what is the doamin of the function f(x)=x+1/x²-6x+8

Answers

Answer 1

Answer:

Step-by-step explanation:

   (x+1)       = domain = all real #s

(x²-6x-8)⇒ (x-4)(x-2)= x≠ 2,4

Because you can not have a zero in the denominator, x≠2,4

so your domain is (-∞,2)∪(2,4)∪(4,∞)


Related Questions

Please assist. No links

Answers

Answer:

(B) is the answer of your question

Please help me complete this chart. No URLS

Answers

Answer
y-intercept= 10
zeros= -2and4
vertex= (1,12)
Maximum Value
(negative) downward opening
axis of symmetry = x=1

Hope this helps! : )

Find M angle B.
Round to the nearest degree.

Answers

Answer: 41

Step-by-step explanation:

What are the y-intercept and the horizontal asymptote of g(x) = 4x + 3?
(0, 3); y = 4
(0, 4) ; y = 3
(0, 5) ; y = 4
(0, 7) ; y = 3

Answers

Using exponential function concepts, it is found that that the y-intercept and the horizontal asymptote are given by, respectively:

(0, 3); y = 4

What is an exponential function?

It is modeled by:

[tex]y = ab^x + c[/tex].

In which:

a is the initial value.b is the rate of change.y = c is the horizontal asymptote.

In this problem, the equation is:

[tex]y = 4^x + 3[/tex].

Hence the horizontal asymptote is y = 3, and the y-intercept is y when x = 0, hence:

[tex](0,y) = (0, 4^0 + 3) = (0, 4)[/tex]

Which means that the first option is correct.

More can be learned about exponential function concepts at https://brainly.com/question/25537936

Answer:

B. (0, 4) ; y = 3

Step-by-step explanation:

I took the exam for algebra 2

4x^2−24x

that is a 4x to the second power thanks you people are so helpful oh yeah factor it thats it

Answers

Answer:

See below.

Step-by-step explanation:

4x^2-24x

Find the GCF.

4 - 1, 2, 4

24 - 1, 2, 3, 4, 6, 8, 12, 24

The GCF of x^2 and x is x.

The complete GCF is 4x.

4x(x-6)

-hope it helps

Martin drew a scale drawing of an arcade. The scale he used was 1 inch : 3 feet. If the actual length of an air hockey table is 9 feet, how long is the air hockey table in the drawing?

Answers

Answer: 3 inches

Step-by-step explanation: 9 divided by 3 is 3

Help pleaseeeeeeeeeeee

Answers

Answer:

C. 72

Step-by-step explanation:

your are given the adjacent length of 2.4 cm and the hypotenuse of 7.8cm

so we know cos = adjacent/ hypotenuse

so to find the angle of cos you use the inverse of cos^-1(2.4/7.8)

after typing into calculator you should get about 72

Answer:

C

Step-by-step explanation:

cos(0)= Adjacent/Hypotenuse

cos(0)= n/p

cos(0)=2.4/7.8

cos(0)=4/13

(0)=cos‐¹(4/13)

(0)=72.07978686

(0)=72°

angle (0)= 72°

Multiply. Write your answer in simplest form. 2 5/6x2/5

Answers

Answer:

17/15

Step-by-step explanation:

2 5/6 x 2/5

convert 2 5/6 into improper fraction

17/6 x 2/5

cancel out the greatest common factor which would be the 6 and the 2

17/3 x 1/5

multiply straight across

17/15

could also be written as 1 2/15 or 1.13

Which statement is correct?

Answers

Answer:

C because the answer is right

Kris’s mom is putting up a border on the walls of Kris’s room. Her room is 12 feet long and 10 feet wide. How many borders will be needed to go all the way around the room?

42 feet
44 feet
22 feet
120 feet

Answers

= 12 + 10 + 12 + 10

= 2x12 + 2x10

= 24 + 20

= 44 feet of borders

Answer:

its 44

Step-by-step explanation:

add 10+10 then add 12+12

What is a line? What is an angle? How do you describe a line and an angle? How do we know if an angle is right? obtuse? acute? or a full circle?

Answers

Answer:

A line is something that goes on endlessly in both directions. An angle is the number of degrees at a point where two rays meet. We know if an angle is right if there is a right angle that measures up to 90°. An obtuse is any angle that measures over 90° and an acute angle is under 90°. Hope this helps! :)

Step-by-step explanation:

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. what is the complement of mariah choosing three mysteries?

