Answer this please?​

Answer:

The domain of [tex]f(x)[/tex] is restricted to [tex]x\leq 0[/tex], and the domain of [tex]f^{-1}(x)[/tex] is restricted to [tex]x\geq 4[/tex].

Step-by-step explanation:

From Function Theory we know that domain of a function is the set of values such that an image exist. Let [tex]f(x) = x^{2}+4[/tex] and [tex]f^{-1}(x) = \sqrt{x-4}[/tex] the function and its inverse, respectively.

At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.

But domain of its inverse is restricted to every value of x so that [tex]x-4 \geq 0[/tex], which means that [tex]x\geq 4[/tex].

Finally, we concluded that following answer offers the best approximation to our result:

The domain of [tex]f(x)[/tex] is restricted to [tex]x\leq 0[/tex], and the domain of [tex]f^{-1}(x)[/tex] is restricted to [tex]x\geq 4[/tex].

Answer:

C. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to  x ≥ 4.

Step-by-step explanation:

Answer:

AAS

Step-by-step explanation:

Two angles are equivalent and they share a side

Answer:

80

Step-by-step explanation:

72/9 is 8

9x8 is 72

so 1x8 is 8

72 plus 8 is 80

Answer:

13 weeks

Step-by-step explanation:

it will take 13 weeks because 26 devided by 2 is 13.

Answer:

perpendicular lines

Step-by-step explanation:

Kahn Academy

The given lines are intersecting but not perpendicular.

In Euclidean geometry, the empty set, a point, or another line can intersect another line. For instance, computer graphics, motion planning, and collision detection can all benefit from differentiating these cases and locating the intersection.

Given:

        y = 6x - 2

2x - 12y = 24

⇒  6x - y = 2         ..(1)

2x - 12y = 24       ..(2)

Multiply second equation by 3,

6x - 36y = 72           ..(3)

Subtract equation (1) from equation (3).

    6x - 12y = 24

-    6x -    y  = 2

_______________

         -11y = 22

   y = -2

Plug y = -2 in equation (1)

6x - (-2) = 2

6x + 2 = 2

      6x = 2 - 2

      6x = 0

        x = 0

The solution of the given system is (0, -2).

Hence, the given lines are intersecting but not perpendicular.

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complete question:

What do the following two equations represent?

.y=6x-2

.2x-12y=24

Answer: g > -8

Step-by-step explanation:

sadmep

Answer:

The square root of the variance.

The average distance from the mean expected of the data.

Step-by-step explanation:

Standard deviation is a measure of dispersal. It determines the average distance from the mean expected of the data.

                Standard deviation = [tex]\sqrt{variance}[/tex]

Answer:

weak in maths sorry I cannot give answer

Answer:

Collect the like terms

Step-by-step explanation:

(3x-5x)

3x (-2x) + 2 = -8

Answer:

The amount of income tax in dollars and cents is $4,695.75

Step-by-step explanation:

To find the amount of income tax that should be paid, we simply use the percentage said to be for the income tax

Mathematically;

income tax = 9% of 52,175

= 9/100 * 52175

= $4695.75

The income tax to be paid on the income is $52,175

Answer:4695.75

Step-by-step explanation:

Well if u made 52175 a whole then put 9 as a percentage you would cross multiply 52175 with 9 then divided with the whole percentage (100)

Answer:

The sample space for selecting the group to test contains 2,300 elementary events.

Step-by-step explanation:

There are a total of N = 25 aluminum castings.

Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 21 are good (G).

It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]

Compute the number of samples that are possible as follows:

[tex]{25\choose 3}=\frac{25!}{3!\times (25-3)!}[/tex]

      [tex]=\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300[/tex]

The sample space for selecting the group to test contains 2,300 elementary events.

Answer:

it will be equal and keep it up you will make good grades

Step-by-step explanation:

The design of an experiment in the research to help determine if a set of presentations is simply to consider two groups depending on the gender.

It should be noted that a research simply means an enquiry that is done to achieve a particular information.

In this case, the design of an experiment in the research to help determine if a set of presentations is simply to consider two groups depending on the gender.

Also, the randomization procedure that would achieve this is the ANOVA.

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Answer:

look im putting this here bc i have to answer 50 questionsfor a quest sdo dont report me ;-;

Step-by-step explanation:

Answer:

Step-by-step explanation:

answen

Answer:

YES

Step-by-step explanation:

ITS JUST YES

Answer:

[tex]\sqrt[/tex]3x+4=5

Step-by-step explanation:

3x+4=25

3x=21

x=7

Answer:

The one without an angle

Step-by-step explanation:

I'm guessing because the others ones all have angle measures (30, 22, x) while the bottom left doesn't.

