Pre calculus
Will every function have a hole? Why or why not?

Answers

Answer 1

Answer:

No, not every function will have a hole. This is considered a special case.          A typical function is one that can be written as a fraction of two polynomials where the denominator is not zero. In a special case (when there is a hole), a factor may appear in both the numerator and denominator.


Related Questions

When Theo was born his uncle put $1000 in a college savings account for him, at 4%
interest
- Develop a function to show the amount in the savings account after x years
- How much money will be in the account when Theo is 18 and ready for college?

Answers

Answer:

A= P(1+r)^x

$2025

Step-by-step explanation:

Given data

Principal=  $1000

Rate= 4%

1. - Develop a function to show the amount in the savings account after x years

Time= x years

The function is

A= P(1+r)^x

2.  How much money will be in the account when Theo is 18 and ready for college?

Time= 18 years

A= 1000(1+0.04)^18

A=1000(1.04)^18

A=1000*2.025

A=$2025

4. The dimensions of a rectangle are multiplied by a factor of 2 to form a new rectangle. Which of the following best describes the relationship between the perimeter of the old rectangle and the perimeter of the new rectangle? a. The perimeter of the new rectangle is half the original rectangle. b. The perimeter of the new rectangle is twice the original rectangle. c. The perimeter of the new rectangle is four times the original rectangle.d. The perimeter of the new rectangle is one-fourth the original rectangle.

Answers

The answer is B because 4 is a factor of 2

BRAINLIEST IF CORRECT, NO LINKS OR SPAM ALLOWED

Answers

Answer:

b: 100

c:yes

d: younger, more, small/younger

Step-by-step explanation:

PLS HELP :) Which expression is equivalent to c+c-10?
2c−10
−8c
c−9
12c

Answers

Answer:

2c - 10

Step-by-step explanation:

When you combine the like terms of the expression c+c-10, you get 2c-10.

Therefore, 2c - 10 is equivalent to c + c - 10.

c + c - 10 → 2c - 10.

find the surface area

Answers

Answer:

aww you had my question opennnn

Step-by-step explanation:

What is the vertex of the function f(x) = x2 + 12x?
O (-6, -36)
O (-6, 0)
O (6,0)
O (6, -36)

Answers

Answer:

A. -6,-36

Step-by-step explanation:

Right on EDG 2021.

The vertex of the function f(x) = x² + 12x is (-6, -36).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

f(x) = x² + 12x

Vertex of a quadratic function of the form f(x) = ax² + bx + c is the point (-b/2a, f(-b/2a))

Here, a = 1, b = 12 and c = 0

-b/2a = -12 / 2 = -6

f(-b/2a) = f(-6)

            = (-6)² + (12 × -6)

            = 36 - 72

            = -36

Hence the vertex of the given function is (-6, -36).

Learn more about Quadratic Functions here :

https://brainly.com/question/11258039

#SPJ7

how many sides do tahe polygon have?

Answers

Triangle - 3 Sides         Square - 4 Sides

Pentagon - 5 Sides Hexagon - 6 sides

Heptagon - 7 Sides Octagon - 8 Sides

Nonagon - 9 Sides Decagon - 10 Sides

Answer:

Triangle 3

Quadrilateral 4

Pentagon 5

Hexagon 6

x-7y=4,5x-4y=-11 solve system of equations by substitution

Answers

multiply 1st eqn by 5

so it can be canceled and again u get value of y will be 1 and sagain put tha value of y in eqn 1 so that u can get the value of x

(MGSE9-12.G.SRT.8) Find the measure of the angle to the nearest degree. co 19 ? 38 A) 30° B) 27° C) 63° D) 60°​

Answers

Answer:

b

Step-by-step explanation:

Find the circumference of the circle. Use 3.14 for pi. Use the inches squared for the
answer. (circle is 9 inches)

Answers

Answer:

the answer is 30.975

Step-by-step explanation:

... i haven't learned this so i cannot give you an explanation. sorry but i hope this helps :))

the ratio of the measure of the three angles in a trinagle is 10:3:7. Find the measure of the largest angle

Answers

Answer:

90°

Step-by-step explanation:

[tex]10 + 3 + 7 = 20 \\ \frac{20}{20} = 180 \\ \frac{1}{20} = \frac{180}{20} \\ \frac{10}{20} = \frac{180}{20} \\ the \: largest \: angle = 90 \\ [/tex]

Carla and Deserea bought a dozen cookies from the bakery. Carla ate ¼ of the cookies and Deserea ate ½ of the cookies. Who ate the most?

