Determine if ƒ(x) = –x3 – x4 – 9 + 6x is a polynomial function. If it is, state the degree and the leading coefficient. If not, state why.

Answers

Answer 1

Answer:

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.

Step-by-step explanation:

Given function is:

ƒ(x) = –x^3 – x^4 – 9 + 6x

Putting the terms in order of their power.

[tex]f(x) = -x^4-x^3+6x-9[/tex]

A polynomial is an algebraic expression which involves only positive integer exponents for the variables.

A polynomial function is of the form:

[tex]p(x) = a_nx_n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}........ a_0[/tex]

We can see that the function has no negative exponent. So the given function is a polynomial function.

The degree of a polynomial is the highest exponent of variable involved and leading co-efficient is the co-efficient of the variable with highest power.

Hence,

The given function is a polynomial function.

The degree of the function is 4 and leading co-efficient is -1.


Related Questions

Look Please"/--------

Answers

Answer:

80

Step-by-step explanation:

Answer:

80

Step-by-step explanation:

i did 12*6 then i did 2*4 then i add the products

Ignore the selected answer in this, I just need to know what the value is pls. 15 POINTS!!!

Answers

Answer:

Try C. if not then its B.

Step-by-step explanation:

someone help me plzzz this is absolute value thx

Answers

Answer:

10: -5

11: 9

12: 12

Step-by-step explanation:

I got to put stuff here but those answers are correct

Answer:

im stealing these

Step-by-step explanation:

Natasha and Richard win some money and share it in the ratio 5:2. Natasha gets £75. How much did Richard get?

Answers

Answer:

Richard got $30

Step-by-step explanation:

To find how much money Richard got, use cross multiplication:

[tex]\frac{5}{2}=\frac{75}{x}[/tex]

5x = 150

x = 30

Richard got $30.

1.2
Determine the area of the square ABCD with
AB=3cm.
А 3ст в
D
C С​

Answers

Answer: 9

the area of the square ABCD is 3² = 9 (cm²)

Step-by-step explanation:

29 can go into 57 how many times

Answers

Answer: 1.96551724138

Step-by-step explanation:

Answer:

1653

Step-by-step explanation:

Tysm show the work...... TYYYY

Answers

Answer:

48

Step-by-step explanation:

by doing LCM

Answer:

4 arrangements

Step-by-step explanation:

The greatest number that both 8 and 12 are divisible by is four. If you were to split them up into four arrangements, each one would have two pink roses (8/4=2) and three white roses (12/4=3) with no leftovers :) so visually it would look like WWWPP WWWPP WWWPP WWWPP

If f(x) = 4x + 5. what is the value of f (-3)?

Answers

Plug in -3 for x
f(-3) = 4(-3) + 5
f(-3) = -12 + 5
f(-3) = -7

Answer:

f (-3) = 7

Step-by-step explanation:

f (-3) = 4 (-3) + 5

       = -12 + 5

       = -7

Make it 0 on one side

x2 - 2x + = 4(x2-2x +1)-3

Answers

Answer:

-3x² +6x -1 = 0

Step-by-step explanation:

x2 - 2x + = 4(x2-2x +1)-3

x² - 2x = 4x²-8x +4 - 3

x²-4x²-2x+8x = 4-3

-3x² +6x = 1

-3x² +6x -1 = 0

HELP ME ASAP 10 POINTS ANWSER NUMBER 3

Answers

Answer:

???

