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

Find the solutions to x2 = 18.
O A.
- +32
B. X = +63
O c. X = +376
O D. X = +2/3

Answers

Answer:

what in the math equations is this???

Step-by-step explanation:

Find the missing side in the right triangle. Round to the nearest hundredth.
14
9
х

Answers

Answer:

hope it helps it is donr by using pythogorous theorem

The third side of the right triangle is 10.72 unit.

What is Pythagoras theorem?

Pythagoras' Theorem states that the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides.

Given, the side of right triangle is;

Let H be hypotenuse = 14

And P be perpendicular = 9

Then to find third side base be B,

we use the Pythagoras theorem;

(H)² = (P)²+(B)²

Rearranging,

(B)² = (H)² - (P)²

(B)² = (14)² - (9)²

(B)² = 196 - 81

(B)² = 115

B = 10.72 unit.

Therefore, the third side is 10.72 unit.

To learn more about the Pythagoras theorem;

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What is the equation of a line that passes through (0, 6) and (6, 0)?
a.y = -x
b.y = x - 6
c.y = x + 6
d.y = -x + 6
PLZ HELP IN A TEST

Answers

F0ck me daddy in my ars
oh YEAH RIGHT THERE OOOOOHHHH

The legs of a right triangle are 3 and 6. Find the length of the hypotenuse

Answers

Answer:

6.71 unit

Step-by-step explanation:

Given that:

Legs of a right angle triangle are 3 and 6

From Pythagoras rule;

Hypotenus = sqrt(Adjacent² + opposite²)

Both legs are adjacent and opposite

Hence,

Hypotenus = sqrt(3² + 6²)

Hypotenus = sqrt(9 + 36)

Hypotenus = sqrt(45)

Hypotenus = 6.708

Hypotenus = 6.71

A bag of candies contains 5 red candies, 7 purple candies, and 3 green candies. What is the probability that a candy picked
at random is green?

Answers

Answer:

P(E) = 1/3

Step-by-step explanation:

Given that,

Red candies = 5

Purple candies = 7

Green candies = 3

We need to find the probability that a candy picked  at random is green.

The probability of getting an event is given by :

P(E) = favorable outcomes/total no of outcomes

Probability of getting a green candy,

P(E) = 5/(5+7+3)

P(E) = 5/15

P(E) = 1/3

Hence, the required probability is (1/3).

ASAP!! Find the length of side x in simplest form with a rational denominator

Answers

Answer:

[tex]x=\sqrt{14}[/tex]

Step-by-step explanation:

This triangle is a 45-45-90 triangle.

By using the image I posted, we can find x easily.

So, we have [tex]\sqrt{7}[/tex] as one of the sides.

They hypotenuse, which is x is just [tex]\sqrt{7} \sqrt{2}[/tex]

Simplify and we get x = [tex]\sqrt{14}[/tex]

Compare: 2/3×(9+12)◯15×2/3

Answers

Answer:

[tex]\frac{2}{3}[/tex] (9 + 12) > 15 * [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] (9 + 12) = [tex]\frac{2}{3}[/tex] * 21 = 2 * 7 = 14

15 * [tex]\frac{2}{3}[/tex] = 5 * 2 = 10

14 > 10 ⇒ [tex]\frac{2}{3}[/tex] (9 + 12) > 15 * [tex]\frac{2}{3}[/tex]

Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
A.
slope = -3 and y-intercept = 2
B.
slope = 3 and y-intercept = -2
C.
slope = 3 and y-intercept = 2
D.
slope = -3 and y-intercept = -2

Answers

Answer:

The answer is D slope = -3 y-intercept = -2

Step-by-step explanation:

Answer

D.

Step-by-step explanation:

The first part of the equation is -3 and the second part is -2. The number attached to the variable is the "slope" and the number coming after the variable is the y intercept.

How many ounces are in 13 pounds

Answers

Answer:

There are 208 ounces in 13 pounds :)

Answer:

208 oz

Step-by-step explanation:

1 lb = 16 oz

Where you see 1 lb, substitute it with 16 oz.

