What is the domain of √ 1 x²?

Answers

Answer 1

A domain has [-1, 1]

Now, According to the question:

Let's know:

How do you find the domain?

Let y = f(x) be a function with an independent variable x and a dependent variable y. If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

A square root with a negative number under the root cannot produce a real number. This means that [tex]1-x^2[/tex] must be greater than or equal to zero.

Squaring a real number will always produce a positive number, so [tex]x^{2}[/tex]must be equal to or smaller than 1. This means x is between 0 and 1, giving the domain of [0,1].

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The complete question is this ;

What is the domain of [tex]\sqrt{1-x^2}[/tex]


Related Questions

A spinner with equal sections numbered from 1 to 5 is spun twice. Raul is finding the probability that both spins will result in an even number. Find his mistake and explain what he should have done instead.
(2/5) x (1/4) =(2/10)

please help im really just about to cry myself to sleep and call it a day bcs im off the edge rn and i have to deal with school at the same time T_T

Answers

Answer:

his mistake is that he didn't need to remove one even number on the spinner so we just need to take 2/5x1/5equals2/25

HELP DUE IN 15 MINS!

The opposite angles of a parallelogram are congruent.



True

False

Answers

Answer:

True

Step-by-step explanation:

A rectangle is a parallelogram with four right angles, opposite sides parallel, opposite sides congruent, opposite angles congruent, consecutive angles are supplementary, and the diagonals bisect each other.

Hope it is helpful....

The area of different squares are shown. For each square, write an expression using a square root that can be used to estimate the length of one side.

Help me please! greatly appreciated if so!

Answers

Answer:

...

Step-by-step explanation:

since the area of a square is side² then we can just square root the area and find the side

first one to the left would be √16, which would equal 4, which in this case is correct

first one the right is √220 which is about 18.832

bottom left √65 which is about 8.062

bottom left √83 which is about 9.110

Wanda has 5 different fish in a small, crowded tank. She decides to randomly scoop up individual fish and transfer them to a new tank until a total of 4 fish have been moved. How many sequences of 4 fish are possible?

Answers

Answer:

64 sequences of 4 fish are possible.

The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?

Answers

Answer:

-4,-2,2

Step-by-step explanation:

look where line reaches zero

Help ASAP plz need answer:)

Answers

The slope intercept is y=3x + 5

In a rhombus MNLP, diagonals intersect each other at point O. If m∠MNL is 120° and the length of the side is 8 in, find m∠MNO, m∠MON, and NP. A (5pts) Find m∠MNO. Answer

Answers

In a rhombus, all sides are equal and the diagonals intersect each other at a 90 degree angle and bisect each other.  

Diagonal of a rhombus bisects the angles of the rhombus at the vertex.

So as m∠MNL is 120°,

∠MNO = ∠LNO = 120/2 = 60°

The diagonals intersect each other at a 90 degree angle, therefore

m∠MON = 90°

Considering ΔMNO, right angled at O.

cos(∠MNO) = NO/ MN

cos(60) = NO/ 8

NO = 0.5×8 = 4

NP = NO + OP

NP = 2NO

NP = 2×4

NP = 8 in

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Triangle EFG is dilated by a scale factor of 2/3 to form a triangle E'F'G'. What is the measure of side E'F'?

Answers

By using scale factor formula we can evaluate the measure of side EF.

What happens when we dilate a triangle?

When a triangle is dilated by scale factors.The base and height change by the scale factor s while the area changes by a factor of s^2. While the scale distances between points dilations do not change angles.Dilation is used to make the objects larger or smaller.

How do you find scale factor?

The scale factor can be calculated when the new dimensions and the original dimensions are given. The basic formula to find the scale factor of a figure is Scale factor = Dimension of the new shape ÷ Dimension of the original shape.

From the question ΔE'F'G' is the image formed by the dilation of preimage ΔEFG.

Therefore,

2/3  =[tex]E_{1}[/tex][tex]F_{1}[/tex]/EF

EF=3/2[tex]E_{1}[/tex][tex]F_{1}[/tex]

By substituting any value of F'G' given in the equation we can evaluate the measure of side FG.

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The point A has coordinates (0,6)What point do we get when we reflect A across the x-axis and then across the y-axis?
(Choice A)
A
(Choice B)
B


(Choice C)
C


(Choice D)
D

(Choice E)
E
PLEASE ANSWER ASAP!!!!!!!!!!!!!!!! I'LL GIVE BRAINLIEST!!!!!!!!

Answers

Answer:

The answer is C

Step-by-step explanation:

opposite of y-axis.

