i need help to solve this please

The sum of the rational expression is (4x²+14x)/ (x²+6x+8)

A rational expression is an expression that is the ratio of two polynomials. For example, the expression (x^2 + 2x + 1) / (x + 1) is a rational expression. The numerator and denominator can have different degrees and the expression can be simplified if there is a common factor.

To find the sum of the rational expression 3x/(x+2) + x/(x+4). First, find the LCM of (x+2) and (x+4), which is (x+2)(x+4):

3x/(x+2) + x/(x+4) = [3x(x+4) + x(x+2)] / (x+2)(x+4)

                             = [3x²+12x + x²+2x] / (x²+4x+2x+8)  

                             = (4x²+14x)/ (x²+6x+8)

Learn more about rational expression on:

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Answer:

P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Step-by-step explanation:

Given expression:

     Boyle's law:

             P₁ V₁   = P₂ V₂

Problem is to find P₂;

Solution:

              P₁ V₁   = P₂ V₂

 To solve this problem, multiply both sides by [tex]\frac{1}{V_{2} }[/tex];

   P₁ V₁  x   [tex]\frac{1}{V_{2} }[/tex]; = P₂ V₂  x  [tex]\frac{1}{V_{2} }[/tex];

     [tex]\frac{1}{V_{2} }[/tex] cancels out V₂ on the right hand side;

              P₂  = [tex]\frac{P_{1} V_{1} }{V_{2} }[/tex]  

Answer: x=1/4y + -3/4

Step-by-step explanation:

Answer:

234500000020000000000000000

Step-by-step explanation:

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

Answer:

solution:7c+5

Answer:  HCF and LCM of two numbers can be same only if two numbers are equal. Hence their difference will be zero

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

it just is

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

[tex]\displaystyle\frac{a}{26}=17.9[/tex]

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]

Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]

[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]

Therefore, the value of f is 80.6.

Answer:

f = 80.6

Step-by-step explanation:

Multiply both sides by 13.

f /13 =6.2

( f /13 )*(13)=(6.2)*(13)

f = 80.6

Answer:

your friend is wrong

Step-by-step explanation:

There is a theorem in geometry called the Exterior Angle Theorem which was developed by Euclid (Greek mathematician that lived in Alexandria around 300 B.C.) that states that the exterior angle of a triangle will always equal the sum of the 2 nonadjacent interior angles.

If you look at the attached image, °d = °a + °c

Answer:

20 hours

Step-by-step explanation:

400/20 is 20 which means to bake 400 cakes, he needs 20 hrs

Answer:

4x

Step-by-step explanation:

-3x + 7x

(-3 + 7)x

4x

Answer:

4x

Step-by-step explanation:

to make it easier, remove the x:

-3+7

Add:

4

Put the X back:

4x

This method will not always work for every problem.

Answer:

the answer is a

Step-by-step explanation:

The area of a circle is PI x r^2

25PI = PI x r^2

Divide both sides by PI:

25 = r^2

Take the square root of both sides:

Radius = 5 inches.

Answer:

5 is the radius.

Step-by-step explanation:

Since the formula for area in a circle is [tex]\pi r^{2}[/tex], we can substitute 25 for r squared.

Since 25 is equal to r squared, it means that r is equal to 5.

5 is the radius.

#teamtrees #WAP (Water And Plant)

the answer is -1/3 y-incercept= -1

Answer:

The first one

Step-by-step explanation:

It’s y intercept is 1 and the slope is 1/3 because it goes up one and to the left 3 . I know it’s negative because it’s going down to the right.

Answer:

Two thirds of a bag.

Step-by-step explanation:

1/2 * 2 = 1

1/3 * 2 = 2/3

Hope this helped!

1b think

I am not sure

Answer:

-3 = -v + 7

-3 - 7 = -v

3+7 = -v

-10 = -v

10 = v

Step-by-step explanation:

this is the answer i got, using basic algebra...

i hope this helps....

have a great day ahead :)

Answer:

v = 10

Step-by-step explanation:

[tex]-3=-v+7\\\\-v+7=-3\\\\-v+7-7=-3-7\\\\-v=-10\\\\\frac{-v=-10}{-1}\\\\ \boxed{v=10}[/tex]

Hope this helps.

Answer:

A

Step-by-step explanation:

ok so pretend the 2.00 was just 2 so whats 8 divided by 2? 4 right so if we test that witht he other problems its the same so its A

Hope this helps!!!!     :D

Answer:

B. $5.94

Step-by-step explanation:

Answer:

BL = 2

Step-by-step explanation:

Given:

AL = 3

AC = 10

BC = 9

AL = AM = 3 (tangents drawn form am external point)

CM = AC - AM

CM = 10 - 3

CM = 7

CM = CN = 7 (tangents drawn form am external point)

BN = BC - CN

BN = 9 - 7

BN = 2

BN = BL = 2 (tangents drawn form am external point).

