Task: Nonpermissible Values for Rational Expressions [30 points] Write a rational expression that has the nonpermissible values x=0 and x=17. Explain your reasoning using complete sentences.

Answers

Answer 1

Answer:

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].

Step-by-step explanation:

A rational expression has a nonpermissible value when for a given value of [tex]x[/tex], the denominator is equal to zero. In addition, we assume that both numerator and denominator are represented by polynomials, such that:

[tex]f(x) = \frac{p(x)}{q(x)}[/tex] (1)

Then, the factorized form of [tex]q(x)[/tex] must be:

[tex]q(x) = x\cdot (x-17)[/tex] (2)

If we know that [tex]p(x) = 4[/tex], then the rational expression is:

[tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex] (3)

A rational expression that has the nonpermissible values [tex]x = 0[/tex] and [tex]x = 17[/tex] is [tex]f(x) = \frac{4}{x\cdot (x-17)}[/tex].


Related Questions

A rectangular garden is 4 feet wide and 9 feet long. The dimensions of the pool are 150% larger than the dimensions of the garden.

What are the dimensions of the pool?


600 feet wide and 1350 feet long.

6 feet wide and 13.5 feet long

5.5 feet wide and 10.5 feet long

8 feet wide and 18 feet long

Answers

Answer: B) 6 feet wide and 13.5 feet long

================================================

Work Shown:

150% = 1.5 after moving the decimal 2 spots to the left

Multiply this with each of the dimensions given

4*1.5 = 6

9*1.5 = 13.5

The pool is 6 feet by 13.5 feet

-1t+14=3t+10 what value of t makes this true?​

Answers

Answer:

1 makes this problem true

Step-by-step explanation:

-1t+14=3t+10

-1(1)+14 = 3(1)+10

-1 +14 =3+10 , 13=13

So 1 makes this problem true

Last year Anthony earned $24,000. After a brief lay-off this year, Anthony’s income is $18,500.


A.
30% increase


B.
30% decrease


C.
23% increase


D.
23% decrease

Answers

30% decrease because it’s all about subtract

Does anyone know the answer to this question. I already tried A and C.

Answers

I think the answer would have to be D. If the diameter, which is the distance from one point on the circle through the center to another point on the circle, is halved then the amount of concrete that will be needed will be multiplied by 4. I think that's right I am so sorry in advance if that was incorrect. Have a beautiful rest of your day. Stay safe. C O V I D - 1 9 IS REAL THIS COULD MEAN YOUR LIFE!!!

The price of the radio was $14. The sales tax was 3.5%.
What was the total cost of the radio, including the sales
tax?

Answers

Answer:

14.49

Step-by-step explanation:

14 * 0.035 = 0.49

14 + 0.49 = 14.49

Is the following a function ?

Answers

Yes it is a function

helooooooooooooooooooooooooooo

Answers

Answer:

you are asking what dont understand

Step-by-step explanation:

What is the y-intercept of the equation?

Answers

The y intercept is -4 and the 2/3x is the slope
The y intercept is -4

what is the answer it is hard and dumb

Answers

D since the line is going to the right.

d

good luck  

n     kjhikjnbjkjnhb hjijnbhjijijn

Can someone explain Slope to me? I literally have no idea what is from my teacher or from Aleks. I don't get what y1 and y2 are and i don't get what rise or run is. I have no idea how to get slope (brainliest for whoever explains a function too)

Answers

Yeah, I know Alex sucks. SO slope is the change in Y over x. So to find slope for ex. is lets use points (8,4) and (6,5) the equation to find slope is Y2-Y1 over X2-X1 or Y2-Y1 / X2-X1 and that basically the y's on the points you have. In this case it will be 4 and 5 since y always comes second or after the x. What I like to do is this X1(8), Y1(4) and X2(6), Y2(5). After you have that set up you just put them in the equation it will be 5-4/6-8 which is -1/2 use calculator. So Y is the y-axis and X is the x-axis.

Function is when every input(x) has only one output(y) . For example if we have the table

X,1 , 4 , 5, 9, 10 this is not a function because the -3 has both 9 and 10 for an output.

Y,2, 6 ,6, -3 , -3

A function will look more like this

1 2 3 4 5 6

2 4 6 8 10 12 every output has only one input

I recommend to watch Brian McLogan on youtu he can really help. Just search anything then his name. Or even Function then his name he explains it really well.

Which graph best represents a system of equations that has no solution?

Answers

Answer: D

Step-by-step explanation: for each answer they were at least going to interact with each other, unlike answer D

Question 18 of 25
If f) =3*+ 10 and glx) = 2x- 4, find (f+ 9)().
OA. (f+ )() = 5x +6
OB. (f+ g)() = 3*+ 2x+ 6
OC. (f+ 9)() = 3r- 2x+ 14
O D. (f+ 9)() =-3*- 2x-14
SUBN

Answers

Answer:

C. (f+ 9)() = 3r- 2x+ 14

Step-by-step explanation:

Find the midpoint of the line segment with end coordinates of: ( − 1 , 7 ) and ( 3 , − 2 ) Give coordinates as decimals where appropriate.

Answers

the midpoint is ( 1 , 2.5 ) . hope that helps ❤️

Joe can run 12 miles in 125 minutes. How many miles can he run in 230 minutes? (solve and explain the steps)

Answers

Answer:

Joe will run 22.08 miles in 230 minutes.

Step-by-step explanation:

Given that Joe can run 12 miles in 125 minutes.

so Joe running the miles in 1 minute is = 12/125 = 0.096 miles

unit rate = 0.096 miles/per minute

As Joe runs 0.096 miles in one minute.

