How to find the product of rational expressions

Answers

Answer 1
1. find the greatest common factors of the numerator & denominator 
2. regroup the factors to make fractions equivalent to 1
3. multiply the remaining factors

Answer 2
Step 1: Factor both the numerator and the denominator...

Step 2: Write one as a fraction

Step 3: Simplify the rational expression

Step 4: Multiply any remaining numerators and/or denominators...

Step 5: Factor both the numerator and the denominator

Step 6: Write as one fraction
 Sorry its a little long..                                                                                                                                                                                

Related Questions

Factor the expression.

t^2 - 14t + 49

Answers

(t-7)(t-7) is the answer !! :)
The right answer is (t-7)^2

Which graph shows the axis of symmetry for the function f(x) = (x – 2)2 + 1?

Answers

What are the options?

Answer:

B

Step-by-step explanation:

jack has no more than $24 to spend on DVD's for a party. Each DVD rents for $4. Find the maximum number of DVD's jack can rent for his party. answer must be written on a number line

Answers

Assuming he spends all the $24 on renting DVD's we can simply divide the money he has available with the price of each DVD in order to know how many he can buy.

$24/$4 = 6

Jack can rent a maximum of 6 DVD's

Answer:

Jack can rent a maximum of 6 DVD's

Step-by-step explanation:

Use the graph of the function h below to find the following.All values at which h has a local minimum
All local minimum values of h
If there is more than one answer, separate them with commas.

Answers

Final answer:

Local minimums of a function are points where the function changes from decreasing to increasing. They are found at the x-coordinates where this change occurs, and their specific values are the y-coordinates of these points.

Explanation:

A local minimum of a function is a point where the function has lower values than at all nearby points. To find these points on a graph, look for the locations where the function goes from decreasing to increasing. These are the x-values at which the function has a local minimum. To find the actual minimum values, find the y-coordinates of these points. For example, suppose function h has local minimums at x = -2 and x = 3. The y-coordinates of these points, say, y = -5 and y = 0, respectively, would be the local minimum values of h.

Learn more about Local Minimum here:

https://brainly.com/question/34256226

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Two workers produced 86 parts during their working shift. The first worker produced 15% more parts than the second one. How many parts did each worker produce?

Answers

Answer:

Worker 1: 46 parts

Worker 2: 40 parts

The slope of a line is -, and the y-intercept is . What is the equation of the line written in general form?

A) 10x + 3y - 1 = 0
B)x + 3y + 10 = 0
C) x + 3y - 10 = 0

Answers

i would say the answer is c hope that helps
Your answer:
C) x + 3y - 10 = 0


Hope it helped : )

What is the answer to 0.1 * n = 89.9 ?

Answers

divide both sides of the equation by 0.1 which leaves you with
n = 89.9/0.1 = 899

The Answer to this question is N=899
How? Let's solve your equation step by step.

0.1n=89.9

Step 1: divide both sides by 0.1.


0.1n = 89.9
0.1      0.1

so 89.9/0.1 we get

n=899

The ordered pair below is a solution to which equation? (2, 12) A. y = 6x B. y=1/2x C. y = 2x D. y=1/6x

Answers

Substitute the x for 2 and the y for 12 in each equation. The first choice works out. (12)=6(2), 12=12. This means the answer is true. A is your answer.

URGENT! PLEASE HELP MATH!

Which shows the conversion of 0.427 kg to pounds?

There are 2.2 pounds in 1 kilogram.

A.
0.427 kg × 2.2 lb/kg = 9.39 lb

B.
0.427 kg × 2.2 lb/kg = 0.939 lb

C.
0.427 kg + 2.2 lb/kg = 2.627 lb

D.
0.427 kg ÷ 2.2 lb/kg = 0.194 lb

Answers

2.2lb=1kg
conversion factor is
2.2lb/1kg
since they are equal, that equals 1

0.472kg times (2.2lb/1kg)=0.9349 lb
answer is B
Pro tip! Use this magical thing called dimensional analysis. It works on the principle that you are converting a unit to another unit. More in depth, it cancels out the unit you don't want! So, in this case we want to cancel out the kg unit. What do I mean by cancelling? It's the same concept as 2/2 they cancel out because 2/2 = 1. Units work in a similar fashion. When two of the same units are over each other they cancel out of the problem.