BL = 2

Answer:

m=243/4 when v=9.

Step-by-step explanation:

We know that when y varies directly with x², the formula of direct proportion is

where 'k' is the constant of variation.

so

As m varies directly with v², and m=3 when v=2

m=kv²

k=m/v²

 = 3/(2)²

  =3/4

Hence, k=3/4

so when v=9 then the expression becomes

m=kv²

substituting v=9 and k=3/4

m= 3/4(9)²

   =3/4 × 81

    =243/4

Therefore, m=243/4 when v=9.

Answer: I’m sorry I cannot explain this any other way because I can not see the answers but —> If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. ✨

Step-by-step explanation: hope it help you later on!

Answer:

Y= -4x + 3

Step-by-step explanation: because the x value goes with mx, and the y value goes with b. :)

Answer:

39

Step-by-step explanation:

Setting up your problem and solving:

In the question it says the ratio is students to professors right? So 18 to 1.

Write that down: Students to Professors is 18 to 1.

We know that there are 702 students in that college correct?

Write that down: 702 students in the college

We are trying to find how many professors there are so...let's do that.

Number 1:

Set your equation: have your fraction bar and equal sign like this: --- = ---

On the top, we have 1 so... 1/? = ?/?

On the other top we have the x...: 1/? = x/?

Why? Because we do not know the total of professors there are so that is X.

We put the number 1 on the other side because we know that there is only 1 out of 18 professors to students.

Number 2:

On the bottom, we will have 18...: 1/18 = x/?

On the other bottom we have 702...: 1/18 = x/702

Why? Because we know that there is a total number of 18 to 1 students on the ratio and a real total of 702 students.

Number 3.

Now you have your equation set up: 1/18 = x/702

The next step is yours: cross multiple, divide on the bottom or top or find the comparison.

I'm going to divide by the bottom okay? so.. 18/702

Set that up.

(702/18)

702/18 is 39!

SO in the end there is a total of 39 professors!

'x=39'

Hoped this helped! :)

Answer:

1. A. All fourth graders in Michigan.

2. C. The students who were in the 60 third-grade classrooms that used each technique.

3. C. 52% of all fourth graders in Michigan cannot subtract from zero.

4. d. both a & b.

5. D. Percentage of children who passed the objective subtraction from zero.

6. C. Two new techniques for teaching subtraction from zero.

Step-by-step explanation:

1. We can make this conclusion since an assessment test often comes after students undergo the required lessons (that is using taught the new techniques, so when they entered the fourth grade the assessment would be taken to determine their performance. Hence, the population of the study is the entire fourth-graders in Michigan.

2. The sample includes only students who made up the "60 third-grade classrooms that used each technique". In other words, they were the subject of the study.

3. Remember, a parameter often refers to numbers that summarize the entire data of a particular population. So we could say, that 52% of all fourth graders in Michigan that cannot subtract from zero make up the parameter.

4. A statistic is usually any resulting values gotten from a sample. Hence, both statements a and b are statistics from the sample.

5. Remember, the dependent variable is a variable that can be influenced by another variable; the independent variable. In other words, the percentage of children who passed the objective subtraction from zero could be affected by the independent variable.

6. The independent variable is the variable that could influence the dependent variable. In other words, the two new techniques for teaching subtraction from zero could influence "the percentage of children who passed the objective subtraction from zero."  

Answer:

dcc

Step-by-step explanation:

aajajaja

Answer:

40, 80, 120

Step-by-step explanation:

0, 40, 80, 120, 160, 200

+40

Answer:

0, 40, 80, 120, 160, 200

Step-by-step explanation:

The numbers are decreasing by 40. 200-160=40. Therefore, we need to subtract 40 each time from every number we get.

160-40=120

120-40=80

80-40=40

Now, plug the numbers into the sequence. It should now look like this:

0, 40, 80, 120, 160, 200

I hope this helps you out!! Have a great day, and if you need any more help, let me know (✿◠‿◠)

Answer:

Angle of depression = 3.37°

Step-by-step explanation:

We are told that A plane flies at an altitude of 3.5 kilometers and then starts to descend when it is 60

kilometers from the runway.

I've attached an image of a triangle depicting this question.

From the triangle, we can find the angle of depression θ from trigonometric ratio since it's a right angle triangle.

Thus;

3.5/60 = tan θ

tan θ = 0.0583

θ = tan^(-1) 0.0583

θ = 3.37°

Answer:

shut up b

sorry gad will elp you

Step-by-step explanation: