Find domain of the following functions

The function f(x)=x+3 belongs to linear category.

For a function to be linear it must have an single variable and also the maximum power to that variable in the equation must be 1.

In a linear variable there is always single value possible in a equation.

In the function also there is only one value at one time but it varies according to the function change.

Here the function f(x)=x+3 will vary as the value of x changes.

For x=1 the value of f(1)=4

For x=2 the value of f(2)=5 and so on

The core concept of mathematics' calculus is functions. The unique varieties of relations are the functions. In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The whole set of values that the function's output can produce is referred to as the range. The set of values that might be a function's outputs is known as the co-domain.

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Answer: k(x)=-4x+63

Step-by-step explanation:

Perpendicular slopes are opposite reciprocals of each other.

(1/4)^(-1)=4

4*(-1)=-4

k(x)=4x+b

k(-20)=4(-20)+b

-17=4(-20)+b

-17=-80+b

b=63

k(x)=-4x+63

The difference between 9493 take away 2324 is equal to = 7169.

The difference between 9493 take away 2324

Difference in math is the result of one of the important mathematical operations, which is obtained by subtracting two numbers. It tells us by how much a number differs from the other. The aim of finding the difference in math is to tell how many numbers lie between the two given numbers.

Set difference is a generalization of the idea of the complement of a set and as such is sometimes called the relative complement of T with respect to S. The symmetric difference between two sets S and T is the union of S – T and T – S.

Based on the conditions, formulate :

Let us assume,

The difference between value = x

We can write,

x = 9493 -  2324

Calculate the sum or difference,

x = 7169.

Therefore,

The difference between 9493 take away 2324 is equal to = 7169.

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Answer:

I don't think you can answer this.

Step-by-step explanation:

Y could be anything. Which means x could be anything too. if y was 14, x would be 2. If y was 500, x would be 488.

Answer:

10 as 9 hundreds is 9 thousand.

Step-by-step explanation:

The digit is 9 thousand which can be written as 9,000

It can also be written as,

9,000 = 9 x 1000

or ,9,000 = 9 x 10 x 100

So, to require 9 hundreds multiply 9 by 100 in the expression above

9,000 = 10 x 900

And so Ten as 9 hundreds are 9 thousand.

Answer:

Succinctly, pi—which is written as the Greek letter for p, or π—is the ratio of the circumference of any circle to the diameter of that circle. Regardless of the circle's size, this ratio will always equal pi. In decimal form, the value of pi is approximately 3.14.

Pi is used in my formulas like area and perimeter of circle, radian measure, etc

The exponential growth model for the future population is given as [tex]y = 1500(1.1)^{t}[/tex]   and the student population after 7 years is 2923.06.

The general expression for the exponential growth is given as :

                       [tex]y = a(1+r)^{t}[/tex]

where, a  = initial amount or current student population of Philadelphia

           r = rate

           t = time in years.

According to the question we have been given that

           a = 1500

           r = 0.1

putting the required values in above equation we get

                   [tex]y = 1500 (1+0.1)^{t}\\y = 1500(1.1)^{t}[/tex]

Hence the exponential growth model for the future population is given as :

                      [tex]y = 1500(1.1)^{t}[/tex]

For the population in 7 years is :

                      [tex]y = 1500(1.1)^{7}\\y = 1500*1.949\\y = 2923.06[/tex]

hence the student population after 7 years is 2923.06

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The clay pots ordered from shortest to tallest is √5 inches, 2 1/3  inches. 2.5 inches, √8 inches.

In order to arrange the clay pots in order of height, all the heights have to be converted to decimals.

A decimal is a number that is made up of an integer and non-integer. The non-integer are separated from the integers with a decimal point. An example of a decimal is 1.1.

√8 = 2.83

2 1/3 = 2.33 in

√5 = 2.24 in

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Using it's concept, the percentage change in union membership between 2017 and 2018 was of -1.9%.

The percent change of an amount is given by the change divided by the initial amount.

For this problem, the parameters are given as follows:

Hence the percentage change is given by:

-0.2/10.7 = -0.019 = -1.9%.

