Multiplying And Dividing Rational Expressions (2024)

Mathematics High School

Multiplying And Dividing Rational Expressions (1)

Answers

Answer 1

Answer:

the answer in the picture

Step-by-step explanation:

Multiplying And Dividing Rational Expressions (2)

Related Questions

Find the quotient when (4n6 + 8n5 + 10n4 + 8n2) is divided by 2n.

Answers

Answer:=2n5+4n4+5n3+4n

Step-by-step explanation:

Answer:

C. [tex]2n^{5} + 4n^{4} + 5n^{3} + 4n[/tex]

Step-by-step explanation:

Factor the numerator and denominator and cancel the common factors.

Your carry-on bag weighs 25 pounds. Carry-on bags can weigh at most 50 pounds. Write and solve an inequality to represents how much more weight you can add to the bag and still meet the requirement.

Answers

Answer: Required inequality: [tex]25+x\leq 50[/tex]

we can add at most 25 pounds.

Step-by-step explanation:

Let x = Weight added.

As per given,

25 pounds + Weight added Must be less than or equal to 50 pounds

i.e. Required inequality: [tex]25+x\leq 50[/tex]

To solve , we subtract 25 from both the sides ,we get

[tex]x\leq 25[/tex]

hence, we can add at most 25 pounds.

A survey showed that 56% of car owners prefer four-door cars, 31% prefer two-door cars, and 13% have no preference. You ask 300 people. How many do you think will prefer four-door cars?

Answers

Answer:

168

Step-by-step explanation:

number that prefer four-door cars = percentage of car owners that prefer four-door cars x total number of people surveyed

56% x 300

0.56 x 300 = 168

a picture has painted 75% of a wall the area so far is 108 square feet what is the total area of the wall that he needs to paint ?

Answers

Answer:

27 more

Step-by-step explanation:

k

HELP ASAP! Math - Pixel Art- Area and Perimeter i will mark brainly please help!!!!!!!

Answers

Answer:

Area

4 and width 8 equals 32

Perimeter

length 4 and width 8 equals 24

Area

length 20 and width 22 equals 440

Perimeter

length 20 and width 22 equals 88

Area

length 12 and width 8 equals 96

Perimeter

length 12 and width 8 equals 40

Area

length 15 and width 20 equals 300

Perimeter

length 15 and width 20 equals 70

Isn't this what you are asking for or is it something else. I hope this helps, If I did the answer wrong tell me and I will change it

Simplify the sum. State any restrictions on the variable.

Answers

Answer:

2/z

Step-by-step explanation:

Add 5 and 7

The answer will be 12

12/6z

Since both the numerator and denominator is divisible by 6 divide 6 on both the numerator and denominator

2/z

The answer is 2/z

Hope this helps!

graph it please????????????

Answers

I graphed it for you.

hey! pls help i’ll give brainliest

You roll a 6-sided die.

What is P(divisor of 63)? Choose the closest answer.

Answers

Answer:

the divisors of 63 are

Step-by-step explanation:

1,3,7,9,21,63

Answer:

Fraction Form: 2/6 or 1/3

or Decimal Form: .333

or Percent Form: 33.333?%

Step-by-step explanation:

The divisors of 63 that are 1-6 is 1 and 3

So there are TWO numbers out of SIX.

We would turn that into the fraction 2/6 and then simplify (optional) it to 1/3.

Then we use 2/6 to convert it to multiple forms if needed.

Find the values of x and y. State which theorems you used

Answers

Answer:

Step-by-step explanation:

5/6.

use that alternate exterior angles are congruent

3x= 5x -64; 64 = 5x-3x; 64= 2x ; 32 =x

use that lines form 180°

y+ 5x-64= 180

y= 180 +64 -5*32; y= 84

7/8.

use that alternating exterior angles are congruent

x=86

use that same side exterior angles are supplementary

x+y = 180; y= 180 -86; y= 94

9/10.

use that vertical angles are congruent

2y=59; y= 59/2; y= 29.5

use that alternate exterior angles are congruent

3x-4= 2y; 3x = 2y+4; x= (59+4)/3; x=21

3x(2-2x+6) HURRY PLEASE ​

Answers

It’s -6x^2 + 24x :))))))))))))))))

Answer:

-6x^2+24x

Step-by-step explanation:

3x(2-2x+6)

We have to distribute 3x to everything in the parenthesis.

3x(2)+3x(-2x)+3x(6)

6x-6x^2+18x

-6x^2+24x

..Its C right.????........

Answers

I would put B. They are alternate interior angles

It is B. Alternate interior angle Theron

Find the sum of x^2+3x and
-2x^2+9x+5

Answers

Answer: The answer is -x^2 + 12x + 5

Select the correct answer. (And pls no link)
Compare the two functions.
f(x)= 1/50(3)^x
g(x)=1/5x^2

Answers

Answer:

20 is right

Step-by-step explanation:

to easy I know maths

Answer:

When your comparing the two functions.

F(x)= 1/50(3)^x

G(x)=1/5x^2

When you compare it i think it would be C

PLEASE DONT QUOTE ME ON THIS

Step-by-step explanation:

2x - 5 + 8x .....................................

Answers

Answer:

10x - 5

Step-by-step explanation:

2x - 5 + 8x Get the common variables.

-5 = 2x + 8x

10x - 5

Hope this is correct :)

Hello there I hope you are having an great day :)

2x - 5 + 8x = 10x - 5

Hopefully that helps you :)

The Oregon Trail is 2,197 miles long. How long would it take a covered wagon traveling 20 miles a day to complete the trip? Hint Round to the nearest
ones place

Answers

Answer:

109 days and 9 hours

Step-by-step explanation:

Answer:

About 110 days

Step-by-step explanation:

Round up

2,197 would round up to 200

Divide 2,200 by 20, and there is your answer

PLEASE HELP ME !ASAP!!
Q1)What is the sum of the finite arithmetic series −10, −8, −6, −4, ...24?
show work !!
Q2)You are trying to save $1500. You begin with $5 and save $3 more than the previous amount each week for 30 weeks. Will you meet your goal? Explain. Show work

Answers

Solution :

First term, a₀ = -10 .

Common difference of A.P. , d = -8 - (-10) = 2 .

Last term, aₙ = 24 .

We know, last term is given by :

aₙ = a₀ + (n-1)d

24 = -10 + (n-1)×2

2n - 2 = 34

n = 18

Now, sum of series is given by :

[tex]S_n = \dfrac{n}{2} \times ( 2a+(n-1)d)\\\\S_n = \dfrac{18}{2} \times ( 2\times -10 + ( 18 -1) \times 2)\\\\S_n = 126[/tex]

Hence, this is the required solution.

Which expression is equivalent to – 2x²y3 ( 4x2 + 3xy – 5y3)?
A. -8x4y3 - 6x3,4 + 10x2,6
B. _8x4 y3 - 6x2y3 + 10x2,9
OC. 2x4 y3 + x3y4 – 7x2,6
O D. 2x4y3 + x2y3 – 7x2y9
Quicklyyyy please

Answers

Answer:

A. -8x⁴y³ - 6x³y⁴ + 10x²y^6

Step-by-step explanation:

Given:

– 2x²y³ ( 4x² + 3xy – 5y³)

Open the parenthesis

= (– 2x²y³ * 4x²) + (– 2x²y³ * 3xy) - (– 2x²y³ * 5y³)

= -8x⁴y³ + (-6x³y⁴) - (- 10x²y6^6)

= -8x⁴y³ - 6x³y⁴ + 10x²y6^6

The correct answer is

A. -8x⁴y³ - 6x³y⁴ + 10x²y^6

The angle measurements in the diagram are represented by the following expressions.
\qquad \blueD{\angle A} = \blueD{6x - 18^\circ}∠A=6x−18

start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 6, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B} = \green{14x +38^\circ}∠B=14x+38

The answer is 30 :)

Answers

Answer:

∠A = 30

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

A tool box has the dimensions of 10 in by 4 in by 7 in. If Magnus plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer: No. He's wrong.

Step-by-step explanation:

Since the tool box has the dimensions of 10 in by 4 in by 7 in. The volume will be:

= 10 × 4 × 7

= 280in³

When the dimensions are doubled, the new dimensions will be:

10 in = 10in × 2 = 20in

4in = 4in × 2 = 8 in

7in = 7in × 2 = 14in

The volume will now be:

= 20 × 8 × 14

= 2240in³

He is wrong, the volume isn't the double of the former tool box. The double of the former tool box will give (280in³ × 2) = 560in³. This is different from the new volume.

