Find the LCD of the given rational equation:

Find The LCD Of The Given Rational Equation:

Answers

Answer 1

Answer:

The correct answer is: D

Step-by-step explanation:

Consider the domain, which in this case x cannot be equal to -4 and -2.

Answer 2

The LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

How to determine the LCD?

The rational equation is given as:

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{x^2 + 2x - 8}[/tex]

Factorize the denominator of the fraction on the right hand side

[tex]\frac{x}{x + 4} + \frac{x - 1}{x + 2} = \frac{3}{(x - 2)(x + 4)}[/tex]

Write out the common factors in the denominator

LCD = (x + 4)(x + 2)(x - 2)

Hence, the LCD of the rational equation is (a) (x + 4)(x + 2)(x - 2)

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Related Questions

Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver's distance for the

same section of the trip is displayed below.

Who had a head start, and how many miles was the head start?

Rita's Drive

y

(4, 288)

280-

Roger's Drive

240

Time (hr)

Distance (mi)

(3,223)

200-

1

65

160-

• (2, 158)

2

130

Distance (mi)

120-

3

195

(1,93)

80-

4.

260

40-

0

0

Time (hr)

Who Had the head start?

Answers

Answer:

hello your question is poorly written and the required options to the question is missing

options :  

Rita had a 28-mile head start.

Roger had a 26-mile head start.

Roger had a 25-mile head start.

Rita had a 22-mile head start.

Answer : Rita had a 28-mile head start

Step-by-step explanation:

From the information given about the distance each driver has for the same section of the trip it can be conclude that Rita has a head start and this head start is by 28 miles

Answer:

a

Step-by-step explanation:

edge 2021

find the lengths of the missing side . Simplify all radicals !!!
help mee!!!!!!

Answers

Answer:

[tex] e = 13\sqrt{2} [/tex]

[tex] f = 13\sqrt{2} [/tex]

Step-by-step explanation:

The ∆ given is an isosceles ∆ with a right angle measuring 90°, and two congruent angles measuring 45° each.

Using trigonometric ratio formula, we can find the lengths of the missing side as shown below:

Finding e:

[tex] sin(\theta) = \frac{opp}{hyp} [/tex]

[tex] sin(\theta) = sin(45) = \frac{\sqrt{2}}{2} [/tex]

hyp = 26

opp = e = ?

Plug in the values into the formula

[tex] \frac{\sqrt{2}}{2} = \frac{e}{26} [/tex]

Multiply both sides by 26

[tex] \frac{\sqrt{2}}{2}*26 = \frac{e}{26}*26 [/tex]

[tex] \frac{\sqrt{2}}{2}*26 = e [/tex]

[tex] \frac{\sqrt{2}}{1}*13 = e [/tex]

[tex] 13\sqrt{2} = e [/tex]

[tex] e = 13\sqrt{2} [/tex]

Since side e is of the same length with side f, therefore, the length of side f = [tex] 13\sqrt{2} [/tex]

I need help ASAP
what is the principal if the interest earned is $22 the simple annual interest rate is 2% and the time is one year​

Answers

Answer:

1,100

Step-by-step explanation:Well first find the principal first Multiply the rate 0.02 by the time 1 year this gives us 0.02 then divide the interest ($22) by 0.02 then you get $1,100

Answer:

not 1,100 its 1100

Step-by-step explanation:

3(2x + 1) – (4x + 2)
How do i siplify this

Answers

Answer:

= 2x + 1

Step-by-step explanation:

Answer: 2x+1
Explanation:
Step 1. Distribute
Distribute the 3 to 2x+1 and the negative sign to 4x+2. You will get 6x+3-4x-2
Step 2. Combine like terms
Subtract 6x-4x and subtract 3-2.
You will get 2x+1 as your final answer.
If this helped please mark me as brainliest!!<3

I need help and I don’t know what to do! What is 6x+y=17?

Answers

Answer:

6×+y-17=0 it is the correct answer and hope this help for you

Write all prime numbers between 10 and 20​

Answers

Answer:

11,13,17,19

Step-by-step explanation:

Answer:

11 , 13 , 17 and 19

Step-by-step explanation:

good luck :)

A certain brand of MP3 player will display how long it will take to play through its entire music library.If the maximum number of songs the MP3 players can hold is 1,000 (and the average song length is 4 minutes), would you want the time displayed in terms of seconds, days, or years worth of music?