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6,684 feet write in as an integer is 6,684.

The square root of 6684 is 81.7557337439

The cube root of 6684 is 18.8370177527

The integers form  the littlest  group and the smallest ring containing the natural numbers. In  irrational number  theory, the integers are sometimes qualified as rational integers  to differentiate  them from the more general algebraic integers. In fact, (rational) integers are algebraic integers that  also are  rational numbers.An integer  is that the  number zero, a positive  number  or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.integer, whole-valued positive or negative number or 0. The integers are generated from the set of counting numbers 1, 2, 3,…  and therefore the  operation of subtraction. When a counting number is subtracted from itself, the  result's  zero; for example, 4 − 4 = 0.

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A function N(t) to represent the number of members in the scheme after t days is given as:

N(t) = 2ˣ (where, x = 0, 2, 4 , 6 ....)

For the given statements in the question;

The scheme starts with 1 person who recruits 4 person.

Then, the next 4 person will their respective 4 recruits.

Thus, the sequence will become;

1, 4, 16, 64.....

Thus sequence can be written as;

2⁰, 2², 2⁴, 2⁶,.....

Thus, in the function form it represents;

2ˣ (where, x = 0, 2, 4 , 6 ....)

Thus, a function N(t) to demonstrate the total number of scheme members after t days is;

N(t) = 2ˣ (where, x = 0, 2, 4 , 6 ....)

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The value of the probability is 0.0714.

According to the statement

We have to find that the students' favorite color was red.

So, For this purpose, we know that the

Probability is the branch of mathematics that studies the possible outcomes of given events together with the outcomes' relative likelihoods and distributions.

From the given information:

A bag 2 contains 2 red marbles, 2 green marbles, and 4 blue marbles.If we choose a marble, then another marble without putting the first one back in the bag.

Then

A bag contains 2+2+4=8 marbles in total.

We have to search out the probability of the subsequent events:

1. we've to settle on a red marble from the bag that contains 8 marbles in total, 2 of them are red

2. we've to decide on a green marble from the bag that contains 7 marbles in total, 2 of them are green.

The probability of the primary event to happens is:

P(one) = 2/8 = 1/4.

The probability of the second event to happen is:

P(two) = 2/7

The probability of both events to happen is:

P = P(one) * P(two)

P = 1/4 * 2/7

P = 1/14

P = 0.0714.

So, The value of the probability is 0.0714.

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Answer:

28,927

Step-by-step explanation:

just use common knowledge in your number plot such as 10s, 100s, and 1000s. Then use the numbers 28000+900+27 and your answer is solved.

The characteristics of the undefined geometric terms are as follows;

Across

2. Planes can also be labeled with a capital letter that isn't connected to a point.

6 Points that are not on the same line are non–colinear

7 Points, lines, and planes are undefined terms

8 A portion of a line containing two endpoints that can be measured is a segment.

9 Direction matters when labelling this geometric figure. A ray

12 These are always measured using one capital letter. A point.

13. These pair of lines have the same slope value. Parallel lines

14 A plane is usually labeled with this number of points. Three points

15 Lines and points sharing the same plane are coplanar lines and points.

Down

1 The symbols of a segment has arrows on each end. False

2 These intersect at either endpoints and resemble a line. Rays

3 Points that are on the same line are considered this. Colinear points

4 This line pair form a 90° angle when they intersect. Perpendicular lines

5 When two lines intersect they form a point. False

10 These can be labeled with one lower case letter. A plane

11. When two of these intersect they form a line. Rays

Undefined terms are terms in geometry which are only given an elucidation or a description. Other terms can be defined using the undefined terms.

Across

2 The methods of naming a plane includes;

6 When points are not on the same line or on the same plane, they are known as non–colinear or non–coplanar respectively.

7 undefined terms includes, points lines and planes

8 A segment has two endpoints and represents a portion of a line.

9 A ray is labeled by including the letter representing the endpoints first and then a letter representing any other point on the ray.