ILL MARK YOU BRAINLEST IF YOU AWNSER PLEASE!! look at the photo and what is the measure of x? help me please!!

Answers

37 degrees is the measure of x

what are the domain and range of the function f(x)=2^x+1

Answers

Answer: The domain is all values of x that make the expression defined. The range is the set of all valid y values

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be Domain: (-∞, ∞) and   Range: (0,∞).

What is function?

Any input will only result in one or zero outcomes for the function. The expression does not define the function if there are several outputs for a given input. Each value of x must have only one output value of y variable in order for anything to be a function.

Here,

Given :  f(x)=[tex]2^{x}[/tex]+1

If a value has not been added, an exponential function's curve normally approaches a horizontal asymptote at y=0 or the x-axis. The curve changes if it has.

The asymptote is unaffected by this function's addition on the exponent because it does not apply to the entire function.

The values of its y-axis remain between 0 and. This is the set of y values, or the range.

However, depending on the leading coefficient, the range of exponentials can vary. If the value is negative, the graph turns inside-out and the range reaches -. It's also lacking in this.

The exponent's addition to 1 moves the function to the left without changing the range.

The x values in exponential functions are often unaffected and all are taken into account in the function. The domain stays the same even while it changes. Its range is (0,∞)

 Range: (0,∞)

Therefore , the solution of the given problem of function comes out to be

Domain: (-∞, ∞) and   Range: (0,∞).

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Just one question I only need the answer (I will give brainly) pls do #4 and if you feel like being a nice person you could do 5 to

Answers

answer: 1.8x^2
if you need it in fraction form it’s 9/5x^2

What are the opposites of 8, −3.5, 1.15, and 7/1/4

Answers

Answer:

-8, 3.5, -1.15, and -7/1/4

1. The ratio of peaches in a box is constant. The table below compares the number of peaches that are in the box.
boxes peaches
2 6
blank 9
5 blank
6 18

2. The ratio of strawberries in a box is
constant. the table below compares the number of strawberries that are in the boxes
boxes strawberries
2 blank
4 12
5 15
8 blank




please help

Answers

The table representing ratio of peaches in a box should be completed as follows;

Boxes    Peaches

2                 6

3                 9

5                15

6                18

The table representing ratio of strawberries in a box should be completed as follows;

Boxes    Strawberries

2                 6

4                12

5                15

8                24

How to complete the tables?

In order to have a proportional relationship and equivalent ratios that is constant, the variables x for boxes and y for peaches must have the same constant of proportionality. Next, we would determine the constant of proportionality (k) based on the given parameters:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 6/2 = 18/6

Constant of proportionality (k) = 3.

When y = 9 peaches, the value of x is given by;

x = y/k

x = 9/3

x = 3 boxes.

When x = 5 boxes, the value of y is given by;

y = kx

y = 3(5)

y = 15 peaches.

Question 2:

Also, we would determine the constant of proportionality (k) based on the given parameters:

Constant of proportionality (k) = y/x

Constant of proportionality (k) = 12/4 = 15/5

Constant of proportionality (k) = 3.

When x = 2 boxes, the value of y is given by;

y = kx

y = 3(2)

y = 6 strawberries.

When x = 8 boxes, the value of y is given by;

y = kx

y = 3(8)

y = 24 strawberries.

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PLEASE HELP! :/

The work of a student to solve the equation 4(3x − 4) = 8 + 4x + 8 is shown below:
Step 1. 4(3x − 4) = 8 + 4x + 8
Step 2. 7x − 8 = 16 + 4x
Step 3. 7x − 4x = 16 + 8
Step 4. 3x = 24
Step 5. x = 8


In which step did the student first make an error and what is the correct step?
A. Step 2, 12x − 16 = 16 + 4x
B. Step 2, 12x − 8 = 2(4 + 2x + 4)
C. Step 3, 7x − 4x = 16 − 8
D. Step 3, 7x + 4x = 16 + 8

Answers

Answer:

A

Step-by-step explanation:

4 times 3 and-4 is 12x and -16 not 7 and -8.

NO LINKS Consider the isosceles trapezoid.
What is the value of y?

Answers

Answer:

y = 9    x= -11

Step-by-step explanation:

opposite angles of a trapezoid are supplementary.

The two angles of  the same base in an isosceles triangle are congruent.

-6x-16 = 50

-6x = 66

x= -11

The supplementary of 50 is 130

3x+16y+19 = 130

-33 +16y +19 = 130

16y = 144

y = 9

The sum of all 4 angles is 360 degrees

suppose you and three friends are each dealt 13 cards from a shuffled deck, and you observe that you were dealt a single ace; what is then the probably that your three friends also each have an ace

Answers

The probability of each of your three friends having an ace is 32%.

The probability of each of your three friends having an ace is calculated using the Binomial Probability Formula. The formula is P(x) = nCr * p^x * (1-p)^(n-x). Here, n = 13 (number of cards dealt to each person) , r = 1 (number of aces you want to calculate the probability of), p = 4/52 (probability of getting an ace from a deck of 52 cards) and x = 1 (number of aces each of your three friends have).

Therefore, the probability of each of your three friends having an ace is P(x) = 13C1 * (4/52)^1 * (48/52)^(13-1) = 0.32.

This means that the probability of each of your three friends having an ace is 32%.

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Mike has $25 in his savings account. He earns $8 for every lawn he mows, and he plans to put it all in savings. Write and solve an inequality to find how many lawns would he have to mow to earn at least $65 1. Define the wariable: 2. Write the inequality and solve: 3. Answer the problem: ​

Answers

25 (savings)
8x ( every time he mows)
65= 8x+ 25 (equation)

65= 8x+ 25
-25=-25
40=8x
40/8
x=5
He would need to mow 5 times.

a. Complete the table to show the length of the field for each given width.

Width (feet) Length (feet) 0 50 100 150 200 250 300

b. Define the function (w) to represent the length of the field as

Answers

The length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)

What is a function?

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given that a table for showing the relation between length and width of a field;

                Width (w)                                     Length (l)

                       0                                                   50

                     100                                                 150

                     200                                                250

                     300                                                350

We see, that, width is 50 less than the length.

Therefore, the function (w) to represent the length of the field will be =

w = l-50

Hence, the length of the field for the missing width is 350 ft. and the function (w) to represent the length of the field is w = (l-50)

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Mhanifa please help! This is due tomorrow

Answers

Answer:

Use Pythagorean to confirm:

a² + b² = c²#43.1² + 1.6² = 12.173.4² = 11.5612.17 ≠ 11.56No#5√7² + (2√3)² = 7 + 12 = 19√19² = 1919 = 19Yes#636² + 15² = 152139² = 15211521 = 1521Yes

HELPPP 1. Write an equation of the ellipse with foci (0,14) and co-vertices at (±4,0).

Answers

The equation of the ellipse with foci (0,14) and co-vertices at (±4,0) is [tex]x^2/16+y^2/36[/tex].

Define ellipse.

An ellipse is a geometric shape that is defined as the set of points such that the sum of the distances between the points and two fixed points (foci) is constant. It is a type of conic section and is defined by the equation:

[tex](x^2/a^2) + (y^2/b^2) = 1[/tex]

Where a and b are the semi-major and semi-minor axes, respectively. An ellipse can also be defined as the shape that results from the intersection of a plane and a cone at an angle that is not perpendicular to the base of the cone.

[tex]c=14, b=4, a²=b²+c²== > a=2√9\\x^2/b^2 + y^2/a^2\\x^2/16+y^2/36[/tex]

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Solve the system by graphing

2x-3y=-6

7x-3y=9

Answers

Following is the graph of two given equations.

The mapping of functions of two variables onto a Cartesian coordinate system, which is made up of a horizontal x-axis, or abscissa, and a vertical y-axis, or ordinate, is done analytically through the use of graphs. The intersection of each axis, which is a real number line, at its zero point is known as the origin.

On solving the two equations,

2x-3y=-6                              ....(1)

7x-3y=9                               .....(2)

Firstly we will find common points by elimination -

The common points are - (3,4)

Then We can find all the values of equation (1)

2x-3y=-6                          

x    0      3    -3

y    2      4     0

7x-3y=9

x    0      3    10

y   -3      4    20.33

The respective graph is attached below

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Ron's car uses 12 L of gasoline per 100 km of highway driving. Asma's car as 5/6 as much fuel. How much fuel does Asma's car use per 100 km of highway driving?

Answers

10L  fuel does Asma's car use per 100 km of highway driving

In this question, we have to use the 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.

What is a unitary in math?

a unitary state. (mathematics, of an algebra) That contains an identity element. (mathematics, linear algebra, mathematical analysis, of a matrix or operator) Whose inverse is equal to its adjoint.

