Give an example of a function with both a removable and a non-removable discontinuity.

Answers

Answer 1

Answer:

(x+5) (x=3)

(X+5) (x+1)

Step-by-step explanation:

A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator. It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x. In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.


Related Questions

1/3(9x+3)=3x+1 what does x equal

Answers

Step-by-step explanation:

1/3(9x+3)=3x+1 multiply inside the parenthesis with 1/3

(9x+3)/3 = 3x + 1 multiply both sides of the equation by 3

9x + 3 = 9x + 3 add like terms

0 = 0 which means there are infinitely many solutions for this equation therefore infinitely many values for x

Answer:

x is any number

infinite solutions

Step-by-step explanation:

1/3(9x+3)=3x+1

Distribute

3x+1 = 3x+1

Subtract 3x from each side

1=1

Since this is always true, x can be any value

Fill in the missing number. (please explain your answer)​

Answers

Answer & Step-by-step explanation:

Make a fraction using the numerator:

[tex]\frac{48}{15} =\frac{x}{y}[/tex]

Simplify the fraction. Both the numerator and the denominator are multiples of 3, so divide top and bottom by 3 to the lowest possible integer:

[tex]\frac{16}{5}[/tex]

Insert into the equation:

[tex]\frac{48}{15}=\frac{16}{5}[/tex]

:Done

You can use different numbers too

2000 people are selected randomly from a certain population and it is found that 389 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall

Answers

Answer: 0.195

Step-by-step explanation:

given data:

population = 2000 people.

people Who are over 6 feet tall = 389.

Solution:

the point estimate of people over 6feet tall

= no of people over 6 feet tall / total population size

= 389/2000

= 0.195

the point estimate of people over 6 feet tall is 0.195

Simplify (5x - 10) - (3x + 8)

Answers

Answer:

2x-18 is the answer.

Step-by-step explanation:

=(5x-10)-(3x+8)

Opening the brackets to simplify

=5x-10-3x-8

Combining the like terms

=5x-3x-10-8

=2x-18

Hope it will help you ^_^

Answer:

2(x-9)

Step-by-step explanation:

open the brackets by multillying - sign with the entries of the second bracket

5x-10-3x-8

adding like term variables

2x-18

taking common

2(x-9)

Solve the factorial
5!/3!

Answers

Answer:

20

Step-by-step explanation:

(5x4x3x2x1)÷(3x2x1)=

120÷6=

20


Simplify to create an equivalent expression.
8- 4(-x+ 5)

Answers

Answer:

           8 - 4(-x + 5) = 4x - 12

Step-by-step explanation:

  8 - 4(-x + 5) =

= 8 - 4•(-x) + (-4)•5 =

= 8 + 4x - 20 =

= 4x - 12

Clare made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Clare doesn't touch the money in her account, she can find the amount she'll have the next year by multiplying her current amount by 1.03. How much will she have in 30 years

Answers

Answer:

$388.36

Step-by-step explanation:

let us assume that the amount in her accounts compounds annually

Given data

principal p= $160

interest rate r= 3%= 0.03

time t= 30 years

At the end of 30 years the money she will will have can be expressed as

A= P(1+r)^t

A= 160(1+0.03)^30

A= 160(1.03)^30

A= 160*2.42726

A= $388.36

in 30 years she will have $388.36

Please please help and show steps

Answers

Answer:  h=3v/pir^2 +1

Step-by-step explanation:

sorry i can't use the pi symbol so i'll be referring to pi as pi

^2 is squared

1/3pir^2(h-1) =v

simplify 1/3pir^2

pi/3r^2(h-1)=v

multiply both sides by 3 and simplify

3*pi/3r^2(h-1)=3v    <-- simplify = pir^2(h-1)=3v

divide both sides by pir^2

pir^2(h-1)/ pir^2 = 3v/ pir^2

simplify

h-1 = 3v/pir^2

add 1 to both sides

h-1 +1 = 3v/pir^2+1

answer/ simplify:

h=3v/pir^2 +1

Sarah has 273 feet of wire to make bead necklaces. If each necklace requires 1 2/3 feet of wire, how many necklaces can she make? ​

Answers

Oh boy, here we go again

First we must convert  1 2/3 to an improper fraction.  By doing this, we get 5/3  (3/3 + 2/3)

So now we have 273 /  5/3

To divide this easier we can do something that when I learned it was called (keep, change, flip)  which basically means keep the first fraction, change the sign from division to multiplication, and flip the second fraction

This now turns into:  273/1 * 3/5

Combine 273 and 3/5

273⋅3/5

Multiply 273

by 3

819/5

is your answer

Use the figure to find the Slant Height. 4 5 √(11)

Answers

Answer:

[tex]height = 4[/tex]

Step-by-step explanation:

By the Pythagorean Theorem, we know:

[tex]a^2 + b^2 = c^2[/tex]

Where [tex]c[/tex] is the slope.

