Assuming that no denominator equals zero, what is the simplest form of this expression?

Assuming That No Denominator Equals Zero, What Is The Simplest Form Of This Expression?

Answers

Answer 1

Answer:

The answer is D

Step-by-step explanation:

Answer 2

The simplified form of the algebraic expression  [tex]\frac{x+2}{x^{2} +5x+6} / \frac{3x+1}{x^{2} -9}\\[/tex]  is  [tex]\frac{x-3}{3x + 1}[/tex].

What is simplifying an algebraic expression?

Simplification of an algebraic expression can be defined as the process of writing an expression in the most efficient and compact form without affecting the value of the original expression.

[tex]= \frac{x+2}{x^{2} +5x+6} / \frac{3x+1}{x^{2} -9}\\ \\ = \frac{x+2}{x^{2} +5x+6} * \frac{x^{2} -9}{3x+1}[/tex]

Solving in parts,

[tex]=x^{2} +5x + 6\\\\= x^{2} + 2x + 3x + 6\\\\=x(x+2) + 3(x+2)\\\\=(x+2)(x+3)[/tex]

[tex]= x^{2} -9\\\\= x^{2} - 3^{2}\\ \\=(x - 3)(x + 3)[/tex]

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

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Related Questions

What equals 12 using 2 2 2 2

Answers

Answer:

The equation can't use any number that isn't 2 and the answer can only have 4 twos. They have to have a combination of addition, subtraction, multiplication, and division. Not all of them have to be used though.

Step-by-step explanation:

5+34+34+43+6734+456+45

Answers

Answer:7351

Step-by-step explanation:

Answer:

456566654

Step-by-step explanation:

What DIY tools do you use in math-riddle-and no protractors is not the word.

Answers

Answer:

Step-by-step explanation:

how the heck are we supposed to know this?????

Answer:

You use multiplyers

I need help, try to find x.

Answers

180-33= 147

This is due to parallel rule.

X= 147 degrees please like and brainiest if correct!
X=147


You have to subtract the angles
180-33=147

6) 3x + 19 = 7x - 5
What is the value of x?

Answers

Answer:

x=6

Step-by-step explanation:

3x+19=7x-5

First of all you have to group like terms

19+5=7x-3x

24 = 4x

4 4

6=x

The answer is x=6 it’s an easy algebra problem

Help please
What is the result of dividing x^3-4 by x+2?
(Dividing polynomials with long division)

Answers

Answer:

Step-by-step explanation:

There we go :))

Which expression represents a negative number? pls awnser fast.​

Answers

Answer:

YELLOW

Step-by-step explanation:

Just always keep this tip in mind:

A negative times a positive is a negative, and a negative times another negative cancels out to become a positive.

If there is an odd number of negatives multiplied together, the outcome will always be negative.

PLEASE HELP !! with solution needed!!

Answers

[tex] \looparrowright \sf13x + 2 = 4x + 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf13x - 4x + 2 = 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x + 2 = 38[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x = 38 - 2[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf9x = 36[/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = \dfrac{36}{9} [/tex]

[tex] \\ \\ [/tex]

[tex] \looparrowright \sf x = 4[/tex]

Answer:

x = 4

Step-by-step explanation:

[tex]13x + 2 = 4x + 38 \\ 13x - 4x = 38 - 2 \\ 9x = 36 \\ \frac{9x}{9} = \frac{36}{9} \\ x = 4 \\ [/tex]

An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal. A) At what rate is the plane gaining altitude? (Hint, the vertical component of velocity is the rate that the plane is gaining altitude). B). What is the horizontal component of velocity for the plane?.

Answers

The rate is the plane gaining altitude (y) is 300 m/sec and The horizontal component (x) of velocity for the plane is 400 m/sec.

What is trigonometry?

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

An experimental plane just after takeoff climbs with a speed of 500 km/h at an angle of 37 degrees with the horizontal.

A.  The rate is the plane gaining altitude (y) will be

[tex]\rm y = v * sin \theta\\\\y = 500 *sin 37\\\\y = 300 \ m/sec[/tex]

The rate is the plane gaining altitude (y) is 300 m/sec

B.  The horizontal component (x) of velocity for the plane will be

[tex]\rm x = v * cos \theta\\\\x= 500 *cos 37\\\\x = 400 \ m/sec[/tex]

The horizontal component (x) of velocity for the plane is 400 m/sec.

More about the trigonometry link is given below.

https://brainly.com/question/22698523

Solve for x and y!

Please show your work! To get brainliest!

Answers

As per questions:-

Image 1:-

[tex]x = 15 \sqrt{3} \\ y = 30[/tex]

Image 2:-

[tex]x = 16 \\ y = 8[/tex]

Image 3:-

[tex]x = 8 \\ y = 4[/tex]

(Also check the attached 3 images for explanation.

If using Brainly app, please swipe the images to the right to see the remaining images.)

Which sequence is geometric and which is arithmetic?

Answers

The table on the left is arithmetic

This is because each term is increasing by the same amount (2) each time.

