write the rational expressions as equivalent rational expressions with the lowest common denominator

Write The Rational Expressions As Equivalent Rational Expressions With The Lowest Common Denominator

Answers

Answer 1

1. The equivalent rational expression with the lowest common denominator of   [tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex]   is [tex]\frac{2}{(d+5)(3d-1)}[/tex]

2. The equivalent rational expression with the lowest common denominator of [tex]\frac{3d}{3d^{2} - 22d + 7}[/tex]  is [tex]\frac{3d}{(d-7)(3d-1)}[/tex]

1.

  [tex]\frac{2}{3d^{2} + 14d^{2} - 5 }[/tex]

Let factorise the denominator below

3d² + 14d - 5

-15 and 14

Two numbers we can multiply to get -15 and add to get 14 are 15 and -1.

Therefore,

3d²- d + 15d - 5

d(3d - 1) + 5(3d - 1)

(d+5)(3d-1)

Therefore, the equivalent rational expression with the lowest common denominator will be

[tex]\frac{2}{(d+5)(3d-1)}[/tex]

2.

[tex]\frac{3d}{3d^{2} - 22d + 7}[/tex]

Factorise the denominator

3d²- 22d+7

3d²- d - 21d + 7

d(3d - 1) - 7(3d - 1)

(d - 7)(3d - 1)

Therefore, the equivalent rational expression with the lowest common denominator will be

[tex]\frac{3d}{(d-7)(3d-1)}[/tex]

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Related Questions

I’m a little lost on this

Answers

Do you have any options?

A cyclist rides her bike at a rate of 10 kilometers per hour what is this rate in miles per hour? How many miles will the cyclist travel in 3 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers l. Do not round your answers

Answers

Answer:

cyclist will travel 64 kilometres in 4 hours

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

(Hope this helps can I pls have brainlist (crown)☺️)

evaluate f(m-5) and simplify if f(x)=5x-9

Answers

Answer:

f(m-5) = 5m-34

Step-by-step explanation:

f(x)=5x-9

Replace x with m-5

f(m-5) = 5(m-5) -9

Distribute

         = 5m-25 -9

         = 5m-34

Answer:

answer is 5m - 34

Step-by-step explanation:

!!!!!!!!!!!!!!!!!!!!!!!!

A bag of M&M’s has 7 red, 2 green, 3 blue, and 8 yellow M&M’s. What is the probability of randomly picking: (Round to 4 decimal places)

Answers

Answer:

Y = 40%

R or G = 25%

O = 0%

Step-by-step explanation:

Total M&M's = 7+2+3+8 = 20

PY = 8/20 = .4 or 40%

P(R or G) = (2+3)/20 = 5/20 = .25 = 25%

PO = 0/20 = 0%

Please help I’m timed thank you!!!

Answers

Answer:

BAP=12

ABP=32.5

BCP=45.5

Evaluate the expression 6^2-(8–4^2+7

Answers

Answer

11

you can confirm from by yourself or tell

6²-(8-4)²+7=?=6²-(4)²+7=36-16+7=20+7=27

please mark this answer as brainlist

Simplify.
- 2x - } – 5x + i + x
-
х
-
17/3
-
3
+
10
х
Enter your answer in the box.
Do not use decimals in your answer.

Answers

Answer:

I'dont think it's 77 or not right

Given info:-

Evaluate:

[(1⅕ - 2/5).(-3/5)³]÷(-9)

⇛[6/5 - 2/5).(3³/5³)]÷(-9)

Take the LCM 5 & 5 is 5.

⇛[(6-2 /5). (3*3*3/5*5*5)]÷(-9)

⇛[(4/5).(27/125)]÷(-9)

⇛[4/5 × 27/125)]÷(-9)

⇛[(4*27)/(5*125)]÷(-9)

⇛[20/625] ÷ (-9)

⇛[20/625] ÷ 1/9

⇛20/625 × 9/1

⇛(20*9)/(625*1)

⇛180/625

Now, reduce the fraction by extracting and cancaling out with 5.

⇛36/125 or 0.228 Ans.

Hope this helps!

x^2-6x+13 step by step to vertex form

Answers

What’s the 3 options

What is 449,650 rounded to the nearest ten thousand?

