Simplify completely and find the restrictions on the variable.​

Simplify Completely And Find The Restrictions On The Variable.

Answers

Answer 1

Answer:

[tex]\displaystyle \frac{8}{x - 11}, x \neq 2, 11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsFactoring

Algebra II

DiscontinuitiesDomain Restrictions

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{8x - 16}{x^2 - 13x + 22}[/tex]

Step 2: Simplify

[Fraction] Factor numerator:                                                                          [tex]\displaystyle \frac{8(x - 2)}{x^2 - 13x + 22}[/tex][Fraction] Factor denominator:                                                                       [tex]\displaystyle \frac{8(x - 2)}{(x - 11)(x - 2)}[/tex][Fraction] Divide:                                                                                            [tex]\displaystyle \frac{8}{x - 11}[/tex]

We know that x cannot equal 11, because that would give us a divide by 0 error and we know that x cannot equal 2 because it was canceled out when simplifying.


Related Questions

Please help due tonight will give good review and brainliest!

Answers

Answer:

True

Not true

true

True

Step-by-step explanation:

What is the solution to this inequality?
7x+18>−3

A. x < 3 ​
B. x > 3 ​
C. x < −3 ​ ​
D. x > −3

Answers

Answer:

the answer is D

Step-by-step explanation:

Answer:

[tex] \huge \boxed{ \boxed{\mathbb{D)}x > - 3}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:inequalityPEMDASgiven:7x+18>-3to solvexlet's solve:substract 18 from both sides: 7x+18-18>-3-18=>7x>-21since we are dividing -21 by positive 7 therefore the inequality won't change 7x/7>-21/7=>x>-3

A pastry bag full of frosting forms a cone with the dimensions shown. Find the volume of frosting in the pastry bag.

Answers

Answer:

kajhfsdbbcbb,bnmcxbvljhhjw eutiugvawgygewfcufbuicmauigpuygpvghsfBgeilvlhkdb;bwgvPWIHITVNUAHUEIGEOYUGE8GPUWIEHOIgorucrugc t rueagurwWUGHCRWGCugpgpuyGPGCPGUGGUyguUYFUYGUOYUOYGOUYGOFUGIcefgyxsnjdfryugvouscbaknqpiuvhrwklemfnvvvvvvvr4uhui4jqkwserupwehdnjqhbgiwebduudirbgdqfwaiqjnweisdkrfmtguiwdnnnnnnnnnnnnnnerijjjjjjj

Step-by-step explanation:

you are a beginner cyclist, so you typically ride at a speed of 12 miles per hour. your friend who has more experience and training with cycling rides at a speed of 16 miles per hour. one day you two decide to race, but because you are less experienced, your friend tells you that they will give you a three minute head start on the race.
how far can you ride before your friend catches up to you? write the system for this problem.

Answers

Answer:

Answer given below

Step-by-step explanation:

36, 48, 60....

16, 32, 48...

48 common in both.

Both will meet at 48 miles

So answer is 48 miles

Please help ASAP. Thanks so much.

Answers

Answer:

B. 3

Step-by-step explanation:

To find the value of c, substitute the x and y values of the given point into x and y of the equation, then isolate c. Since that given point is (2,5), substitute 2 for x and 5 for y:

[tex](5) = -2(2)^2+8(2)-c\\5 = -2(4)+16-c\\5 = -8 + 16 - c \\5 = 8 -c\\-3 = -c\\c = 3[/tex]

Thus, c = 3.

PLZ HELP
Find h
H
(6x - 1)
125
F G
(5x + 16)

Answers

Answer:

H

(6x - 1)

125

F G

(5x + 16)

Step-by-step explanation:

PLEASE HELP ME YOU DON'T HAVE TO SHOW UR WORK I JUST NEED THE ANSWER

Answers

Answer:

it would be C.

Step-by-step explanation:

if you add -12.8 and 17.3 you would get 4.5 as you answer.

Help asap, I will give brainliest.

Answers

Answer:

-3 ?? i think this is correct

Step-by-step explanation:

i did 3x-1

What is the value of y? y = Find the following angle measures. mAngleJKM = ° mAngleMKL = °

And are we all struggling in geometry and super stressed out and behind or is it just me

Answers

Answer:

What is the value of y?

y = ✔ 10

mAngleJKM = ✔ 106°

mAngleMKL =  ✔ 74°

Step-by-step explanation:

Answer:

1: 10  2: 106  3: 74

Step-by-step explanation:

What is the solution of x = 2 + StartRoot x minus 2 EndRoot?

