Your answer should be in the form p(x)+\dfrac{k}{x-1}p(x)+
x−1
k

p, left parenthesis, x, right parenthesis, plus, start fraction, k, divided by, x, minus, 1, end fraction where ppp is a polynomial and kkk is an integer.
\dfrac{x^2+2}{x-1}=
x−1
x
2
+2

Answers

Answer 1

Answer:

Step-by-step explanation:

the answer i got was -57

Answer 2

Functions can be rewritten is several forms.

The new form of the function is: [tex]\mathbf{f(x) = \frac{x^2}{x - 1} + \frac{2}{x-1}}[/tex]

The function is given as:

[tex]\mathbf{f(x) = \dfrac{x^2+2}{x-1}}[/tex]

Split

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

The form is given as:

[tex]\mathbf{f(x) = p(x) + \frac{k}{x - 1}}[/tex]

So, by comparison

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

[tex]\mathbf{k =2}[/tex]

Read more about functions at:

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Related Questions

7(5)^2 - 17
How do you solve

Answers

Answer:

7•(5•5) -17 = 7•25-17= 175-17= 158

My snack time calls for 1/2 cup raisins,2/3 cup of nuts and 1/4 cup of chocolate chips what is the combined total

Answers

Answer:

[tex]\frac{17}{12}[/tex] or [tex]1\frac{5}{12}[/tex] (they're the same)

Step-by-step explanation:

1/2 + 2/3 + 1/4 = 12/24 + 16/24 + 6/2412/24 + 16/24 + 6/24 = 34/2434/24 = 17/12 = 1 5/12

I hope this helps!

Evaluate the following expression:
[9 (10 – 2)] = [2 + (5 x 2)]

Answers

[9(10-2)]=[2+(5 x 2)]
90-18= 2 + 10
72= 12
72 divided by 12
Answer = 6

Answer:

6

Step-by-step explanation:

a bus is traveling at a constant speed if the bus travels 15 1/2 miles in 1/3 of an hour how many miles will the bus travel in one hour

Answers

Answer:93/2 or 46 1/2

Step-by-step explanation:

15 1/2 ✖️3

What do you call moving digits around to a different place when you count up or down past 9?

regrouping.

borrowing.

trading.

all of the above.

Answers

D is the answer. All the above.

Happy Cheating!! You will get a good grade

Moving digits around to a different place when counting up or down past 9 is called regrouping, borrowing, or trading.

There are several terms for moving digits around, some of them are:

RegroupingCarryingBorrowingTrading

All the above mean the same thing, and they perform the same purpose.

For instance:

Counting from 19 to 20 involves borrowing/carrying/trading/regrouping of 1

Hence, the correct option is (d) all of the above

Read more about regrouping at:

https://brainly.com/question/23796432

Which expression is equivalent to (3x-1) (-5x+6)?

Answers

Answer:

−15x2+23x−6

Step-by-step explanation:

(3x−1)(−5x+6)

=(3x+−1)(−5x+6)

=(3x)(−5x)+(3x)(6)+(−1)(−5x)+(−1)(6)

=−15x2+18x+5x−6

=−15x2+23x−6

tell me ratios simplest forms

Answers

Ratio is just comparing two numbers in proportion.
So like 1:2 , 2:4 , 4:8

Hope this helps!

123453737372×69943773884=​

Answers

Answer:

wow I got a big E and am sooo happy to get 5 marks

Answer:

  8,634,820,291,881,888,392,848

Step-by-step explanation:

123453737372×69943773884 = 8,634,820,291,881,888,392,848

Many calculators don't keep the required number of digits.

F(x) = 1/3(4-x)2 what is the value of f (16)

Answers

Answer:

-8

Step-by-step explanation:

The credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 32 minutes of calls is $21.16, and the remaining credit after 56 minutes of calls is $18.28. What is the remaining credit after 72 minutes of calls?​

Answers

Answer:

The credit remaining on a phone card is 16.36 dollars

Step-by-step explanation:

A linear function is a polynomial function of the first degree of the form:

f (x) = m * x + b  or  y = m * x + b

where m is the slope of the linear function and b is the ordinate to the origin and it is the coefficient of the independent variable.

Given the coordinates of two points (x1, y1) and (x2, y2), you can determine the slope of the linear function using the following formula:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

The coefficient b is calculated simply by replacing any of the points in the linear function, knowing m, and isolating the value.