400,000
440,000
449,000
450,000

Answers

Answer:

450,000

Step-by-step explanation:

The ten thousand digit is 4 and if we compare it to 9, it is bigger then 5 therefore it is rounded up and you get the answer of 450,000

A ping pong ball has a 75% rebound ratio. When you drop it from a height of k feet, it bounces and bounces endlessly. If the height of the bounce follows geometric progression, find the general term that represent the situation in term of k. [2 marks] Hence, if the ball dropped from a height of 235ft, determine i. the highest height achieved by the ball after six bounces ii. the total distance travelled by the ball when it strikes the ground for 12th time [2 marks] [3 marks b) The number of cell double after each process of cell division every 2 hours. If there are 120 bacteria initially, how many bacteria will be there after one and half day? [4 marks]​

Answers

The movement of the ping pong ball follows a exponential progression.

The expression for the k-th bounce is: [tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]The height after the 6th bounce is 41.82 ftThe total distance after the 12th bounce is 1584.84ft.There will be 31457280 bacteria after a day and a half.

1. Ping pong ball

The given parameters are:

[tex]\mathbf{a = 235}[/tex] --- the initial height

[tex]\mathbf{r = 75\%}[/tex] --- the common ratio

(a) The expression after bouncing k times

To do this, we make use of

[tex]\mathbf{T_n = a \times r^n}[/tex]

So, we have:

[tex]\mathbf{T_n = 235 \times (0.75)^n}[/tex]

In this case; k = n.

So, the equation becomes

[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]

Hence, the expression for the k-th bounce is: [tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]

(b) The height after bouncing 6 times

This means that k = 6.

So, we have:

[tex]\mathbf{T_k = 235 \times (0.75)^k}[/tex]

[tex]\mathbf{T_6 = 235 \times (0.75)^6}[/tex]

[tex]\mathbf{T_6 = 41.82}[/tex]

Hence, the height after the 6th bounce is 41.82 ft

(c) The total distance after the 12th bounce

First, we calculate the total height after the 12th bounce using:

[tex]\mathbf{S_k = \frac{a(1 - r^k)}{1 - r}}[/tex]

So, we have:

[tex]\mathbf{S_k = \frac{235 \times (1 - 0.75^{12})}{1 - 0.75}}[/tex]

[tex]\mathbf{S_k = \frac{235 \times (0.968)}{0.25}}[/tex]

[tex]\mathbf{S_k = 909.92}[/tex]

So, the total distance is:

[tex]\mathbf{Distance = 2 \times S_k - a}[/tex]

[tex]\mathbf{Distance = 2 \times 909.92 - 235}[/tex]

[tex]\mathbf{Distance = 1584.84}[/tex]

Hence, the total distance after the 12th bounce is 1584.84ft.

(2) Cell division

The given parameters are:

[tex]\mathbf{r = 2/2hr}[/tex] --- rate

[tex]\mathbf{a = 120}[/tex] --- initial number of cells

[tex]\mathbf{t = 18}[/tex] --- number of 2 hours is a day and a half

So, the number of bacteria is:

[tex]\mathbf{T_t = ar^t}[/tex]

This gives

[tex]\mathbf{T_t = 120 \times 2^{18}}[/tex]

[tex]\mathbf{T_t = 31457280}[/tex]

Hence, there will be 31457280 bacteria after a day and a half.

Read more about exponential functions at:

https://brainly.com/question/11487261

A landowner recently sold a large plot of land. The sale decreased his total acreage by 12%. Let v be the original acreage.

a. Write two equivalent expressions that represent the new acreage.

Answers

Answer:

.88v or [tex]\frac{22}{50}[/tex]v

Step-by-step explanation:

Answer:

Step-by-step explanation:

Link is needed

Same value as 40% of 84

Answers

Answer:

33.6

you are welcome :)

Step-by-step explanation:

Aashi buys
2 packets of bread rolls costing £1.40 for each packet
1 bottle of ketchup costing £1.80
3 packets of sausages
Aashi pays with a £10 note.
She gets 45p change.
Work out the price in pounds (£) of one pack of sausages.

(you will get brainliest) !! :D

Answers

Bread rolls = BR
Ketchup = K
Sausages = S

2BR +1K + 3S = £10 - 45p
2BR + 1K + 3S = £9.55

2BR = 1.40 x 2 = £2.80
1K = £1.80

£2.80 + £1.80 + 3S = £9.55
3S = £9.55 - £2.80 - £1.80
3S = £4.95
£4.95 / 3 = BR
S = £1.65

The answer is £1.65 for one pack of sausages

Price of one unit Sausage =  1.65

Sum ( Price x Quantity) = Total Expenditure  

Price of Bread x Quantity of Bread + Price of Ketchup x Quantity of Ketchup + Price of Sausage x Quantity of Sausage