Megan recently invested $2,000 dollars in a fast-growing company. Her financial advisor expects that Megan's investment will grow in value by approximately 6% every month.
a) Write a function rule I(m) that models the value of Megan's investment after m months.
b) How much will her investment be worth in two years? Round to the nearest cent.

Answers

Answer:

2090

Step-by-step explanation:

0.06 × 2000 =120 therefore 120 × 24 =2088. and round off to the cent

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

No it's not compulsory.

Step-by-step explanation:

If the ratio of sides are given then that can also help you find angle. Not only that if the relationship between the perpendicular and base are given then you can find angle

E.g.

if the ratios of the sides is 5:4:3 then you can find the angle

what is the surface area of a box with measurements length = 5.7 height = 8.5 and width = 1.9? I forgot what surface area is so I need help

Answers

Answer:

150.86

Step-by-step explanation:

to calculate the surface area the formula is 2(wl+hl+hw). Hope I helped!

use the diagram to answer the question.​

Answers

Answer:

Step-by-step explanation:

25+105+x=180 degree(being sum of the interior angles of a triangle)

130+x=180

x=180-130

x=50 degree

Answer:

B. 50

Step-by-step explanation:

total angle of triangle = 180⁰

hence,

25 + 105 + x = 180

x = 50

therefore ans is B. 50⁰

HELLPPPP ITS DUE TODAYYY!!!

Answers

fraction- 3/10
decimal- 0.30
percent- 30%

Answer: 3/10, 0.3, 30%

Step-by-step explanation: If you count the shaded rectangles individually, you can find the numerator and denominator of the fraction. For the decimal, it would have to be 0.3 because 0.3 has "three-tenths", which is 3 in the tenths place. For the percentage, 3/10 is equal to 30/100 because 30/100 can be simplified to 3/10.

I hope you find this helpful, have a nice day.

A pyramid has a square base of 14cm and a height is 19 cm and slanted height is 21cm. Find its total surface area and it's volume

Answers

Answer:

Total surface area=728cm^2

Volume of pyramid=1241.33 cm^3

Step-by-step explanation:

Given data

Square base= 14cm

Height= 19cm

Slant height = 21cm

Area of all four triangular surfaces= 1/2B*H*4

Area of all four triangular surfaces= 1/2*14*19*4

Area of all four triangular surfaces= 1/2*1064

Area of all four triangular surfaces=532 cm^2

Area of square base= 14^2

Area of square base=196cm^2

Total surface area= Area of all four triangular surfaces+Area of square base

Total surface area=532+196

Total surface area=728cm^2

Volume of pyramid= a^2h/3

Volume of pyramid= 14^2*19/3

Volume of pyramid= 196*19/3

Volume of pyramid=3724/3

Volume of pyramid=1241.33 cm^3

Use the order of operations to find the value of the expression 2 + 3 x 16 - 2 x 21 - 3

Answers

Answer

5

Step-by-step explanation:

2+3x16-2x21-3

2+ (3x16)- ( 2x21) -3

2 + 48 - 42 -3

50 -42-3

8-3= 5

Answer:

=5

Step-by-step explanation:

2+3*16-2*21-3=

2+(3*16)-(2*21)-3=

2+(48)-(42)-3=

2+6-3=

8-3=

=5

Hope this helps

need help gotta turn in in 20 minutes!!!1

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

From the figure we can see that, [tex]\large\bold{3x°}[/tex] & [tex]\large\bold{x + 30°}[/tex] are vertically opposite angles.

Vertically opposite angles are equal to each other.

____________________

So, equation [tex]\large\bold{3x° = x + 30°}[/tex]

____________________

Value of x will be :-

[tex]3x° = x + 30° \\ 3x - x = 30 \\ 2x = 30 \\ x = \frac{30}{2} \\ x = 15[/tex]

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

I need help
A
B
C
D
?

Answers

Answer:

Step-by-step explanation:

i say a

The answer would be A

PLEASE HELP I’ll give you a 5 star!!!

Match each expression in the top row with an equivalent expression in the bottom row.

Answers

Answer:

maam i cant see the row of numbers lol

Step-by-step explanation:

Multiplying And Dividing Rational Expressions (2024)

FAQs

How to multiply and divide rational expressions? ›

After multiplying rational expressions, factor both the numerator and denominator and then cancel common factors. Make note of the restrictions to the domain. The values that give a value of 0 in the denominator are the restrictions. To divide rational expressions, multiply by the reciprocal of the divisor.