Thus, in 230 minutes, Joe will run = 0.096 × 230 = 22.08 miles

Therefore, Joe will run 22.08 miles in 230 minutes.

BRAINLIEST!! Can someone help me with the following problem?


(- 2*10+2)/3 +14*2-5+9=y

Solve for "y" :)

Answers

I believe that the answer is 26 but I’m not completely sure
Have a nice day :)

23.82600 round off to two decimal place​

Answers

Answer:

23.83......the 6 is greater than 5 so the 2 turns 3

Step-by step

IF 26% OF A NUMBER IS 65 ,FIND THE NUMBER ?
plzz ans!

Answers

Answer:

48.10 dollars

Step-by-step explanation:

I think JDJDKDIDID

Answer:

250

Step-by-step explanation:

Multiply 100 by 65 and divide that by 26.

Please find what X equals -

5^6x+7 = 761

Answers

Answer:

What grade? 10th?

Step-by-step explanation:

Can exponents be integers

Answers

Answer:

NO

Step-by-step explanation:

Exponents are expressed as numbers or variables in superscript above a base number. When the exponent is equal to or greater than 2, it directs how many times the base number is to be multiplied. The numbers 1 and 0 are special exponents, and negative integers as exponents stand for reciprocal values.

Answer:

It matters of what the whole number in front is.

Step-by-step explanation:

For example: 6 to the power of 2 = 36  

if the first number is a decimal: 1.6 to the power of 2.56

Its NOT an exponent if the starting number is a decimal usually.

What is the perimeter of triangle DEF?
Answer choices:
90 cm
40 cm
45 cm
9 cm

Answers

Answer:

If triangle EFD is similar to ABC then side EF = 9 cm

Step-by-step explanation:

the answer is 9 cm..........

a bag contains 10 red marbles, the ratio of red marbles to blue marbles is 5 to 1 find the numbers of blue marbles in the bag

Answers

Answer:

The Answer is 2 blue marbles.

Step-by-step explanation:

The numbers of blue marbles in the bag will be 2.

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Here it is given that :

a bag contains = 10 red marbles

the ratio of red marbles to blue marbles is = 5:1

That is :

5 ratio of marbles is equals to = 10 marbles

now,

1 ratio of marbles is equals to = 2 marbles

Therefore, the numbers of blue marbles in the bag will be 2.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ2

If DH = (4x + 10) in. and HI = (2x − 4) in., then x =_______ , HI =_______ , and ID = _________

Answers

Answer:

x = ∞ infinite solutions or 0

HI = infinite solutions

ID = infinite solutions.

Step-by-step explanation:

Oh okay I got this now!

ID + HI = DH

ID + 2x - 4 = 4x + 10 (subtract 2x on both sides)

ID - 4 = 2x + 10 (add 4 on both sides)

ID = 2x + 14

So now ID + HI = DH

2x + 14 + 2x - 4 = 4x + 10 (simplify)

4x + 10 = 4x + 10 (subtract 10 on both sides)

4x = 4x (minus 4x on both sides)

0 = 0

I would plug in 0 as x.

Hope this helps!

Expand and simplify
(3x + 2)(x - 1)​

Answers

I’m pretty sure the answer is 3x^2 - x - 2

help pls pls asap i need this

Answers

Answer:

B

Step-by-step explanation:

Holly needs to buy some cloth. The following deals are available at various stores. Choose the best deal.

$16.52 per 6 yd
$13.85 per 5 yd

a
$16.52 for 6 yd
b
$13.85 for 5 yd
c
Neither

Answers

Answer:

It's A

Step-by-step explanation:

hope the pic helps b/c you deleted my last answer so i hope this is more of use to you :)

Solve for x given 16 = 2x + 2( 4+ x)

Answers

Answer:

x=2

Step-by-step explanation:

16=2x+2(4+x). First distribute the 2 into the parenthesis (4+x):

16=2x+8+2x. Now combine the like terms:

16=4x+8. Now to get 4x by itself, subtract 8 to the left:

8=4x. Solve for x by dividing by 4:

2=x

What is 1/3 + 4/9 and how to solve

Answers

Make them same denominator
1/3 * 3/3 = 3/9
Now add them
3/9 + 4/9 = 7/9

Answer:

7/9

Step-by-step explanation:

To add fractions, you have to have like denominators. First find the LCM (Least Common Multiple) of both denominators. That is 9. The second fraction already has a denominator of 9, so leave it as is. The first fraction doesn't so what will happen is you will be converting it into a fraction with a denominator of 9. Multiply the denominator by 3 to get 9. Then multiply the top by 3 because whatever you do to the bottom you do the top. You will then get 3/9. 3/9+4/9 is equal to 7/9 because you just add the numerators, but keep the denominators the same.

In Beijing in 2008, the Women's 3,000 meter Steeplechase became an Olympic event. What is this distance in kilometers

Answers

Answer:

The distance would be 3 kilometers

Step-by-step explanation:

Each kilometer is 1,000 meters. Divide 3,000/1,000= 3

I need help with this, i know the answer isnt 20 because the teacher told me it wasnt

Answers

Answer:

d: 68

Step-by-step explanation:

Answer:

D.68

Step-by-step explanation:

i figured it out to lol

A team has won 51 out of 68 games. whats the precent

Answers

Answer:0.75 = 75%

Step-by-step explanation:

51 divided by 68 is 0.75

Answer:

75%

Step-by-step explanation:

When you divide 51 by 68 you get .75 which is equal to 75%.

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