13 lb = 13 * 1 lb = 13 * 16 oz = 208 oz

Find the range of the data in the box plot below.
cokies
Number of cookies eaten
by each contestant

Answers

Answer:

20 cookies

Step-by-step explanation:

Range of a data set plotted on a box plot = the maximum value - the minimum value

The maximum value is indicated by the whisker to your extreme right = 25

The minimum value is indicated by the whisker to your extreme left = 5

Range = 25 - 5 = 20

The perimeter of a triangle is 17 inches. One side is 5 inches, and another is 4 inches. What is the length of the third side?

Answers

Answer:

8inches

Step-by-step explanation:

Length of the third side = perimeter - ( side1 + side2 )

                                       = 17 - (5+4)

                                       = 17 - 9

                                       = 8 inches

I need help fast i apericiate it my guy

Answers

Answer: 59

Step-by-step explanation:

Answer:

I think it's letter b.29

2+3=8,
3+7=27,
4+5=32,
5+8=60,
6+7=72,
7+8=??

Solve it

Answers

Answer:

98

2+3=2*[3+(2-1)]=8

3+7=3*[7+(3-1)]=27

4+5=4*[5+(4-1)]=32

5+8=5*[8+(5-1)]=60

6+7=6*[7+(6-1)]=72

therefore

7+8=7*[8+(7-1)]=98

x+y=x[y+(x-1)]=x^2+xy-x

Answer:

2*3 + 3* 7 = 27

4*3 + 5* 4 = 32

....

7*6 + 8*7 = 98

or it could be :

2+3-1 = 5 -1 = 4 *2 = 8

3+7-1 = 10-1 = 9 *3 = 27

4+5-1 = 9-1 = 8 * 4 = 32

5+8-1 = 13-1 = 12 * 5 = 60

6+7-1 = 13-1 = 12 *6 = 72

7+8-1 = 15-1 = 14*7 = 98

Step-by-step explanation:

PLEASE HELP ASAP IM PANICKING :(((
d. Which of the following statements are true?


The opposite of the opposite of the integer in part (a) is the integer.

The opposite of the opposite of a negative integer is a positive integer.

The opposite of the opposite of zero is undefined.

The opposite of the opposite of any integer is the integer.

Answers

Answer:

A

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

You have to spend less than $500 at the mall. Each pair of pants costs $25 and each shirt costs $10. Write an inequality to represent the situation. Let x represent the number of pants you buy and let y represent the number of shirts you buy.

Answers

Answer:

25x+10y<500

Step-by-step explanation:

Answer:

25x+10y<500

Step-by-step explanation:

25 times number of pants purchased plus 10 times number of shirts purchased must be less than 500

I need help simplifying it​

Answers

Answer:

D: 13b^3 - 18b^2 - 7b + 12

Step-by-step explanation:

First expand the brackets by multiplying (10b^2+7b-3) by -1

Then rearrange the terms so you can see where you have to add them together.

Then simplify

You've decided to give your best friend a
bag of marbles for his birthday.
Since you know that your friend likes
green marbles better than red ones, the
bag has twice as many green marbles as
red.
The label on the bag says it contains a
total of 84 marbles.
How many green marbles are in the bag?

Answers

56 green marbles!

Hope this helps!:)

Number of green marbles in the bag is equals to [tex]56.[/tex]

What is number?

" Number is defined as the count of any given quantity as per condition."

According to the question,

Given,

Total number of marbles [tex]= 84[/tex]

[tex]'x'[/tex] represents the number of red marbles

As per given condition,

[tex]'2x'[/tex] represents the number of green marbles

Required equation we have,

[tex]x + 2x = 84\\\\\implies 3x =84\\\\\implies x = \frac{84}{3} \\\\\implies x = 28[/tex]

Substitute the value of [tex]'x'[/tex] to get number of green marbles ,

Number of green marbles [tex]2x = 2\times 28[/tex]

                                                 [tex]= 56[/tex]

Hence, number of green marbles in the bag is equals to [tex]56.[/tex]

Learn more about number here

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A shade of green paint is made by mixing 2 cups of
yellow with 3.5 cups of blue.
Will a mixture that is 3 cups of yellow and 4.5 cups of
blue be more blue, more yellow, or the same shade of
green?
More blue
More yellow
Same shade
Explain your reasoning.

Answers

Answer:

7

Step-by-step explanation:

2×3.7=7 is easy and less money

A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z.