Answers

Answer:

Deserea ate more

Step-by-step explanation:

One dozen equals 12

Carla ate 1/4 of it

1/4×12/1=3

Carla ate 3 cookies

Deserea ate 1/2

1/2×12/1=6

Deserea ate 6

6 is greater than 3 so Deserea ate more

Aaron needs to hire a waiter. Waiter A is offering his services for an initial $20 in addition to $4.25 per hour. Waitress B is offering her services for an initial $23 in addition to $3.25 per hour. When will the two waiters charge the same amount of money?

At _ hours, both waiters will charge the same amount, $_.

Answers

In 7 hours it will be 92 dollars

Help me out please??

Answers

Rate of change is given in Rise over run or Y/X
The rate of change would be 3/2
The correct answer is 3/2

Find the constant of direct variation when x = 3 and y = -12​

Answers

Answer:

constant = b = -15

Step-by-step explanation:

3 + b = -12

b = -12 - 3

b = -15

Which of the relations given by the following sets of ordered pairs is not a function?

HELPPPPP :((((( IF YOU SEND LINK I WILL REPORT YOU

Answers

Answer:

Hi, there your answer will be C.

Step-by-step explanation:

The reason why is because X(Input) can not be repeated the same

for example the coordiante( 1,3) and (1,4). See there are two ones which make them not function

Also, if you're having trouble with Functions and nonfunctions

REMEMBER THS

Function: X and y has to be separarte  and can't have the same X

NON-FUNCTION- WHEN X REPEATS ITSELF

Hope this helps :)

translate the sentence into an equation.

six more than the product of a number and 3 equals 4


use the variable x for the unknown number. ​

Answers

Answer:

6 + 3x = 4

Step-by-step explanation:

6 + 3x = 4

More means addition: 6 +

Product means multiplication: 3 × x = 3x

Equals means an equal sign: = 4

To solve for x, isolate the variable:

6 + 3x = 4

3x = -2

x = -2/3

AkkakamakjakakaijJaja

Answers

Answer:

B

Step-by-step explanation:

I first combined like terms. next I subtracted the x on the left from both sides. Lastly, I subtracted 3 from both sides. hope this helped!

Please just show work on how to solve!

Answers

Answer:

(5,7)

Step-by-step explanation:

Terrence buys an apartment for 122,000. Five years later he sells the apartment for. 156,000 he had to pay a 5.2% comission fee on the final sale price of the house

Answers

Step-by-step explanation:

[tex] \frac{5.2}{100} \times 156000 \\ = 8112commission[/tex]

help please it would be very much appreciated!!!!!!
thank you

Answers

Should be a!

26^2 - 22^2 = 192, take the sqrt of that C:
It could help the numbers, by 1,2,3. Subtract the 2 from each side and that’s will be your answer.

A taste test asks people from Texas and California which pasta they prefer,
brand A or brand B. This table shows the results.
A person is randomly selected from those tested.
Are being from California and preferring brand B independent events? Why or why not?

Answers

Option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.

What is probability?

Probability deals with the occurrence of a random event. The chance that a given event will occur. It is the measure of the likelihood of an event to occur.The value is expressed from zero to one.

For the given situation,

Total number of people in Texas = 275

Total number of people in California = 150

Total number of people in California and preferring brand B = 54

Probability of people in California,

P(California) = Number of people in California / Total number of people

⇒ [tex]\frac{150}{275}[/tex]

⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]

Probability of people in California and preferring brand B

P(California | brand B) = Number of people in California and preferred brand B / Number of people preferred brand B

⇒ [tex]\frac{54}{99}[/tex]

⇒ [tex]0.54545[/tex] ≈ [tex]0.55[/tex]

In the data provided, each event is not dependent on other events.

Thus they are independent events.

Hence we can conclude that option (C) Yes, they are independent because P(California) is 0.55 and P(California | brand B) is 0.55 is the correct answer.

Learn more about probability here

https://brainly.com/question/16465754

#SPJ2

The ratio of footballs to total pieces of equipment is... and we have 2 baseballs and 6 footballs

Answers

Answer:

1:3 ............... ......

which triangles are similar to triangle FDG? Help me asap​

Answers

Answer:

ECB

Step-by-step explanation:

they are both similar

They are both similar

hello please help i’ll give brainliest

Answers

Answer:

b

Step-by-step explanation: it the only one make scence

Answer:

Abiotic would be the correct answer!

Hope this helps!

Miss David's birthday is in April, and she is going to have a party. She is looking to buy a bag of decorations. Each bag has two different types of decorations: balloons and streamers. The first bag has 11 balloons and 6 streamers. The second bag has 15 balloons and 4 streamers. The last bag has 6 balloons and 12 streamers. Bag 1 costs $91, bag 2 costs $99, and bag 3 costs $102. How much does each type of decoration cost?