Answer:

[tex]\pi \: r{2} \\ = \frac{22}{7} \times 10 {}^{2} \\ = 3.14 \times 100 \\ = 314[/tex]

I think the Answer is 314.....

Thank you ☺️

Answer:

c trust me

and well i just did that 20 mins ago

Answer:

C for sure hope you get it

Answer:

49 or 1

Step-by-step explanation:

answer 1 14+10+13+12=49 answer 2 (14+10)-(13+12)=1

Answer and Step-by-step explanation:

Solution:

Order of operations:

1- Parentheses

2- Exponent

3- Multiply

4- Divide

5- Subtract

By using these operations we can find out the solution of 4’s to create problems that will equal to     1 – 12.

1 = 44 / 44   or (4+4) / (4+4)

2= 4/4 + 4/4

3 = (4+4+4) /4

4 = 4 x (4 – 4) +4

5 = (4 x 4 + 4)/ 4

6 = 4 x .4 + 4.4

7 = 44 / 4 – 4

8 = 4 + 4.4 - .4

9 = 4/4 +4 +4

10 = 44 / 4.4

11= 4 / .4 + 4/4

12 = (44 + 4) / 4

Answer:

53151 for Bill Randall

66565 for Corrine Brown

Step-by-step explanation:

X + X+13414 = 119716

2x + 13414 = 119716

2x = 106302

x=53151

119716 - 53151 = 66565

Answer:

x = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Option B is correct

Step-by-step explanation:

Given: [tex]h(x)=\frac{1}{x^2+1}[/tex] is the result of the composition [tex]f(g(x))[/tex].

Also, [tex]g(x)=x^2+1[/tex]

To find: [tex]f(x)[/tex]

Solution:

Take [tex]f(x)=\frac{1}{x}[/tex]

Now check whether [tex]h(x)[/tex] is equal to [tex]f(g(x))[/tex] or not.

First find [tex]f(g(x))[/tex]

[tex]f(g(x))=f(x^2+1)=\frac{1}{x^2+1}[/tex]

Also, [tex]h(x)=\frac{1}{x^2+1}[/tex]

Therefore,

[tex]h(x)=f(g(x))[/tex]

So,

Option B is correct

Answer: B. f(x)=1/x

Step-by-step explanation:

Edge

Answer:

Please find the correct placement in a tabular format in the attached image. The explanation has been done below.

Step-by-step explanation:

The process of photosynthesis occurs in two stages viz: light-dependent and light-independent reactions.

- In the light-dependent reaction, which occurs in the THYLAKOID MEMBRANE of the chloroplast, energy from SUNLIGHT is used to breakdown WATER to release electrons in order to synthesize ATP and NADPH from ADP and NADP+. In a nutshell, the processes involved in this stage are Electron transport chain, photosystem I, photosystem II, and ATP synthase.

- In the light-independent stage, also called CALVIN CYCLE, the ATP, NADPH, and CO2 are used as reactants to synthesize SUGAR (glucose), NADP+ and ADP (which goes back to the first stage) as products.

Answer:

a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL

b. Preferred brand of shoes = CATEGORICAL

c. Number of deliveries received at the household per week = DISCRETE NUMERICAL

d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL

Step-by-step explanation:

Determine whether variable is Categorical or Numerical (Discrete or continuous) :

Categorical variables are used in grouping data values into a defined set of classes or distinct groups. Numerical variables are those usually represented with numbers and this posses numerical meaning. Numerical variables can either be discrete when the values in the dataset are finite or continuous, when values aren't finite and usually uncountable.

a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL

b. Preferred brand of shoes = CATEGORICAL

c. Number of deliveries received at the household per week = DISCRETE NUMERICAL

d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL

Categorical Variables : b) Preferred shoe brand; & d) Likely period of shopping

Numerical Continuous Variable : a) Amount of shopping time ; & Numerical Discrete Variable : c) Number of deliveries

Numerical Variables, as the name denotes - can be expressed in numbers. Like : Number of variable x.

Categorical Variables, as the name denotes - cant be expressed n numbers but rather in categories. Like : A person being man, woman or other gender.

A] Amount of time spent shopping for clothing in the past week : Numerical & Continuous, can be in decimal values like 2.8 , 4.5 hours etc

B] Preferred brand of shoes : Categorical Variable, will be amongst the brand names like Pima, Nuke etc

C] Number of deliveries received at the household per week : Numerical & Discrete , can be only in non decimal whole values - like 4 , 5 , 10 etc

D] Most likely time period during which shopping for clothing takes place : Categorical Variable, will be amongst the mentioned period of weeks or days - like weekday, weeknight, or weekend

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