how do find the domain and range from a graph, and writing it as an inequality ​

Answers

Answer 1
To determine the domain is the same as to determine which numbers appear as the first number (the x-value) in an ordered pair that is part of the graph.
To determine the range is the same as to determine which numbers appear as the second number (the y-value) in an ordered pair that is part of the graph.
Here are some examples:
y

x
2
+
3
graph{y >= x^2+3 [-11.6, 13.72, 0.15, 12.81]}
Although it is not 100% certain from just the graph, this graph does get wider and wider. Every
x
does appear in some ordered pair on the graph. The domain is all real numbers.
The
y
values that appear start at
3
and go up. We get all numbers greater than or equal to
3
. Inequality:
y

3
.
If you've learned interval notation, you write:
[
3
,

)
x
2
+
y
2
9

1
# graph{x^2 + y^2/9 <= 1 [-5.35, 7.14, -3.105, 3.14]}
Domain (x-values) Go from

1
to
1
(inequality:

1

x

1
)(interval:
[

1
,
1
]
)
Range:

3
to
3
(inequal:

3

y

3
(interval:
[

3
,
3
]
)
More challenging:
x
2
+
y
2
<
9
graph{x^2+y^2 < 9 [-5.35, 7.14, -3.105, 3.14]}
The dotted line is not included, so we do not include the points at

3
or at
3
.
Domain:

3
<
x
<
3
(interval
(

3
,
3
)
)
R
a
n

:
-3(

e
r
v
a
l
(-3, 3))
Last one:
x

y
2
<
6
graph{x- y^2 < 6 [-9.87, 30.68, -9.96, 10.32]}
Domain: all real numbers
Range: all real numbers

Related Questions


10 POINTS : What is the solution to the equation 3/5x-6=-1/6x+7, rounded to three decimal places?

Answers

Answer:

x = 16.957

Step-by-step explanation:

(3/5)x - 6 = (-1/6)x + 7

Add (1/6)x to both sides. Add 6 to both sides.

(3/5)x + (1/6)x = 7 + 6

(18/30)x + (5/30)x = 13

(23/30)x = 13

Multiply both sides by 30/23.

x = 13/1 * 30/23

x = 390/13

x = 16.957

You pick a card at random 6,7,8,9. What is P (8)?

Answers

Answer:

1/4

Step-by-step explanation:

Suppose P(C) = 98%; P(D) = 88%; and P(C or D) = 33%.
Find P(C and D).
Can this really be a probability? If not, explain why not.

Answers

Answer:

[tex]P(C\ and\ D) = 153\%[/tex]

Step-by-step explanation:

Given

[tex]P(C) = 98\%[/tex]

[tex]P(D) = 88\%[/tex]

[tex]P(C\ or\ D) = 33\%.[/tex]

Required

[tex]P(C\ and\ D)[/tex]

In probability, the relationship between the given parameters and the required parameter is:

[tex]P(C\ and\ D) = P(C) + P(D) - P(C\ or\ D)[/tex]

Substitute values in the above formula

[tex]P(C\ and\ D) = 98\% + 88\% - 33\%[/tex]

[tex]P(C\ and\ D) = 153\%[/tex]

No, it can't be a probability

Because [tex]P(C\ and\ D) > 100\%[/tex]

If f(x) = 4x – 2 and g(x) = 5x – 3, what is g(f(2))?

Answers

Step-by-step explanation:

f(2) = 4(2) - 2

= 8 - 2

= 6

g(f(2)) = g(6)

g(6) = 5(6) - 3

= 30 - 3

= 27

g(f(2)) = 27

Use the given conditions to write an equation in point-slope form. Keep parenthesis in point-slope form. slope = 7, passing through (1,-3)

Answers

Answer:

Step-by-step explanation:

y + 3 = 7(x - 1)

y  + 3 = 7x - 7

y = 7x - 10

Solve the equation: 2^2 − 9 + 10 = 0 Step by step

Answers

Step-by-step explanation:

2^2 − 9 + 10 = 0

4-9+10=0

4+1=0

5=0

False

Is Nora or Sofia correct? Explain your reasoning.

Answers

Answer:

  Nora is correct

Step-by-step explanation:

Sophia used an appropriate method for computing the value of the repeating decimal fraction ...

  0.1212_12

Close examination of the given decimal fraction shows that it is non-repeating, so is an irrational number. It cannot be represented by the ratio of integers.

Nora is correct in saying Sophia made a mistake.

___

Sophia depended on 100x -x cancelling some part of the fraction, so the result was a finite decimal. For repeating 2-digit fractions, this works well:

  [tex]x=0.12\overline{12}\\100x=12.12\overline{12}\\100x-x=12.12\overline{12}-0.12\overline{12}=12\\x=12/99[/tex]

However, the decimal does not repeat, so this does not work:

  100x = 12.1121112

  100x -x = 12.1121112 -0.121121112 = 11.99099009900099... non-repeating

That is, the decimal part is not cancelled by Sophia's work, as we said above.

On Monday a team of street sweepers cleaned 4 city blocks. Tuesday, the team cleaned 2 1/6 times as many blocks as on Monday. How many city blocks did the street sweepers clean on Tuesday?

Answers

1/5 is the answer :0000

There will be twelve and a half city blocks of the street sweepers clean on Tuesday.

What is a fraction?

The numerator, which is found at the top of the fraction number, and the denominator, which is located at the bottom, are its two component components.

It is given that, four city blocks were cleaned by a crew of street sweepers on Monday. The crew cleaned 2 1/6 as many blocks on Tuesday as they did on Monday.

Suppose the number of city blocks the street sweepers cleaned on Tuesday will be x,

x = 4 +  2 1/6 × 4

x=4+13/6×4

x=12.6≈ 12 1/2

Thus, the street sweepers will clean twelve and a half city blocks on Tuesday.

Learn more about the fraction here:

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What is the value of x that satisfies the equation 4/3=x+10/15

Answers

Answer:

4/3=x+10/15

x=4/3 - 10/15

x=4/3 - 2/3

x=4-2/3

x=2/3

X=23 will be your answer for this

What are the disadvantages of driverless cars? Check all that apply.​

Answers

Answer:

2 3 and 4

Step-by-step explanation:

Answer:

They cannot tell the difference between people and other objects. They will wait for crossing pedestrians even if signaled to keep driving.

Step-by-step explanation:

Quadrilateral EFGH is a scaled copy of quadrilateral ABCD. Select ALL of the true statements.
A. Segment EF is twice as long as segment AB, True or False
B. Segment CD is twice as long as segment FG. True or False
C. The measure of angle HEF is twice the measure of angle DAB. True or False
D. The length of segment EH is 16 units. True or False
E. The measure of angle BCD is the same as the measure of angle GFE. True or False

Answers

Answer: b,e

Step-by-step explanation:

HEEEEEEEEEEEEEEEELLLLLLLLLLLLLP :(

Answers

1 2/5 for mixed number and 7/5 one fraction I think

I need help with this geometry question​

Answers

Answer:

Angle [tex]AEC=80[/tex]°

Step-by-step explanation:

Which expression is equivalent to 7-3x+2


A. 7-x
B.7-2x
C.9-x
D.9-3x

Answers

Answer:

D

Step-by-step explanation:

7-3x+2=0

9-3x=0

-3x=-9

x=-9/-3

x=3

D)9-3x=0

-3x=-9

x=-9/-3

x=3

Please mark me as BRAINLIST

a regular polygon has 20 sides the measure of an exterior angle of polygon is​

Answers

Answer:

198 degrees

Step-by-step explanation:

Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks

Answer:

Step-by-step explanation:

Such a shape is called a 20-gon, such shapes have an interior angle of 162. Hence, the exterior angle = 360 (Complete angle) - 162 (The interior anlge) = 198 degrees, Hope my answer helps you, Thank you, and please add me as brainliest! Thanks and Godbless

Calculate the average speed between 160 s to 200 s

Answers

[tex]v=(0-150)/(200-160)=-150/40=-3,75[/tex]Answer:

-3,75

Step-by-step explanation:

Velocity is the derivative of time displacement

The geometric meaning of the derivative-tangent of the angle of inclination of the tangent to the function.



You are given the list of numbers, -9, 8, 3.0,

2

5'

2.42, 1. Which numbers are rational? Irrational?

Answers

all of the numbers happen to be rational I THINK

draw a flat shape that has no straight sides or angles

Answers

Answer:

try drawing a circle or an oval

Step-by-step explanation:

There are no edges or corners to a circle, ovals, or semicircles, making it a spherical form. Shapes may be categorized and sorted using these qualities as well as size.

What is a circle?

A group of points that are all at the same distance from a fixed point is how it is characterized (called the center of a circle).

Ovals, semicircles, circles, and other closed forms all lack straight lines. Having one curved edge and one straight edge, a semicircle is a closed form.

An oval is a circle that has been flattened such that it resembles an egg or an ellipse: a mirror with an oval shape; a face with an oval shape. Ellipsoidal comparison.

By dividing a circle into two equal halves along the diameter line, a semicircle is created. There is just one line of symmetry in the semicircle, and that is the reflection symmetry. A half-disk is another name for the semicircle.

Thus, the flat shape that has no straight will be ovals, semicircles, and circles.

Learn more about circle here:

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If someone is good in theoram please help me I need help with task 3,4,5

Answers

Answer:

C²= A²+B²

Step-by-step explanation:

A) 10²=( Base)² + 6²

(Base )²= 10² - 6²:

100-36

= 64

Base = √ 64

8

B) 17² = 8² + (Height)²

(Height) ² = 17²- 8²

= 289-64

= 225

Height = √225

= 15

C) 2.5² = Base ² + 1.5 ²

Base² = 2.5 ²- 1.5²

6.25- 2.25

= 4

Base = √4

= 2

D) 41² = Base²+ 40²

Base²= 41²- 40²

1681-1600

= 81

Base = √81

=9

E)26²=Base² +10²

Base² = 26²- 10²

676-100

= 576

Base= √576

= 24

F)25²= Base²+ 7²

Base² = 25²- 7²

625- 49

=576

Base= √576

= 24

Which of the following is a trinomial with a constant term?
A. X²-6
B. 5x2 - 4 + x
C. 4x5 + 2x - 2x2
D. -3+4x4

Answers

Answer:

I'm going to say B

What is the solution to the equation 4x = 52?

