Adding/Subtracting Rational Expressions ​

Adding/Subtracting Rational Expressions

Answers

Answer 1

9514 1404 393

Answer:

  (4x^2 +21x +18)/(3x^2 +34x -24)

Step-by-step explanation:

I find it helpful to keep in mind the form ...

  a/b + c/d = (ad +bc)/(bd)

When we apply that to this case, we get ...

  [tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]


Related Questions

Simplify 5^2•5^4
A. 5•8
B. 5^8
C. 5^2
D. 5^6

Answers

D.5^6 you add the 4 and the 2
add the exponents which leaves you D. 5^6

598x 10 reminder of 3

Answers

Answer:

you wrote that a bit wrong

Step-by-step explanation:

Find each percent increase. Round to the nearest percent

Answers

Answer:

1. 15 to 21 = 21 - 15 / 15 = 0.4*100% = 40%

2. 12 teachers to 48 teachers = 48 - 12/48 = 0.75 * 100% = 75%

3. 80 pencil to 120 pencil = 120 - 80 / 80 = 0.5*100% = 50%

4. 40 cans to 70 cans = 70 - 40 / 70 = 0.43 * 100% = 43%

According to a study published in the New England Journal of Medicine, overweight people on low-carbohydrate and Mediterranean diets lost more weight and got greater cardiovascular benefits than people on a conventional low-fat diet (The Boston Globe, July 17, 2008). A nutritionist wishes to verify these results and follows 30 dieters on the low-carbohydrate and Mediterranean diets and 30 dieters on the low-fat diet. These data (measured in pounds) can be found on the text website, labeled Different Diets. Let Low-carb or Mediterranean and Low-fat diets represent populations 1 and 2, respectively. Use Table 2.
Low-carb Low-carb/
Mediterrean Diets Low- Fat diet Mediterreand diet Low-fat Diet
9.5 6.5 6.8 5.9
8.1 5.8 9.1 6.9
10.4 9.9 9.4 9.1
11.9 5.1 10.2 8.0
11.8 8.0 9.5 8.9
12.6 6.3 9.5 3.4
6.7 6.3 9.4 4.6
9.6 4.4 12.0 6.2
11.6 5.7 9.9 4.6
8.4 5.9 9.7 6.7
9.0 6.8 9.2 4.6
7.5 5.1 13.0 7.1
7.2 6.3 11.3 11.0
8.5 5.5 13.6 4.5
8.8 5.5 9.0 3.9
a.Set up the hypotheses to test the claim that the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 > 0
H0: ?1 ? ?2 = 0; HA: ?1 ? ?2 ? 0
H0: ?1 ? ?2 ? 0; HA: ?1 ? ?2 < 0
b-1.Using the appropriate commands in Excel, find the value of the test statistic. Assume that the population variances are equal and that the test is conducted at the 5% significance level. (Round your answer to 2 decimal places.)
Test statistic
b-2. What is the critical value and the rejection rule?
Reject H0 if tdf < -1.672.
Reject H0 if tdf < -2.002.
Reject H0 if tdf > 2.002.
Reject H0 if tdf > 1.672.
c. At the 5% significance level, can the nutritionist conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet?
No
Yes
Low-carb/Mediterrean Diets Low-fat Diet
9.5 6.5
8.1 5.8
10.4 9.9
11.9 5.1
11.8 8
12.6 6.3
6.7 6.3
9.6 4.4
11.6 5.7
8.4 5.9
9 6.8
7.5 5.1
7.2 6.3
8.5 5.5
8.8 5.5
6.8 5.9
9.1 6.9
9.4 9.1
10. 2 8
9.5 8.9
9.5 3.4
9.4 4.6
12 6.2
9.9 4.6
9.7 6.7
9.2 4.6
13 7.1
11.3 11
13.6 4.5
9 3.9

Answers

Answer:

Explained below.

Step-by-step explanation:

A two-sample test is to be performed to determine whether the mean weight loss for those on low-carbohydrate or Mediterranean diets is greater than the mean weight loss for those on a conventional low-fat diet.

(a)

The hypothesis can be defined as follows:

H₀: μ₁ - μ₂ ≤ 0 vs. Hₐ: μ₁ - μ₂ > 0

(b-1)

Use Excel to perform the t test for independent samples.

