Simplify completely..........​

Simplify Completely..........

Answers

Answer 1

Answer:

[tex]\frac{x}{x-1}[/tex]

Step-by-step explanation:

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

[tex]= \frac{3x^2 - 1}{(x-1)(x + 1 )} - \frac{2x + 1}{x + 1}\\\\=\frac{(3x^2 - 1)-(2x + 1)(x-1)}{(x + 1)(x-1)}[/tex]                        [tex][\ Taking \ LCM \ ][/tex]

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

Finding LCM :

Example :

                 [tex]\frac{1}{6} + \frac{1}{3}[/tex]

6 = 2  x   3

3 = 1   x   3

                [tex]\frac{1}{2 \times 3} + \frac{1}{ 3}[/tex] [tex]= \frac{1}{2 \times 3} + \frac{1 \times 2}{ 3 \times 2}[/tex]  

[ To make the denominators same : the second fraction is multiplied and divided by 2 ]

Similarly :

 [tex](x^2 - 1 ) = (x -1)(x+1)\\\\(x + 1) = 1 \times (x + 1)[/tex]

Same rule we applied : multiplied the numerator and denominator of the second term with ( x - 1 )

Therefore the second term becomes ,

                                       [tex]\frac{2x + 1}{x + 1} = \frac{(2x + 1)(x - 1)}{(x + 1)( x - 1)}[/tex]


Related Questions


Which statement shows how two polynomials 3x + 6 and 5x2 - 4x demonstrate the closure property when multiplied?
O 15x3 + 18x? - 24x may or may not be a polynomial
O 15x3 + 18x2 - 24x is a polynomial
O 15x + 42x2 – 24x may or may not be a polynomial
15x3 + 42x2 - 24x is a polynomial

Answers

Hey girl yes 78*+87 =978 minis 8

Here you go, rockstar

B) 15x3 + 18x2 − 24x is a polynomial

✨keep going!✨

Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?

Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5

Answers

Answer:

3.5

Step-by-step explanation:

-3.5 is the correct answer


Find the value of x segment addition

Answers

Answer:

6

Step-by-step explanation:

4+x-3=2x-5

1+x=2×-5

2x-x=6

x=6

A rectangular plot of land is 40 feet long and 25 feet wide. How long is a walkway along the diagonal?

Answers

Answer:

25 ft

Step-by-step explanation:

Which of the following is the equation of a line that passes though the points (2,5) and (4,3)

Answers

Answer:

y= -1x+7

or

y = -1x + b

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(2,5) and (4,3).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (2,5), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=2 and y1=5.

Also, let's call the second point you gave, (4,3), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=4 and y2=3.

Now, just plug the numbers into the formula for m above, like this:

m=

3 - 5

4 - 2

or...

m=

-2

2

or...

m=-1

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=-1x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(2,5). When x of the line is 2, y of the line must be 5.

(4,3). When x of the line is 4, y of the line must be 3.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=-1x+b. b is what we want, the -1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (2,5) and (4,3).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(2,5). y=mx+b or 5=-1 × 2+b, or solving for b: b=5-(-1)(2). b=7.

(4,3). y=mx+b or 3=-1 × 4+b, or solving for b: b=3-(-1)(4). b=7.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(2,5) and (4,3)

is

y=-1x+7

Solve

8V - 4(v + 8) = 8

Answers

Answer:

v = 10

Step-by-step explanation:

Answer:

v = 6

Step-by-step explanation:

8 v - 4 ( v + 8 ) = 8

8 v - 4 v - 32 = 8

4 v - 32 = 8

4 v = 8 + 32

4 v = 40

v = 40 / 4

v = 10

The probability can be written as:
Fraction
Decimal
Percent
All of the above

Answers

All of the above. Sorry if this is wrong but in 99% sure it isn’t!!

explain how you can use a model to find 4 x 3/4 include a drawing and a solution

Answers

Answer:

4 x 3/4 = 3

Step-by-step explanation:

Which of the following is arranged in ascending order? *
7/10, 6/4, 4/5, 5/2
6/4, 5/2, 4/5, 7/10
7/10, 4/5, 6/4, 5/2
6/4, 4/5, 7/10, 5/2

Answers

Answer: 7/10, 4/5, 6/4, 5/2

Ascending means that the values are getting larger from left to right.