Answers

Answer:

Width  2in

height 3in

length 4in

Step-by-step explanation:

If he want the length to be four he has to take 2 sqares off at the end to be left with his height as 3 so vertical from top to bottom and width (the two sqaures at the end of the photo to the left) would be 2.    :)

Width of box=2in

Height of box=3in

Length of box=6in

Volume=2(3)(6)=36in³

Now

length of the box is 4in

Product of width and height=36/4=9in²

They must be of 3×3 in or 4.5×2 in

A robot's height is 120 centimeters. How tall is the robot in millimeters? Record your answer and fill in the bubbles on your answer document, Be sure to use the correct place value.​

Answers

1,200 millimeters is the correct answer!1 centimeter = 10 millimeters120 x 10 = 1,200Please let me know if I am wrong.

pls help me math its due today​

Answers

Answer:

For multiplication you added the exponents and for division you minus the exponents

Answer:

kdkdjdduidddsisiodiod

As part of a survey, 300 girls were asked to name their favorite sport. The results shows that 12 of
the girls named bowling as their favorite sport. What percentage of the girls in the survey named
bowling as their favorite sport?
A.) 0.04%
B.) 4%
C.) 12%
D.) 25%

Answers

Answer:

D

Step-by-step explanation:

please help if you are good at math :( thank you

Answers

Answer:

your answer will be

A)(6,10)

B)(2,12)

C)(4,4)

Step-by-step explanation:

hope this helps

have a nice day/night ^_^

Tim has a friend, John, across the world he wants to transfer 1000$ to. However, his bank charges a 0.3% fee on the value of every transfer. Tim wants John to receive 1000$ after the fees, which means that Tim needs to send more than 1000$ for him to cover the fees the bank charges. How much should Tim send so that John receives 1000$ in his account after fees?

Answers

Answer:

1003

Step-by-step explanation:

as Tom has to sent amount of money =

1000 (amount of money that john needs) + 0.3%*1000 (fee) = 1000+ 3 = 1003

Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).

Answers

Answer:

[tex]\displaystyle -11[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Interval NotationAverage Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]

Step-by-step explanation:

Step 1: Define

f(x) = -x² - 7x - 8

(1, 3) → a = 1, b = 3

Step 2: Find Average Rate

Substitute in variables [Average Rate of Change]:                                       [tex]\displaystyle \displaystyle \frac{f(3) - f(1)}{3 - 1}[/tex][Change] Substitute in function:                                                                    [tex]\displaystyle \displaystyle \frac{[-(3)^2 - 7(3) - 8] - [-(1)^2 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Evaluate exponents:                                    [tex]\displaystyle \displaystyle \frac{[-9 - 7(3) - 8] - [-1 - 7(1) - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Multiply:                                                        [tex]\displaystyle \displaystyle \frac{[-9 - 21 - 8] - [-1 - 7 - 8]}{3 - 1}[/tex][Change] [Fraction] [Brackets] Subtract:                                                       [tex]\displaystyle \displaystyle \frac{[-38] - [-16]}{2}[/tex][Change] [Fraction] [Distributive Property] Distribute negative:                  [tex]\displaystyle \displaystyle \frac{-38 + 16}{2}[/tex][Change] [Fraction] Add:                                                                                [tex]\displaystyle \displaystyle \frac{-22}{2}[/tex][Change] [Fraction] Divide:                                                                            [tex]\displaystyle -11[/tex]

Answer:

Step-by-step explanation:

-1x^2-7x8

-1x^2-7x+8

-1x+8-7x

+1x +1x

----- ------

X -7x

8 -7x

---- -----

+7 +7

---- -----

15 1x/x

15 1x

---- -----

1 X

X=15

Before you do the actual work you have to study your times table that way it helps you to be fast and it will help you to work good underpressure when it comes to integers.

What you do to one side you do to the other.

jojo makes 100 working eight hours. Trish earned 25 working one hour. How much more money does Trish make than Jojo after 10 hours?

