct to 1 decimal place. What is the lower bound for the area of the rectangle

Answers

Answer:

:D

Step-by-step explanation:

19.35 = 7062.75 mm²

help leee plzzzzzzzbbbnbbbb

Answers

The solution is where the two lines intersect.
the answer would be d i think

Which of the following represents the divisor and the dividend for the
synthetic division problem below?


Answers

Answer:

option D is correct

Step-by-step explanation:

Given data

From the given expression/options of answers, option D is correct

This is because the given expression in the attached file corresponds to the terms in option D

WILL GIVE BRAINLIEST AND 20 POINTS!
PLEASE SHOW WORK1
f={(−2,−5),(3,−1),(1,−1)} and g={(1,1),(−1,−2),(−4,1),(−3,−1)}
Find (f+g)(1).

Answers

Answer:

[tex](f+g)(1)=0[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle f=\left\{(-2, -5), (3, -1), (1, -1)\right\}\text{ and } \\ \\ g = \left\{(1, 1), (-1, -2), (-4, 1), (-3, -1)\right\}[/tex]

And we want to find the value of (f + g)(1).

Recall that this is equivalent to:

[tex]=f(1)+g(1)[/tex]

According to the set, f(1) = -1 and g(1) = 1. Hence:

[tex]=(-1)+(1)=0[/tex]

I need help figuring out what the answer is.

Answers

Answer:

A

Step-by-step explanation:

Is 7 1/5 times 49 7/5 equivalent to 343

Answers

Step-by-step explanation:

7 1/5=36/5

49 7/5=252/5

[tex] \frac{36 \times 252}{5 \times 5} \\ = \frac{9072}{25} \\ = 362.88[/tex]

not equal to 343

Brainliest please~

Find the area of the square whose length is 3.5 inches?

Answers

Answer:

[tex]12.25[/tex]

Step-by-step explanation:

Area of square is

[tex] {s}^{2} [/tex]

where s is the side length.

3.5 is s so the answer is

[tex]3.5 {}^{2} = 12.25[/tex]

Answer:

Area = 12.25 square inches

Step-by-step explanation:

[tex]Given \ length \ of \ a \ side \ of \ the \ square = 3.5 \ inches \\ \\Area \ of \ a \sqaure \ = side \times side = 3. 5 \times 3.5 = 12.25 \ in^2[/tex]

1.A dozen bananas cost nu; 24? a/how much do 3dozen bananas cost? b/what is the cost of 6bananas? c/what is the cost of 1banana's?​

Answers

Answer:

12 banana cost=Rs.24

now

a)3dozen bananas=24/12×36=Rs.72

b)cost of 6bananas =24/12×6=Rs.12

c)cost of 1 banana =24/12×1=Rs.2

Score for Question 2: ___ of 5 points) 2. Write the equation of the circle in general form. Show your work.

Answers

Answer:

[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]

Step-by-step explanation:

Given

See attachment for circle

Required

The circle equation

First, we get the radius of the circle.

From the attachment, we have:

[tex]r = 3[/tex]

Next, the center of the circle

[tex](h,k) = (-1,1)[/tex]

The equation of the circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

This gives:

[tex](x - -1)^2 + (y - 1)^2 = 3^2[/tex]

[tex](x +1)^2 + (y - 1)^2 = 3^2[/tex]

Expand

[tex]x^2 + 2x + 1 + y^2 - 2y + 1 = 9[/tex]

Collect like terms

[tex]x^2 + y^2 + 2x - 2y + 1 + 1 - 9 = 0[/tex]

[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]

Hence, the equation in general form is:

[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]

john owns a truck. he rents out the truck with himself as a driver for $75 per hour. last month john earned $6375 how many of hours of work is that for john and his truck.

