28. Which category is zero NOT a part of?
NY
A. Whole
B. Integers
C. Rational
D. Natural

The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

And the accurate root is 3 it can be determined by using rules of the rational root equation.

Function; [tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

Which of the values shown are potential roots of the given equation?

Potential roots of the polynomial are all possible roots of f(x).

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45[/tex]

Using rational root theorem test. We will find all the possible or potential roots of the polynomial.

[tex]\rm p=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 45}[/tex]

[tex]\rm q=\dfrac{All\ the \ positive}{Negative\ factors \ of\ 3}[/tex]

The factor of the term 45 are,

[tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45[/tex]

And The factor of 3 are,

[tex]\pm1, \ \pm3[/tex]

All the possible roots are,

[tex]\dfrac{p}{q} = \pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex]

Now check for all the rational roots which are possible for the given function,

[tex]\rm f(x) = 3x^3 - 13x^2 -3x + 45\\\\ f(1) = 3(1)^3 - 13(1)^2 -3(1) + 45 = 3-13-3+45 = 32\neq 0\\\\ f(-1) = 3(-1)^3 - 13(-1)^2 -3(-1) + 45 =- 3-13+3+45 = 32\neq 0\\\\ f(3) = 3(3)^3 - 13(3)^2 -3(3) + 45 = 81-117-9+45 =0\\\\ f(-3) = 3(-3)^3 - 13(-3)^2 -3(-3) + 45 = -81+117+9+45 =-144\neq 0[/tex]

Therefore, x = 3 is the potential root of the given function.

Hence, The potential roots of the function are, [tex]\pm1, \ \pm3, \ \pm5, \ \pm9,\ \pm15, \ \pm45,\ \pm \dfrac{1}{3},\ \pm \dfrac{5}{3}[/tex].

For more details about Potential roots refer to the link given below.

https://brainly.com/question/25873992

Answer: ALL OF THEM

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

A regular hexagon has 6 equal sides

2 times 6 = 12

Answer:

10.4m²

Step-by-step explanation:

A≈10.39m²

A=33

2a2=3·3

2·22≈10.3923m²

= 10.4m²

Answer:

x =20

Step-by-step explanation:

m∠2 ≅ m∠6 because they are corresponding angles

m∠6 ≅ m∠7 because they are vertical angles

∴ m∠2 ≅ m∠7 by substitution

4x+7 = 5x-13

7 = x-13

20 = x

The value of x is 20.

Vertical angles are angles opposite each other where two lines cross.

Any pair of angles each of which is on the same side of one of two lines cut by a transversal and on the same side of the transversal are corresponding angles.

According to the given question.

We have

m ∠2 = 4x + 7

and m ∠7 = 5x - 13

From the given figure we can say that

m ∠7 = m ∠6...(i)  (because they are vertically opposite angles)

and m ∠6 = m ∠2...(ii)   ( corresponding angles)

From (i) and (ii)

m ∠7 = m ∠2

⇒ [tex]5x - 13 = 4x + 7[/tex]

⇒ [tex]5x - 4x = 7 +1 3[/tex]

⇒ [tex]x = 20[/tex]

Hence, the value of x is 20.

Find out more information about vertically opposite angles and corresponding angle here:

https://brainly.com/question/18296786

#SPJ3

Answer:

Cheryl's posts + 7 posts =Kevin Posts

K-C=7 or C+7+K I use them because C is Cheryl and K is Kevin

Operation=subtraction or addition because it could be K-C=7 or C+7+K

Cheryl wrote K-7=C posts

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

Answer:

38.4[litres].

Step-by-step explanation:

[tex]1. \ the \ rule \ \frac{470.7[km]}{52.3[l]} =\frac{345.6[km]}{x};[/tex]

[tex]2. \ x=\frac{345.6*52.3}{470.7}=38.4[l].[/tex]

Answer:

#2 and #4

Step-by-step explanation:

Anything with a variable squared is not linear

Answer:

60 minutes make an hour

Step-by-step explanation:

Because 1 hour = 60 minutes

Answer:

C2H2 + 3O2 ---> 2CO2 + 2H2O

Step-by-step explanation:

Answer:

Hello! Your answer should be there is a higher rate of change at Company 1.

Step-by-step explanation:

Hope this helped! :)

Have a great rest of your day!

0.10 x 2.000 = 0.2

0.9 = 0.10

1.084=2.000

Answer:

Congress. would equal 80 due to x being worth 1/4 of y's total.

Based on the information given, the person who doesn't qualify for the income tax credit will be A. Ivy, age 22, is single with no dependents. She is not a dependent of another person. She has wages of $6,500 and an investment income of $11,150.

It should be noted that the earned income tax credit is important as it helps low-income workers get a tax break.

From the options given, Ivy is the taxpayer that does not qualify for the 2021 Earned Income Tax Credit. This is because she's not a dependent of another person.

Learn more about tax credit on:

https://brainly.com/question/25895721

Answer:

5.620

Step-by-step explanation:

I hope this helps you

Answer:

0.00025

Step-by-step explanation:

Here is a example

Answer:

-1147

Step-by-step explanation:

Answer:

-1733

Step-by-step explanation:

-5-96*18 = -1733

Answer:

2/45

Step-by-step explanation:

Answer:

  (b)  3 +x = 12

Step-by-step explanation:

To solve these for x, you would ...

  a) divide by 3

  b) subtract 3

  c) add 3

  d) multiply by 3

The subtraction property of equality says you can subtract the same value from both sides of an equation without affecting the value of the variable(s). It is applicable when you need to subtract a quantity in order to get the variable by itself.

Solving 3 +x = 12 would make use of the Subtraction Property.

Recap: There can be no more than 835 people in the concert hall. What inequality represents the number of people, p, allowed in the concert hall? Drag and drop the appropriate symbol to correctly complete the inequality. (p [ ] 835

> < ≤ ≥

Answer: P≥835

Answer: Your Answer Is p≥835 i took the quiz

Step-by-step explanation:

y = -2x + 5

hope this helps!

Answer:

200 BooksStep-by-step explanation:

There are 168 black cubes in the arranagement.

A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.

To get the number of black cubes in the arrangement, we will use the equation below;

Hence there are 168 black cubes in the arrangement.

Learn more about cubes at https://brainly.com/question/1972490

To solve for N, you have to work backwards

1. Take off the absolute sigh

the absolute sign only means that the answer must be positive. So that means N could equal to positive and Negative

2. What is 1x6?

This process is called inverse operation. Where you have division, you have multiplications. The answer is 6.

3. The answer is 6 or negative 6, in the fact that -6 would equal to six in the absolute sign.

I hope this helped! If it's wrong blame me!

Answer:

the correct is 39

Step-by-step explanation:

there is nine number there so the fifth is it and it was in order that helped alot

Answer:

aww i help u.....

Step-by-step explanation:

my answer is letter ~~B CAUSE STUDEN BIS CONDYCTION LIKR FREE AT THE SCORED

Answer:

0.48

Step-by-step explanation:

Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.

Answer:

1. if x + 5 = 12, then x = 7

:Subtraction property of equality

2. If x + y = 20, and y = 5, then x + 5 = 20.

:Substitution property of equality

3. If 2x3 = 11, then 11 = 2x - 3.

:Symmetric property of equality