Add the expression. Write the sum in simplest form 3 /x+2 + x+1 / x^2 + 5x + 6

Answers

Answer 1

Answer: ?

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

[tex]\frac{3}{x+2} +\frac{x+1}{x^2+5x+6} \\=\frac{3}{x+2} +\frac{x+1}{x^2+3x+2x+6} \\=\frac{3}{x+2} +\frac{x+1}{x(x+3)+2(x+3)} \\=\frac{3}{x+2} +\frac{x+1}{(x+3)(x+2)} \\=\frac{3(x+3)+x+1}{(x+3)(x+2)} \\=\frac{3x+9+x+1}{(x+3)(x+2)} \\=\frac{4x+10}{(x+3)(x+2)} \\=\frac{4x+10}{x^2+5x+6}[/tex]

[tex]=\frac{2(2x+5)}{(x+3)(x+2)}[/tex]


Related Questions

Solve the system by substitution.
-9x – 2y = -44
8x – 3 = y

Answers

Answer:

x = 2, y = 13

(2, 13)

Step-by-step explanation:

hope this helps!

m = − 6 ; n = 2 ; p = 4 − 3 m 2 + 4 n − p

Answers

Answer:

- 104

Step-by-step explanation:

Assuming the question is to evaluate the expression.

Given

- 3m² + 4n - p ← substitute given values for m, n and p

= - 3(- 6)² + 4(2) - 4

= - 3(36) + 8 - 4

= - 108 + 4

= - 104

A circle is centered at (5, −9) and has a radius of 12. Which of the following is the equation for this circle?

Answers

Answer:

[tex]\boxed {\boxed {\sf (x-5)^2+(y+9)^2=144}}[/tex]

Step-by-step explanation:

The standard form for the equation of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

where (h,k)  is the center of the circle and r is the radius.

For this circle, the center is (5, -9) and the radius is 12. Therefore:

[tex]h= 5 \\k= -9 \\r=12[/tex]

Substitute the values into the formula.

[tex](x-5)^2+(y-(-9))^2=(12)^2[/tex]

Distrubute the -1 into the -9.

-(-9)= -1*-9= 9

[tex](x-5)^2+(y+9)^2=(12)^2[/tex]

Solve the exponent.

(12)²= 12*12=144

[tex](x-5)^2+(y+9)^2=144[/tex]

The equation for the circle with a center (5,-9) and radius of 12 is (x-5)²+(y+9)²=144

Based on the calculations, the equation of this circle in standard form is equal to (x - 5)² +(y + 9)² = 144.

The equation of a circle.

Mathematically, the standard form of an equation of a circle is given by;

(x - h)² +(y - k)² = r²

Where:

h and k represents the coordinates at the center.r is the radius of a circle.

Given the following data:

Coordinates (h, k) = (5, -9).Radius = 12.

Substituting the given parameters into the formula, we have;

(x - 5)² +(y - (-9))² = 12²

(x - 5)² +(y + 9)² = 144

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Plz help I am timed : (
Christian earned a 70, 89, 91, and 82 on his last four
spelling tests. What was Christian's average for these four
tests?
OA) 81
OB) 82
OC) 83
OD) 84

Answers

Answer:

its c or 83 bc you add them all together then divide by the amount of grades he has in total

answer: (C) 83

explanation: 70+89+91+82= 332/4(all together) would be 83

Combine these radicals.
√27-√3
24
2/3
c c
-2/3
o
-342

(I know it’s no C)

Answers

Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{27}[/tex] = [tex]\sqrt{9}[/tex][tex]\sqrt{3}[/tex] = 3[tex]\sqrt{3}[/tex]

3[tex]\sqrt{3}[/tex] - 1[tex]\sqrt{3}[/tex] = 2[tex]\sqrt{3}[/tex]

Answer:

B i got it right trust me i got 100

Step-by-step explanation:

WILL MARK BRAINLYIST

Answers

Answer:

what's the question

Step-by-step explanation:

lol but u could mark me brainlyist

Answer:

.....................................

Step-by-step explanation:

50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help

Answers

Answer:348

Step-by-step explanation:

For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.

Answer:

[tex] 1,205.8\: {ft}^{3} [/tex]

Step-by-step explanation:

Given object is made up of cylindrical and conical parts.

Fir cylindrical part:

r = 16/2 = 8 ft

h = 4 ft

For conical part:

r = 16/2 = 8 ft

h = 6 ft

Volume of the object = Volume of cylinderical part + Volume of the conical part

[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]

Ivan has 6 times as many blue beads as red beads. he has 49 red and blue beads in all. how many blue beads does Ivan have​

Answers

Answer:

Ivan has 42 blue beads.

Step-by-step explanation:

We need to find how many blue beads Ivan has.

Blue beads = 6 times as many as red beans

b = 6r

r + b = 49

r + (6r) = 49

7r = 49

Divide both sides by seven to isolate r

r = 7

b = 6(7)

b = 42

Identify the term(s), coefficient(s), and constant(s) in the expression 9+4x^2+x/3.

Answers

Answer:

Terms: x3, 4x2, 9. Coefficients: 1, 4. Constants: 9.

Step-by-step explanation:

Answer:

Terms: addition, division, multiplication

Constants: 9 and 2

Coefficients: 4 and 3

I think these are the right answers, I am so sorry if they are wrong!!

What is the lim as x approaches pi [integral 1+tan t from pi to x]/(pi sin x)

Answers

Apply l'Hopital's rule:

[tex]\displaystyle\lim_{x\to\pi}\frac{\displaystyle\int_\pi^x (1+\tan(t))\,\mathrm dt}{\pi\sin(x)}=\lim_{x\to\pi}\frac{1+\tan(x)}{\pi\cos(x)}=\frac{1+\tan(\pi)}{\pi\cos(\pi)}=\boxed{-\frac1\pi}[/tex]

where

[tex]\displaystyle\frac{\mathrm d}{\mathrm dx}\left[\int_\pi^x(1+\tan(t))\,\mathrm dt\right]=1+\tan(x)[/tex]

follows from the fundamental theorem of calculus.

What is the equivalent of 5f + 7f

Answers

Answer:

12 f

Step-by-step explanation:

Evaluate the following logarithm 3/4log16

Answers

Log(8) or 0.9038
Hope this helps
i got the same as the person above!!

(3 x 10^6) + (2.1 x 10^5) + (1.6 x 10^4) / (2 x 10^2)

Answers

3210080 should be your answer

What is the value of a2 + 36 2c when a = 3, b = 8, and c = 2?​

Answers

Answer: 21 +4c

Step-by-step explanation:

Answer:

what is in between 36 and 2c?

3 : 7 = 300 : x fill in the x for the equivalent ratios

Answers

Answer: 300:700

Step-by-step explanation:

If you have a 3:7 ratio and you multiply the 3 by 100, you would also have to multiply the 7 by 100, giving you a 300:700 ratio. Plz note I could be wrong but I believe that is the answer you are looking for

Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >

Answers

Answer: 2 rays that meet an endpoint

please help, thanks :)​

Answers

I think its A OR C I just think

Answer:

D :)

Step-by-step explanation:

Find the sum of 2x2 – 8x — 6 and 9x2 – 8.
Answer:
Submit Answer

Answers

Answer:f

( x ) = x ,  g ( x ) = x 3 − 1 f ( x ) = x 4 + x 3 − 11 x 2 − 5 x + 30 ,  g ( x ) = 2 x − 2 f ( x ) = x 2 ,  g ( x ) = 7 x − 1

in short ways the answer is  7 x − 1

Hence , the sum is [tex]11x^2-8x-14[/tex].

WHAT IS A POLYNOMIAL

In mathematics, a polynomial is an expression consisting of indeterminates (also called variables) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

How to Solve?

Given , we need to add [tex]2x^2-8x-6[/tex] and [tex]9x^2-8[/tex].

So, we can write it as :

[tex]2x^2 -8x-6+9x^2-8[/tex]

Writing like terms together:

[tex]= 2x^2+9x^2-8x-6-8[/tex]

[tex]=11x^2-8x-14[/tex]

Hence , the answer is [tex]11x^2-8x-14[/tex].

Learn more about Algebraic expressions :

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In his 2011 State of the Union Address, President Barack Obama said:
"To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet. Our infrastructure used to be the best, but our lead has slipped. The jobs created by the transcontinental railroad & the Interstate Highway System didn't just come from laying down track or pavement. They came from businesses that opened near a town's new train station or the new off-ramp.

We've begun rebuilding for the 21st century. And tonight, I'm proposing that we redouble those efforts. We'll put more Americans to work repairing crumbling roads and bridges. Within 25 years, our goal is to give 80% of Americans access to high-speed rail. Within the next five years, we'll make it possible for businesses to deploy the next generation of high-speed wireless coverage to 98% of all Americans. This isn't just about faster Internet or fewer dropped calls. It's about connecting every part of America to the digital age."