Answers

Answer:

x = 13

Step-by-step explanation:

4x = 52

x = 52/4

x = 13

Hope this helps!

The answer is the the question X=13

Which problem can be solved with the equation 1.75+(-1.75)=0?

Answers

Answer:

bank account one is the answer

Step-by-step explanation:

bank account one is the answer

Hope it helps

Pls mark as brainliest

Problem number 4 is solved by the equation 1.75 + (-1.75).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

In problem number 4, the question is the number Sam deposited in the amount of $1.75 and then purchased a movie ticket for $1.75.

The account balance will be represented by the equation.

Account = 1.75 + (-1.75)

The actual account balance will become zero.

To know more about an expression follow

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Given 4 c + 5 not-equals 0 and c is a real number, what is the multiplicative inverse of 4 c + 5 not-equals 0

Answers

Answer:

1 / 4c+5

Step-by-step explanation:

Given :

4c + 5 ≠ 0

c is a real number.

Find the multiplicative inverse of equation ?

The multiplicative inverse of a number is reciprocal of number

Let

x = a number

The multiplicative inverse = 1/x

Let 4c + 5 ≠ 0 be a number x

Then, the multiplicative inverse of x = 1/x

x = 4c + 5

1/x = 1 / 4c+5

Therefore, the multiplicative inverse of 4c + 5 = 1 / 4c+5

Answer:

yes what he said

Step-by-step explanation:

on edge

Find the distance between the points E(3,7)and(6,5).find the exact distance between the two points ?

Answers

Step-by-step explanation:

Let the distance points E(3,7) and F(6,5)

Distance between EF = √[(x2-x1)²+(y2-y1)²]→Formula

Here, x1 = 3, y1 = 7

x2 = 6 , y2 = 5

Now,

Put all the values in distance formulae:

AB = √[(6-3)²+(5-7)²]

= √[(4)²+(2)²]

= √[(4*4)+(2*2)]

= √[16+4]

= √[20] = 2√5 Units.

Answer:- Hence, the distance between two points E(3,7) and F(6,5) is 2√5 Units.

6x-2=7x+9 find x plz help

Answers

Answer:

[tex]x=-11[/tex]

Step-by-step explanation:

[tex]6x-2=7x+9[/tex]

Add 2 to both sides:

[tex]6x-2+2=7x+9+2[/tex]

[tex]6x=7x+11[/tex]

Subtract 7x from both sides:

[tex]6x-7x=7x+11-7x[/tex]

[tex]-x=11[/tex]

Divide both sides by -1:

[tex]\frac{-x}{-1}=\frac{11}{-1}[/tex]

[tex]x=-11[/tex]

Answer:

X= -11

Step-by-step explanation:

Simplifying

6x + -2 = 7x + 9

Reorder the terms:

-2 + 6x = 7x + 9

Reorder the terms:

-2 + 6x = 9 + 7x

Solving

-2 + 6x = 9 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.

-2 + 6x + -7x = 9 + 7x + -7x

Combine like terms: 6x + -7x = -1x

-2 + -1x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0

-2 + -1x = 9 + 0

-2 + -1x = 9

Add '2' to each side of the equation.

-2 + 2 + -1x = 9 + 2

Combine like terms: -2 + 2 = 0

0 + -1x = 9 + 2

-1x = 9 + 2

Combine like terms: 9 + 2 = 11

-1x = 11

Divide each side by '-1'.

x = -11

Simplifying

x = -11

Please help, I don't understand, please
5+(-5)

Answers

Answer: 0

Step-by-step explanation: To make this easier, ignore the addition sign (for this one, at least), so just do 5-5

Answer: 0

Step-by-step explanation:

36599 round to the nearest thousand 100,699 round to the nearest thousand

Answers

Answer:

36,599 rounded to the nearest thousand is 37,000

100,699 rounded to the nearest thousand is 101,000

hope this helps! best of luck <3

Answer:

37000

101000

Step-by-step explanation:

what is the reciprocal of 2 8/9

Answers

9/26

2 8/9 = 26/9

Reciprocal of 16/9 is 9/26

which number can each term of the equation be multiplied by to eliminate the fractions before solving?
plzzz help

Answers

Answer:

12.

Step-by-step explanation:

Because 12 is the only number that comes in 2,3 as well as 4s table.

Which of the following inequalities is incorrect?
00>-2
6 >-12
-5<-8
0-7<-5

Answers

Step-by-step explanation:

First, is 0 greater than -2? Correct

Next, is 6 greater than -12? Correct

Is -7 less than -5? Correct

Finally, is -5 less than -8? NERP!!

So C. is incorrect. Or in this case, it is...

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