The output is attached below.

The test statistic value is, t = 7.58.

(b-2)

The degrees of freedom is, df = 58.

The critical value is, t₅₈ = 1.672.

The rejection region is:

Rejected H₀ if t > t₅₈ = 1.672.

(c)

Decision:

t = 7.58 > t₅₈ = 1.672

The null hypothesis will be rejected at 5% level of significance.

Thus, the nutritionist can conclude that overweight people on low-carbohydrate or Mediterranean diets lost more weight than people on a conventional low-fat diet.

The correct option is Yes.

I’m confused can someone help?!

Answers

Answer:

C: up two over 1

Space space space space

Answers

Answer:

Step-by-step explanation:

Comma comma comma comma

Answer:

space is scape

Step-by-step explanation:

Nathan received a package for his birthday the package wait $5,910,000 milligrams select the conversions that are equivalent to 5,910,000. Mark all that apply.
59,100 kilograms
59.1 centigrams
591,000 centigrams
5.91 kilograms

Answers

Answer:

5.91 kilograms

591,000 centigrams

Step-by-step explanation:

These two are WRONG:

59,100 kilograms

59.1 centigrams

8^(1/2)+16^(1/4)-12^(1/2)+81^(1/4) and 〖8∙2〗^(1/2)-24^(1/4)-3^(1/2)+128^(1/4)

Answers

Answer:

Im too gucci. 88.

Step-by-step explanation:

The difference between the areas of the figures is less than 4.

An absolute value inequality that represents this situation is ___

The solution of the inequality is ___

Thank you!!!!!!!!

Answers

Answer:

We know that:

If T = area of the triangle

and R = area of the rectangle:

I T - RI < 4.

Now, we know that:

T = 8*6/2 = 8*3 = 24

R = 4*(x - 4) = 4*x - 16

Then replacing those values, we can write:

I24 - (4*x - 16)I < 4

I40 - 4*xI < 4

Now let's solve it:

First we aim for the first value that is not a solutions, this is when:

I40 - 4*xI = 4

we can write this as:

40 - 4*x = +-4

The first extreme is:

40 - 4*x = +4

x = (40 - 4)/4 = 9

The other extreme is:

40 - 4*x = -4

x = (40 + 4)/4 = 11.

Then the set of solutions is: S = (9, 11)

find the unkown angle of a triangle​

Answers

Step-by-step explanation:

Find

Triangle A(because there are two triangles)

take 28°+39°=67°

an angle is 180° in total so you take

180°-67°=113°

Angle x = 113°

Angle y = 67°

Triangle B

64°+67° = 131°

180°-131°=49°

Angle z =49°

9.215
627
How to work the problem

Answers

Answer:

multiply

Step-by-step explanation:

Multiply 9.215 times 627 I think I’m not good at math lol

Which expression is equivalent to one over three p + 15?

A.one over three(p + 45)
B.one over three(p + 5)
C.3(p + 45)
D.3(p + 5)

Answers

Answer:

one over three(p + 5)

Step-by-step explanation:

we know that

the expression " one over "  is equivalent to

--------> expression A

and

 --------> expression B

substitute the expression B in the expression A

-----> one over three

Help ! I’ll mark you brainly

Answers

Answer:

There you go :)

Hope this helped you

<3

Red

What is the square root of 36?
A.4
B.6
C.8
D.10

Answers

Answer:

B 6

Step-by-step explanation:

because 6x6 is 36

Answer:

6

Step-by-step explanation:

6×6=36 bdhdgsjsbdbd

Ameera had $10.50 with her. She bought some pencils costing $2.50 each and some erasers costing $1.00 each. Could she buy 4 pencils and 3 erasers with the money she had?

Answers

Answer:

Step-by-step explanation:

yesterday,it's was negative 7 degrees Fahrenheit outside today, it is 14 degrees Fahrenheit warmer. Click on today's temperature

Answers

Answer:

It is 7 degrees.

Step-by-step explanation:

Hope this helps! Add -7 + 14= 7

Ms.banks walks at about 3 feet per second how many miles per day could she travel is she walked without taking a break?

Answers

Answer:

About 49.09 miles a day .

Step-by-step explanation:

If n // m, which of the following statements are true? Select all that apply.
B
2.
3
200
А
60°
A m2 2 = 60°
m
B. m23 = 100
Cm2 2 + m 24 = 80°
D. m2 2 + m23 = 80°

Answers

Answer:

A is answer

Step-by-step explanation:

please follow me

Answer:

B and C

Step-by-step explanation:

Since m and n are parallel, we can call the two lines extending from the point B transversals.

[tex]m\angle{1} = 60^\circ[/tex] because they are vertical angles

[tex]m\angle{2} = 20^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{4} = 60^\circ[/tex] from the corresponding angles theorem.

[tex]m\angle{3} = 100^\circ[/tex] because angle 2 and 4 sum to 80, and [tex]m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ[/tex] because it is a straight angle.

From this, we can see which ones are true.

A is false because angle 2 is 20 degrees.

B is true because angle 3 is 100 degrees.

C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.

D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.

Therefore, only B and C are true.

-8= 3-5(x+6) solving algebraicaily​

Answers

Let's solve your equation step by step

-8=3-5(x+6)

Step 1: simplify both sides of the equation

-8=3-5(x+6)

-8=3+(-5)(x)+(-5(6) (distribute)

-8=3+-5x+-30

-8=(-5x)+(3+-30) (combine like terms)

-8=-5x+-27

-8=-5x-27

Step 2: flip the equation

-5x-27=-8

Step 3: add 27 to both sides

-5x-27+27=-8+27

-5x=19

Step 4: Divide both sides by -5

-5x/-5 = 19/-5

Answer : x= -19/5

Answer:

x = -19/5

Step-by-step explanation:

-8 = 3-5(x+6)

Distribute.

-8 = 3-5x-30

Combine like terms.

-8 = -27-5x

Add 27 on both sides.

-8 = -27-5x

+27   +27

19 = -5x

Divide by -5 on both sides.

19 = -5x

/-5   /-5

-19/5 = x

Hope this helps you a little bit! Sorry if it get confusing...have an amazing day c:

Four years ago, you started a job with an annual salary of $40,000. At the end of each year on the job, you received a raise of 4.8%. The table shows your salary after each of your four annual raises.

Number of Years
Annual Salary
1
$41,920.00
2
$43,932.16
3
$46,040.90
4
$48,250.87

Answers

Answer:

the third one

Step-by-step explanation:

what is the slope if my two points are 3,1 and 3,4?

Answers

The slope would be 9.

A triangle is plotted on the coordinate plane. Each of its vertices undergoes the same transformation. Which rule below represents a transformation that does NOT preserve the length of the sides of the triangle?

A
(x, y) --> (-x + 9, y - 8)
B
(x, y) --> (-x + 9, -y - 8)
C
(x, y) --> (x + 4, y + 6)
D
(x, y) --> (5x - 4, y + 2)

Answers

Answer:

Step-by-step explanation:

D

What is the mean score what is the median of the score brookewood medical center

Answers

Step-by-step explanation:

The mean of a set a score is simply the average score.

  To find the mean, simply sum the individual scores and divide by the total number of scores;

  Mean of a  set of score  = [tex]\frac{Total scores}{Number of scores}[/tex]

Another way to find the mean is using:

   Mean  = [tex]\frac{summation of all f(x)}{summation of all the frequency}[/tex]

Multiply the frequency of each score with the score and divide by the sum of all of the frequency.

2. The median is the middle score;

 Arrange the data set from the lowest to the highest, the median is the one that falls in the middle.

If there are two numbers find their sum and divide by 2.

Help please posted this twice immediate help right now

Answers

Answer:

(-3, 4)

Step-by-step explanation:

Given equation of the line is,

y - 4 = -2(x + 3)

Any point (x, y) lying on this line will satisfy the equation by substituting x and y values.

If a point (-3, a) lies on this line,

By substituting x and y coordinates in the equation,

a - 4 = -2(-3 + 3)

a - 4 = -2(0)

a - 4 = 0

a - 4 + 4 = 0 + 4

a = 4

Therefore, ordered pair shown in the picture will be,

(-3, 4)

Answer: (-3, 4)

Step-by-step explanation:

PLEASE HELP ME WITH THIS MATHS QUESTIONS!!!
WILL GIVE BRAINLIEST!!!