0.7, 0.8, 1.5, 2.5

The screen at Dallas' AT&T Stadium is 175 feet wide. A movie theatre screen with

similar dimensions is 40 feet wide with a screen area of 896 Ft. What is the area of

the screen at AT&T Stadium? Round to the nearest square foot.

Answers

Answer:

17150 ft²

Step-by-step explanation:

Given the ratio of sides = a : b , then

ratio of areas = a² : b²

Here ratio of sides = 175 : 40 = 35 : 8 , then

ratio of areas = 35² : 8² = 1225 : 64

let x be the area of AT & T Stadium then by proportion

[tex]\frac{x}{1225}[/tex] = [tex]\frac{896}{64}[/tex] ( cross- multiply )

64x = 896 × 1225 = 1097600 ( divide both sides by 64 )

x = 17150

The AT & T screen has an area of 17150 ft²

On a recent trip to New York City, Mr. Kelly went to the top of the Empire State Building. He knows that the Empire State building is 1250 feet high, but he wants to figure out how tall the building across the street is (its 100 feet across the street). He measures the angle of depression from the Empire State Building to the roof of the adjacent building to be 23°. How tall is the building across the street from the Empire State Building?

Answers

Answer:

teri maa ki chut me mera land madarchod sale gand marunga teri

What is the recursive formula for this arithmetic sequence?
-7,-1,5, 11, ...

Answers

Answer:

D

Step-by-step explanation:

The recursive formula allows us to find any term in a sequence by adding the common difference d to the previous term.

Here d = - 1 - (- 7) = - 1 + 7 = 6 , then

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 6 ; a₁ = - 7


[tex]3 \sqrt{10} + \sqrt{9} - 4\sqrt{17} [/tex]
please help with this equation​

Answers

3•sqrt10-4sqrt17+3 is the simplified version

calculate the area of rectangle if the area of the shaded triangle is 2.6cm​

Answers

Answer:

12

Step-by-step explanation:

The point (12, 5) is on the terminal side of angle θ.
cos θ =

cot θ =

Answers

Step-by-step explanation:

The point (12, 5)

x = 12, y = 5

=> r =√12²+5² =√144+25= √169=13

so, cos θ = x/r = 12/13 and

cot θ = x/y = 12/5

What is the sum of the measures of the exterior angles of a regular dodecagon? If necessary, round to the nearest tenth.

Answers

Step-by-step explanation:

Exterior angle of a dodecagon (12-sided regular polygon) is supplementary to its interior angle.

Sum of all interior angles of

N

-sided regular polygon equals to

(

N

2

)

180

o

.

Therefore, sum of interior angles of

12

-sided polygon is

(

12

2

)

180

o

=

1800

o

All 12 interior angles of dodecagon are equal, so each is

180-30

150

A supplementary exterior angle, therefore, equals to

180-150

=30

hopeit helps..

Answer

The measure of each exterior angle of a regular dodecagon is 30 degrees.

What is a regular dodecagon?

A regular dodecagon is a 12-sided regular polygon with each side equal.

We are asked to find the measure of each exterior angle of a regular dodecagon.

We know that measure of each angle of n-sided regular polygon can be found using

= 360/n

Upon substituting n = 12 in above formula, we will get:

= 360 / 12

= 30

Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.

Learn more about dodecagon;

https://brainly.com/question/12296650

#SPJ2

Please help me-

On a piece of paper, graph f(x) = {6 if -5 < x < -1
{4 if -1 < x < 2
{2 if 2< x < 5 .
Then determine which
answer choice matches the graph you drew.