Answers

Answer:

x= 2 or x=3

Step-by-step explanation:

Both satisfy the equation. I hope this helped.

Answer:

x=2 or x=3

Step-by-step explanation:

just took the test it is C

Nabil Francisco's tips from working at the hair salon were $4.50, $2.00, $3.50, $5,$8.00, and $4.50. What was his average tip?​

Answers

Answer:

$4.58

Step-by-step explanation:

Add all of your numbers up.

$27.50

Divide by 6

4.58 is the average.

i hope this helps, good luck :)

A stack of 700 pieces of paper is 10.5 inches tall. How thick is one single piece of paper?

Answers

Answer:

0.381mm or 0.015in

Step-by-step explanation:

no. of papers in the stack-700

total length of stack-10.5in

thickness of single piece of paper= 10.5/700= 0.015in=0.381mm

5. 16^0 = * please i need help and i need the answer today not trying to rush but please thanx

Answers

Answer: 1

Step-by-step explanation:

16⁰ = 1

Anything to the power of zero is 1.

An automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. Step 2 of 2 : Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars. Using the data, construct the 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars. Round your answers to three decimal places.

Answers

Answer:

The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Suppose a sample of 768 new car buyers is drawn. Of those sampled, 192 preferred foreign over domestic cars.

This means that [tex]n = 768, \pi = \frac{192}{768} = 0.25[/tex]

80% confidence level

So [tex]\alpha = 0.2[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.2}{2} = 0.95[/tex], so [tex]Z = 1.28[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.25 - 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.23[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} =  0.25 + 1.28\sqrt{\frac{0.25*0.75}{768}} = 0.27[/tex]

The 80% confidence interval for the population proportion of new car buyers who prefer foreign cars over domestic cars is (0.23, 0.27).

A survey asked respondents whether they prefer grape or orange soda, and whether they prefer soda with sugar or sweetener. The results of the survey are shown in the two-way frequency table. Grape soda Orange soda Sugar 0.36 0.42 Sweetener 0.13 0.09 What percent of the respondents prefer orange soda? Enter your answer in the box. %

Answers

Answer:

what it is language

Step-by-step explanation:

Answer:

51%

Step-by-step explanation:

the answer is the answer because it's the answer (ФДФ)

The TSA Is using an experimental computer to randomly select airline passengers for additional screening. Each person has a 0.7% chance of being selected. They test the new computer until 10 passengers are chosen for the additional screening, and then they remove it. Let the random variable be the number of passengers who pass through security until 10 are stopped for additional screening.
Is the number of passengers who pass through security in this time a binomial random variable?
Select all that apply
A. Yes. All four conditions are met.
B. No. There is not a fixed number of trials
C. No. The trials cannot reasonably be assumed to be independent.
D. No. The outcomes cannot be described as only "success" and-failure."
E. No. The probability of success is not the same for each trial

Answers

Answer:

B. No. There is not a fixed number of trials

Step-by-step explanation:

Binomial random variable:

Can only have two outcomes(yes/no questions).

Each trial must be independent, that is, the probability of a success is always the same in a trial, and the number of trials is fixed.

It's probabilities must be between 0 and 1.

Is the number of passengers who pass through security in this time a binomial random variable?

For each person, there are only two possible outcomes. Either they are screened, or not. However, we don't want to know the number of people screened, which is binomial, we want to know the number of people until 10 are screened, which is inverse binomial. So, since there is not a fixed number of trials, this is not binomial, and the answer is given by option B.

PLEASE HELP! According to Mediamark Research, Inc. 86% of all U.S. households in 2007 owned at least one cellular phone. In a
simple random sample of 300 households, what is the standard deviation of households that own at least one cellular
phone? Round to the nearest tenth.

Answers

Answer:

260

Step-by-step explanation:

The graph of Fx), shown below, has the same shape as the graph of
G(x) = x, but it is shifted up 1 unit. What is its equation?
5+
F(x) =

Answers

Step-by-step explanation:

step 1. shifting f(x) up by one simply adds 1 to f(x).

step 2. if g(x) = x^2 then f(x) = x^2 + 1.

