Determine the domain and range of the function f(x) = â€""|x| 2. The domain of the function is. The range of the function is.

Answers

Answer 1

The domain of the function f(x)  =  |x|² is the set of all real numbers (-∞ < x < ∞)

The range of the function f(x)  =  |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)

The given function is:

f(x)  =  |x|²

This can also be expressed as:

f(x) = x²

This is because the square operator cancels the effect of the absolute value

The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞

The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.

Range = f(x) ≥ 0

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Answer 2

Answer:

1. all the real numbers

2. all numbers less than or equal to 2.

Step-by-step explanation:


Related Questions


Which algebraic expression represents the
following situation: Six fewer seashells than
the total number of seashells in p packages,
each of which has five seashells?
Is it c

Answers

Answer:

Yes, it is c

Step-by-step explanation:

Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.

Based on the information given, the equation to represent the situation is 5p - 6.

The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.

Therefore, the equation will be:

= (5 × p) - 6

= 5p - 6.

Learn more about equations on:

https://brainly.com/question/2972832

Does order matter when performing a composition of two transformations of the same type? Explain.

Answers

The order does not matter. Algebraically we have y=12f(x3). Of our four transformations, (1) and (3) are in the x direction while (2) and (4) are in the y direction. The order matters whenever we combine a stretch and a translation in the same direction.

Challenge An airplane is preparing to land at an airport. It is 36,000 feet above the ground and is descending at the rate of 3,200 feet per minute. At the same airport, another airplane is taking off and will ascend at the rate of 2,800 feet per minute. When will the two airplanes be at the same altitude and what will that altitude be? Use pencil and paper. Use two other methods to solve the problem. Explain which methods are easier to use and which are more difficult to use for the situation


They will be at the same altitude in _ minutes, when their altitude will be _ feet.

Answers

Answer:

6 seconds., 16800 feet

Step-by-step explanation:

The first plane is going y = -3200x + 36000

The second plane is going y = 2800x

Substitute the second equation for y into the first one:

2800x = -3200x + 36000

6000x = 36000 (Add 3200x to both sides)

x = 6 (Divide each side by 6000)

That means they will be the same altitude at 6 minutes.

To find how high, put your answer into one of the equations.

y = 2800 (6)

y = 16,800 feet

The face of a clock is divided into 12 equal parts. The radius of the clock face is 10 inches. Assume the hands of the clock will form a central angle. The face of a clock is divided into 12 equal parts. Which statements about the clock are accurate? Select three options. The central angle formed when one hand points at 1 and the other hand points at 3 is 30°. The circumference of the clock is approximately 62. 8 inches. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°. The length of the major arc between 3 and 10 is approximately 31. 4 inches. The length of the minor arc between 6 and 7 is approximately 5. 2 inches.

Answers

The accurate statements are:

b. The circumference of the clock is approximately 62.8 inches. c. The minor arc measure when one hand points at 12 and the other hand points at 4 is 120°.  e. The length of the minor arc between 6 and 7 is approximately 5.2 inches.

The given parameters are:

[tex]n = 12[/tex] --- number of parts

[tex]r = 10[/tex] --- the radius

(a) The central angle

Between points 1 and 3, there are 2 sections, each of which has a measure of 30 degrees.

So, the measure of the two sections is:

[tex]\theta = 30^o \times 2[/tex]

[tex]\theta = 60^o[/tex]

Hence, (a) is false

(b) The circumference

This is calculated using:

[tex]C = 2\pi r[/tex]

So, we have:

[tex]C = 2 \times 3.14\times 10[/tex]

[tex]C = 62.8[/tex]

Hence, (b) is true

(c) The measure of the minor arc

Between points 12 and 4, there are 4 sections, each of which has a measure of 30 degrees.

So, the measure of the four sections is:

[tex]\theta = 30^o \times 4[/tex]

[tex]\theta = 120^o[/tex]

Hence, (c) is true

(d) The length of the major arc

Between points 3 and 10, there are 7 sections, each of which has a measure of 30 degrees.

So, the measure of the seven sections is:

[tex]\theta = 30^o \times 7[/tex]

[tex]\theta = 210^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{210}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{13188}{360}[/tex]

[tex]L = 36.3[/tex]

Hence, (d) is false

(e) The length of the minor arc

There is only one section between points 6 and 7

So, the measure of the section is:

[tex]\theta = 30^o[/tex]

The length of the arc is:

[tex]L = \frac{\theta}{360} \times 2\pi r[/tex]

So, we have:

[tex]L = \frac{30}{360} \times 2 \times 3.14 \times 10[/tex]

[tex]L = \frac{1884}{360}[/tex]

[tex]L = 5.2[/tex]

Hence, (e) is true

Read more about segments and arcs at:

https://brainly.com/question/14965059

Answer:

-B

-C

-E

Step-by-step explanation:

just took the test...