Answers

Answer: Choice A

Explanation:

You are basically graphing the three horizontal lines y = 6, y = 4 and y = 2; however, there are restrictions to each line.

The first line (y = 6) is only graphed when [tex]-5 < x \le -1[/tex]The second line (y = 4) is only graphed when [tex]-1 < x \le 2[/tex]The third line (y = 2) is only graphed when [tex]2 < x \le 5[/tex]

That's how we get the staircase pattern as shown in graph A. This is considered a piecewise function since we're graphing pieces of various other functions.

Note the use of open holes vs closed circles for the endpoints. The open holes correspond to parts of the inequality that don't have "or equal to", which means we leave that part out of the graph. In contrast, the closed fill in circles do have "or equal to" associated with them, so we do include those endpoints.

Answer:

A

Step-by-step explanation:

Using the right triangle below. What is the name for side AB?
A) Hypotenuse
B) Adjacent
C) Opposite
D) None of the above

Answers

Answer:

A.Hypotenuse

Step-by-step explanation:

Side AB is the longest side of the triangle

The longest side of a triangle is known as the hypotenuse

Can someone help me?It's urgent and thank you!

Answers

Answer:

x = 4 is the answer

PLease give a brainliest

Pls answer……………………..

Answers

Answer:

They are not congruent because the lines aren't parallel.

Step-by-step explanation:

For all of those angle relation theorems to be valid, PARALLEL lines need to be split by a transversal.

Please help me guyssssssssssssssss

Answers

Answer:

x≥-4

Step-by-step explanation:

-2-3x ≤ 10

Add 2 to each side

-2-3x+2 ≤10+2

-3x ≤ 12

Divide by -3, remembering to flip the inequality

-3x/-3 ≥ 12/-3

x≥-4

Answer:

Easy x[tex]\geq[/tex]4

Step-by-step explanation:

a)-2-3x[tex]\leq[/tex]10 can be broken down by

b)-2-3x[tex]\leq[/tex]10

+2       +2

c)-3x[tex]\leq[/tex]12

  +3     +3

d) x[tex]\geq[/tex]4

A new bicycle sells for $300 it is on sale for 1/4 off the regular price select all the expressions that represent the sale price of the bicycle in dollars.

Answers

Answer:

$225:  the expression may look like $300-25%.    

Step-by-step explanation:

First decide what is 1/4 of $300.  ($300 / 4 = $75)

then subtract that amount from the original price. ($75-$300)

PLEASE HELP ME I DONT GET IT

Answers

Answer:

A)  y = 2x

Step-by-step explanation:

The measures of two complementary angles are represented by (2x) and (3x - 10)". What is the value of x?

Answers

Answer:

Step-by-step explanation:

2x + 3x - 10 = 90

Combine like terms

5x - 10 = 90

Add 10  to both sides

5x = 90+10

5x = 100

Divide both sides by 5

x =100/5

x = 20

Pls pls pls answer this question!!

Answers

Answer:

11

Step-by-step explanation:

3 + [tex]\sqrt{16}[/tex] ÷ 2 * 4

work for the root first

3 + [tex]\sqrt{4*4}[/tex] ÷ 2 * 4

3 + 4 ÷ 2 * 4

now divide 4 by 2

3 + 2 * 4

then do multiplication

3 + 8

11

Answer:

11

Step-by-step explanation:

Following the order of operations in PEMDAS

Given

3 + [tex]\sqrt{16}[/tex] ÷ 2 × 4 ← evaluate the square root

= 3 + 4 ÷ 2 × 4

When multiplication appear on the same line evaluate from left to right

= 3 + 2 × 4

= 3 + 8

= 11

In a physical education period, students are arranged in rows to form a perfect square to practice a display for the sports day. From the total number of 8046 students, 125 students were not well and others formed a perfect square to participate in the display. Find the number of students in each row.