Remember, the numerator of a fraction is whatever is on top. The denominator is on the bottom!

Explanation aside let's use it in a problem!

[tex] \frac{0.427kg}{1} * \frac{?}{?} [/tex]

We want the denominator to have kg, so let's put the kg unit next to the ? in the denominator.

[tex] \frac{0.427kg}{1}* \frac{?}{?kg} [/tex]

Now, glance back at your conversion rate and look at what the over unit is. In this case it is pounds (lb). So put that next to the ? in the numerator.

[tex] \frac{0.427kg}{1}* \frac{?lb}{?kg} [/tex]

The ? are to be filled in with the conversion rate. Meaning 2.2lb per 1kg. So wherever there is the unit for lb, you put 2.2 in. Same thing for the kg unit. 

[tex] \frac{0.427kg}{1}* \frac{2.2lb}{1kg} [/tex]

Multiply across. (Multiply the numerator by the numerator, and denominator by denominator!)

The problem can be rewritten as this: 
0.427kg * 2.2lb

The final answer to this problem is: 
0.427kg*2.2lb = 0.939

AKA: B

Does it matter if you add azero when you divide a dcimal.

Answers

no, it won't change the outcome.

Answer:

no it does not matter

Step-by-step explanation:

A group of men and women were asked what their favorite pet was, and the results of the survey were tabulated. find p(b/not
a.

Answers

I believe this is incomplete what are the choices

If f(x) = 3x + 10x and g(x) = 4x – 2, find (f + g)(x).

A. 17x – 2
B. 3x – 6x + 2
C. 3x + 14x – 2
D. 3x + 6x + 2

Answers

3x + 10x + 4x – 2
= 17x - 2

answer is A. 17x – 2

Answer:c

Step-by-step explanation:

Rachel and Sierra are selling boxes of fruit as a fundraiser. Rachel has sold 9/10 boxes of fruit and Sierra has sold 2 has sold 5/8 of her boxes.which girl has sold a greater fraction of her boxes of fruit?Draw a model and Explain

Answers

Rachel sold more because 9/10 is equal to 0.90 and 5/8 is equal to 0.625.

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using __________.

A. The law of sines
B. The alternative form of the law of sines
C. The alternative form of the law of cosines
D. The Pythagorean Theorem

Answers

Answer;

C. The alternative form of the law of cosines

When given all three side lengths of a triangle but none of the angle measures, you can solve for all angle measures using the alternative form of the law of cosines.

Explanation;From the law of cosines, given that a, b and c are the edges of a triangle and A, B and C are  the corresponding interior angles of the the triangle.Then; a² = b² + c² − 2 bc cos A, or          b² = a² + c² − 2 bc cos B, or          c² = a² +b ² − 2 bc cos C

Therefore; when given all the sides or edges of the triangle;

we can use the law of cosines to find one angle, then we use the law of cosines again to find the second angle, and finally,we use the point that angles in a triangle add up to 180 to get the third angle;

How many years will it take for 2000 to double at a simple interest rate of 8%? explain how you found your answer

Answers

A = P(1+RT)
A (Future) = 2000(2) = 4000
P (Principal) = 2000
R (Rate) = 8% =.08
T (Time) = Unknown

Create the equation:
4000 = 2000(1+.08t)

Distribute the 2000:
4000 = 2000 + 2000(.08t)

Multiply the 2000(.08t):
4000 = 2000 + 160t

Subtract the 2000 from both sides:
2000 = 160t

Divide by 160:
12.5

Answer:
It will take 12.5 years (12 years and 6 months) to double the 2000 to double.

12 liters is about how many quarts

Answers

12.6803 would be the answer hope you get your homework/quiz 100%




Bianca wrote the steps for her solution to the equation 2.3 + 8(1.3x – 4.75) = 629.9. She left out the description for the last step.



What is the missing step of her solution?

Add 10.4 to both sides.
Add negative 10.4 to both sides.
Multiply both sides of the equation by 10.4.
Divide both sides of the equation by 10.4.
Mark this and return

Answers

Answer:  Last Option is correct.

Step-by-step explanation:

Since we have given that

[tex]2.3 + 8(1.3x-4.75) = 629.9[/tex]

We need to solve the above equation,

[tex]2.3 + 8(1.3x-4.75) = 629.9\\\\2.3+10.4x-38=629.9\\\\-35.7+10.4x=629.9\\\\10.4x=629.9+35.7\\\\10.4x=665.6\\\\\text{ Dividing 10.4 on both sides}\\\\x=\frac{665.6}{10.4}\\\\x=64[/tex]

Hence, Divide both sides of the equation by 10.4.

Therefore, Last Option is correct.

Answer:

D

Step-by-step explanation:

14 inches of snow fell in 4 hours how much snow fell each hour

Answers

14 inches fell in 4 hours
14 inches / 4 hours

14/4 = 3.5

3.5 inches of snow fell every hour.

The recursive formula An+1 = 2∙An number of people with a virus in a school each week. If there are 96 people infected with the virus after 3 weeks, how many people will be infected after 6 weeks? What is the explicit formula?

Answers

each week the number infected doubles. the formula would be 2(2(2(96))). the sum is equal to 768.

768.

In which quadrant is point (4,5) located

Answers

The first quadrant, The quadrants start in the top right, then the top left, then the bottom left, the finally the bottom right.

That would be the second quadrant since both points are positive! Hope this helps, good luck and happy holidays!

15x+1= y solve for x ...?

Answers

15x + 1=y   subtract 1 from both sides

15x=y-1   divide both sides by 15

x=(y-1)/15

5 lollipops and 12 toffees have a mass of 61 grams and 10 lollipops and 13 toffees have a mass of 89 grams . Calculate the mass of one lollipop and one toffee

Answers

a - mass of the lollipop
b - mass of yhe toffee

5a + 12b = 61
10a + 13b = 89

10a = 89 - 13b
a = 8.9 - 1.3b

5*(8.9 - 1.3b) + 12b = 61
44.5 - 6.5b + 12b = 61
5.5b = 16.5
b = 3

a = 8.9 - 1.3*3 = 5

a = 5
b = 3

Lollipop has a mass 5g and toffee 3g

Larry Klaus withdrew $310.80 simple interest from an account after 4 years. If he invested $1,110.00, how much was his rate of interest?

7%
6%
4%
5%

Answers

7% is the answer to your question

Answer:

7% is the answer (hope this helps) or do you need explanations?

Step-by-step explanation:

Determine the volume of the right circular cone generated by rotating the line y = 1/3x about the y-axis between y = 0 and y = 3.
A) V = 81pi cu.units
B) V = 84pi cu.units
C) V = 82pi cu.units
D) V = 85pi cu.units
E) V = 83pi cu.units

Answers

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.

Below is the solution:

Rotating around the y-axis; solve for x. y = x/3
x = 3y

Find x^2
x^2 = 9y^2

Integrating it using the limits of 0 and 3, remember to add the pi and integrate 9y^2.

The answer is 81pi cubic units which is A. 

In this exercise we want to calculate the volume of a circular cone in this way we have that the rotation will be given by:

Letter A

First let's write the rotation in favor of the X, this will be equal to:

[tex]y = x/3\\x = 3y[/tex]

So substituting this value in the function we find that:

[tex]x^2 =(3y)^2= 9y^2\\\int\limits^3_0 {9y^2} \, dx =81 \pi[/tex]

See more about volume at brainly.com/question/1578538

which is a factored form of 216p^3 + 125q^3?

Answers

Simple....

you have: [tex] 216p^{3} + 125p^{3} [/tex]

Simplify it by factoring out [tex] p^{3} [/tex]-->>

[tex] p^{3} (341)[/tex]

Or, just add it-->>

[tex] 341p^{3} [/tex]

Thus, your answer.

The factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]

To find the factored form of the expression [tex]\(216p^3 + 125q^3\)[/tex], we can use the sum of cubes formula:

[tex]\[ a^3 + b^3 = (a + b)(a^2 - ab + b^2) \][/tex]

Where a = 6p and b = 5q.

