Describe the domain and range of:

f(x) = — 4/x+1 +3

Answers

Answer 1

Answer:

Set the denominator in 4x equal to 0 to find where the expression is undefined. x=0

The domain is all values of x that make the expression defined.

Interval Notation: (−∞,0)∪(0,∞)

Set-Builder Notation: {x|x≠0}

The range is the set of all valid y values. Use the graph to find the range.

Interval Notation: (−∞,4)∪(4,∞)

Set-Builder Notation: {y|y≠4}

Determine the domain and range.

Domain: (−∞,0)∪(0,∞), {x|x≠0}

Range: (−∞,4)∪(4,∞), {y|y≠4}

Step-by-step explanation:


Related Questions

How to find the missing side of this triangle

Answers

Answer:

37 mm.

Step-by-step explanation:

Use Pythagoras theorem

Missing side in small triangle = sqrt (13^2 - 5^2)

= sqrt144

= 12.

So applying the same theorem to the large triangle

x^2 = 12^2 + 35^2

x^2 = 1369

x =  37 mm.

Reading the sentence below what keyword tells you that this is proportional. Please help I’m stuck!!

Answers

Answer:

Steady

Step-by-step explanation:

I understand how you can get confused on this but steady is your keyword because steady means at a proportional rate and has not drastic changes if graphed on a number line.

∠abc measures 115° and ∠dbc measures 70°. What is the measurement of ∠abd?

Answers

Answer:

45 °

Step-by-step explanation:

m< ABC = m< DBC + m< ABD

= 115 _ 70

= 45 °

Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please Help me please​

Answers

Answer:

5 units

Step-by-step explanation:

You can use the distance formula or pythagorean theorem to solve this.

Original point A: (0,0)

New point B: (3, 4)

Distance formula: [tex]\sqrt{(x_{2}-x_{1})^{2} +(y_{2}-y_{1})^{2} }[/tex]

Plug the points in:

[tex]\sqrt{(3-0)^{2} +(4-0)^{2} }[/tex] = 5

5 units

Answer:

The person above me is wrong

Step-by-step explanation:

No explanation necessary

PLEASE HELP ASAP! i don't get it

Answers

Answer:

0 - 20

1 -22

5 - 30

10 - 40

15 - 50

20 - 60

Step-by-step explanation:

The initial amount this equation is 20 so that is why at 0 shirts its still 20 dollars for the set up fee and 2 dollars per shirt. Now that we have this information we can actually make a linear equation

y = 2x + 20

y = the total cost

x = the number of shirts

All you have to do next is plug in the number of shirts to get the total cost

Example:   2(1) + 20 = y

2 + 20 = y

22 = y

Meaning for 1 shirt it would be 22 dollars in total

Which graph is given by the equation y = 4x - 4?
A)
B)
D

Answers

Answer:

C.

Step-by-step explanation:

In a bag there are only red counters and blue counters. 3/4 of the counters are red.
Write down the ratio of red counters to blue counters

Answers

Answer:

3:1

Step-by-step explanation:

3/4 is red & 1/4 is blue counters meaning because every 1 blue counter, there's 3 red counters

10. Which of the following pitchers account for a total of 40% of the strikeouts?
A. Jose, Samar, and Justin
B. Yu and Justin
C.Mark , Samar, and Jose
D. Jose and Carlos

Answers

The answer is B justin and yu

Mrs. Cashmore bought a large melon. She cut a piece that weighed 1 1/8 pounds and gave it to her neighbor. The remaining piece of melon weighed 6/8 pound. How much did the whole melon weigh? * in mixed number

Answers

Answer: 1⁷/₈ pounds

Step-by-step explanation:

The weight of the whole melon is the sum of the 1¹/₈ pounds given to the neighbor and the 6/8 pounds remaining.

Convert improper to proper:

1¹/₈  = 9/8

= 9/8 + 6/8

= 15/8

= 1⁷/₈ pounds

Don placed a ladder against the side of his
house as shown in the diagram below.
Ladder
20 ft
19.5 ft
X
Which equation could be used to find the
distance, x, from the foot of the ladder to the
base of the house?

Answers

Answer:

19.5^2 + x^2 = 20^2

Step-by-step explanation:

You would use the pythagorean theorem to find the missing side length

The equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

What is Pythagoras theorem?

Pythagoras theorem states that the sum of the square of base and perpendicular of a right angled triangle is equals to the square of hypotenuse.

i.e.