Answers

ONG ONG is the answer to this question witch would be 73 the equations lander answer no cap slatt

Step-by-step explanation:

I don't know how long answers

What is the area please

Answers

Answer:

A1 = Triangle (this can be calculated using the formula 1/2×base×height. Base =9 and height =13)

A2 = Square (3×5=15)

Add A1 + A2 to get the total area = 73.5

Please help and thank you

Answers

Answer:

B is your answer to this question

Select the graph of the solution. Click until the correct graph appears. 3x + 1 < 7​

Answers

Answer:

x < 2

Step-by-step explanation:

Let's actually solve the given inequality 3x + 1 < 7.  First we want to combine the constants into one:  3x < 6.  Solving for x, we get x < 2.

The graph you have chosen as your answer is correct.  x does not equal 2, but rather is less than 2, as the given inequality states.  Since x is less than 2, we start at the (open) circle at 2 and move to the left.

Which of the following uses set builder notation to denote the set of all (real) multiplicative inverses?

Answer Choices In Picture

Answers

Answer:

First Option

Step-by-step explanation:

Other Questions
a beautiful landscape located in Asia. record where it is located and it's importance to the citizens living here. which definition best describes a buffer? Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.Solve each equation. Leave the answer as an improper fraction.16x2 = 49NEXT QUESTION ASK FOR HELPTURN IT IN 2014 Glynlyon, Inc. All rights reserved.TERMS OF USE Una persona en la tierra tiene una masa de 70[kg]. Calcule: a) Su fuerza peso en la tierra. b) Su fuerza peso en la luna (considere que la aceleracin gravitatoria en la luna es de 1.62 [m/s]) * How do you find the equation of a line of a triangle when given the area and one set of coordinates? Prepare a stock available at home following the procedure you learned in this lesson. Have a picture of the finished product and a narration on how you do it What is the y-intercept of this quadratic function? f(x)= -x^2 what bond is broken when energy is released? Sec. 1. OFFICERS CONSTITUTING EXECUTIVE DEPARTMENT. The Executive Department of the State shall consist of a Governor, who shall be the Chief Executive Officer of the State, a Lieutenant Governor, Secretary of State, Comptroller of Public Accounts, Commissioner of the General Land Office, and Attorney General.Sec. 2. ELECTION OF OFFICERS OF EXECUTIVE DEPARTMENT. All the above officers of the Executive Department (except Secretary of State) shall be elected by the qualified voters of the State at the time and places of election for members of the Legislature.Sec. 21. SECRETARY OF STATE. There shall be a Secretary of State, who shall be appointed by the Governor, by and with the advice and consent of the Senate, and who shall continue in office during the term of service of the Governor.According to the excerpt, which executive office in Texas is appointed?A. governorB. ieutenant governorC. attorney generalD. secretary of state PR and SU are parallel lines.Which angles are alternate interior angles? What is a intervention programme? Which 3 expressions are equivalent to theexpression : 3x-12-2(x+12) How is Jay Gatsbys life a representation of the American Dream? A model with 1 shaded part and 3 unshaded parts. Write the unit fraction depicted in the model as a percent. You post a notice at school that you will sell your laptop computer for $1,200. A buyer comes by your room to look at it while you are gone and your roommate sells it for $1,100, thinking you would be happy with that price, which you did not authorize.a. you must enter into a written agreement with your roommate for it to be valid.b. you can accept the deal by express or implied ratification.c. the deal cannot be valid because there was no consent.d. you must accept the deal because people living together have power of attorney These stylistic elements create effects thatshare stylistic qualities with which two artforms?jazz musicclassical musicsketch drawingclassical sculpture If f(x)=2(x)2 +5w/(x+2)(2) =F(2)= How did the French and Indian War lead to tensions between England and itscolonies?A. England began taxing the colonists to pay for the cost of the war.B. The colonists refused to buy manufactured goods from England.C. The colonists began charging England higher prices for warmaterials.O D. England refused to protect the colonists in future wars. Cules eran las ofrendas que Quetzalcatl peda a los habitantes de Tulaayuda la necesito antes de las 6 The sky misses the sun at nightcan yall rewrite it in figurative language