Answers

Answer:

I think that days is the most reasonable, sorry if I'm wrong

Step-by-step explanation:

So if you had 1,000 songs and each was 4 minutes, the amount of minutes would be 4*1000 minutes, or 4000 minutes.

4000 minutes = 240000 seconds

4000 minutes = 2.77777... days

4000 minutes = 0.007610350684932... years

What is 4 1/4 ÷ 4 1/2

Answers

Answer:

Your answer is going to be 17/18.

Step-by-step explanation:

You are going to put the fractions in improper form, giving you 17/4 and 9/2. Then you are going to use the saying KCF Keep Change Flip.

(17/4)(2/9)

34/36

17/18

Harold balance in his savings account was $10,000. The savings account earns annual simple interest. At the end of 3 yeah, the balance of the account was $11,875. If Harold did not make additional deposits or withdrawals, what was the approximate annual interest rate on the savings account?​

Answers

Answer:

In the simplest of words, $1,000 at 1% interest per year would yield $1,010 at the end of the year. But that is simple interest, paid only on the principal. Money in savings accounts will earn compound interest, where the interest is calculated based on the principal and all accumulated interest.

Step-by-step explanation:


Jeannine puts 10% of her paycheck into a savings account. If she makes $500 each week,
how much does she put in her savings account each week?

Answers

Answer:

$50

Step-by-step explanation:

divide 500 by 10, which is 50 so $50

the school library had a used book sale. paperbacks were $2 each and hardcover books were $3 each. there were 54 paperbacks and 163 hardcover books sold.

Please help me, I have no idea how to do this we need to use BEDMAS to solve this. Can anyone help?

Answers

Answer:

Total money made is $597, $489 from hardbacks and $108 from paperbacks.

Step-by-step explanation:

$3 x 163= $489

$2 x 54= $108

total $= 3(163)+2(54)

total $= 489 + 108

total $ = 597

One number exceeds another by 1. The sum of the numbers is 23. What are the numbers?

Answers

Answer:

the numbers are 11 and 12

Step-by-step explanation:

PLASE ANSWER THIS!! MARKING BRAINLEIST

Answers

1. 59049

2. a^12

3. 8a^6

4. 16a^ 10 b^6

5. 9a^4

6. s^6 t^12

7.  s^5 / t^5

8. 6561

9.  s^2 t^8 / r^2

10.  81a^2 b^6

potatoes - Samples: Assume the weights of Farmer Carl's potatoes are normally distributed with a mean of 8.0 ounces and a standard deviation of 1.1 ounces. He bags his potatoes in groups of 6. You buy a bag and the total weight is 42 ounces. Here we determine how lucky or unlucky you are. (a) What is the mean potato weight in your bag of 6

Answers

24 because 42 \ 6 is 24

Natalie was given a box of assorted chocolates for her birthday. Each night, Natalie treats herself to some chocolates. Let C represent the number of chocolates remaining in the box t days after Natalie's birthday. A graph of C is shown below. Write an equation for C then state the slope of the graph and determine its interpretation in the context of the problem.
PLEASE HELP ME I NEED THE ANSWER NOW

Answers

Answer:

C= -5t+30

The slope of the function is -5 which reveals the number of chocolates Natalie eats each night.

Step-by-step explanation:

If the independent variable becomes very large what would be the expected change in the dependent variable

Answers

Answer: The independent variable is the variable the experimenter changes or controls and is assumed to have a direct effect on the dependent variable. ... The dependent variable is the variable being tested and measured in an experiment, and is 'dependent' on the independent variable.