3+2 = 55+2 = 77+2 = 99+2 = 11

--------------------------------------------

The table on the right is geometric

Why? Because this time we are multiplying each term by the same value (2) to get the next term.

3*2 = 66*2 = 1212*2 = 2424*2 = 48

Both involve the number 2, but the first table uses addition while the second table uses multiplication.

1) Arithmetic

~3,5,7

common difference of 2

2)Geometric

~3,6,12

each term is found by multiplying the previous one by a fixed number

Hopefully this helped- have a good day)

Name all the factors of 12

Answers

Answer:

1,2,3,4,6,12

Step-by-step explanation:

Answer:

1,2,3,4,6,12

Step-by-step explanation:

1x12=12

2x6=12

3x4=12

4x3=12

6x2=12

12x1=12

I NEED HELP WITH THIS QUESTION FAST!!!!!!!

Answers

Answer:

3

Step-by-step explanation:

Can someone please help me with these 3 Tysm!! (Please tell me how you solved them) will give brainlist <3

Answers

Answer:

1. 50

2.40

3. 9

Step-by-step explanation:

1. in this u need u plus ten with number given

2. in this u need to plus 5 in all the above numbers but i have subtracted bcoz it was below

3. in this u need to multiply 3 with every number like 9*3 27

hope it helps

You select a card from a deck that contains 25 red cards, 12 blue cards, 8 yellow cards, and 5 red cards. What is the probability of drawing a red card?

Answers

Answer: 3/14!

Your welcome!

Step-by-step explanation: The probability P is actually formulated as "the successful outcomes S" over "the total number of possible outcomes T," that is P = S/T You are expecting to draw a blue card. Therefore the probability will beP (one blue card) = 6/28 = 3/14!

a cone has a height of 4.5 inches and a diameter of 12 inches. What is its volume, in cubic inches?

Answers

Answer:

54π

Step-by-step explanation:

The volume for a cone is πr²h/3, which if we replace the number in, we get :

π6²4,5/3, which is approximately 54π

Hope it helps :)

Write an equation in slope-intercept form that passes through the given pairs of points: (2, 5) and ( 12, 1)

Answers

Answer:

y=-6/10x+17/11

Step-by-step explanation:

1-5 keep it, change it, flip it. -6

12-2= 10

y=-6/10x+b

you can take one of the coordinates

I used (2,5) in the equation.

y is 5

m is -6/10

x is 2

-6/10x2 is -12/10

remember to drop down 5

5= -12/10+b

look for fluffy cloud -12/10 turn it to a positive and add it to five and the answer is 17/11 equals b.

Tom is making a cover for a box that is 4.5 feet long and 23 inches wide. what will be the area of a cover in square inches

Answers

Answer:

154in²

Step-by-step explanation:

4.5 ft = 54in

2(54 + 23) = 154in²

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula P = a Superscript three-halves. If Saturn’s orbital period is 29. 5 years, what is its distance from the sun?.

Answers

The distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units

What is orbital period?

Orbital period is the time period, which is required for a planet or one astronomical body to revolve completely around the other body.

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula

[tex]P =a^{3/2}[/tex]

The orbital period of Saturn is 29. 5 years. To find the value of distance of Saturn from the Sun, put the values in the above formula as,

[tex]29.5=a^{3/2}\\a=29.5^{3/2}\\a=9.54732\rm[/tex]

Thus, the distance of Saturn from the Sun by the orbital period formula is 9.54732 astronomical units.

Learn more about the orbital period here;

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2
Select the correct answer from each drop-down menu.
Zahid started the construction of an equilateral triangle inscribed in a circle. Which segments need to be drawn to create the triangle?
o.
To finish his construction, Zahid needs to draw segments DF,V, and

Answers

The joining of each three, two penultimate points on the circumference

of the circle, without intersection gives an equilateral triangle.

Response:

The segments that Zahid needs to draw are; DF, BF, and BD

How can the equilateral triangle be constructed from the given construction on the circle?

The assumption can be taken that, the steps used to construct the

equilateral triangle inscribed in the circle by marking along the

circumference of the circle at 6 points using the radial length.

Therefore;

The lengths of the chords formed by joining a marked points to another point such that one marked point is between the two are equal.

Which gives;

The length of the chord, DF = The length of the chord, BF = The length of the chord, BD

Given that the joining DF, BF and BD forms a triangle, and DF = BF = BD, we have;

ΔBDF is an equilateral triangle, therefore;

To finish his construction, Zahid needs to draw segments DF;

BF, and BD

Learn more about geometric construction here:

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make a prediction from the data. If the zombie added 5 more employess, how many more airplanes could they make

Answers

Depends how many current employees they have if they have 5 it would be 2x if they have 10 it would be 1.5x as many if they have 1 it would be 5x more if they have 100 it would be .05x more

A triangle has angle measures that are related as follows:


• The largest angle is eight times the smallest angle.


• The middle angle is triple the smallest angle..


a) write an equation to model the relationship


b) solve the equation and then determine the measure of each angle. Sketch the triangle and label the angle measures.