Answers

Answer:

b = $5

s = $6

Step-by-step explanation:

this can be solved using simultaneous equation

s = streamers

b = balloons

either of the 3 equations can be used to determine the price of the items

11b + 6s = 91 equation 1

15b + 4s = 99 equation 2

multiply equation 1 by 4 and equation 2 by 6

44b + 24s = 364 eqn 3

90b + 24s = 594 eqn 4

subtract equation 3 from 4

230 = 46b

b = 5

substitute for b in eqn 1

55 + 6s = 91

s = 6

I didn't mean to press that answer but please help.

Answers

Answer:

D

Step-by-step explanation:

There are FOUR equal sides so we eliminate some of the shapes that dont have equal sides.

We need a FOUR sided shape so we eliminate all the shapes that DONT have 4 sides.

We are now left with:

Square and rhombus.

For each triangle find the missing length. Around your answer to the nearest tenth. Then find the area and the perimeter.

Answers

Step-by-step explanation:

I wish I could help but I can't see clearly

Find the function value. f(-2) if f(x) = -x + 31

Answers

Answer:

33

Step-by-step explanation:

In f(x) = -x + 31 replace each instance of x with -2:

f(-2) = -(-2) + 31 = 33

HELP PLEASE Find the slope of the linear model​

Answers

Answer:

Take two values

31.5-27/1= 4.5

Hence slope is 4.5x

Other Questions
3x + 7y = 21 3x 7y = 42Solve the system of equations? Whats 2+1 come on answer it Read the excerpt from Roosevelts "Four Freedoms" speech.I have called for personal sacrifice. I am assured of the willingness of almost all Americans to respond to that call.A part of the sacrifice means the payment of more money in taxes. In my Budget Message I shall recommend that a greater portion of this great defense program be paid for from taxation than we are paying today. No person should try, or be allowed, to get rich out of this program; and the principle of tax payments in accordance with ability to pay should be constantly before our eyes to guide our legislation.What argument is Roosevelt supporting with his appeal to logic in the underlined section of the excerpt?If Americans are willing to trust Roosevelt, it only makes sense that he will ensure that the tax money is well managed.If Americans are willing to make a personal sacrifice, it only makes sense that they will be seen as both noble and patriotic.If Americans feel it is right to enter the war, it only makes sense that they will have to pay more in taxes to cover the costs.If Americans feel it is right to pay more taxes, it only makes sense that they should also agree it is right to enter the war. SOMEONE HELP ME1. How many grams of C are present in 4.86 grams of carbon dioxide?grams C.2. How many grams of carbon dioxide contain 1.73 grams of O ?grams carbon dioxide. please if you know or wanna help, may you answer these two questions? 3. There are__________eggs in the basket, but there isnt _________butter. you start driving east with 14 miles turn left and Drive North for another 10 miles at the end of driving what is your straight line distance from your starting point Explaining Invalid Datawhat happens if date is entered in a feld without meeting the validation mal For which of the funds shown would you pay the most commission on the purchase of 100 shares?a. Green Energyb. TJH Small-Capc. Upton Groupd. WHI Health Where can Ana look to find out how to get to her Grandmother's house at Christmastime?a.AtlasC. Phone bookb. Almanacd. EncyclopediaPlease select the best answer from the choices providedBD a ladybug moves 1/25 of a mile in 3/5 of an hour. if the lady bug continues at this pace how far in miles doesbit move in one hour ______la una de la tarde.A. EstaB. SonC. Es D. Esatan Help please,!! A rectangular prism that has a width of 3 1/2 what is the width of the prism in terms of cubes? B.Which of the following statements is/are true regarding the figure above?Check all that apply.UA. It is a two-dimensional object.B. It is a line segment.C. It is a polygon.D. It is a one-dimensional object. What is the best way to secure your financial future? Which expressions correctly represent the area of the triangle XYZ? As part of the quality-control program for a catalyst manufacturing line, the raw materials (alumina and a binder) are tested for purity. The process requires that the purity of the alumina be greater than 84%. A random sample from a recent shipment of alumina yielded the following results (in percent): 93.2, 87.0, 92.1, 90.1, 87.1, and 93.4. A hypothesis test will be done to determine whether or not to accept the shipment.a. State the appropriate null and alternate hypotheses.b. Compute the P-value.c. Should the shipment be accepted? Explain. Which has a different answer? A. 7 + 2 - 4 , B. 2 + 7 - 4 , C. 7 - 4 + 2 , D. 4 + 7 - 2 Two angles are complementary. One has a measure of 25 degrees. What is the measure of the other angle? When Houa was born her parents started a college fund for her. They initially put $3500 in the account. They saved in additional $550 per year. How much we have inthe account after 10 years?