Step-by-step explanation:

ou are at the county fair and play a game that involves throwing a baseball at target. You get 3 baseballs, and you win a prize for each target you hit. Your chance of hitting a target with a baseball is 0.74. Assuming each throw is independent of all the others, what is the probability you win at least 1 prize

Answers

Answer:

0.98

Step-by-step explanation:

Prob (Ball target & prize ) = 0.74

Prob (Ball no target & no prize) = 1 - 0.74 = 0.26

Three Balls : Prob (atleast 1 prize) = 1 - Prob (No ball target & no price)

= 1 - (0.26)^3

= 1 - 0.017576

= 0.982424

What is (7x1)+(4x1/10)+(6x1/1000) written as a decimal in standard form?

Answers

Answer:

7.406

Step-by-step explanation:

It is 7.406 because 7x1 is 7, 4/10 is 0.4, and 6/1000 is 0.006. If you add those together, you will get 7.406.

7.406 is the decimal form

What is decimal in numeral system ?

The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation. A formal way to read decimals is to read the whole part as a whole number, then the decimal dot as “and” and then reading the fractional part altogether but using the place value of the last digit with it.

= (7x1)+(4x1/10)+(6x1/1000)

= 7 + 0.4 + 0.006

= 7.406

therefore , the decimal form of the expression is 7.406

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Factorise fully
6x - 8​

Answers

Answer:

2(3x+ 4)

I hope it helps

Pls mark as brainliest

Which of the following in NOT an equation of a line parallel to the line with equation y=1/2x-6 *

y = 2/4x + 6
y = 0.5x - 3
y = 1/2x + 1
y = 2x - 4

Answers

9514 1404 393

Answer:

  y = 2x - 4

Step-by-step explanation:

You want an equation with an x-coefficient that is not 1/2.

  2/4 = 0.5 = 1/2

so, the first three answer choices don't meet problem requirements.

The line with equation ...

  y = 2x -4

is not parallel to y = 1/2x -6.

N+2=-14-n 46 POINTS WORK SHOWN

Answers

Answer:

woah that seems too complicated for my 9th grade brain

Step-by-step explanation:

n+2=−14−n

Move all terms containing n to the left side of the equation.

2n+2=−14

Move all terms not containing n to the right side of the equation.

2n=−16

Divide each term by 2 and simplify.

So the answer is: n=−8

an inspector tested the first 125 radios that came off the production line today and found only 60% acceptable. After the inspector tested 25 more radios, the overall percentage of acceptable radios rose to 62%. The number of these 25 radios that were rejected is???

Answers

Answer: 7 radios

Step-by-step explanation:

The following can be deduced from the question:

Number of radios tested = 125 radios

Percentage acceptable = 60%

Numbers acceptable:

= 60% × 125

= 0.6 × 125

= 75 radios

Numbers rejected = 125 - 75 = 50 radio

We are further told that the inspector tested 25 more radios, this will be:

Number of radios tested

= 125 + 25 = 150 radios

Percentage acceptable = 62%

Numbers acceptable

= 62% × 150

= 0.62 × 150

= 93 radios

Numbers rejected= 150 - 93 = 57 radios

The number of these 25 radios that were rejected will be:

= 57 - 50

= 7 radios

Find the x-intercept in the function: 3x-2y =6

Answers

Answer:

x=(2,0)

Step-by-step explanation:

3x-2y=6

3x-2(0)=6

3x=6

x=2

I am actually dumb just help me please

Answers

Answer:probably about 50 years

Step-by-step explanation:did for my family’s live oak

A figure is made up of four congruent right triangles and a square as displayed.

What is the area, in square inches, of the figure?

Answers

Answer:

It would be 33² in.

2. Choose all numbers that are RATIONAL. *
1. 0
2. 5/7
3. 3.6820350285........
4. -10​

Answers

Answer:

0, 5/7, and -10 are RATIONAL numbers ⇒ 1, 2, 4

Step-by-step explanation:

Rational number are the numbers can be written in the form of the fraction [tex]\frac{a}{b}[/tex] , b ≠ 0

Example:

