Please help!!! thank you!!! *will give brainliest*

Please Help!!! Thank You!!! *will Give Brainliest*

Answers

Answer 1

Answer: Choice C

[tex]y = x^2+2, \ x \ge 0[/tex]

=============================================

Work Shown:

[tex]f(x) = \sqrt{x-2}\\\\y = \sqrt{x-2}\\\\x = \sqrt{y-2} \ \text{ swap x and y}\\\\x^2 = y-2 \ \text{ square both sides}\\\\y = x^2+2\\\\f^{-1}(x) = x^2+2\\\\[/tex]

Since the range of f(x) is [tex]y \ge 0[/tex] this means the domain of the inverse will be [tex]x \ge 0[/tex]

The domain and range swap when you go from the original function to the inverse, or vice versa (due to x and y swapping)

So we must state the inverse is [tex]y = x^2+2 , \ x \ge 0[/tex]


Related Questions

._. kan someone help?

Answers

Answer:

The third one

Step-by-step explanation:

it number 3 one no prob

Step-by-step explanation:

4 1/3 minus - 2/3
Please hurry!

Answers

Answer: 11/3

Step-by-step explanation:

(4 1/3) - (2/3) = (13/3) - (2/3) = 11/3

Answer: 5

Step-by-step explanation:

[tex]\displaystyle\\4\frac{1}{3} -(-\frac{2}{3})=\\\\ \frac{(4)(3)+1}{3} +\frac{2}{3}=\\\\ \frac{12+1+2}{3}=\\\\ \frac{15}{3}= \\\\5[/tex]

g(x)=x^2-4
f(x) = -2x-3
Find g(-6) – f(-6)

someone help and please show steps!! <3 10 points !!!

Answers

Answer:

23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

g(x) = x² - 4

f(x) = -2x - 3

g(-6) is x = -6 for function g(x)

f(-6) is x = -6 for function f(x)

Step 2: Evaluate

g(-6)

Substitute in x:                    g(-6) = (-6)² - 4Exponents:                          g(-6) = 36 - 4Subtract:                              g(-6) = 32

f(-6)

Substitute in x:                    f(-6) = -2(-6) - 3Multiply:                               f(-6) = 12 - 3Subtract:                              f(-6) = 9

g(-6) - f(-6)

Substitute:                    32 - 9Subtract:                       23

The ratio of tuna to catfish is 4:9. If there are 24 tuna in the enclosure at the aquarium, how many catfish are
there?

Answers

24 / 4 = 6
6 x 9 = 54

there will be 54 catfish

Solve for
5(2 – 8) = 20

Answers

Answer:

Step-by-step explanation:

5x - 40 = 20

5x = 20 + 40

5x = 60

x = 60/5

x = 12

Answer:

x = 12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define equation

5(x - 8) = 20

Step 2: Solve for x

Divide 5 on both sides:                     x - 8 = 4Add 8 on both sides:                         x = 12

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(12 - 8) = 20Subtract:                              5(4) = 20Multiply:                               20 = 20

Here we see that 20 does indeed equal 20.

∴ x = 12 is a solution to the equation.

True/False;
This table represents a linear function.
True
False

Answers

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Zero Slope: its graph is a ____________ line. When the ____ is on the top (numerator) when using the slope formula. When the ___ values are the same when looking at a table.

Answers

Answer:

Horizontal, 0, y

Step-by-step explanation:

distance between A (2, -1) and (2,a) is 4 units. Find the value of a where a is positive.

Answers

Answer:

a = 3

Step-by-step explanation:

Calculate the distance d using the distance formula and equate to 4

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (2, - 1) and (x₂, y₂ ) = (2, a)

d = [tex]\sqrt{(2-2)^2+(a+1)^2}[/tex] = [tex]\sqrt{0+(a+1)^2}[/tex] = [tex]\sqrt{(a+1)^2}[/tex] = a + 1 then

a + 1 = 4 ( subtract 1 from both sides )

a = 3

note: enter your answer and show all the steps that you use to solve this problem in the space provided. write and solve an equation that represents the following situation: 35 people paid a total of $245 for admission to a local soccer game. what is the price of admission?

Answers

The price of each admission is 7

What is unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

Total amount paid for admission =  $245

Total number of people=35

So,

let the price of admission be x

So, 35x= 245

Now dividing both side by 35

35x/35=245/35

x= 7

Hence, price of each admission is 7.