Is this excerpt from President Obama’s speech an example of argument or persuasion? Provide at least two reasons to support your answer. Answer in complete sentences.

please help 100points!!!!
And I will make brainiest
only if there is a good explanation.

Answers

Answer: This is a persuasion. Where he says "To attract new businesses to our shores, we need the fastest, most reliable ways to move people, goods, and information—from high-speed rail to high-speed Internet." He is stating the problem. Also where he says "I'm proposing that we redouble those efforts." he is prompting a solution to the problem. Furthurmore, he’s stating the problem and teaching you how to figure out the solution.

Step-by-step explanation:

Read Out
Loud
Angus cut his neighbor's lawns for the summer. By the end, he
had $240 in his lawn cutting bank account after paying a total
of $60 for gas.
He earned $6 for every lawn he mowed in his neighborhood.
How many yards did he mow?
Select the expression that represents the problem above
a) (240 - 60) + 6
b) 240 + 60 x 6
c) 240 +60 - 6
d) (240 + 60) + 6
2
A
5

Answers

Answer:

pov: im getting free points

Step-by-step explanation:

Two sides of a triangle have the same length. The third side measures 6 m less than twice the common length. The perimeter of the triangle is 14 m. What are the lengths of the three​ sides?
What is the length of the two sides that have the same​ length?

Answers

Answer: 5

Step-by-step explanation:

x = common side length

2x + (2x - 6) = 14

4x - 6 = 14

4x = 20

x = 5

I will give a brainlist if someone could answer this problem with a explanation:)

Answers

Answer:

Step-by-step explanation:

The two base angles in each triangle are equal. (The triangle is isoceles and the property used is angles opposite equal sides are equal).

Now the tricky part. The peak angles are also equal. That's because both peak angles are made equal by Peak angle + 2*base angle = 180

Peak angle = 180 - 2*base angle

Therefore the triangles are congruent by SAS.  

I suppose you could get them equal by taking one of the base angles (all 4 are equal to each other) and the peak angles and claim equality by ASA, but it seems a little bit tortuous to me.

what is m∠1 if m∠7 = 60°?

Answers

Step-by-step explanation:

95vxgr Tu fjvgzgvkvgshvysrvv

PLEASE HELP IT IS DUE TODAY!!Alicia drew a map of Texas. in the scale Alicia used for the map 1/2 inch represents 20 miles. What is the distance between two cities on the map of the actual between the two cities is 360 miles please help me :( Thank you

Answers

Answer:

9in on the map

Step-by-step explanation:

1/2in=20m or 1in=40m

360/40=9

9in

Olivia has a shoe box in the shape of a rectangular prism. She decorates 4 faces of the box, leaving the top and the bottom without decorations. The unshaded parts of the model and the diagram below the parts that she decorates. What is the total area that Olivia decorates?

Answers

Answer:

440

Step-by-step explanation:

Taking the test!

Good luck, buddy!

Answer:

B

Step-by-step explanation: 400 or 4ft x 10ft

Given the test result, the probability that carbon emissions from the factory are actually within the permissible level is
.

Answers

Answer: 0.9132

Step-by-step explanation: PLATO

The shadow of a 60 foot pole is a 100 feet long. What is the angle of evaluation from the end of the shadow to the top of the pole?

Answers

Answer:

The angle is approximately [tex]31^{o}[/tex].

Step-by-step explanation:

The description i the given question can be represented with the sides of a right angled triangle.

Applying the appropriate trigonometric function, we have;

Tan θ = [tex]\frac{opposite}{adjacent}[/tex]

In the question, opposite side = 60 feet, and adjacent side = 100 feet.

Tan θ = [tex]\frac{60}{100}[/tex]

         = 0.6

θ = [tex]Tan^{-1}[/tex] 0.6

  = [tex]30.964^{o}[/tex]

θ = [tex]31^{o}[/tex]

The angle of elevation from the end of the shadow to the top of the pole is [tex]31^{o}[/tex].

what is the circumference of a 12mm circle

Answers

Answer:

The circumference is 37.7 mm.

A flower garden has 3 red rose bushes, 2 yellow rose bushes, and 5 white
rose bushes. What is the ratio of yellow rose bushes to the total number
of rose bushes?
A 1:5
B. 1:4
C. 2:5
D. 2:4

Answers

The ratio of yellow to total is 2 to 8, or 1:4 if you divide both by 2. So the answer is B.

Bryan has a number cube and
the spinner shown. What is
the probability of rolling a
prime number and spinning
yellow?
01/12
01/8

Answers

Answer:

1/8

Step-by-step explanation:

That's the same assignment I have and you just have to think it through mate.

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