Answers

Answer:

a) y = (x+2)/3

b) 5

Step-by-step explanation:

f^-1(x) means "f inverse of x". To find the inverse, we simply:

a ) f(x) = 3x -2

    y = 3x - 2 --> because f(x) is the same thing as y

    x = 3y - 2 --> to find the inverse, we simply just switch x and y

    x + 2 = 3y

    y = (x+2)/3

b) f^-1(13)

   f^-1(13) = [((13) + 2)/3]

   f^-1(13) = (15)/3

   f^-1(13) = 5

6. When you barter, you must ________
in order to buy something.

Answers

Answer:

When you barter, you must trade it for something else in order to buy something.

Step-by-step explanation:

When you barter, you must  exchange in order to buy something.

What is barter?

Barter, the direct exchange of goods or services—without an intervening medium of exchange or money—either according to established rates of exchange or by bargaining. It is considered the oldest form of commerce.

Given: A person barters

Therefore he must trade it for something else (exchange) in order to buy something.

Hence, When you barter, you must  exchange in order to buy something.

Learn more about barter here:

https://brainly.com/question/14903216

#SPJ2

What is the correct answer on identify the error(s) in the proposed proof?

Answers

Answer:

correct i think

Step-by-step explanation:

What is the coefficient of 5a^2-7

Answers

The coefficient is 5

Answer: 5

Step-by-step explanation:

A coefficient is a number used to multiply a variable. in "5a" 5 is the coefficient.

Expression is equivalent to 179×44.

Answers

Answer: 7876

Step-by-step explanation: JUST MULTIPLY THE NUMBERS

USE SOCRACTIC IT WOULD REALLY HELP WITH QUESTIONS LIKE THIS

On the leeward side of the island of Oahu, in a small village, about 74% of the residents are of Hawaiian ancestry. Let n = 1, 2, 3, … represent the number of people you must meet until you encounter the first person of Hawaiian ancestry in the village. (a) Write out a formula for the probability distribution of the random variable n. (Enter a mathematical expression.) P(n) = (b) Compute the probabilities that n = 1, n = 2, and n = 3. (For each answer, enter a number. Round your answers to three decimal places.) P(1) = 0.740 P(2) = 0.192 P(3) = 0.050 (c) Compute the probability that n ≥ 4. Hint: P(n ≥ 4) = 1 − P(n = 1) − P(n = 2) − P(n = 3). (Enter a number. Round your answer to three decimal places.) 0.018 (d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry? Hint: Use μ for the geometric distribution and round. (Enter a number. Round your answer to the nearest whole number.) residents

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Probability distribution of a random variable n :

P(n) = (1 - p)^(n-1) * p

p = 0.74

P(n) = (1 - 0.74)^(n-1) * 0.74

P(n) = (0.74)0.26^n-1

Compute the probabilities that n = 1, n = 2, and n = 3.

n = 1

P(1) = (0.74)0.26^1-1

= 0.74 * 0.26^0

= 0.74

n = 2

P(2) = (0.74)0.26^2-1

= 0.74 * 0.26^1

= 0.74 * 0.26

= 0.192

n = 3

P(3) = (0.74)0.26^3-1

= 0.74 * 0.26^2

= 0.74 * 0.0676

= 0.050

Compute the probability that n ≥ 4.

P(n ≥ 4) = 1 - p(n ≤ 3)

p(n ≤ 3) ; n = 1, n = 2, n = 3

p(n = 1) = 0.74

p(n = 2) = 0.192

p(n = 3) = 0.050

P(n ≥ 4) = 1 - (0.74 + 0.192 + 0.050)

P(n ≥ 4) = 1 - 0.982

P(n ≥ 4) = 0.018

(d) What is the expected number of residents in the village you must meet before you encounter the first person of Hawaiian ancestry?

Expected number of residents (μ) :

μ = (1 - p) / p

p = 0.74

μ = (1 - 0.74) / 0.74

μ = 0.26 / 0.74

μ = 0.35

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