Mathematics Middle School

Rational function / Adding

Please draw steps and show answer

Answers

Answer 1

Answer:

(6x² +20x -5)/(x² +6x +8)

Step-by-step explanation:

You want the sum of (5x)/(x+2) and (x² -5)/(x²+6x+8).

Common denominator

Each term can be expressed with the same denominator. Then the numerators can be added.

[tex]\dfrac{5x}{x+2}+\dfrac{x^2-5}{x^2+6x+8}=\dfrac{5x(x+4)}{(x+2)(x+4)}+\dfrac{x^2-5}{(x+2)(x+4)}\\\\\\=\dfrac{5x^2+20x+x^2-5}{(x+2)(x+4)}=\boxed{\dfrac{6x^2+20x-5}{x^2+6x+8}}[/tex]

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Related Questions

Is 6 a solution to the equation x2 - 4 =5x

Answers

Answer:

No.

Step-by-step explanation:

Let's verify that the left-hand-side and -right-hand-side are different, when we replace x by 6:

(6)^2-4=36-4=32

5(6)=30

As 32 is different from 30, then 6 is not a solution of the equation.

Answer:

4/7

Step-by-step explanation:

x2-4= 5x

= +x2

-4=7x

Need help guys can you answer this.

Answers

Answer:

10h=m or if you not at that math level yet it would times Hx10=M

Step-by-step explanation:

Answer:

m = 9h

Step-by-step explanation:

you can see that in 5 hours she earns 45 dollars

divide 5 hours by 5 and 45 dollars also by 5

you then find that in 1 hour she earns 9 dollars

so in h hours she earns 9 times h

which is h = 9h

but in this case it asks for money so it is m = 9h (h is how much hours she worked)

What is the least common mutipule of 12 and 16

Answers

Answer:

Step-by-step explanation:

The LCM of 12 and 16 is 48.

12*4= 48

16*4= 48

Answer:

Step-by-step explanation:

12, 24, 48, 60.....

16, 32, 48, 64....

the least common multiple is 48

What is the volume, in cubic units, of the
rectangular box shown below?

Answers

36 I hope this helps

A mountain road is 5 miles long and gains elevation at a constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, the elevation is 6200 feet above sea level.
What would be the equation of this line?

Find the elevation of the road at the point where the road begins.

Describe where you would see the point in part (a) on a graph where represents the elevation in feet and represents the distance along the road in miles.

Answers

Answer:

I hope this helps

Step-by-step explanation:

The elevation of the road 4800 feet at the beginning and it gains elevation at a constant rate of 350 feet per mile.

A linear equation is in the form:

y = mx + b;

where m is the rate of change, b is the initial value of y and y, x are variables.

Let y represent the elevation of the road after x miles.

After 2 miles, the elevation is 5500 feet above sea level. Hence:

5500 = 2m + b (1)

After 4 miles, the elevation is 6200 feet above sea level. Hence:

6200 = 4m + b (2)

Solving equation 1 and 2 simultaneously gives:

m = 350, b = 4800

The elevation of the road 4800 feet at the beginning and it gains elevation at a constant rate of 350 feet per mile.

Find out more at: brainly.com/question/25718473

At Riptide Roller Coaster Park, 55% of those surveyed named the Super Loop as their favorite ride. If 1,100 people chose the Super Loop, how many people were surveyed? The percent written as a part-to-whole ratio is compared to 100. 55 multiplied by is equal to 1,100. 100 multiplied by is equal to . people were surveyed at the Riptide Roller Coaster Park.

Answers

Answer:

1. 55, 2. 20, 3. 20, 4. 2,000, 5. 2,000

Answer:

1. 55 2. 20 3. 20 4. 2000 5. 2000

i took the test

Help ASAP WILL GIVE BRAINLIEST TO RIGHT ANSWER

Answers

m= -1/5

3m+2m= 5/2-7/2

5m= 5/2-7/2

5m= -1

m= -1/5

M = -1/5 or -0.2
Sometimes it is easier to solve in a decimal form rather than a fraction form.

What would be the perimeter of an image if a scale factor of 5 was applied?

Answers

Answer:

Step-by-step explanation:

So first if it was a scale factor 5 you would multiply it by 5 for each side. So for the side of 8 you would multiply it by 5 which is 40 so that side and the other side across from it would also be 40 units. Then for the next one there is 12 units so you do the same 12x5 is equal to 60 so will the one below it.

Then it would be (40 * 2) + (60 * 2)= 80 + 120= 200

So then the perimeter would be 200 units.

First, multiply the length and width each by 5.
12 x 5= 60
8 x 5= 40
For perimeter, add length + length + width + width.
60+60+40+40= 200.
200 ft.

Another way would be to find the perimeter
12+8+12+8= 40
40 x 5= 200
200 ft.
Hope this helps!!

What is the result of factoring out the GCF from the expression (24 + 36)?
A 12 × (12 + 18)
B 12 × (2 + 3)
C 6 × (8 + 12)
D 12 × (4 + 6)

Answers

B

12 times 2 = 24. 12 times 3 = 36
All of that makes the top equation true

The distance of planet Mercury from the Sun is approximately 5.8 ⋅ 107 kilometers, and the distance of planet Venus from the Sun is 1.1 ⋅ 108 kilometers. About how many more kilometers is the distance of Venus from the Sun than the distance of Mercury from the Sun?

5.2 ⋅ 107 kilometers
4.7 ⋅ 108 kilometers
5.2 ⋅ 108 kilometers
5.7 ⋅ 109 kilometers

Answers

Answer:

5.2

Step-by-step explanation:

distance(Mercury, Sun) = 5.8 x 10^7

distance(Venus, Sun) = 1.1 x 10^8

distance(Venus, Mars) = 1.1 x 10^8 - 5.8 x 10^7

The subtraction is a little easier if you borrow a power of 10 from the 10^8, multiplying 1.1 by 10.

simply subtract 5.8 from 11.0.

This gives us a result of 5.2 x 10^7.

Answer is 5.7 hope that helps

Please help, I'm so confused.

Identify the percent of change in the alligator population using 5000 as an estimate for the population of the alligator in 1967, and 5 million as an estimate for the present day population. Use your results to explain why alligators aren't considered endangered anymore. (Note the part for the percent proportion is the change in population, and the whole is the initial population in 1967)

Answers

Answer:

sorry I am in high school so I don't really remember learning about this

Step-by-step explanation:

So Endangered would be that there were very few population but just in 53 years the population has grown 1,000x more. So in that amount of time 4,995,000 Alligators were born. That’s a huge increase, so it’s at the point of far from endangered the population isn’t scarce anymore.

If Michael's dirt bike has a full 2-gallon tank. and runs through 1.5liters every 30 minutes of constant riding. how much gas will he have left after 2 hours and 45 mins?

Answers

7 would be your answer

7 would be correct.

Calculate the distance between (4,5) and (4,-10)

Answers

Answer:

I think it would be -15

Step-by-step explanation:

If you count backwards, you would get to -15.

It will be -15 hope this helps

(3.3x10^4)+(7.7x10^5) scientific notation

Answers

Answer:

8.03x10^5

Step-by-step explanation:

(3.3x10^4)+(7.7x10^5)

first put them into standared form.

33000+770000

then add.

803000

then put back into scientific notation.

8.03x10^5

Answer:

8.03 x 10^6

(3.3 x 10^4) + (7.7 x 10^5)= 803000 and move the decimals 6 places to get it behind the 8

Hot dogs buns come in a package of 8. At a barbecue guest ate 42 hot dogs on buns. Write a mixed number that express how many package of buns were used.

Answers

5 1/4 packages were used

Screen-printing a batch of shirts requires 3 minutes per shirt in addition to 16 minutes of initial set-up time. If it takes 31 minutes to screen-print a batch of shirts, how many shirts are in the batch?

Answers

Answer:

The 16 comes from the fact that we take 16 minutes to set up

Step-by-step explanation:

Answer:

The answer is 5 shirts per batch.

Step-by-step explanation:

If you subtract 16 from 31 you get 15.

And because you make 1 shirt per 3 mins, you can divide 3 from 15 and that would get you to 5.

The question is in the picture

Answers

Answer:The answer is C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Start at the origin, then move right 4 times. Then go up 7 times.

(4,7) means (x,y)

Please answer this thank you :>

Answers

Answer:

-0.291

Step-by-step explanation:

5/12- 1/8= 0.29166666666

So we cut it off at -0.291

Answer: negative 7/24 not sure how to explain in word form so i attached an image of the answer, hope it helps

You are having a pizza - making party.
You will need 6 ounces of dough and 4 ounces of sauce for each person ( including yourself, the host ) .
Once you have a total count of guest, you buy exactly the needed amount of all the ingredients . The dough and sauce that you buy weigh 130 ounces all together.
1. How many ounces of dough did you buy?
2. How many ounces of sauce did you buy?
3. Num. Guest 0ω0
Worth 10 points . . .

Answers

ounces of dough: 65
ounces of sauce: 66
number of guests: 13

65 66 13 double check to make sure

please help me, please I need a lot of help me is failing

Answers

I worked up and down btw
1. Yes
2. No
3. No
4. No
5. No
6. Yes

1. Yes
2. No
3. No
4. No
5. No
6. Yes

Q: choose the number equivalent to 7.1 A: 7.013 7.31 7.130 0.713

Answers

7.130

Hope this helps have a good day :)

Order the numbers least to greatest 2 1/3, 2.25, -3/2, -2 6/7

Answers

Answer:

z=49

6. 4th degree trinomial

7. Ayla

8. Both are incorrect

Step-by-step explanation:

-2 6/7, -3/2 ,2.25,2 1/3

Tyler’s math class found that it would take 2.5×10^8 dollar bills to cover a square mile area. The surface area of the United States is about 3.8×10^6 square miles. About how many dollar bills are needed to cover the United States?

6.3×10^14

9.5×10^14

6.3×10^48

9.5×10^48

Answers

Answer:

9.5×10^14

Step-by-step explanation:

The number of dollar bills are needed to cover the United States, when 2.5×10^8 dollar bills to cover a square mile area is 9.5×10^¹⁴.

What is the exponent power with base 10?

To write the big number in short form, we write them in the positive power of 10.

To write the very small number, we write them in the negative power of 10.

Tyler’s math class found that it would take 2.5×10^8 dollar bills to cover a square mile area.

The surface area of the United States is about 3.8×10^6 square miles.

To find the number of dollar bills are needed to cover the United States, we have to multiply 3.8×10^6 square miles with 2.5×10^8 dollar bills.

Let suppose it needed n dollar bills. Thus,

[tex]n=3.8\times10^6\times2.5\times10^8\\n=3.8\times2.5\times10^6\times10^8[/tex]

When the base is same in multiplication operation, add the power. Thus,

[tex]n=3.8\times2.5\times10^6\times10^8\\n=3.8\times2.5\times10^{6+8}\\n=9.5\times10^{14}[/tex]

Thus, the number of dollar bills are needed to cover the United States, when 2.5×10^8 dollar bills to cover a square mile area is 9.5×10^¹⁴.

Learn more about the exponents with base 10 here;

https://brainly.com/question/18324331

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can u plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me

Answers

Answer:

+90°

p(x,y,)=p'(-y,x)

-90°

p(x,y)=p'(y,-x)

180°

p(x,y)=p'(-x,-y)

A 90° counterclockwise rotation about the origin and then a 180° rotation about the origin = a 90° clockwise rotation about the origin
A reflection across the x-axis and then a reflection across the y-axis = A 180° rotation about the origin
A 90° clockwise rotation about the origin and then a rotation 180° about the origin = A 90° counterclockwise rotation about the origin

Solve the equation.

Two-thirds x = negative one-half x + 5
I WANNA SEE THE MATH PLZ
What is the first step to isolate the variable term on one side of the equation?
i know the awnser

Answers

So basically you need to do 2/3x+1/2x=5 then you need to add the Xs so convert to 6 which would be 4/6x plus 3/6x = 9/6x then you have 9/6x = 5 then sub which becomes x = 5 times 6/9 x=30/9

Can someone please help me !!!

Answers

1: no solution
2: one solution
3: infinite solutions

1 no solution
2 one solution
3 infinite solutions

-3,-2,0,3x
16,11,1,-14
is this a fuction
yes or no
is this porpotnial
yes or no.
how do you know

Answers

Answer:

Yes

Step-by-step explanation:

Its because nun of the numbers repeat so therefore it is porpotnial

help ASAP !!!!!!!!!!!!!!!!!!

Answers

Answer: if it’s negative then it would be 3 over 5 and then just put the little negative line next to the fraction line

But if it’s positive which it looks like it is then it would just be 3 over 5 with no negative line next to the fraction line. Good luck!

What’s 12 divided by 8? (Not for a quiz or test, just curious.)

Answers

Answer:

3\2

Step-by-step explanation:

12 ÷ by 8 nothing more nothing less

Answer:

1.5

Step-by-step explanation:

12 divided by 8 is 1 1/2 or 1.5

help idk what is this

Answers

The answer is 12 because 9+3 is 12

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Rational function / Adding Please draw steps and show answer

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Rational function / Adding

Please draw steps and show answer