Learn more about unitary method here:

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what is an explicit formula for the following sequence 1,5,9,13,17 ? plssss helppp mee

Answers

Answer:

plus 4 every time

Step-by-step explanation:

1+4=5+4=9+4=13+4=17

Todd swam three trials of the 50-meter freestyle. His time was 32.15 seconds for the first trial, 31.67 seconds for the second trial, and 30.55 seconds for the third trial. Part A What is Todd's combined time for all three trials? Enter your answer in the box. seconds Part B How much faster was Todd's second trial than his first trial? Enter your answer in the box. second(s)

Answers

Answer:

A. 94.37 seconds

B. 0.48 seconds

Step-by-step explanation:

Total distance = 50 meters

First trial = 32.15 seconds

Second trial = 31.67 seconds

Third trial = 30.55 seconds

A. What is Todd's combined time for all three trials

Todd's combined time for the three trials = First trial + Second trial + Third trial

= 32.15 seconds + 31.67 seconds + 30.55 seconds

= 94.37 seconds

B. How much faster was Todd's second trial than his first trial?

Second trial = 31.67 seconds

First trial = 32.15 seconds

Time taken for first trial - Time taken for second trial -

= 32.15 seconds - 31.67 seconds

= 0.48 seconds

Todd's second trial was 0.48 seconds faster than his first trial

let s be the annual sales​ (in millions) for a particular electronic item. the value of s is 53.4 for 2008 . what does s​

Answers

The meaning of s in the question is that it means the Annual Sales for a particular electronic item is 53.4millions for the year 2008

The Annual sales is the total amount of money that a company makes during the period of 12 months for the sale of a product.

In the question it is mentioned that the value of s is 53.4 for the year 2008.

and s denotes the annual sales for electronic item in that particular year .

S in the statement means Annual Sales for a particular electronic item in the year 2008 was of 53.4 millions.

Learn more about Annual Sales  herehttps://brainly.com/question/3029663

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Josiah is 5 years older than Alexis. In 7 years the sum of their ages will be 85. How old is Josiah now?

Can you help me solve it!!

Answers

Answer:

Step-by-step explanation:

Alexis is X years old

Josiah is X + 5 years old

in 7 years:

Alexis is x + 7 years old

Josiah is x + 5 + 7 => x + 12 years old

Sum of their ages is 85 :

x + 7 + x + 12 = 85

2x + 19 = 85

2x = 85 - 19 = 66

x = 66/2 = 33 => Alexis age

Josiah is x + 5 = 33 + 5 = 38 years old

Which equation describes the lines passing through (4,-2) with a slope of 1/2?
A. y = 1/2x + 5
B. y = 1/2x + 4
C. y = 1/2x - 2
D. y = 1/2x - 4

Answers

Answer:

y = 1/2x +4

Step-by-step explanation:

Write in y = mx + b form.

In the following expression, 7x +15, what is the 7?
A. coefficient
B. term
C. constant
D. variable​

Answers

Answer:

A. coefficient

Step-by-step explanation:

A constant is the number that isn't with any variable, which in this case, the constant would be 15.

A variable is a unknown value, which in this case, the variable would be x.

The term are the numbers in the equation, which in this case, the terms would be 7x and 15.

The 7 in the expression 7x + 15 is the coefficient.

The correct option is A.

What is an expression?

A term is composed of one mathematical expression. A single variable (a letter), a single integer (positive or negative), or a number of variables that have been multiplied but never added or subtracted are all examples of single variables. There is a number in front of certain words that are variables. A word or phrase is preceded by a coefficient.

In general, a coefficient is the numerical factor of a term that contains a variable. In this case, the term containing the variable x is 7x, and the coefficient of this term is 7. The term 15 is a constant term, which is a term that does not contain any variables.

To learn more about the expression;

brainly.com/question/24242989  

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1/4 of the original price is marked down if the sales price is 128.00 what is the original price DONT not round your answer to the nearest hundredth

Answers

Answer:

Ipguifiyfohvlbouviyfiyfyivojviyc itcitditcyivuy if it go

help pls
i will be friend

Answers

Answer:

brainliest pls

Step-by-step explanation:

In your own words, explain the steps you would need to take to find slope from data in a table.
When I say "your own words" PLEASE DON'T GIVE ME THE SAMPLE RESPONSE ON EDGE

Answers

Answer:

For me when I am finding the slope I actually use the slope formula [tex]\frac{y2-y1}{x2-x1}[/tex].