5, -3, 5.2 , -10.567, [tex]2\frac{1}{3}[/tex] , [tex]\sqrt{64}[/tex] , [tex]-\sqrt{\frac{25}{4}}[/tex] , [tex]\frac{\sqrt[3]{8}}{5}[/tex] , .......5 can be written as [tex]\frac{5}{1}[/tex]-3 can be written as [tex]-\frac{3}{1}[/tex]5.2 can be written as [tex]\frac{52}{10}[/tex]-10.567 can be written as [tex]-\frac{10567}{1000}[/tex][tex]2\frac{1}{3}[/tex]  can be written as [tex]\frac{7}{3}[/tex][tex]\sqrt{64}[/tex] can be written as [tex]\frac{8}{1}[/tex][tex]-\sqrt{\frac{25}{4}}[/tex] can be written as [tex]-\frac{5}{2}[/tex] [tex]\frac{\sqrt[3]{8}}{5}[/tex] can be written as [tex]\frac{2}{5}[/tex]

All the numbers above are rational numbers

Let us find the rational numbers in our question

∵ 0 can be written as [tex]\frac{0}{1}[/tex]

0 is a rational number

∵ [tex]\frac{5}{7}[/tex] is a fraction

[tex]\frac{5}{7}[/tex] is a rational number

∵ 3.6820350285........ can not be written in the form of the fraction

   because we do not know its end (it is an approximated number)

∴ 3.6820350285........ is not a rational number

∵ -10 can be written as [tex]-\frac{10}{1}[/tex]

-10 is a rational number

0, 5/7, and -10 are RATIONAL numbers

Please help thank you

Answers

Answer:

1/144

Step-by-step explanation:

You multiply the top and bottom by itself because its to the second and you get rid of the negative because negative multiplied by a negative is positive

A furniture company is producing three types of furniture. Product A requires 7 board feet of wood and 4 lbs of wicker. Product B requires 5 board feet of wood and 5 lbs of wicker. Product C requires 4 board feet of wood and 3 lbs of wicker. There are 3000 board feet of wood available for product and 1400 lbs of wicker. Product A earns a profit margin of $35 a unit, Product B earns a profit margin of $42 a unit, and Product C earns a profit margin of $20 a unit. Formulate the problem as a linear program.

Answers

Given:

Product A requires 7 board feet of wood and 4 lbs of wicker.

Product B requires 5 board feet of wood and 5 lbs of wicker.

Product C requires 4 board feet of wood and 3 lbs of wicker.

Available wood = 3000 board feet

Available wicker = 1400 lbs

Profit margin of A = $35 per unit

Profit margin of B = $42 per unit

Profit margin of C = $20 per unit

To find:

The linear programming problem for given situation.

Solution:

Let the number of units produced of products A, B and C are x, y and z respectively.

                                Product A       Product B           Product C      Total

Board feet of wood       7                       5                       4               3000

wicker                            4                       5                        3               1400

Objective function: Maximize [tex]z=35x+42y+20z[/tex]

s.t.,

Board feet of wood  : [tex]7x+5y+4x\leq 3000[/tex]

Wicker : [tex]4x+5y+3x\leq 1400[/tex]

Number of units  cannot be negative. So, [tex]x,y,z\geq 0[/tex].

Therefore, the required LPP is

Maximize [tex]z=35x+42y+20z[/tex]

s.t.,

[tex]7x+5y+4x\leq 3000[/tex]

[tex]4x+5y+3x\leq 1400[/tex]

[tex]x,y,z\geq 0[/tex]

What is 120 divided by 55

Answers

Answer:

2.2

..................

120/55

What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?

A. y = −½ x − 5


B. y = −½ x − 1

C. y = 2x − 5


D. y = 2x − 1

Answers

Answer:

C. y = 2x − 5

Step-by-step explanation:

Given equation of line

2x − y = 3

rewriting the equation in slope intercept form as answer are given slope intercept form

y = 2x - 3

slope intercept form of equation is

y = mx + c

where m is the slope

c is y intercept

thus

slope for y = 2x - 3 when comparing with y = mx + c is 2

now we know slope of two parallel line is same

thus,

the slope of  line that is parallel to the line 2x − y = 3

is 2

Let the equation of required line be y = mx + c

where m = 2

thus

y = 2x + c is the new required equation

it passes through the point (2, −1)

using y = -1 and x = 2 in y = 2x + c

-1 = 2*2 + c

c = -1 - 4

c = -5

thus,

equation of required line is option c

y = 2x - 5 ----answer

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