So from the unitary method, we can solve it

12 L of gasoline per 100 km

so for 5/6

12 L * 5/6

= 10 L

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PLEASE HELP ILL BRAINLIEST YOU

Answers

Answer:

let's take AC as x

AB is half of AC making it ½x

½x+½x+x+x=120

3x=120

[tex] \frac{3x}{3} = \frac{120}{3} [/tex]

x =120÷3

x=40

therefore AC is 40 while AB is 20

Answer:

AB = 20 ft

AC = 40 ft

Step-by-step explanation:

Perimeter of a rectangle = 2(l+b)

Perimeter (given) = 120 ft.

AB = ½ of AC

AC = 2 AB

Let x be the length of AB.

Then, AC = 2x

Now,

2(2x+x) = 120

2×(3x) = 120

6x = 120

x = 120/6 = 20 ft.

2x = 2×20 = 40 ft.

AB = 20 ft.

AC = 40 ft

4/3 divided by 12= simplified and fraction form!

Answers

Answer:

[tex]{\huge\pink{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex] \frac{4}{3} \div 12 \\ = \frac{4}{3} \times \frac{1}{12} \\ = \frac{4}{3 \times 12} \\ = \frac{4}{36} \\ = \frac{1}{9 } \\ = 0.11[/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

[tex] \huge\red{ \mid{ \underline{ \overline{ \tt ꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐ }} \mid}}[/tex]

Answer:

1/9 is the answer

4/3 x 1/12 just multiply but the reciprocal

hope this helps

have a good day :)

Step-by-step explanation:

What is the circumference of the circle? Assume pi = 3.14

Answers

Answer:

5 x 2 x 3.14 = 31.4

Formula of circumference:

radius(half of your diameter or given radius) x pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2(just always there when finding circumference)

Answer:

Circumference : 31.4 cm

Step-by-step explanation:

Circumference = 2× 3.14 × 5 cm

= 10× 3.14 cm

= 31.4 cm

Write your own statical question.Can someone give me one to right down please

Answers

can I explain what statistical mean

In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology. All the students do at least one of the three subjects. 3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only. Find the number of numbers of students that do two subjects only exactly one subject at least two of the subjects Represent the information on a complete Venn diagram.

Answers

Number of students that do two subjects are 12.

Number of students that do only exactly one subject are;

For Art;

⇒ 14

For Chemistry;

⇒ 11

For Bio;

⇒ 8

Number of students that do at least two of the subjects are 15.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

In a class of 48 students, 24 of them do Arts, 22 do Chemistry and 20 do Biology.

All the students do at least one of the three subjects.

3 do all three subjects while 4 do Arts and Biology only, 3 do Arts and Chemistry only and 5 do Chemistry and Biology only.

Here,

Total students = 48

So, Number of students that do two subjects are = 4 + 3 + 5

                                                                            = 12

And, Number of students that do only exactly one subject are;

For Art;

⇒ 24 - (3 + 4 + 3)

⇒ 14

For Chemistry;

⇒ 22 - (3 + 5 + 3)

⇒ 11

For Bio;

⇒ 20 - (3 + 4 + 5)

⇒ 8

Number of students that do at least two of the subjects are;

⇒ 3 + 3 + 4 + 5

⇒ 15

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Solve 12 (10x + 3 -8y)

Answers

Answer:

120x - 96y + 32

Step-by-step explanation:

12 (10x + 3 -8y)

We use the distributive property to solve

120x - 96y + 32

One of the most important when writing the order of an equation is always written the number with the variable first; that is why the answer is

120x - 96y + 32

5. Suppose you went on vacation but forgot your smart phone

charging cable. Your phone battery died after two full days

(48 hours) of use. This situation is modeled by the equation

f(h) = 48, where h is the hours of cell phone use and

f(h)is the percentage of battery life left.

What is the upper bound of the parameter h?

hrs

What is the lower bound of the parameter h? •

hrs

Answers

The upper and lower bounds of the parameter h is found to be 0 and 1 respectively.

What is upper and lower bound of a function?

A number U serves as an upper bound for a function f, meaning that for any x, f(x) ≤ U. A number L serves as a function's lower bound, ensuring that for all x, f(x) ≥ L.

Given,

 [tex]f(h) = \frac{48-h}{48}[/tex]

where    f(h) = Percentage of battery left

              h = Hours of cell phone use

Lower Bound of parameter h,

h = 0 ( When percentage is 100%)

f(h) = [tex]\frac{48 - 0}{48}[/tex] = 1

Upper bound of parameter h,

h = 48 (When percentage is 0%)

f(h) = [tex]\frac{48-48}{48}[/tex] = 0

Therefore the upper bound of h is 0 and lower bound of h is 1.

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