12 A point is labeled by using a capital letter

13 Parallel lines extends continuously without meeting, therefore they form the same corresponding angles with a common transversal and have the same slope

14 The labels of three points in space can be used to label the plane which the points are located.

15 The term used to describe lines and points sharing the same plane are coplanar lines and coplanar points respectively

Down

1 The symbol of a segment has a dot marking at each end.

2 When the endpoints of two parallel rays intersect, the geometric figure formed resembles a line

3 Colinear points are points that are on a line

4 Perpendicular lines are lines oriented 90 degrees relative to each other

5 An angle is formed by the intersection of two lines

10 A line can be labeled with one lower case letter

11 When the endpoints of two parallel rays facing opposite directions intersect, they form a line

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Answer:

6 lines.

Step-by-step explanation:

The cost of the lab per hour is $25.

Here we know that they charged a total of $249.75, and the cost in parts was $181, then the cost in labor is:

$249.75 - $181 = $68.75

And we know that they worked for 2.75 hours, the cost per hour is given by the quotient between the cost in labor and the number of hours, then we can get:

$68.75/2.75 = $25

So we can see that the cost of the lab per hour is $25.

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Answer:

Step-by-step explanation:

hi the RTA: is -14,8+

that the answer you welcome

......... .. . . . . . . . . .

Answer:

A. is incorrect

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

S. D =√V

:.V=S. D^2

V=19^2

V=361

Answer:

4 7/15

Step-by-step explanation:

To subtract two fractions we need to have them have the same division by, which means the lower part of the fraction needs to be the same. To do that we would need to find a common denominator between 3 and 5, a number that can be both divided by 3 and 5. To figure common denominator for 5 and other nimbery just multiply the other number by 5: 3*5=15. so now we need to multiply both fractions by a number to get lower part to 15, so 4*3/5*3=12/15 and 1*5/3*5=5/15. Now we have 6 12/15 - 2 5/15 = 4 7/15.

The value of the inequality |4x - 1| ≥ 23 will be

x ≥ 6.

It should be noted that the inequality given is expressed as:

|4x - 1| ≥ 23

This will be

|4x - 1| ≥ 23

4x ≥ 23 + 1

4x ≥ 24

Divide

4x/4 ≥ 24/4

x ≥ 6

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Answer: 9/34

Step-by-step explanation:

3/4 x 6/17=

3*6/(4*17)=

18/68=9/34

Answer:

what graph but domain is the x axis

Step-by-step explanation:

well, we know the center of the circle is at (7 , 9), and we also know that a point right on the circle is at (4 ,5), now, the distance between those two points is simply the radius, keeping in mind that the diameter is simply twice the radius

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{radius}{r}=\sqrt{(~~4 - 7~~)^2 + (~~5 - 9~~)^2} \implies r=\sqrt{(4 -7)^2 + (5 -9)^2} \\\\\\ r=\sqrt{( -3 )^2 + ( -4 )^2} \implies r=\sqrt{ 9 + 16 } \implies r=5~\hfill \underset{diameter}{\stackrel{2(5)}{10}}[/tex]

The measure of angle AEC is 115°.

What are Supplementary angle?

Supplementary angle are those angles whose sum up are 180 degree.

Given that;

Measure of angle AED = 65

The angle AEC is supplementary to the angle AED.

Now, The angle AEC is supplementary to the angle AED.

Hence, ∠ AEC + ∠AED = 180°

Since, Measure of angle AED = 65°

So,  ∠ AEC + ∠AED = 180°

⇒ ∠ AEC + 65° = 180°

⇒ ∠ AEC = 180° - 65°

⇒ ∠ AEC = 115°

Therefore, The measure of angle AEC is 115°.

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Answer:

  g > 64

Step-by-step explanation:

You want an inequality equivalent to g/8 > 8.

The properties of order say you do not change the value(s) of the variable by multiplying both sides of an inequality by a positive number.

Multiplying the given inequality by 8 gives the equivalent inequality ...

  [tex]\dfrac{g}{8}\cdot8 > 8\cdot8\\\\\boxed{g > 64}[/tex]

Answer:

Your answer would be [tex]f^{-1} (x)=\frac{2x}{x-1}[/tex]

Step-by-step explanation:

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

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

hopefully this helps you! ~