The equation of the function f(x) is f(x) = x²+1

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 is a function g(x) = x², and a function f(x) which have the same graph as the function g(x) = x², but it is shifted up 1 unit, we need to find the equation of the function f(x),

we are given that, it is shifted up 1 unit, that mean it has horizontal shift,

Rule for horizontal shift =

k(x) = k(x) + a [for upwards]

So, horizontal shift of 1 = g(x)+1

Therefore, f(x) = g(x)+1

or, f(x) = x²+1

Hence, the equation of the function f(x) is f(x) = x²+1

Learn more about functions, click;

https://brainly.com/question/12431044

#SPJ7

Complete the table to show an equivalent ratio where the total amount is 100 grams.

Answers

Answer:32

Step-by-step explanation:

i did it, just multiply by 4

The percent of 32% of her daily amount of fiber, she has at breakfast.

What is ratio?

The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

Keesha keeps track of the fiber she eats to make sure she gets enough each day.

Her breakfast contains 8 grams of fiber, and her recommended daily amount is 25 grams per day.

Keesha wants to know what percent of her daily amount of fiber she has at breakfast.

The table to show an equivalent ratio where the total amount is 100 grams.

Let n be the required value.

That means,

8/25 = n/100

n = 800/25

n = 32

Therefore, her daily amount of fiber is 32%.

To learn more about the ratio;

https://brainly.com/question/13419413

#SPJ2

3. The radius of a basketball is approximately 12.1cm. What is the volume of the basketball

A 7359 cm3
B 1840 cm
C. 7421 cm
D. 22 262 cm​

Answers

I am thinking C might not be c

The volume of a perfect ball is [tex]V=\frac{4\pi r^3}{3}[/tex].

In your case

[tex]V=\frac{4\pi 12.1^3}{3}=7420.7\approx7421\mathrm{cm^3}[/tex]

Hope this helps.

the equation y= 40x models the relationships between the indian rupee (y) and the us dollar(x).

Answers

Answer:.

Step-by-step explanation:

find the value of X.20,40,x

Answers

Step-by-step explanation:

267:(;»«=:3688865)):;(645789

Find all the zeros of the equation.
-x^3-x^2=11x+11

Answers

Answer:

x= -1 , i(sqrt11) , -i(sqrt11)

Step-by-step explanation:

subtract 11x from both sides

-x^3 - x^2 - 11x = 11

subtract 11 from both sides

-x^3 - x^2 - 11x - 11 = 0

Factor the left side of the equation

- (x - 1)(x^2 + 11) = 0

Set both factors to zero and solve for x

x + 1 = 0 x^2 + 11 = 0

-1 -11

x^2 = -11

x = -1 x = +/- i(sqrt11)

A line includes the points (–8, –2) and (–4, –3). What is its equation in slope-intercept form?

Answers

Answer:

y=mx+b

Step-by-step explanation:

m=slope

b=y-intersept

in fractions we have to multiply 25 to get a hundred what do we do ​

Answers

Answer:

muliply 25 by 4

Step-by-step explanation:

25×4 =100

Answer:

*4

X 4

times it by 4

Step by step explanation:

25 + 25 + 25 + 25 = 100

therefore you added 25 four times so your answer is X by 4

15 in.
12 in.
Bh
A formula for the volume of a pyramid is V = 3 . which expression can be used to find V, the
volume of the pyramid, in cubic inches?

Answers

I have to watch the videos for the one

Answer:

720 would be your answer

Step-by-step explanation:

101 is 11% of what?

Answers

Answer:

11.11

Step-by-step explanation:

Answer:

918.18

Step-by-step explanation:Formula = Number x 100

Percent = 101 x 100

11 = 918.18

Following shows the steps on how to derive this formula

Step 1: If 11% of a number is 101, then what is 100% of that number? Setup the equation.

101

11% = Y

100%

Step 2: Solve for Y

Using cross multiplication of two fractions, we get

11Y = 101 x 100

11Y = 10100

Y = 10100

100 = 918.18

Item 4
An account earns simple interest.

$925 at 2% for 2.4 years

a. Find the interest earned.

$

b. Find the balance of the account.

$

Answers

Answer:

24

Step-by-step explanation:

Megan earns $8 per hour babysitting write and solve an inequality that can be used to find how many hours she must work in a week to earn at least $120 interpret the solution

Answers

8x >/= 120
x >/= 15
She must work 15 hours or more to earn at least $120

Factor the following trinomial: x2 + 8x + 15.

Answers

Answer:

(x + 3) (x + 5)

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