How do you multiply and divide rational numbers step by step? ›

Step 1: Express the given rational numbers in the form of a fraction. Step 2: Keep the numerator part as it is and multiply with the reciprocal of the denominator in rational number. Step 3: Find the product of the rational numbers, which is nothing but the division of rational Numbers.

What are the 5 steps in dividing rational expressions? ›

DIVISION OF RATIONAL EXPRESSIONS
  • Rewrite the division as the product of the first rational expression and the reciprocal of the second.
  • Factor the numerators and denominators completely.
  • Multiply the numerators and denominators together.
  • Simplify by dividing out common factors.
Aug 24, 2022

What is the first step when multiplying or dividing two rational expressions? ›

Multiplying and dividing rational expressions

Factor any factorable polynomial expressions in the numerators and the denominators. Cancel any identical factors that appear in both the numerators and the denominators of the expressions. Multiply the remaining numerators and multiply the remaining denominators.

What are four steps for multiplying rational expressions? ›

The basic steps are:
  • Start by completely factoring all the polynomials.
  • Use the denominators to find the restrictions to the domain. This is shown in the video.
  • Change division to multiplication by flipping the 2nd fraction (you want its reciprocal)
  • Cancel out all common factors.

What is an example of a rational expression? ›

Here are some examples of rational expressions: (x + 1) / (x2 - 5), (x3 + 3x2 - 5) / (4x - 2), etc. Note that if one of the numerator and denominator is NOT a polynomial, then the fraction is NOT called as a rational expression.

What is the rule for dividing rational numbers? ›

In order to divide two rational numbers, we can multiply the first rational number by the reciprocal of the second rational number. To find the reciprocal of a rational number, we flip it or, in other words, switch its numerator and denominator.

What is the rule for multiplying rational numbers? ›

If 𝑎 𝑏 , 𝑐 𝑑 ∈ ℚ , then 𝑎 𝑏 × 𝑐 𝑑 = 𝑎 × 𝑐 𝑏 × 𝑑 . This result allows us to multiply any two rational numbers given as fractions by multiplying the numerators and denominators separately. It is also worth noting that 𝑎 × 𝑐 𝑏 × 𝑑 ∈ ℚ , so the product of two rational numbers is also a rational number.

What is the formula for the multiplication of rational numbers? ›

Multiplication of rational numbers is equal to the product of numerators divided by the product of denominators.

How do you solve rational expressions step by step? ›

  1. Solution.
  2. Step 1: Factor all denominators and determine the LCD. ...
  3. Step 2: Multiply both sides of the equation by the LCD. ...
  4. Step 3: Solve the resulting equation. ...
  5. Step 4: Check for extraneous solutions.
Sep 5, 2022

What are the 3 steps on simplifying rational expression? ›

To simplify a rational expression, follow these steps:
  1. Determine the domain. The excluded values are those values for the variable that result in the expression having a denominator of 0.
  2. Factor the numerator and denominator.
  3. Find common factors for the numerator and denominator and simplify.

How do you divide rational expressions in college algebra? ›

To divide a rational expression by another rational expression, multiply the first expression by the reciprocal of the second. Using this approach, we would rewrite 1x÷x23 1 x ÷ x 2 3 as the product 1x⋅3x2 1 x ⋅ 3 x 2 .

How to simplify rational equations? ›

Step 1: Factor the numerator and the denominator. Step 2: List restricted values. Step 3: Cancel common factors. Step 4: Reduce to lowest terms and note any restricted values not implied by the expression.

What do you get when you divide two rational numbers? ›

Dividing a positive rational number and a negative rational number will result in a negative quotient. Dividing two positive rational numbers will result in a positive quotient. Dividing two negative rational numbers will result in a positive quotient.

What is the rule to find the product of two rational numbers? ›

Answer: The product of two rational numbers is rational." So, multiplying two rationals is the same as multiplying two such fractions, which will result in another fraction of this same form since integers are closed under multiplication.

How to multiply divide radicals? ›

To multiply two single-term radical expressions, multiply the coefficients and multiply the radicands. If possible, simplify the result. Apply the distributive property when multiplying a radical expression with multiple terms. Then simplify and combine all like radicals.

How to times and divide fractions? ›

To multiply fractions, we multiply the numerators together, and multiply the denominators together. To divide fractions, we first calculate the reciprocal of the dividing fraction and then multiply the numerators together, and multiply the denominators together.

References

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