What’s the domain and range of y = |x4|

Answers

Answer 1

Domain: (-∞,∞) {x,x∈R }

Range: [0,∞)

Solution :

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Interval Notation

Interval notation is a method to represent an interval on a number line. In other words, it is a way of writing subsets of the real number line. An interval comprises the numbers lying between two specific given numbers. For example, the set of numbers x satisfying 0 ≤ x ≤ 5 is an interval that contains 0, 5, and all numbers between 0 and 5.

Different Types Of Intervals

Intervals can be classified based on the numbers the set comprises. Some sets include the endpoints specified in the notation, while some might partially or not include the endpoints. In general, there are three types of intervals given as,

Open Interval

Closed Interval

Half-Open Interval

Let us understand the interval notation and different types of intervals in detail using solved examples.

Interval Notation:

y = |x4|

(−∞,∞)

Set-Builder Notation:

{x|x∈R}

The range is the set of all valid

y

values. Use the graph to find the range.

Interval Notation:

[0,∞)

Set-Builder Notation:

{y|y≥0}

Determine the domain and range.

Domain:

(−∞,∞),{x|x∈R}

Range:

[0,∞) , {y|y≥0}

More details : brainly.com/question/28135761

#SPJ9


Related Questions

Suppose y varies directly as x. If y = 12 when x = 4:
Write the general variation equation
Find the constant of variation, k.
Write a variation equation relating x and y using the value of k found in b).
Find y when x = -5.
у

Answers

Answer:

y = -15

Step-by-step explanation:

Given that,

y varies directly as x i.e.

\(y\propto x\\\\y=kx\)

Where

k is the constant of variation.

Put y = 12 and x = 4 to find k.

\(k=\dfrac{y}{x}\\\\k=\dfrac{12}{4}\\\\k=3\)

Now put k = 3 and x = -5 and finding the value of y.

\(y=3\times -5\\\\y=-15\)

So, the value of y is equal to -15.

A 16 foot ladder is propped up against the roof of a house. The angle of elevation is 62 degrees. How tall is the house?

Answers

Answer is below.

Let's call the height of the house "h".

The ladder is propped up against the house, forming a right triangle with the wall of the house and the ground. The ladder is the hypotenuse of the triangle, and the height of the house is one of the legs.

We know that the length of the ladder is 16 feet, and the angle of elevation is 62 degrees. We can use trigonometry to find the height of the house.

The trigonometric function that relates the angle of elevation to the height and length of the ladder is the tangent function:

tan(62) = h/16

To solve for h, we can multiply both sides by 16:

16 tan(62) = h

Using a calculator, we can evaluate the tangent of 62 degrees to get:

16 tan(62) ≈ 28.6

So the height of the house is approximately 28.6 feet.

Find the value of x, 6,4, 3x, 4x+1

Find the value of x, 6,4, 3x, 4x+1

Answers

Answer:

If two chords intersect in a circle, then the product of the segments of one chord equals the product of the segments of the other chord.

6(3x) = 4(4x + 1)

18x = 16x + 4

2x = 4

x = 2

Pleaseeeeeee HELP!!!!!!
A piece of farm machinery clears 2/15 acre of land in 1/5 of an hour

Pleaseeeeeee HELP!!!!!! A piece of farm machinery clears 2/15 acre of land in 1/5 of an hour

Answers

Answer: D. 2/3

Step-by-step explanation:

If it is 1/5 of an hour, we times it by 5, to get full hour, right?

So, we also do ×5 for the acre of land, so we can get the amount of acres in a full 1 hour.

5 is the same as 5/1 as a fraction

1/5 × 5 = 5/5 ......1 hour

2/15 × 5/1 = 10/15

So we get, 10/15 acre of land cleared in 1 hour

We simplify 10/15,

Which becomes,

2/3.

In conclusion, this is the working out =

2/15 × 5 = 10/15 = 2/3

Mark my answer as the brainliest!

what is the givien x-value that can used to make the prediction​

Answers

Answer:

haha there is no question

Step-by-step explanation:

aww please check if there are more expect around to answer

what is the solution to the inequality below?
\( \sqrt{x} \leqslant 5\)

Answers

Answer:

\( x \leqslant \sqrt{5}\) ​

Step-by-step explanation:

Hope this helped!

What is the distance from home to library?​

What is the distance from home to library?