Step-by-step explanation:

This is a little confusing, please try explaining it more. Also, is this a live quiz or exam? (Or something like that?)

at the store you can get 15 cans of peaches for 3 dollars find the unit rate for 1

Answers

You can get 5 cans per dollar

And is the same as saying 15 cans of peaches divided by 3 dollars

-- Actually i'm pretty confused about the question so i'll come back to this later

f(x)=-x²-2x-8 determine the vertex

Answers

Answer:

vertex = (- 1, - 7 )

Step-by-step explanation:

Given a parabola in standard form, f(x) = ax² + bx + c (a ≠ 0 )

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = - x² - 2x - 8 ← is in standard form

with a = - 1 and b = - 2, then

[tex]x_{vertex}[/tex] = - [tex]\frac{-2}{-2}[/tex] = - 1

Substitute x = - 1 into f(x) for corresponding y- coordinate

f(- 1) = - (- 1)² - 2(- 1) - 8 = - 1 + 2 - 8 = - 7

vertex = (- 1, - 7 )

For a quadratic function like this, the vertices are points of symmetry.
We can use a shortcut such that:
x
=

b
2
a

In your case,
b
is 2 and
a
is 1. So:

2
2

1
=

1
Answer is -1

There are 33.8 fluid ounces in a liter. There are 128 fluid ounces in a gallon. About how many liters are in a gallon? 2 3 4 5 Is your estimate larger or smaller than the actual number of liters in a gallon? Explain how you know. HTML EditorKeyboard Shortcuts

Answers

Answer:

1 gallon = 3.7869 Liter (Approx)

Step-by-step explanation:

Given:

1 liter = 33.8 ounces

1 gallon = 128 ounces

Find:

How many liters are in a gallon

Computation:

1 ounces = [ 1 / 33.8 ] liter

1 gallon = 128 ounces

1 gallon = 128 [1 / 33.8]

1 gallon = 3.7869 Liter (Approx)

How much should Tabitha Lange budget monthly for insurance that costs $956.89 for the entire year? *
79.74
956.89
159.48
350.40
WILL GIVE BRAINLIEST

Answers

Answer:

$79.74

Step-by-step explanation:

$956.89 devide by 12

can someone please help me please and thank you. with both of them i need a math genius I'll mark you brainliest​

Answers

Answer:

The first one is $41,400. The second one is 3,600,000 acres.

Step-by-step explanation:

The first one is $41,400 and the second one hold up let me check

4. Evaluate: (-7 - 41)(8 - 6) A) -32 + 10i C) -80 - 10i B) -80 - 10i D) -32 + 741

help me please

Answers

Answer:

Step-by-step explanation:

(-7-41)(8-6)

-48*2

-96

This is what I got. I don't see anything in the equation that has "i" in it.

If it is supposed to be (-7-4i)(8-6) foil the problem.

-56+42-32i+24i  combine like terms

the answer is -14-8i

What is the sign of B + A? Choose 1 answer: Positive B Negative Neither positive nor negative-the sum is zero.​

Answers

ince they are equal in absolute value and merely differ in being positve or negative, result in a sum of 0

Brainlist help now
question in the picture .

Answers

It’s just C anyway if you need anymore help lmk id be glad C. -2

Answer:

A

Step-by-step explanation:

I need helppp please​

Answers

Answer:

How pooor are you it'svery hard

In a scale drawing of a house, 2 inches : 5 feet. The actual kitchen of the house will be 17 feet long. How long will the drawing of the kitchen be?

A. 5.2

B. 6.8

C. 7.5

D. 8

Answers

The answer is b ( 6.8 ) you welcome

Solve the following linear equations
(i) 2(k − 3) = k +7
(ii) = -9
E
g+8
2​

Answers

Answer:

The value of k=13

Step-by-step explanation:

Given the equation

[tex]2\left(k\:-3\right)\:=\:k\:+7[/tex]

[tex]2k-6=k+7[/tex]

Add 6 to both sides

[tex]2k-6+6=k+7+6[/tex]

[tex]2k=k+13[/tex]

subtract k from both sides

[tex]2k-k=k+13-k[/tex]

[tex]k=13[/tex]

Therefore, the value of k=13

18+6q=9
please solve this​

Answers

Answer:

Exact Form: q = -3/2

Decimal Form: q = -1.5

Mixed Form: q = -1 1/2

Step-by-step explanation:

Hope this helps!