Answers

The probability is the ratio of the favorable event to the total number of events. Then the probability of choosing three mysteries books is 0.877%.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The total number of books will be

Total books = 5 + 7 + 8

Total books = 20

The total number of the event will be

[tex]\rm Total \ event = \ ^{20}C_3 \\\\\\Total \ event = \dfrac{20!}{(20-3)!3!}\\\\\\Total \ event = 1140[/tex]

The favorable event will be

[tex]\rm Favorable \ event = \ ^{5}C_3 \\\\\\Favorable \ event = \dfrac{5!}{(5-3)!3!}\\\\\\Favorable \ event = 10[/tex]

The probability of choosing three mysteries books will be

[tex]\rm P = \dfrac{10}{1140}\\\\\\P = 0.00877 \ or \ 0.877\%[/tex]

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

D

Step-by-step explanation:

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels. What is the complement of Mariah choosing three mysteries?

not choosing a mystery

choosing at least one mystery

choosing three mysteries

not choosing all mysteries

D is the right answer

Element X decays radioactively with a half life of 8 minutes. If there are 170
a
grams of Element X, how long, to the nearest tenth of a minute, would it take
the element to decay to 5 grams?
y = a(.5)

Answers

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams.

How to analyze a radioactive decay case

Let suppose that element X experiments a simple radioactive decay, that is, that the element X becomes gradually into another less radioactive stable element in time.

We know that decay behaves exponentially and follows this model:

[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex]   (1)

Where:

[tex]m_{o}[/tex] - Initial mass, in gramst - Time, in minutesτ - Time constant, in minutesm(t) - Current mass, in grams

The time constant can be described in terms of half-life ([tex]t_{1/2}[/tex]), in minutes, through the following expression:

[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex]   (2)

If we know that [tex]t_{1/2} = 8\,min[/tex], [tex]m_{o} = 170\,g[/tex] and [tex]m(t) = 5\,g[/tex], then the time needed for the decay is:

τ ≈ 11.541 min

[tex]t = -\tau \cdot \ln \frac{m(t)}{m_{o}}[/tex]

t ≈ 40.698 min

A time of 40.7 minutes is taken for 170 grams of element X to decay to 5 grams. [tex]\blacksquare[/tex]

To learn more on radioactive decay, we kindly invite to check this verified question: https://brainly.com/question/27156663

what is the slope between (8, -2) and (-7, 10)?

Answers

Answer:

-1/15 is the slope

Use the y2-y1/x2-x1 formula and plug in the variables

M = -1/15 is the slope between the two points

what are the x- intercepts of the graph that represents y=(x+1)(x+5)

Answers

Answer:

x= -1 and x= -5

Explanation

y=(x+1)(x+5)

set both equations equal to 0

x+1=0 and x+5=0

subtract each constant from the appropriate  side

x= -1             x=-5

PLEASE HELP ME QUICK !!

Answers

Answer:

9.138

10.28

11.26

12.55

ANSWER :

9.) 138

10.)28

11.)26

12.)55

HOPE IT HELPS

# CARY ON LEARNING

HELP ME PLEASE! 20 POINTS!!!


In terms of π, what is the volume of the sphere? Refer to your STAAR 8th Grade Math Reference Sheet for the appropriate formula.
Question 6 options:

360π cubic feet


1800π cubic feet


27000π cubic feet


36000π cubic feet

Answers

Answer:

is in the shape of a sphere

diameter = 60 feet

radius = r = 60/2 = 30 feet

Step-by-step explanation:

volume of sphere = 4/3 × π × r³

= 4/3 × π × 30³

=4/3π × 27,000

= 36000π cubic feet

Answer:

36000π cubic feet

Step-by-step explanation:

Given :

Diameter of sphere = 60 feet

Solving :

Volume = 4/3πr³But 2r = d or r = d/2Therefore, volume is :⇒ 4/3π(d/2)³⇒ 4/24πd³⇒ 1/6πd³⇒ 1/6 x 60 x 60 x 60 x π⇒ 10 x 3600π⇒ 36000π cubic feet

solve . x -13 < -11

A.
x <-2

B.
x < 2

C.
x > 24

D.
x > -24

Answers

x - 13 < - 11

x < - 11 + 13

x < 2

the dimensions of a rectangular dining room are 18 feet by 16 feet long if a scale factor 1/4 is used to make a scale model of the dining room what is the area of the dining room in the scale model.​

Answers

calculate the sides of the rectangle in scale factor model

Length: 18 * 1/4 = 4.5 feet

Width: 16 * 1/4 = 4 feet

Rectangle area in scale factor model:

Length * Width

4.5 * 4

18 feet²

Answer:

Given dimensions of a rectangular dining table:

width = 18 ftlength = 16 ft

If a scale factor of [tex]\dfrac14[/tex] is used, then we need to multiply each measurement by [tex]\dfrac14[/tex]:

[tex]\implies \textsf{width}=18 \times \dfrac14[/tex]

                [tex]=4.5 \textsf{ units}[/tex]

[tex]\implies \textsf{length}=16 \times \dfrac14[/tex]

                 [tex]=4 \textsf{ units}[/tex]

Therefore, the scale model of the dining room will be 4.5 by 4 units.