Answers

Check the picture below.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{(~~5 - 2~~)^2 + (~~7 - 1~~)^2} \implies d=\sqrt{( 3 )^2 + ( 6 )^2} \\\\\\ d=\sqrt{ 9 + 36 } \implies d=\sqrt{ 45 }\implies d\approx 6.7\)

What is the distance from home to library?

stuck on this question

stuck on this question

Answers

Answer:

9:30am

Step-by-step explanation:

The gymnast spent time on

balance beam: 1 hr and 40 min => 60 + 40 = 100 minutes

vaulting: 1 hr => 60 minutes

the total time at camp is 100 + 60 = 160 minutes

so 12:10pm - 160 minutes = 09:30am

I don't need lengthy details I just want the answer

I don't need lengthy details I just want the answer

Answers

Answer:

Sue rode 1885 miles total

Step-by-step explanation:

There are 31 days in March, 30 in April, and 30 in May.

31 * 12 + 30 * 12 + 30 * 12 = 1092

There are 30 days in June and 31 in august.

30 * 13 + 31 * 13 = 793

Now we find the total:

1092 + 793 = 1885

The graph to the right is the uniform probability density function for a friend who is x minutes late. ​(a) Find the probability that the friend is between 10 and 30 minutes late. ​(b) It is 10 A.M. There is a 20​% probability the friend will arrive within how many​ minutes? part a) what is the probability that the friend is between 10 and 30 minutes late_?

The graph to the right is the uniform probability density function for a friend who is x minutes late.

Answers

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

To know more about probability follow

https://brainly.com/question/27077702

#SPJ1

Please help, thank you! ​

Please help, thank you!

Answers

we know angle RLP= 100⁰

also

angle RLP+ angle RLB=180⁰(Linear pair)

=>100⁰+angleRLB= 180⁰

=> angle RLB=80⁰

since BR and LR are equal, angle RBL and angle RLB are equal

therefore angle RBL is also equal to 80⁰

using angle sum property of triangles we know that the sum of all angles in a triangle is equal to 180⁰

=>angle BRL+angle RBL+angle RLB= 180⁰

=> angle BRL+80⁰+80⁰=180⁰

=>angle BRL = 180⁰-160⁰

=>angle BRL= 20⁰

I'm sorry it took me some time I'm a slow typer

Answer:

I think its c i'm not sure though i'm so sorry if i'm wrong I would recommend waiting for another answer if u don't trust me but good luck !

What is the quotient and the remainder of 7 divided by 5839

Answers

Answer: 834.142857143

Step-by-step explanation: I did it on paper this is like 3rd grade math.

A bag contains 8 red balls and 3 white balls. Two balls are drawn without replacement. (Enter your probabilities as fractions.) (a) What is the probability that the second ball is white, given that the first ball is red

Answers

Answer:

12/55

Step-by-step explanation:

Probability is the ratio of the number of possible outcomes to the number of total outcomes.

Given that the bag contains 8 red balls and 3 white balls, the probability of picking a red ball

p(r) = 8/(8+3) = 8/11

Probability of picking a white ball

= 3/11

when a red ball is picked first, the total number of balls reduces to 10 hence the probability that the second ball is white, given that the first ball is red

=8/11 * 3/10

= 24/110

= 12/55

complete solutions manual a first course in differential equations with modeling applications ninth edition differential equations with boundary-vary problems tenth edition

Answers

A first course in differential equations with modeling applications ninth edition is a textbook that covers the basics of differential equations and their applications in mathematical modeling.

It begins with an introduction to the concepts of differential equations, including the definition, solution methods, and the concept of modeling. It then covers topics such as first-order linear equations, higher-order linear equations, systems of linear differential equations, and nonlinear equations. It also has a chapter on boundary-value problems, which is a type of differential equation that involves a set of boundary conditions that must be satisfied for the solution to be valid.

In order to solve differential equations with boundary-value problems, we must first define the boundary conditions that must be satisfied for the solution to be valid. This involves setting up the boundary conditions in terms of the dependent and independent variables of the equation. We then solve the equation using the boundary conditions and the equation itself. The solution is then used to calculate values for the independent and dependent variables at the boundary points. Finally, we can verify the solution by substituting the calculated values into the equation and seeing if the solution is valid.

Learn more about differential equations here:

https://brainly.com/question/14620493

#SPJ4

g(x)
12 fy
10
88
8
6
4
4-3-2-12
-8
10
-1²1
f(x)
4 5 6 x
Which statement is true regarding the functions on the
graph?
Of(6) = g(3)
f(3) = g(3)
f(3) = g(6)
f(6) = g(6)



PLEASE HURRY IM TIMED!!!!

g(x)12 fy10888644-3-2-12-810-11f(x)4 5 6 xWhich statement is true regarding the functions on thegraph?Of(6)

Answers

Answer: f(3) = g(6)

Step-by-step explanation: if you plug them in we see that f of 3 on the y axis intercept g of x so we then go up and see that g of 6 intercepts f of 3 so therefore that is the answer

Find the unit rate $ 6. 80 for 9 muffins

Answers

the answer is .75555555 or rounded 75 cents per muffin

hope this helps and please mark brainliest

A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.