Answers

Answer:

Jojo makes 1000 and Trish makes 250

Step-by-step explanation:

I hope this helped

Answer:

Trish makes $125 more than Jojo after 10 hours

Step-by-step explanation:

$125 jojo

$250 Trish

What is the area of this circle? Use 3.14 for π


Question 7 options:

530.66 cm squared


81.64 cm squared


2122.64 cm squared


849.56 cm squared

Answers

Answer:

530.66 cm squared

Step-by-step Explanation:

Diameter of the circle = 26 cm

Radius of the circle (r) = 26/2 = 13 cm

[tex]A_{circle} = \pi {r}^{2} \\ \\ A_{circle} = 3.14 \times {(13)}^{2} \\ \\ A_{circle} = 3.14 \times 169 \\ \\ A_{circle} =530.66 \: {cm}^{2} [/tex]

Answer:

The area of 530.66 cm squared.

Option (a) 530.66 cm² is the correct answer.

Step-by-step explanation:

Given :

Diameter of circle = 26 cm.

To Find :

Radius of circle Area of circle

Using Formulas :

[tex]\star{\small{\underline{\boxed{\sf{\red{R = \dfrac{D}{2}}}}}}}[/tex]

R = Radius D = Diameter

[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = \pi{r}^{2}}}}}}}[/tex]

π = 3.14 r = radius

Solution :

Finding the radius of circle by substituting the values in the formula :

[tex]{\longrightarrow{\sf{Radius = \dfrac{D}{2}}}}[/tex]

[tex]{\longrightarrow{\sf{Radius = \dfrac{26}{2}}}}[/tex]

[tex]{\longrightarrow{\sf{Radius = \cancel{\dfrac{26}{2}}}}}[/tex]

[tex]{\longrightarrow{\sf{Radius = 13}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{Radius = 13 \: cm}}}}}[/tex]

Hence, the radius of circle is 13 cm.

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

Now, finding the area of circle by substituting the values in the formula :

[tex]{\longrightarrow{\sf{Area_{(Circle)} = \pi{r}^{2}}}}[/tex]

[tex]{\longrightarrow{\sf{Area_{(Circle)} = 3.14 \times {(13)}^{2}}}}[/tex]

[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times {(13 \times 13)}}}}[/tex]

[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 169}}}[/tex]

[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{314 \times 169}{100}}}}[/tex]

[tex]{\longrightarrow{\sf{Area_{(Circle)} = \dfrac{53066}{100}}}}[/tex]

[tex]{\longrightarrow{\sf{Area_{(Circle)} = 530.66}}}[/tex]

[tex]\star{\small{\underline{\boxed{\sf{\red{Area_{(Circle)} = 530.66 \: {cm}^{2}}}}}}}[/tex]

Hence, the area of circle is 530.66 cm².

[tex]\rule{300}{1.5}[/tex]

a box contains 24 balls , some of which are red, some of which are green , and the rest are blue . the probabilities of drawing a red ball and a green ball at random from the box are 1\3 and 1\6 respectively . find the number of blue balls in the bag.​

Answers

Step-by-step explanation:

I think it's 15 but I'm not sure

4/5 - 2/3 =
Find equivalent fractions and rewrite the problem and solve

Answers

Answer:

1001/1500

Step-by-step explanation:

The easiest method for doing this is to just average the two numbers.

e.g. to find a number x between the two numbers ab and cd

x=12[ab+cd]

=12[adbd+bcbd]

=ad+bc2bd

In this case…

x=(2×5)+(3×4)2×2×5=10+1230=2230=1115

You can easily see where that came from.

23=1015 and 45=1215

and the ‘common denominator’ means you just have to pick a value between 10 and 12 . i.e. 11

But you can also say…

23=100150 and 45=120150

and choose any of 101150,102150,...,119150

or

23=10001500 and 45=12001500

and choose any of 10011500,10021500,...,11991500

Answer:4/5 and 2/3 each have a common bottom of 15 so 4/5 is

12/15 and 2/3 will be 10/15

Step-by-step explanation:So than 12/15 forget the bottom don't subtract the bottom just look at it like [12-10] then you got 2 then you go back to the bottom and put it together so your answer is [2/15]

Will the sum of 56+ (-56) be Positive negative or zero

Answers

0 is the answer! U can type it in the calculator

Answer:

zero

Step-by-step explanation:

56+(-56),thus

the negative overcomes the positive,

56-56

0

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