In this case you want the linear function first:

credit remaining on a phone card= m* the calling time in minutes + b

Being the points (32; 21.16) and (56;18.28), then the slope m will be:

[tex]m=\frac{18.28-21.16}{56-32}[/tex]

m= -0.12

Then, replacing the point (32; 21.16) in

credit remaining on a phone card= -0.12* the calling time in minutes + b

you get:

21.16= -0.12*32 + b → 21.16= -3.84 + b → 21.16 + 3.84= b → 25=b

Then, replacing the point (56;18.28) in

credit remaining on a phone card= -0.12* the calling time in minutes + b

you get:

18.28= -0.12*56 + b → 18.28= -6.72 + b → 18.28 + 6.72= b → 25=b

You can see that the value of b is the same.

So the linear function is:

credit remaining on a phone card= -0.12* the calling time in minutes + 25

Being the call time in minutes equal to 72, you replace this value in the linear function:

credit remaining on a phone card= -0.12* 72+ 25

and you get:

credit remaining on a phone card= -8.64+ 25

credit remaining on a phone card= 16.36

The credit remaining on a phone card is 16.36 dollars

One gym costs $24 per month and has a joining fee of $135. Another gym costs $39 per
month but does not have a joining fee. How many months would it take for each gym to
cost the same amount of money?

Answers

Answer:

It would take 1 month for the first gym (costs $24 per month) and 4 month for the second gym (costs $39 per month)

Step-by-step explanation:

If you add up $24 and $135 it equals 159. So for the first month you have to pay (in total) $159 dollars. So, if you want to get the same amount of money you have to multiply 39. To find out what number you need to multiply 39 with 4. Then you would have to add $3.

Which equation gives the line shown on the graph?
y
y=2.0 +4
10
9
y= {x + 4
8
7
6
y=-3x – 4
5
y = 23 – 4
3
2.
1
0
0
1 2

3 4 5 6 7 8 9 10
need help

Answers

Answer:

y=(1/2)x+4

(0,4) and (10,9) both satisfy this equation.

Hope it helps:-)

Simplify. (12)2−6(2−23) Enter your answer, as a simplified fraction, in the box.

Answers

Answer: 240

Step-by-step explanation:

Distribute all numbers

24 - 6(-21)

24 - (-126)

24+216

240

500 deposit over 20 years with an interest rate of 5%

Answers

Answer:

At the end of 20 years, your savings will have grown to $1,326.

You will have earned in $826 in interest.

Step-by-step explanation:

can I get an answer please ​

Answers

Answer: 1, 4, -7

Step-by-step explanation:

Coefficients are numbers that are in front of a variable. Let's first determine the terms that have variables in them.

z, 4z², -7a

Since these all have variables in the terms, we know the coefficients are 1, 4, -7.

HURRY DUE IN 20 MINUTES Use the rules of exponents to simplify the expressions. Match the expression with its equivalent value.

Answers

Answer:

1 = A

2= D

3= B

4= C

Meghan Trainor spent $180 to start a dog walking business and earns $80 for each dog she walks Nicki Minaj didn't spend anything to start her business and already has $160 saved up Nicki Minaj and $6 for each dog she walks how many dogs would they each have to walk before they have the same amount of money

Answers

Answer:

Nicki will have to walk 13 dogs to get the same amount of money as Meghan

Pls mark me brainliest.

Complete a table with at least 5 points then graph the following quadratic on the coordinate plane. Identify all zeros.y = -2x2 + 5x + 8

Answers

Answer:

See attached

Step-by-step explanation:

Given function:

y = -2x² + 5x + 8

Table and graph are attached

Zeros are included in the graph

Zero's are obtained:

x = 0 ⇒ y = 8

y = 0 ⇒  Solving quadratic equation

-2x² + 5x + 8 = 0x = (-5 ± √(25 + 2*4*8))/-4x = 3.608x = -1.108

So zeros are (0, 8), (3.608, 0) and (-1.108, 0)

Find 5/6 of 15. Express your answer in simplest form. ​

Answers

Answer:

I would say 95/6 because you multiply 5 and 15 and turn it into an improper fractions.

Step-by-step explanation:

Answer

25/2 or 12 and 1/2

Step-by-step explanation:

HELPPPP! PLEASE EXPLAIN!!!

Answers

Answer:
x=103 degrees
y=113 degrees

Explanation:
All the angles in a triangle add up to 180 degrees, so to find the measurement of angle x, we can use this equation and solve:

x=180-23-54
x=180-77
x=103

To find angle y, we need to understand that a straight line also has an angle of 180 degrees. This means we need to subtract the angle that is next to angle y from 180 to get angle y.