H² = P² + B²

We have,

Height of house = 19.5 ft,

And,

Length of ladder = 20 ft

And,

Distance of foot of ladder from house = x

Now,

Using the Pythagoras theorem,

i.e.

H² = P² + B²

So,

According to the question,

20² = 19.5² + x²

i.e.

[tex]x = \sqrt{ 20^2 - 19.5^2}[/tex]

So,

This is the equation that could be used to find the distance.

Hence, we can say that the equation that could be used to find the distance is [tex]x = \sqrt{ 20^2 - 19.5^2}[/tex].

To know more about Pythagoras theorem click here

https://brainly.com/question/18883775

#SPJ2

HURRY PLEASE Which equation shows the zero property of multiplication?

a.
p · (q + r) = p · q + p · r

b.
0 · p = 0

c.
q + 0 = q

d.
r + s = p · q

Answers

Answer:

B

Step-by-step explanation:

you must solve o as x equation

Dyson completed 85% of his field goal attempt last season if he attended 60 field goals how many did he make

Answers

Answer:

51 goals

Step-by-step explanation:

Given data

Dyson completed 85% of his field goal attempt

number of attempts = 60

Required

The number of goals

=85/100*60

=0.85*60

=51 goals

Hence he made 51 goals in all

Question Progress
1/2 Marks
Homework Progress
73 / 107 Marks
Here is a sequence of numbers:
1
3
6
10
15
a) What is the name given to these numbers?
.

Answers

Answer:

I honestly don't quite understand the question but here is the pattern of the sequence.

Each time the number is added, the number that is being added raises by one. For example:

1+2=3

3+3=6

6+4=10

10+5=15

and so on so the name would be the next consecutive number added.

Sorry I couldn't directly answer your question. Hope this helps!

Pls help I’ve tried everything and nothing is helping me lol. 25 points

Answers

Answer: Is this the whole question if not i can edit later and answer once i get it all?

reflection across the x-axis
so if (3,4) the old one is the new one going to b (3,-4) or will it stay the same ​

Answers

It is going to change .

AC = 6
7. Select the sequence of transformations
that would show that triangles ABC and
AED are similar. The length of AC is 6.
B
4
С
8
2
3
E
A

Answers

Answer:

Dilate from center A by scale factor of 2, then reflect over line AC

Step-by-step explanation:

(1) Dilate from center A  by  scale factor 2 and then  reflect  over line AC  

hence option (1) is correct.

Given

AC =6

The sequence of transformations   that would show that Δ ABC and  Δ AED are similar

For similar triangles  we can say that sides are proportional

from Δ ABC and  Δ AED  we write that

[tex]\rm \dfrac{AE}{AB } = \dfrac{ED}{BC}= \dfrac{AD}{AC}\\\\\\\rm \dfrac{4}{8} =\dfrac{2}{4} = \dfrac{3}{AC}[/tex]

We can clearly see that scale factor of dilation is 2  (given AC=6) , also we need reflection over line AC.  hence from given options.

(1) Dilate from center A by scale factor 2  and then  reflect  over line AC  

(2)  Dilate from center A  by  scale factor 2   and then  rotate   60° around angle A.

(3) Translate by directed line segment DC and then reflect over line AC.

(4) Dilate from center A  the by  scale factor 4   and then  reflect  over line AC  

hence option (1) is correct.

For more information please refer to the link below

https://brainly.com/question/20502441

                                                                                                                                         

If the frame has a uniform width of x, which equation represents the area of wall space needed to hang the photo with the frame?

Answers

Answer:

Step-by-step explanation:

[tex]A=(5+2x)(7+2x)\\ \\ A=4x^2+24x+35[/tex]

Select all the answers !

Answers

Answer:

1,3 and 4

it is what it be

Which expression’s product is modeled by the tiles? A. (x + 1)(x + 3) B. x(x + 3) C. 3(x + 1) D. (3x + 1)(x + 1)

Answers

The product of the expression modeled by the tiles is likely to be (x + 1)(x + 3).

What is expression?

An expression in mathematics is a combination of numbers, variables, and operators that represent a value or a relationship between values. Expressions can be simple or complex, and they can be used to perform mathematical operations or to represent mathematical concepts. For example, the expression 2 + 3 is a simple expression that represents the sum of 2 and 3. The expression x + y is a more complex expression that contains variables, which can take on different values. The expression (x + y)² represents the square of the sum of x and y. In general, an expression can be evaluated to find its value. For example, if we assign the value of 3 to x and the value of 4 to y, then the expression (x + y)²  can be evaluated as (3 + 4)^2 = 7² = 49. Expressions play a fundamental role in mathematics, and they are used in a wide range of mathematical concepts, including algebra, calculus, and geometry.

Here,

This can be deduced from the fact that two tiles with the same x term are placed next to each other and the other two tiles have a constant term.

The product of these two tiles would then be expression (x + 1)(x + 3).

To know more about expression,

https://brainly.com/question/30091997

#SPJ1

There are 3.5 cookies. How can the cookies be divided into .25 pieces?

a. 4 pieces
b. 140 pieces
c. 3.5 pieces
d. 14 pieces

Answers

Answer:

d. 14 pieces

Step-by-step explanation:

3.5 ÷ 25 = 0.14 = 14

cuz the 0. doesn't have a value

The answer is D. 14 pieces.

How do I solve this?

Answers

Look it up hope this helps

Work out the value of Z+XxY
.
.
.
HLEP PLS ​

Answers

Answer:

person is trying to scam named  lotst of them trying to get peoole in this siste caklled cuttly something avoid it please post everywere report do anything u can

Step-by-step explanation:

DON"T DO IT ITS A SCAMER THEY CHANGE THERE NAME EVERYTIME SHOWS BAD THING AND CAN ACSEES UR LOCATION NAD ACCOUNT

cheseedra2020 avatar

POST EVERYWERE STY SAFE!!!

Answer: 2 4/5 +(3/5 x 1/3)

Order of operation 3/5 x 1/3 =3/15

2 4/5 + 3/15 need common denominator

2 12/15 + 3/15 If you multiply 4/5 by 3/3

you get 12/15

12 +3=15.

The denominator stays the same so you get 15/15 or 1 whole and you already have 2 wholes so 2+1= 3 so the answer will be 3

Step-by-step explanation:

is -6/3 and integer? dont guess ;( helppp

Answers

Answer:

no because

Fractions and decimals are not integers. All whole numbers are integers (and all natural numbers are integers), but not all integers are whole numbers or natural numbers. For example, -5 is an integer but not a whole number or a natural number.

-6/3 is not an integer.

What is Number system?

A number system is defined as a system of writing to express numbers.

We need to check whether -6/3 is a integer or not .

An integer is a whole number (not a fractional number) that can be positive, negative, or zero.

The given number is a fraction which is not comes under the integers.

All whole numbers are integers but  but not all integers are whole numbers or natural numbers.

If the fraction is simplified we get -2 which will be an integer but the fraction form is not considered as integer.

Hence, -6/3 is not an integer.

To learn more on Number system click:

https://brainly.com/question/2204604

#SPJ2

HELP!!!!!!!!!!
Write in slope-intercept form an equation of the line that passes through the point (r,p) with slope q.
The equation is y=0

Answers

Answer:

y=qx

Step-by-step explanation:

*Note to think about The Slope Intercept equation is y=mx+b, where m is the slope, b is the y-int, and x,y is an ordered pair on the line.

1. Here the slope is q, and the y-intercept is 0.

2. Now plug in the known variables in for the unkowns

y=qx+0

3. we can take out the zero because anything plus/minus zero is itself, so the answer is:

y=qx

20 points!!!!
What is the slope of a line that is perpendicular to the line that passes through the points (9,0) and (3,7)?

Answers

Answer:

6/7

Step-by-step explanation:

Product of slope of perpendicular line = -1

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]= \frac{7-0}{3-9}\\\\=\frac{7}{-6}\\\\=\frac{-7}{6}[/tex]

Slope of the  perpendicular line = -1/m = -1 ÷ [tex]\frac{-7}{6}[/tex]

                                                     [tex]= -1 * \frac{-6}{7} = \frac{6}{7}[/tex]

Find the value of x.
A 2
B 4.8
C 6
D 6.4

Answers

Answer:

D

Step-by-step explanation:

Δ DCA and Δ ABE are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CA}{BE}[/tex] = [tex]\frac{DA}{AE}[/tex] , substitute values

[tex]\frac{18}{10}[/tex] = [tex]\frac{x+8}{8}[/tex] ( cross- multiply )

10(x + 8) = 144 ( divide both sides by 10 )

x + 8 = 14.4 ( subtract 8 from both sides )

x = 6.4 → D

The value of x is the length of BD, so x = 6.So, The correct answer is C. 6.

The value of x is the length of the altitude from vertex B to side AC. We can find this length by using the Pythagorean Theorem on right triangle ABD.

[tex]AB^2 + BD^2 = AD^2\\8^2 + BD^2 = 10^2\\BD^2 = 36\\BD = 6[/tex]

The altitude from vertex B to side AC is equal to the length of BD, so x = 6.

Here is a breakdown of the steps involved in solving for x:

We are given the lengths of sides AB and AC of triangle ABC.

We know that the altitude from vertex B to side AC will be perpendicular to side AC. We can use the Pythagorean Theorem on right triangle ABD to find the length of BD, which is the altitude from vertex B to side AC.

To know more about triangle:

https://brainly.com/question/2773823

#SPJ2

What are the values of x, y, and z?
help asap

Answers

Answer:

x = 111; y =36; z = 76

Step-by-step explanation:

The sum of the interior angles of a triangle will add up to zero and a line that divides a straight line into to parts will have a sum of angles of 180 degrees. Use this information to add and subtract the angles to find x, y, and z.

X=111 y=76 z=36
These are the answers

helppppppppppppppppppp please

Answers

Answer:

figure it out lol

Step-by-step explanation:

u got oofed

distributive property means multiply outside term by each inside term, so here we multiply everything by 8.

8 x 2a + 8 x (-5b) + 8 x 3

answer: 16a - 40b + 24

The topic is law of cosines and sines and I need help with this

Answers

Answer:

Answer is 2nd one (20.8)

I want to help on this ​

Answers

Answer:

Multiply the sides and you will get the answer. And then divide by 180

Step-by-step explanation:

Other Questions
Our brain accomplishes many things, including perception and sensation at a(an) levelA. feature dependentB. sensoryC. unnecessaryD. unconscious 4. A rectangular field has a length of 115 yards and a diagonal length of 135 yards. Whichmeasurement is closest to the width of the field in yards?F 20 ydG 71 ydH 177 ydJ 250 yd Please help me quick How does the transfer of energy from the Sun to Earth compare with the way energy is distributed in ocean water?Select one:a. Energy from the Sun is transferred through convection, while energy in ocean water is distributed by conduction.b. Energy from the Sun is transferred through radiation, while energy in ocean water is distributed by convection.c. Energy from the Sun is transferred through conduction, while energy in ocean water is distributed by radiation.d. Energy from the Sun is transferred through radiation, while energy in ocean water is distributed by conduction. There are 64 pets in Prodigy.If Chris has caught 50% of them, how many has he caught? Solve For The Missing Variable In Each Figure. Give Exact Values. 5Posesivos Using the subject pronouns in parentheses as a cue, write a possessive adjective foreach sentence.1.profesor de ciencias es muy inteligente. (nosotros)2. La chica japonesa escompaera de clase. (yo)3.hermanos son inteligentes y simpticos. (ella)4. La esposa de Daro eshermana? (t)helpppp What do an earthquake wave and a light wave have in common?A.Both types of waves can travel in a vacuum.B.Both types of waves always have the same amplitudes.C.Both types of waves transmit energy.D.Both types of waves can only be detected using technology. 1. In order to maintain ahigh level ofperformance, what typesof foods do you think anathlete should eat rightbefore a race? Selectone. 2.The energy released incellular respiration helps anathlete perform. How do youthink an athlete might be ableto increase cellularrespiration? What are the coordinates of the center of the circle?A)(2,3)B)(3, 2)C)(8, 12)D)(12,8) What message does the woman in the water bring to Percy? What is her warning?Chapter 14 The Lightning Thief A cookie recipe calls for 3/4 cup of oatmeal . How much oatmeal is needed to make 3 batches of cookies ? The word emotions is :Adjective Adverbial clause Noun phrase Adverd Noun The majority of volcanoes occur in areas that have plate boundaries. True or False Help me find x value please. Why did U.S naval power grow during the 1840s to the 1930s? The feeling of emotional release when conflicts are resolved ASAP!!!!!!!!1PlayTragedyProtagonistComedyDramaMusicalMysteryStage frightAntagonistPathosCharacterSubordinate roleBit roleWalk-on roleCastingCast by typeCast by characterStraight roleCharacter roleCharacterizationExpositionCatharsisMannerismsIntuitionSubstitutionEmotion memoryImprovisationAdaptationCueSteal the sceneCommunicationMonologue Which of the following tribes was NOT part of the "Five Civilized Tribes?"O ShawneeO CherokeeO ChickasawO Seminole I have been in a mad slump recently. and I'm kinda sad but the only thing I consume is glee and just feel numb. hbu? The graph below displays the cost of notebooks. How many notebooks can you purchase for $108.00?