I got them right

Reduce the fraction and find the domain:

(c+2)^2 divided by 7c^2+14c

Answers

the answer is c + 2/7c

someone help pleaseee

Answers

Answer:

(x+1)x(x+7)x(3x-4)

Step-by-step explanation:

Find y such that the slope between (2, y) and (5, -3) is 7.​

Answers

Answer:

y= -24

Step-by-step explanation:

since the slope is 7 the value of y should decrease as the value of x decreases. and since you went back 3 on the x, you should go down 21 on the y resulting in -3-21 which is -24

please help me with this problem

Answers

Answer:

v=32

Step-by-step explanation:

23-15=8x4=32

32/4+15=23

A recipe that serves 8 people requires 4 1/2 cups of flour. How many servings are in one recipe? Suppose you need to make enough to serve 24 people. How many batches of the recipe would you need to make?

Answers

Answer:

check online for more information

Answer:

Check online for more informations.

The mean length of time, per week, that students at a certain school spend on their homework is 24.3 hours, with a standard deviation of 1.2 hours. Assuming the distribution of study
imes is normal, what percent of students spend more than 25 hours per week on homework?
Round
your answer to the nearest hundredth.

Answers

Answer:

21.1%

Step-by-step explanation:

(25 - 24.3) / 1.2 = 0.5833 z score = 78.9%

You need the percent that spend more than 25 hrs per week, so 100 - 78.9 = 21.1%

The lines represented by the equations y=-2x-6 and 2y+x=-16 are

Answers

Answer:

Is that the entire question? I want to help but I don't see a full question it looks like half of one

When the expression 3(n + 7) is evaluated for a given value of n, the result is 33. What is the value of n.

Answers

Answer:

i think n = 4

Step-by-step explanation:

3(n+7) = 33

3n+21 = 33

3n = 12

n = 4

Answer:

n=4

Step-by-step explanation:

3(n+7)=33

3n + 21=33

3n=33-21

3n=12

n=12÷3

n=4

The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals 2 feet. What is the width of the living room on the new​ blueprint? (The width is 12in)

Answers

Answer:

18 feet

Step-by-step explanation:

If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D

Evaluate. −5 1/4 +2(4.6+3/8) Enter your answer as a decimal or a mixed number in simplest form.

Answers

the answer is 4.7! (p.s cymath is a great website to use for stuff like this:)

2. Solve for x.
28
2x + 8
82
5x - 4

Answers

Answer: x = 10 x = 17.2

Solution of Problem 1:

2x + 8 = 28=> 2x = 28 - 8=> 2x = 20=> x = 10

Solution of Problem 2:

82 = 5x - 4=> 82 + 4 = 5x=> 86 = 5x => x = 86/5=> x = 17.2

Therefore:

Answer of Problem 1: x = 10Answer of Problem 2: x = 17.2

Hoped this helped.

[tex]BrainiacUser1357[/tex]

what equation has infinite solutions
4(x+2) = 9
4(x+2) = 4x + 8
4(x+2) = 4x + 2
4(x+2) = 12

Answers

Answer:

4(x+2) = 4x + 8

Step-by-step explanation:

because if they are multiplied out it would be 4x+8 = 4x + 8 which means it is infinite because both sides are equal

4(x+2)=4x+8

4x+8=4x+8
Both side is equal no matter what.

anybody help please hm​

Answers

The answer should be C

HELP PLEASE!!

1. Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?

Answers

Answer:

68 got it right on the test!!!

Step-by-step explanation:

Jalen earns $33 for babysitting 4 hours.


After how many hours of babysitting will Jalen have made over $500?

Answers

Answer:
60.6 hours
Explanation:
If Jalen earns $33 for 4 hours, then that means she earns $8.25 every 1 hour. The equation for this is y=8.25x. Y represents the total amount earned while x represents the amount of hours. We can substitute $500 for y and solve the for equation. So 500 divided by 8.25 would give you 60.6, meaning it would take Jalen 60.6 hours of babysitting to earn $500

60.6 hours Jalen have made over $500.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Jalen earns $33 for babysitting 4 hours.

So, in one hour Jalen earns = 33/4

                                              = $8.25

and, if Jalen have to made over $500 then she works

= 500/ 8.25

= 60.6 hours

Hence, 60.6 hours Jalen have made over $500.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?

Answers

Answer:

28%

Step-by-step explanation:

(3red+4red)/25candy = 7/25 = 28/100 = 28%

how do you expand 5(2x - 1)?