Here we see the following:

[tex]a = 3\\b = ???\\c = 5[/tex]

Plug in the numbers:

[tex]3^2 + b^2 = 5^2\\9 + b^2 = 25\\b^2 = 16\\b = \sqrt{16}\\ b = 4[/tex]

PLEASE ANSWER I AM BEGGING!!!!!!Type a simplified fraction as an answer.

Answers

answer 5/6 decimal form is 0.83

Answer:

5/6

Step-by-step explanation:

100 ÷ 4 = 25

144 ÷ 4 = 36

Under root of 25 = 5

Under root of 36 = 6

Final Answer = 5/6

Hope this helps!

Sorry for the mistake before I did not see the under root!

La función y = 20000 + 1500x relaciona el valor total a pagar por un servicio de fletes y la distancia recorrida, en kilómetros, dentro de la ciudad. En este contexto, interpreta a qué corresponde: a. ¿Cuánto debe pagar por una distancia de 20 km? b. ¿Cuánto fue la distancia recorrida si pago un flete de $ 140.000?

Answers

Answer:

Los resultados están debajo.

Step-by-step explanation:

Dada la siguiente información:

y = 20.000 + 1.500x

Siendo:

y= costo total

x= kilometros recorridos

Entonces, si recorrio 20km:

y= 20.000 + 1.500*20

y= $50.000

Ahora, si pago $140.000, cuantos km recorrio:

140.000= 20.000 + 1.500*x

120.000/1.500= x

x= 80km

What is mAngleMHJ? A. 35° B. 50° C. 72.5° D. 92.5°

Answers

Answer:

The answer is B. 50°

Step-by-step explanation:

Got 100% on the test :)

The value of ∠MHJ is 50°. Therefore, option B is the correct answer.

We need to find the value of ∠MHJ.

What are vertically opposite angles?

Vertically opposite angles are angles that are opposite one another at a specific vertex and are created by two straight intersecting lines. Vertically opposite angles are equal to each other.

Here, ∠MHJ and ∠KHL are two vertically opposite angles.

So, (x+15)°=(2x-20)°

⇒x=35°

Now, ∠MHJ=(2x-20)°=50°

Therefore, option B is the correct answer.

To learn more about the vertically opposite angles visit:

https://brainly.com/question/68367.

#SPJ6

(4x2 + 7x - 4) + (x2 – 7x + 14)
What is the answer?

Answers

Answer:

[tex]5x^2 + 10[/tex]

Step-by-step explanation:

[tex]4x^2 + x^2 = 5x^2\\7x + (-7x = 0\\-4 + 14 = 10[/tex]

A movie theater charges $8.25 per ticket. Which expression models the cost of buying t tickets? A) 8.25t B) 8.25+t C)8.25-t D)8.25/t

Answers

Answer: a. 8.25t

Step-by-step explanation:

From the question, we are informed that a movie theater charges $8.25 per ticket. The expression that models the cost of buying t tickets is gotten when we multiply $8.25 by t. This will be:

= 8.25 × t

= 8.25t

Therefore, expression that models the cost of buying t tickets is 8.25t. The correct answer is option A.

Multiply. Express your answer in simplest form.
1
5
х
8
6

Answers

Answer:

1300

Step-by-step explanation:

Actual answer: 1290

Evaluate: negative -20 divided by -10 pleas help

Answers

Answer:

2

Step-by-step explanation:

-20 divied by -10 is two

2 negavties make a positive

Answer:

2

Step-by-step explanation:

When both numbers are negative it canals out so the answer is positive.

Shirley picked out a lite for $3.50 if she gave the family ten-dollar bill what is the fewest number of bills and coins that she could receive as change

Answers

Answer:

2 bills and 1 coin

Step-by-step explanation:

Given

[tex]Lite = \$3.50[/tex]

Required

Fewest number of bills and coins she can get receive as change

FIrst, we need to calculate her change

Change = Amount Paid - Lite

[tex]Change = \$10 - \$3.5[/tex]

[tex]Change = \$6.5[/tex]

Next is to split the change to bills and coins

[tex]\$6.5 = \$5\ bill + \$1\ bill + 50 cents[/tex]

The $5 and $1 makes 2 bills while the 50 cents makes 1 coin.

Hence, the minimum she could receive is  2 dollar bills and 1 coin as change

what is 14b +6b - 12 simplified?