Answers

Answer: 1.6

Step-by-step explanation:

each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces

Answer:

shown below

Step-by-step explanation:

golf balls per ounce = 5/8 or 0.625

ounces per gold ball = 8/5 or 1.6

The graph below shows triangle A and triangle B. The side lengths of triangle A are proportional to the side lengths of triangle B, and the corresponding angle measures of the two triangles are equal. image b63beb85ff8941fb976339f638c35c47 Which statement BEST describes the relationship between triangle A and triangle B? A The triangles are similar but not congruent. B The triangles are congruent but not similar. C The triangles are both similar and congruent. D The triangles are neither similar nor congruent.

Answers

Answer:A.The triangles are similar but not congruent

Step-by-step explanation:

In a congruent traingle:

the both triangles are same in shape and size

There are five theorems to see if the triangles are congruent

and neither particularly applies here

sss: the sides are not equal

as none of the sides are equal, then despite the angles, congruence is not possible

However it is evident that one of the triangles is proportionally bigger than the other but similar. Hence A is correct.

Step-by-step explanation:

A jumping spider hunts for its
food. When it gets close to its
prey, it jumps into the air and
pounces on it.

A jumping spider can jump
40 times its body length. One
jumping spider is 2 centimeters
long. How far can it jump?

Answers

80 inches or feet.. I think you are suppose to multiply 40x2 sorry if im wrong

Sixty men can build a wall in 40days but though they begin the work together, 55 men quit every ten days. The Time needed to build the wall is?​

Answers

It would take 370 days to build the wall with the given conditions.

If 60 men can build a wall in 40 days, then the total man-days required to build the wall is:

60 men x 40 days = 2400 man-days

However, 55 men quit every ten days, which means that after 10 days, there are only 60 - 55 = 5 men left to work on the wall. After 20 days, there are only 5 - 55 = -50 men left, which means that the remaining 5 men cannot work any faster than they were already working. Therefore, we can assume that the remaining 5 men complete the wall on their own.

The number of man-days required for the first 10 days is:

60 men x 10 days = 600 man-days

The number of man-days required for the second 10 days is:

5 men x 10 days = 50 man-days

The total number of man-days required for the first 20 days is:

600 man-days + 50 man-days = 650 man-days

The remaining work can be completed by the 5 men in:

2400 man-days - 650 man-days = 1750 man-days

Therefore, the total time needed to build the wall is:

20 days + 1750 man-days / 5 men = 20 + 350 days = 370 days

For such more questions on conditions

https://brainly.com/question/18395678

#SPJ8

solve for the valuve of 3⁴ - 5 x 3​

Answers

Answer:

66

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3⁴ - 5 × 3

Step 2: Evaluate

Evaluate exponents:                                                                                       81 - 5 × 3Multiply:                                                                                                           81 - 15Subtract:                                                                                                          66

Anybody Know This Answer Well. ?

Anybody Know This Answer Well. ?

Answers

Answer:

no srry

Step-by-step explanation:

No sorry ur welcome

what is x

14= x over 3

Answers

Answer:

42

Step-by-step explanation:

14 = /3

3 ⋅ 14 = 3⋅ /3

x = 42

i agree that it is 42

Express the product of 2x^2 +7x-10 and x+5 in Standard form.

Answers

Answer:

2x^3 + 17x^2 + 25x - 50

Step-by-step explanation:

I got half right, but I need help with the other half.

I got half right, but I need help with the other half.

Answers

Explanation

The distance between points (x₁, y₁) and (x₂, y₂), is given by the formula:

\(d_{12}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.\)

We have the points:

• A = (0, 6),

,

• B = (6, 6),

,

• C = (6, 0),

,

• D = (0, 0).

1) Using the formula above with:

• A = (x₁, y₁) = (0, 6),

,

• B = (x₂, y₂) = (6, 6).

We get:

\(AB=6.\)

2) Using the formula above with:

• B = (x₁, y₁) = (6, 6),

,

• C = (x₂, y₂) = (6, 0).

We get:

\(BC=6.\)

3) Using the formula above with:

• C = (x₁, y₁) = (6, 0),

,

• D = (x₂, y₂) = (0, 0).

We get:

\(CD=6.\)

4) Using the formula above with:

• D = (x₁, y₁) = (0, 0),

,

• A = (x₂, y₂) = (0, 6).

We get:

\(DA=6.\)Answer

• AB = 6

,

• BC = 6

,

• CD = 6

,

• DA = 6

Since ABCD has four right angles and four straight sides, it is a square.

need help asap please

need help asap please

Answers

Answer:

\(\displaystyle yes\)

Step-by-step explanation:

If the angle of elevation is congruent in both triangles, then both smaller legs are congruent.