Answers

Answer:

  a) a +8a +3a = 180°

  b) 15°, 45°, 120°

  c) see attached

Step-by-step explanation:

a)

Let 'a' represent the measure of the smallest angle. The largest angle is 8a, and the middle angle is 3a. The sum of angles, as always, is 180°.

  a +8a +3a = 180° . . . . . . equation modeling the relationship

__

b)

  12a = 180° . . . . . . collect terms

  a = 15° . . . . . . . divide by 12

  3a = 3×15° = 45°

  8a = 8×15° = 120°

The angle measures are 15°, 45°, and 120°.

__

c)

see attached. We have arbitrarily let the shortest side be 10 units.

What is the range of the function g(x) = |x – 12| – 2?.

Answers

The range of the given function is [-2,∞).

what is the range of a function?

the range is the complete set of all possible values of the dependent variable say 'y'.

given function is:  f(x)=  |x – 12| – 2

f(x) = x-14  ∀ x≥12

f(x) = -x+10 ∀ x < 12

value of the above function at x=12 will be -2 means the minimum value of the function will be -2.

now, from the graph, we can see that f(x) is leading to infinity

so the range will be [-2,∞).

therefore, The range of the given function is [-2,∞).

to get more about range, refer to the link,

https://brainly.com/question/10197594

The range of the function is all real number of input value (y-value) grater than or equal to -2.

What is range of function?

Range of a function is the set of all the possible output values which are valid for that function.

The function given in the problem is,

[tex]g(x) = |x - 12| - 2[/tex]

Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,

[tex]y=a|x-h|+k[/tex]

On comparing the vertex form with the given equation, we get,

[tex]h=12\\k=-2[/tex]

Now, as the tange of a function is the set of all the possible output values which are valid for that function.

Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.

Learn more about the range of the function here;

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Round 112.3398 to the nearest hundredth. Enter your answer in the space
provided.

Answers

Answer:

112.34

Step-by-step explanation:

The 2nd digit after the decimal point is in the hundredths position.

• If the digit following is ≥ 5 then round up

• If the digit following is < 5 then leave digit as it is

here the digit following the 3 in the hundredths position is 9 so round up

112.3398 ≈ 112.34 ( to the nearest hundredth )

What is the reciprocal of -3?

Answers

Hi!

I can help you with joy!

How to Find the Reciprocal of a Number?

[tex]\star\bigstar[/tex] Simply flop the number over.

Example: Suppose we need to find the reciprocal of 2.

We flop it over and get

[tex]\displaystyle\frac{1}{2}[/tex]

Thus, the reciprocal of -3 is

[tex]\displaystyle-\frac{1}{3}[/tex]

Hope it helps!

Enjoy your day! :)

[tex]\bf{-MistySparkles^**^*[/tex]

4. Choose an initial value that is less than zero. What happens to the value of the function as the number of iterations increases?​

Answers

Step-by-step explanation:

The initial value of a function is the output value of the function when the input value is 0. For example, if your function is tracking how much money you made over a certain amount of time, then the initial value would be however much money you had to begin with on day 0.

What is the y-intercept
in this equation?

y = mx + b

Answers

Answer/Step-by-step explanation:

In the equation 'y = mx + b', 'b' is the point, where the line intersects the 'y axis' and 'm' denotes the slope of the line.

Brainliest?!

Answer:

b

Step-by-step explanation:

remember that m is the slope and b is the y intercept.

y is your output value and x is your input.

I really need helpppp! Can someone please help me out with this??? ASAP (:

Answers

Answer:

(x,y) (-6,2)

Step-by-step explanation:

3x+11y =4

-2x-6y=0

3x+11y = 4

x= -3y ( add this for x)

3(-3y) +11y =4

-9 +11y =4

2y = 4

y = 2

slove for x now

x =3x2

x = -6

answer

(x,y)(-6,2)

Score for Question 1: of 3 points) • Marcos can seal 5 envelopes every minute. Jerry can seal 7 envelopes every minute. They both seal envelopes for 1 hour nonstop. How many more envelopes does Jerry seal than Marcos? Show your work.​

Answers

Answer: 120

Step-by-step explanation: Jerry Would Seal 420 In 1 Hour, and Marco's would seal 300 in 1 hour, so Jerry sealed 120 more than Marco's.

Answer:

The answer is 120

Step-by-step explanation:

A house was bought 20 years ago for $160,000. Due to inflation, its value has increased about 7% each year. Write a function that models the value of the home over time. What is the house worth today?

Answers

As a result of inflation, the worth of the house today is $619,149.51.

What is inflation?

Inflation is the persistent rise in the general price levels. As a result of inflation, the value of the house would increase overtime.

What is the worth of the house?

The formula for calculating future value:

FV = P (1 + r)^n

Where:

FV = Future value

P = Present value

R = interest rate

N = number of years

$160,000x (1.07)^20 = $619,149.51

To learn more about future value, please check: https://brainly.com/question/18760477

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