Answers

Answer:

20b -12

Step-by-step explanation:

14b +6b - 12

Combine like terms

20b -12

You have to combine like terms

Area of a circle
R = 5cm
Area=
REMEMBER TO ANSWER TO 2 DECIMAL PLACES.

Answers

Answer:

78.52 cm sq.

Step-by-step explanation:

Area = pi x r^2

A = pi x (5)^2

A = pi x 25

A = 3.141 x 25

A = 78.52 cm sq.

How many 1/8 pounds meatballs can Rory make



Plzzz helpppp fast

Answers

Answer:

6

Step-by-step explanation:

since he has 2 pounds of ground beef and we are dividing these pounds into 8th's he would have a total of 16/8 meaning 8/8 for each pound of ground beef.

and since he used 5/8 for each of the two huge meat balls that means he used a total of 10/8 in total leaving 6/8.

[tex]16/8 = 8/8 + 8/8\\[/tex]

[tex]5/8 + 5/8 = 10/8\\16/8-10/8=6/8[/tex]

so since he is making 1/8 pound meatballs and he has 6/8 pounds of ground beef left he can make 6 of the 1/8 pound meatballs

a trucking company shipped a total 151,375 boxes of fruit across the company. How many thousands of boxes of fruit were shipped?

Answers

Answer:

The trucking company shipped a total of 151 thousands of boxes of fruits

Step-by-step explanation:

Total boxes of fruits shipped= 151,375

How many thousands of boxes of fruit were shipped?

To find the thousands of boxes of fruits shipped, divide the total number of boxes of fruits shipped by 1000

That is

151,375 / 1000

= 151.375

Therefore, the trucking company shipped a total of 151 thousands of boxes of fruits

151,375

Place value of each figure from right to left

5= one

7= tens

3= hundred

1= thousand

5= ten thousand

1= hundred thousand

Which of the following is a set of noncollinear points?
© P, R, T
OP,Q,R
® Q, R, S
DS, T, U

Answers

Answer:

P ,Q ,R

Step-by-step explanation:

Three or more points that doesn't lie on a straight lie are Non collinear points

Credit card companies use negative balances to represent when the credit card company owes the customer money and positive balances to represent when the customer owes the credit card company DIDIE. Sneha has a balance of 0 dollars with her credit card company, What does a balance of dollars represent?​

Answers

The balance of dollars represents the amount . Since it is 0, she does not owe anything and the company does not owe her any money either.

Answer: Neither Sneha nor the credit card company owes money.

Asim used 324 ft? of carpet for his living room floor. The living room floor
is in the shape of a square. What is the length of Asim's living room?
A9 ft
B18 ft
C36 ft
D 81 ft

Answers

Answer:

Hey there!

Area of a square: Length(Length)

324=Length^2

Length=18 ft.

Let me know if this helps :)

Answer:

D. 81ft

Step-by-step explanation:

Area covered by the carpet = 324ft

Room being a square , has 4 equal sides = [tex]\frac{324}{4}[/tex] ft = 81 ft

The length of Asim's living room is 81 ft

simply the equation-2(-3 + 2z)

Answers

Simply the equation -2(-3 + 2z)

6  −  4z

What is the value of the expression 10 · 2 + 9 + 3 . 42 ?

Answers

Answer:

32.42

Step-by-step explanation:

[tex]10\times\:2+9+3.42\\\\\mathrm{Multiply\:the\:numbers:}\:10\times\:2=20\\=20+9+3.42\\\\\mathrm{Add\:the\:numbers:}\:20+9+3.42\\=32.42[/tex]

Answer:

32.42

Step-by-step explanation:

10 . 2 + 9 + 3 . 42

10×2 = 20

20 + 9 + 3.42

20 + 9 + 126 = 32.42

Explain why the sum of a rational number and an irrational number is always irrational.

Answers

Answer:

Irrational numbers are contradictory, even when combined with a rational number.

Step-by-step explanation:

Since the assumption that the sum of a rational and irrational number is rational leads to a contradiction, the sum must be irrational.

If m = 8, how many solutions are there to the expression 7m?

Answers

Not sure I can tryhhhhhhhhhhhhhjjjjjjj

The ABC triangle is isosceles
(AB=AC)
BC=EC
you needs to be prove that ABD overlaps to AEC

Answers

Answer:

ΔABD overlaps to ΔAEC

Step-by-step explanation:

ABC triangle is isosceles => ∡B ≡ ∡C

AB = AC

∡B ≡ ∡C  } => ΔABD ≡ ΔAEC => ΔABD overlaps to ΔAEC

BD = EC

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