Three playing cards in a row. Can you name them with these clues? There is a two to the right of a king. A diamond will be found to the left of a spade. An ace is to the left of a heart. A heart is to the left of a spade. Now, identify all three cards.

Answers

Answer:

Ace of Diamonds, King of Hearts, Two of Spades ( hope this helps)

What is the solution to y=-2x+7 and y=5x-7

Answers

Answer:

x-2,y= 3, it can also be written as (2 ,3)

Step-by-step explanation:

2x-7y=5x-7-2x-7=5x-75x+2x=

7+77x=14x=2y=5x-7=5*2-7=10-..

Someone help with this i beg!

Answers

hello!

[tex]==================================[/tex]

the rule for the first sequence is "add 1"

so we add 1 in order to get to the next term.

the rule for the next sequence is "add 5"

here, we add 5 in order to get to the next term.

the rule for the next sequence is "subtract 2"

in this sequence, we subtract 2 every time.

the rule for the next sequence is "add 7"

so we add 7 (13+7 does equal 20):)

the rule for the fifth sequence is "multiply by 2"

so this is a geometric sequence, because we use multiplication in order to get to the next term.

the rule for the sixth sequence is "subtract 6"

- we subtract 6 each time :)

the rule for the 7th sequence is "add 2"

the rule for the 8th sequence is "subtract 3"

the rule for the 9th sequence is "multiply by 7"

[tex]\rule{200}{2}~\rule{100}{2}[/tex]

Let's write down the next 2 terms for each sequence.

(the terms are highlighted in bold)

1, 2, 3, 4, 5, 6, 7, 8, 9, 10

4, 9, 14, 19, 24, 29, 34, 39

32, 30, 28, 26, 24, 22, 20, 18

6, 13, 20, 27, 34, 41, 48, 55

3, 6, 12, 24, 48, 96, 192, 384

36, 30, 24, 18, 12, 6, 0, -6

-13, -11, -9, -7, -5, -3, -1

48, 45, 42, 39, 36, 33, 30

1, 7, 49, 343, 2401, 16807, 117649

[tex]\rule{200}{2}[/tex]

note:-Hope everything is clear; if you need any more explanation, kindly ask me; I will comment and/or edit my answer.

Gerard has 365 baseball cards he puts as many of them into piles of 100 how many piles of 100 does he make

Answers

Answer would be 3. 365 / 100 = 3.65, however this is reality math and you cannot have fractional piles. Therefore, 3.

Determine if S could lie on the perpendicular bisector of QR with the given coordinates
Q(-5 , 4), R(8 ,3) , S(-2,-5)

Answers

Step-by-step explanation:

The distance between two points, and is given by:

The endpoints are: Q(-5, -1), R(3, 7)

Point S is (4,-2).

The distance of S to Q is:

The distance of S to R is:

A plane travels a distance of 3,300 miles at a rate of 550 mph. How long will it take
the plane to reach its destination?

Answers

Answer:

6 hours

Step-by-step explanation:

Divide 3300 by 550, so it's 6.

thankyou for the help

Answers

Answer:

d because a straight line has the angle of 180

i only need help finding the radius that’s all thanks

Answers

Answer:

3

Step-by-step explanation:

from the center to the edge of circle, just counts 3

is 0.7070707070 is an irrational number.

Answers

Answer:

No

Step-by-step explanation:

numbers with decimals that terminate or repeat are not irrational. they are rational.

Numbers with decimals or determine it to be internal so the answer is no

what is 62.28 dived by 0.72 step buy step

Answers

Answer:

62.28divided by 0.75 = 83.04

Step-by-step explanation:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Guys can you help me with this please​

Answers

Answer:

AC=18.1cm

Step-by-step explanation:

When we subtract 11-4=7cm  we get one cathetus of the right triangle a=7cm also we know hypotenuse which is c=16cm.

We will use Pythagorean theorem to find the second cathetus b

b=√16∧2-7∧2= √256-49= √207 ≈ 14.39cm =DC =>

AC =√(DC)∧2+(AD)∧2= √14.39∧2+11∧2= √207+121= √328= 18.1cm

AC=18.1cm

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