Total Expenditure Value = 10 - 0.45  = 9.55

Let price of sausage = P

Therefore, 2 (1.40) + 1 (1.80) + 3 P = 9.55

2.80 + 1.80 + 3 Ps = 9.55

4.6 + 3 P = 9.55

3P = 9.55 - 4.60 =  4.95

P = 4.95 / 3 = 1.65

To learn more, refer https://brainly.com/question/16910784?referrer=searchResults

__% of 4 is 7

Please answer its due today

Answers

Answer:

175%

hope that helps. :)

I think is 3 I don’t know if is right

help #2 #4 #6 #8 #10 #12

Answers

FhehsjsudjwbsbzjsuuejZjdjekrndksusjsjenenf

An academy requires there to be 3 teachers for every 72 students and 5 tutors for every 60 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 132 students?

Answers

For every 24 students there is one teacher. For every 12 students is one tutor. If the Academy had 132 students then you will need 11 tutors.

help with 14 please!!! please also explain!!

Answers

Answer:

f = ab/(a + b)

Step-by-step explanation:

#14

Given:

1/f = 1/a + 1/b

Solving for f:

1/f = b/ab + a/ab1/f = (a + b)/ab         cross - multiplyf(a + b) = ab             divide by (a + b)f = ab/(a + b)

Vocabulary How does a percent relate to a proportion? Drag the words to complete the explanation Each word may be used once or not at all

Answers

Answer:

A percent is a constant of proportionality describing the part of the whole

Step-by-step explanation:

PLEASE HELP ME ITS ALGEBRA THANK YOUUUU

Answers

900 divided by 20 = 45
unit rate = 45
so $45 per person
85 guests x 45 = 3825

I hope this helps!

Find the sum of A.5 B.3 C.4 D.1

Answers

Answer:

D. Maybe? brainliest suggested

Step-by-step explanation:

if y varies inversely as x, when y=20 and x=2 find the equation for y. then, find y when x=4

Answers

Answer:

the equation for y=20=1/2

Step-by-step explanation:

y=1/4

y=0.25

If the sales tax rate is 8.9%, how much tax will be paid on a $457 tv?
State your answer in terms of dollars, rounded to the nearest cent (hundredth).
Do not include a $ sign with your response.

Answers

The tax on the tv is 40.67

X-6y=6 find an ordered pair

Answers

Answer:

(6,0) or (0,-1)

Step-by-step explanation:

X-6y=6

X=6+6y

X/6=1+y

X/6-1=y

y=X/6-1

We'll use substitution to solve the ordered pair. Let's say Y = 0. We'll insert it back into our equation.

0=X/6-1

1=X/6

6=X

(6,0)

We can also start with X being = 0.

y=0/6 -1

y=-1

(0,-1)

I've attached what that would look like as a graph.

Question 7 of 10
Which statement best describes an example of a short-term investment
strategy?
A. Mariam buys an IRA that she can't withdraw from without penalty
until she's 59.5.
B. Mariam invests $4,000 in a mutual fund to create a new income
stream.
O C. Mariam buys a certificate of deposit to set aside money for a
down payment on a car.
D. Mariam buys 100 shares of stock in a proven company known for
solid, dependable performance over time.
SUBMIT

Answers

Answer:

C

Step-by-step explanation:

Its not A  because she can't withdraw it for however many years.

Its not B because creating a new income stream is a long term investment.

Its not D because it says she buys stock of a long-term performing company

Can someone help me please

Answers

Answer:

The financial aid covers $ 1,875

Student needs to pay out-of-pocket $635

Step-by-step explanation:

(2,500) * (3/4) = 7500/4 = 1,875

2,500 - 1,875 = 635

Please help me with number 8

Answers

Answer:

jjejejkwkwkqkkqkqkqkkqkqkq

Find the volume of the composite solid.

Answers

Answer:

volume

________

7 ft 8 ft 7.5 ft 7 ft



PLZ HELP. SEE PICTURE FOR DETAILS ON THE PROBLEM

Answers

Answer:

[tex] \frac{1}{3} x + \frac{1}{2} [/tex]

This is the answer after simplifying

Write the equation in function form:
8x + 4y = 20

Answers

The answer is f(x) = 5 - 2x

Function form means just replace y with f(x).

So given 8x + 4y = 20:

Subtract 8x
4y = 20 - 8x

Divide both sides by 4
y = 5 - 2x

please ans very easy question​

Answers

Answer:

what is the question please tell me on comment

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