Step-by-step explanation:

Step 1 you have to find the x and y

Step 2: Use the slope formula

Step 3: Subtract y2 and y1 to get your answer

Step 4: Subtract x2 and x1 to get your answer

Step 4: If your answer is easy to divide  simplify it, if not leave it as it is

That's all I know

I hope this helps :)

Answer:

Choose two sets of data (x and y values).  Calculate the difference between the two y values.  Calculate the difference between the corresponding two x values.  Slope is the difference in y values / difference in x values.

Hope this Helps!

homeworklibexpress the area a of a right triangle as a function of the height h if the base of the triangle is twice its height?

Answers

Answer:

A = h²

Step-by-step explanation:

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

here b = 2h , then

A = [tex]\frac{1}{2}[/tex] × 2h × h = h × h = h²

At an end- of-season sale, a kid's pool was on sale for $168 . A sign advertised that this was 20% off the original price. What was the original price?

Answers

Answer: $134.40

Step-by-step explanation: Just find 80% of 168. That is because 100 - 20 is 80. The question says 20% OFF.

Hi!,
The person who answered above made a mistake and went the wrong way.

Since the pool is already 20% off the price stated is only 80% (100-20=80) of the original price.

So, divide amount by 80.
168/80 = 2.10

Then multiply by 100 to find 100% price
2.10 x 100 = 210

Answer is $210

PLEASE HELP ITS DUE TMR

Answers

Answer:

it's 42 my bad...

Step-by-step explanation:

Answer:

Choice C 42 in^2

Step-by-step explanation:

Area of a triangle= 1/2(b)(h)

= 1/2(3)(6)

= 9

Since there is two triangles we can do:

9(2) = 18

Area of a rectangle = (b)(h)

= (4)(6)

= 24

24+18 = 42 in^2

Solve for linear equations by substitution

x + 2y = 6
X-y=3

Answers

Answer:

Let's solve your system by substitution.

x+2y=6;x−y=3

Step: Solvex+2y=6for x:

x+2y=6

x+2y+−2y=6+−2y(Add -2y to both sides)

x=−2y+6

Step: Substitute−2y+6forxinx−y=3:

x−y=3

−2y+6−y=3

−3y+6=3(Simplify both sides of the equation)

−3y+6+−6=3+−6(Add -6 to both sides)

−3y=−3

−3y

−3

=

−3

−3

(Divide both sides by -3)

y=1

Step: Substitute1foryinx=−2y+6:

x=−2y+6

x=(−2)(1)+6

x=4(Simplify both sides of the equation)

Answer:

x=4 and y=1

 

Step-by-step explanation:

Answer:

x=4 and y=1

Answer the following question and will mark Brainliest

Answers

Answer:

[0, ∞)

Step-by-step explanation:

The domain is the x values in a function. As you can see from the graph, the function touches zero (touching meaning the value zero is bracketed) and goes to infinity (infinity is parenthesis).

If a value is included it is bracketed. If it is not included it is used with parenthesis (infinity cannot be reached to it is used with parenthesis).

(0,&) is the right answer

What is 1% of 75? explain how

Answers

Answer:

0.75

hope it helps

plz mark brainliest

Answer:

0.75

Step-by-step explanation:

1%×75

=1/100×75

=0.01×75

=0.75

is 4(5c + 3) and 9c + 7 equivalent?

Answers

Answer:

No sir  

Step-by-step explanation:

when you see  Parentheses beside a number it means your mutiplying

your answer would be: 20c + 12

Answer:

Find the exact value using trigonometric identities.

20

c

+

12

Step-by-step explanation: 20 c + 12 c will give you your answer.

Using the diagram below and with reference to the angle θ, state the length of the opposite side.

The diagram is not drawn to scale.
cm

Answers

Answer:

given,

θ is the angle of the opposite side

cm=θ

distance between (-4,0) and (2,2)

Answers

(4,2) is is the distance from these coordinates

8. Is this relation a function?
{(1, 1)(2, 2)(3, 3)(4, 4)}
a) Yes
b) No

Answers

Answer:

A

Step-by-step explanation:

Yes beacause it is a costant recurrence

Can someone help, I need to pass. Find the value of k

Answers

Answer:

D

Step-by-step explanation:

45+62=107

180-107=73

Answer:

D)   k=73

Step-by-step explanation:

easy triangles add up to 180

180-62-45=73

Brainliest please

Can someone help me plz I will mark brainliest

Answers

Answer:

the answer its C i hope i Helped you

Step-by-step explanation:

Answer:

C. infinitely many solutions

Step-by-step explanation:

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