However, to find that angle that is next to angle y, we need to do the same thing we did above and find the angles of the triangle.

First, we find the angle next to x using this expression:

180-x
=180-103
=77

And now we find the measurement of the angle next to angle y:

180-77-36
=103-36
=67

And now we find angle y:

180-67
=113

Therefore, y=113 degrees

I hope this helps! Please comment if you have any questions.

(Please help ASAP!!)
Twice a number increased by 5 is equal to 16 less than 9 times the number. Find the number.

Answers

2x + 5 = 9x - 16

hope it helps

Find an equation for the vertical line through the point (6, -6).

Answers

Answer:

x=6

Step-by-step explanation:

Since the line is vertical, it has no slope. This means that it will only go through points that have an x-coordinate of 6.

It’s a vertical line and has no slope so 6

1) -13(-6x- 14) = -910 solve

Answers

Answer:

x=2

Step-by-step explanation:

Will vote brainliest!!!!!!!! Thank you!!!!!!!!!!!!

Answers

0

Step-by-step explanation:

all the ways you could do it so it would be 0

x-4y+5z=0,x+z-3y=0

6x-y+4z=0,x-7y+z=0

I’m stuck on this to

solve for x 5(3a+2)=-65

Answers

Answer:

a = -5

Step-by-step explanation:

5(3a + 2) = -65        given

5*3a = 15                 distributive property

5*2 = 10                   distributive property

(15a + 10) = -65       the +10 goes to the other side as -10

15a = -75                  divide 75/15

a = -5                        result

what’s the sequence for “S,M,T,W.... What’s the next three terms ?

Answers

Answer:

R F S

Step-by-step explanation:

These are the days of the week.

Sunday, Monday, Tuesday, Wednesday, Thursday, Saturday, Sunday

Part D: Write an equation that would represent the

number of seconds it took the skydiver to reach a

height of 400 meters and use the equation to solve for

that time.

Part E: What is an appropriate domain for the

situation

A 0
B. 0
C. Sy s 44.7

DO Sy 5 760

Answers

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A skydiver is 760 meters above the ground when he opens  his parachute. After opening the parachute, he descends  at a constant speed of 17 meters per second.

a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables  (output) while the independent variable is not dependent on other variables (input).

Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:

y = 760 - 17x

At a height of 400 m, the number of seconds is:

y = 760 - 17x

400 = 760 - 17x

17x = 760 - 400

17x = 360

x = 21.2

x ≅ 21 seconds

It takes 21 seconds to reach a height of 400 m

b) Domain is the set of all independent variables. In this case the independent variable is the time (x)

The minimum time is at y = 760

y= 760 - 17x

760 = 760 - 17x

17x = 0

x = 0

The maximum time is at y = 0

y= 760 - 17x

0 = 760 - 17x

17x = 760

x = 44.7

Hence the domain = 0 ≤ x ≤ 44.7

solve screen shot attachment EASY

Answers

Answer:

[tex]x = \frac{-3d-9}{k-d}[/tex]

Step-by-step explanation:

Step 1: Write out equation

d(-3 + x) = kx + 9

Step 2: Distribute d

-3d + dx = kx + 9

Step 3: Subtract 9 on both sides

-3d + dx - 9 = kx

Step 4: Subtract dx on both sides

-3d - 9 = kx - dx

Step 5: Factor out x

-3d - 9 = x(k - d)

Step 6: Divide both sides by k - d

[tex]x = \frac{-3d-9}{k-d}[/tex]

How do you do this I don’t know how to do the triangle.

Answers

Answer:

I think the answer is 36

Step-by-step explanation:

I reduced 20in and I got 15inches

then as we know perimeter is the distance right round the shape so I add 15, 9 and 12 and I got 36

The number 28 is 4 times as many as 7. Write this comparison as a multoplication equation

Answers

Answer:

4 x 7

Hope this helps pla mark brainliest : )

The mathematical expression will be;

⇒ 28 = 4 × 7

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The algebraic expression is,

''The number 28 is 4 times as many as 7''

Now,

Since, The algebraic expression is,

''The number 28 is 4 times as many as 7''

Hence, We can formulate;

⇒ 28 = 4 × 7

Thus, The The mathematical expression is find as;

⇒ 28 = 4 × 7

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

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