Substituting these values into the formula, we get:

[tex]\[ 216p^3 + 125q^3 = (6p)^3 + (5q)^3 \][/tex]

[tex]\[ = (6p + 5q)((6p)^2 - (6p)(5q) + (5q)^2) \][/tex]

[tex]\[ = (6p + 5q)(36p^2 - 30pq + 25q^2) \][/tex]

Therefore, the factored form of [tex]\( 216p^3 + 125q^3 \) is \( (6p + 5q)(36p^2 - 30pq + 25q^2) \).[/tex]

Complete question:

What is the factored form of 216p³+125q³?

Find the inverse of f(x)=2x^2+5

Answers

f^-1(x) = sqrt 2(-5+x)/2, - sqrt 2(-5+x)/2

factor 6x^2+11x+4 ...?

Answers

(3x + 4)(2x + 1) is it factorised

being timed help



What is the common ratio for the geometric sequence?



43,4,12,36,...

Answers

i'm assuming 43 is actually 4/3
see what number the previous term must be multiplied by to get the next term
4 *something = 12, 12*something=36
common ratio is 3

(3a2 + 2a - 2) - (a2 - 3a + 7)

Answers

remember to distribute invibile -1
simlify 2nd part
-(a^2-3a+7)=-1(a^2-3a+7)=-a^2+3a-7

now we have
3a^2+2a-2-a^2+3a-7=
3a^2-a^2+2a+3a-2-7=
2a^2+5a-9

If the principal is $350 and the interest rate is 3 percent, what is the simple interest earned in one year? simple interest = P × r × t Select one of the options below as your answer: A. $10.50 B. $30.25 C. $105

Answers

the interest rate earned in one year is $10.5

Answer:

The option A. $10.50 is correct

Step-by-step explanation:

Principal = $350

Rate = 3%

⇒ Rate = 0.03

Time = 1 year

Now, Simple Interest is given by the formula : Principal × Rate × Time

Therefore, Simple Interest = 350 × 0.03 × 1

Simple Interest = $10.50

Hence, The option A. $10.50 is correct

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We are to become more like ______ as we grow in the Christian life.A: christB: pastorsC: angels What is the factored form of the expression? s^4 16A. (s - 2)^2(s + 2)^2B. (s - 2)(s + 2)C. (s - i)(s + i)(s - 2)(s + 2)D. (s - 2i)(s + 2i)(s - 2)(s + 2) Franko's pizza is selling their pizzas 35% cheaper than usual. if a pizza normally costs $12.00, how much is it now? Solve -2.5n + 8.7 > 5.45.n < 1.3n > 1.3n < -5.66n > -5.66 . If one mole each of CH4, NH3, H2S, and CO2 is added to 1 liter of water in a flask (1 liter of water = 55.5 moles of H2O), how many moles of hydrogen, carbon, oxygen, nitrogen, and sulfur are in the flask? Round your answers to the nearest whole number.How many moles of Hydrogen, Carbon, Oxygen, Nitrogen, and sulfur will there be? A car has a mass of 1,200 kg. What is its acceleration when the engine exerts a force of 600 N? (Formula: F=ma) 0.5 m/s2 2 m/s2 600 m/s2 1,800 m/s2 what percent of 67.5 is 7.02 After an oil discovery is made, approximately how long does it take the oil to reach the market?A. Almost immediatelyB. About a yearC. About 5 yearsD. About 10 years Mr. Rivas bought a can paint. he used 3/8 of it to paint a bookshelf. he used 1/4 of it to paint a wagon. he used some of it to paint a birdhouse and has 1/8 of the paint left. how much paint did he use for he birdhouse La ruta cultural indgena ms importante entre Argentina y Per es _____.El mateLa pavaEl Camino IncaEl Quechua Which statement is true if the hrxn of a reaction is positive Which of the following best shows the broad scope of Thomas Edisons work? The stress force that causes a mass of rock to pull or twist in opposite directions in called ______. what happens to the solar energy absorbed by plants during photosynthesis? what is the ratio in lowest terms of 14 miles to 84 miles 10.)Which of the following best describes a typical day for a child during years 1763 to 1841?A.) attending school; helping the family business B.) not attending school; having only a few chores C.) not attending school; helping on the family farmD.) attending boarding school; separated from parentsC? What are some things to consider when deciding to use free weights or machine weights? indirect definition for anxious Find the product for 7 x 2/3 Which principles of effective communication would be especially important when you are communicating with someone whose primary language is different than your own