Answers

multiply 5 by each number in the parentheses

Hey there!

5(2x - 1)

DISTRIBUTE 5 WITHIN THE PARENTHESES

= 5(2x) + 5(-1)

= 10x - 5

Therefore, your answer is: 10x - 5

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Suppose two bicyclists start at the same location.
The first bicyclist rides due north and the other rides
due west. Find the speed that each bicyclist rode in
miles per hour if they are 8V2 miles apart after riding
for 2 hours at the same speed

Answers

Answer:

  4 mi/h

Step-by-step explanation:

The distance between the cyclists is the hypotenuse of an isosceles right triangle. The hypotenuse is √2 times the length of the legs in such a triangle, so each cyclist must have ridden 8 miles in 2 hours.

Their speed is (8 mi)/(2 h) = 4 mi/h.

_____

Additional comment

Consider an isosceles right triangle with leg lengths 1. Then the Pythagorean theorem tells us the length of the hypotenuse is ...

  c² = a² +b² . . . square of hypotenuse is sum of squares of legs

  c² = 1² +1² . . . . both legs are 1 in our example triangle

  c² = 2

  c = √2

That is, the hypotenuse is √2 times the leg length.

plz help me find this answer for number 9 and number 10 offering 20 points for a answer !!

Answers

Answer:

7

Step-by-step explanation:

Terms are the numbers and/or variables within an equation. For example you have 5 terms in that equation:

[tex]3x^2+7y^3+2x+9y-5y^2[/tex]

The first term is: [tex]3x^2[/tex]

The second term is: [tex]7y^3[/tex]

The third term is: [tex]2x[/tex]

The fourth term is: [tex]9y[/tex]

The fifth term is: [tex]-5y^2[/tex]

Coefficients are the numbers in front of variables (this includes negative/subtraction signs). For example you have 5 coefficients in this equation:

The first coefficient is: 3

The second coefficient is: 7

The third coefficient is: 2

The fourth coefficient is: 9

The fifth coefficient is: -5

2. Graph each inequality on a number line:

5x + 15 < 0

Answers

Answer:

x < -3

Step-by-step explanation:

1. To put this inequality on a number line, we first must solve it.

Step 1: Subtract 15 from both sides.

[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]  

Step 2: Divide both sides by 5.

[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]

2. Now that we know x < -3, let's graph it!

Since it's less than, we make the number line point to the left, and we make the circle open.

NO LINKS!!!

Help please ;-;

And please answer all 1, 2, 3, 4 questions!
Choose the inequality that describes the following


____ 1. The set of numbers {‐3, ‐2, ‐1, 0, 1, ...}

A. x > ‐4

B. x < ‐4

C. x ≥ ‐4

D. x ≤ ‐4


____ 2. The set of numbers {9, 8, 7, …}

A. x > 9

B. x < 9

C. x ≥ 9

D. x ≤ 9


____ 3. The set of numbers {0, -2, -4, -6, -8, ...}

A. x > 0

B. x < 0

C. x ≥ 0

D. x ≤ 0


____ 4. The set of numbers {-6, -4, -2, 0, 2, 4, 6, ...}

A. x > ‐6

B. x < ‐6

C. x ≥ ‐6

D. x ≤ ‐6

Answers

1. A

2. D

3. D

4. C

(IF YOU NEED A EXPLANATION, JUST ASK!)

After 10 seconds on a zip line tour, you travel 50 feet. After 25 seconds, you travel 125 feet. Find the slope in feet per second

Answers

Answer:

5 feet per second

Step-by-step explanation:

Use the formula y2-y1/x2-x1. (10,50) is x1 and y1. 25 seconds and 125 feet is x2 and y2.

(125-50)/(25-10) = 75/15

We need to solve for the feet per (or 1) second, so we have to divide it by 15.

75/15= 5

So, the slope is 5 feet per second.

Need help ASAP! Directions and problem in picture;)

What is the value of ?

Answers

Answer:

105⁰

Step-by-step explanation:

Please refer to the attachment.

Hope it helps :)

PLEASE HELP QUESTION IN PICTURE

Answers

I think it’s B 132 because it’s an obtuse angle and those measure more than 90 degrees
It’s definitely B because ABC is a obtuse angle and B is the number above 90

PLS HELP ILL MArk BRAINLIEST!!

Answers

it should be 960 because it’s length x width x height

960 cubic ft

Step-by-step explanation:

I'm just super smart looool

Which graph best represents the solution set of y 3 x − 4?

Answers

Answer:

Step-by-step explanation: i dont know but i still can help i think its answer The graph that best represent the solution set of y > 3x - 4 is D. The inequality is as follows: y > 3x - 4. lets find y when x = 0.

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