I am joyous to assist you at any time.

Write a system of equations to represent the scenario.
2) Clark and Bruce went to Taco Hut for lunch. Clark bought 4 burritos and 5 tacos, which cost him $6.71. Bru
bought 5 burritos and 3 tacos, which cost him $7.12.

Answers

Answer:

Step-by-step explanation:I need the same answer lol

Answer:

Step-by-step explanation:

Find x

14.2
18.5
find correct answer

Find x14.218.5find correct answer

Answers

From the circle the value of angle x is 90 degrees

We have to find the value of x

The radius of the circle is 18.5

As we observe the figure the angle x is opposite to the 90 degrees

The angle x and angle 90 degrees are vertical angles

We know that the vertical angles are equal or same

∠x = 90 degrees

Hence, the value of angle x is 90 degrees from the circle

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

please help! i’ll mark brainliest

please help! ill mark brainliest

Answers

Answer:

B. 136

Step-by-step explanation:

∆ABC is similar to ∆EDC, therefore the ratio of their corresponding side lengths would be the same.

Thus:

AC/EC = AB/ED

(144 - x)/x = 51/3

(144 - x)/x = 17/1

Cross multiply

(144 - x)*1 = 17*x

144 - x = 17x

144 - x + x = 17x + x

144 = 18x

Divide both sides by 18

144/18 = 18x/18

8 = x

x = 8

✔️AC = 144 - x

Plug in the value of x

AC = 144 - 8

AC = 136

D.
Question 1
1 pts
Write the equation of a line through (3,1), parallel to y= 2+1
Oy=-=-1
Oy=-=-
Oy=-=-
Oy=-1

D.Question 11 ptsWrite the equation of a line through (3,1), parallel to y= 2+1Oy=-=-1Oy=-=-Oy=-=-Oy=-1

Answers

Answer:

last one

Step-by-step explanation:

Other Questions
Find the circumference of the circle. Use 3.14 for the value of , Round your answer to the nearest tenth.Enter your answer and also show your work to demonstrate how you determined your answer. ................................................................................................... Help me pls:'(((!!!!!!!!!!!!!!!!!!!!!!! What literary element is the following quote an example of? Look at that combination knob--J3RK out as easy as pulling up a radish in wet weather. *A simileB contrastC metaphorD onomatopoeia -3(-7 - x) = 1/2 (x + 2) Graph a line with a slope of -3,that contains the point (4, -2) Compare each patient's cdna sequence to the wild-type cdna sequence. Each patient has one nucleotide-pair substitution mutation. At which nucleotide location is the mutation found for each patient?. The table shows the measured height, in feet, of anairplane at certain times, in minutes, after takeoff.Complete the statements interpreting the regressionmodel of the data.In themodel, which best represents thedata, there is Please help me with this discussion, if you can write something about Russia culture that would be perfect, but you don't have to 1. The midpoint of KL is M(5, -7). One endpoint is K(9,-7). Find the coordinates of the other endpoint L.OOO(7.-7)(1.-7)(1,0) why can we consifer the sample mean in random samples of size n from a given population to be a random variable . if it is successful, it would be able to make $175,000. of course, the company would make nothing if it were unsuccessful. the development costs for the remote control are $95,000. what is the expected value? Vic has 14 coins in nickels and quarters the value of this coins is 1.70 how many quarters does he have How can simple interest make saving money easier?a.Because it is simple, you have to do fewer calculations than if you saved money without it.b.Simple interest allows your money to earn money, so you have to save less.c.You are more motivated to reach goals that you are interested in, so you are less likely to abandon your savings plan.d.A bank with a simple interest savings plan will automatically transfer money from your paycheck to your savings account, letting you save without any extra effort. In what ways do goals and objectives helps managers control various process within an organization? While dubbing for a movie, the main lead, Sam, dubbed at his home instead of in the studio. The room where he recorded was huge.was a lot of reverb in the dialogues. Which audio tool would you suggest to the sound editor to rectify the dialogue recording?.denoiser.decracklerC.declickerD.dereverbE. declipper PLEASE SHOW WORKHELP ME Marin Inc. had the following transactions involving current assets and current liabilities during February 2019.Feb. 3Collected accounts receivable of $18,600.7Purchased equipment for $44,600 cash.11Paid $4,900 for a 1-year insurance policy.14Paid accounts payable of $12,100.18Declared cash dividends, $6,900.Additional information:As of February 1, 2019, current assets were $135,100 and current liabilities were $35,100.Compute the current ratio as of the beginning of the month and after each transaction. If the sum of a number and six is doubled, the result is three less than the number. Find the number. Describe the main conflict of the Korean War and the results.