Answers

it would be 85 hours because 6375÷75=85
Other Questions
What is the value of a+b? A) 110B) 125C) 135D) 145Please help!!!! the perimeter of a rectangle garden is 330 feet. If the length of the garden is 94 feet , what is its width ? Birds use specific songs, coloring, and mating dances to attract mates of their species. This is an example of _____ reproductive isolation. In 2010 the Federal Reserve Board (the Fed) reported that nonfinancial companies in the United States had around $2 trillion in cash and short-term liquid assets. As the U.S. economy was still struggling, consumer spending remained low, and companies resisted in investing in new projects that would create value for their stakeholders.As the economy improves, uncertainty in the markets decreases, and companies will start investing in projects. However, the challenge of analyzing and selecting projects that would generate cash flows and returns and add value to the firm would remain.The assumptions in the analysis about cost of equity and debtoverall and for projectshave a significant impact on the type and the value of investments that a company makes.According to the Association of Finance Professionals report, published in 2011 on current trends in estimating and applying the cost of capital, companies use a discount rate that is usually above or below 1% of the companys true rate. Using this information and certain inputs from the Fed, Michael Jacobs and Anil Shivdasani estimated that a 1% drop in the cost of capital leads U.S. companies to increase their investment by about $150 million over three years.Based on your understanding of the concept of cost of capital, which of the following statements are valid? a. Companies always use the weighted average cost of capital (WACC) as the discount rate to analyze the financial viability of projects.b. A companys estimate of cost of capital impacts its application in the analysis of new investments that, consequently, affects the value of the firm and shareholders wealth.c. Investors care about the incremental value addition that new projects are making; they are least concerned with the discount rates that the company uses.d. Companies incorporate the required rate of return in the cost of capital to compensate investors for the components risks. A self-serve frozen yogurt shop has 8 candy toppings and 4 fruit toppings to choose from. How many ways are there to top a frozen yogurt?hint.. correct answer is 4096 An audience of 2250 fills a concert hall of volume 32000 m^3. If there were no ventilation, by how much would the temperature of the air rise over a period of 2.0 h due to the metabolism of the people (70 W/person)? What qualities contribute to a person's positive self-image?Select all that apply.resisting peer pressuredisregarding authorityshowing self-confidencelimiting self-efficacy II/ Choose the best answer: 1. Peter studies hard pass the exam. D. in order that A. less C. to B. so that 2. A small fish needs camouflage to hide itself its enemies cannot find it. D. due to A. so that C. therefore B. because 3. He felt ill. he went to bed early. D. SO A. and C. or B. but 4. We decided to join the English speaking club improve our English. D. to A. so that C. in order B. so to 5. She worked hard everything would be ready by 6 o'clock. A. that B. for C. in order that D. so as 6. He gave me his address me to visit. A. so that B. in order for C. in order to D. in cas 7. She got up early miss the bus. A. in order that B. so that C. not to D. for 8. Mr. Thompson is learning Vietnamese to read Kim Van Kieu. A. so that not B. so as to C. in order not to D. so as to 9. They hurried catch the train. A. to not B. as not to C. in order that not D. To 10. We learn English we will have better communication with other people. A. so that B. in order for C. in order to D. in case The total number of students enrolled in MATH 123 this semesteris 5,780. If it increases by 0.28% for the next semester, what willbe the enrollment next semester? Round to a whole person. Can someone help me with this math homework please! What are the two positive and negative aspects of veto power? Write the conjugation of each verb according to the subject given.correr: nosotros Propuso la teora catastrofista, segn la cual haban sucedido varios episodios de extincin, debidos a grandes cataclismos, seguidos siempre de nuevos periodos de creacin Why all individual are different? Which equation has the least steep graph? Kuley plans to retire in 8 years with $263,700 in her account, which has an annual return of 8.17 percent. If she receives annual payments of X, with her first payment of X received in 8 years and her last payment of X received in 15 years, then what is X, the amount of each payment Why is it important for Black and Brown voices to be heard, especially in todays society? Mrs. Chi is age 75 and enjoys a comfortable but not extremely high-income level. She wishes to enroll in a MA MSA plan that she heard about from her neighbor. She also wants to have prescription drug coverage since her doctor recently prescribed several expensive medications. Currently, she is enrolled in Original Medicare and a standalone Part D plan. How would you advise Mrs. Chi? Difference between DIRECT and INDIRECT ratio? Examine the two normal probability curves and complete the statements.The mean of the shorter normal curve is ["equal to", "greater than", "less than"] the mean of the taller normal curve.The standard deviation of the shorter normal curve is ["less than", "greater than", "equal to"] the standard deviation of the taller normal curve.The area under the shorter normal curve is ["equal to", "greater than", "less than"] the area under the taller normal curve.