Answer:

6q=9-18=( -9)

q=(-9)/6

q=(-3)/2

A clothing store sends out a sample of a new fabric to 300 random homes 2 points
and asks them to fill out a survey about how much they like the sample.
Each person who responds and fills out the survey will have a chance to
win a $25 gift card. Does this represent a biased or unbiased sample?
Explain your answer. *
Your answer

Answers

Answer:

250

Step-by-step explanation:

hope that helps

Evaluate the expression: 2/3p + 3 where p = 3/5

Answers

Answer:

17/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

2/3p + 3

p = 3/5

Step 2: Evaluate

Substitute:                    2/3(3/5) + 3Multiply:                        6/15 + 3Simplify:                        2/5 + 3Add:                              17/5

someone help pls
24 + 4(-7)

Answers

Answer:

-4

Step-by-step explanation:

Answer:

-4

Multiply (-7) and (4) to get -28

Then combine 24-28=-4

y=2x-6
-3. Y
0. Y
3. Y
6. Y
Solve for Y

Answers

Answer:

y=0

Step-by-step explanation:

y=2x-6 (add 6 to both sides)

6=2x (divide 2 to both sides)

3=x

-----------------------------------------------------------------------------------------------------------------

y=2(3)-6

y=6-6

y=0

Please helppp I’m struggling give your awnser in simplest form.

Answers

Answer:

[tex]\frac{3}{4}[/tex]

Step-by-step explanation:

To find the slope, you need to find any 2 points on the line.

In this case, there is a point at (0, 0), and a point at (4, 3).

Formula for slope: [tex]m = \frac{rise}{run}[/tex]

The rise is the change in the y axis from point 1, in this case (0, 0), to point 2, in this case (4, 3). The run is the change in the x axis from point 1 to point 2.

You can subtract the point 1 values from point 2 to get the rise and run:

[tex]m = \frac{3 - 0}{4 - 0} = \frac{3}{4}[/tex]

help asap show work plzz

Answers

Answer:

slope= -5/2

slope= -1

slope=1/2

10. slope=-1/3

-5y=7x+20

y=-7/5x-4

11. slope=-7/5

y=-5x+3

12. slope = -5

89 + z = -38, z =
what is the answer

Answers

Answer:

-127

Step-by-step explanation:

89+z=-38

-89     -89

z=-127

Answer:

127

Step-by-step explanation:

89+z=-38

89+38=z

127=zor z=127

What is the exact value of sin(75°)?

One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction StartStartRoot 2 minus StartRoot 3 EndRoot EndEndRoot Over 2 EndFraction
StartFraction StartStartRoot 2 + StartRoot 3 EndRoot EndEndRoot Over 2 EndFraction

Answers

Answer:

C

Step-by-step explanation:

I guessed on mine

Answer:

C.

Step-by-step explanation:

got it right on edge :)

Other Questions
what are the literary devices found in the bookseller by Roald Dahl? -x+2y=6 and -x+8y=12 solve by elimination (help please) If macro molecules are known as polymers why is each subunit known as a monomer? Monroe has decided that he wants to be a sound engineer. He is looking for programs, but there are not very many sound engineering programs at four-year colleges. However, his local community college has a program that includes an internship. Is he better off getting a four-year degree?Yes, a four-year college degree is always the best choice.No, college degrees are not needed in digital media careers.No, a sound engineering career requires technical skills and experience.Yes, he just needs to keep looking for more colleges with the programs he wants. Would someone mind helping me? I really need this answer but I'm so confused. I would appreciate any help :) and if you get the answer right, ill give you brainliest. divde the following sentence into different parts. Srijana will be reading a story Which category includes the terms carbon dioxide, methane, nitrous oxide, and CFCs?solar radiationsystemstexturesgreenhouse gases What major city can be found in the area outlined by the black square? A. JacksonvilleB. Indianapolis C. HoustonD. New Orleans Edhesive 4.8 code practice:Question 2 answers The era between 1820-1840, democracy saw which of the following? A force of attraction between the opposite of charges of the ions in an lonic compound is called what? Help me I need to be done pls A baker at a bakery had made 20 pastries after 1 hour of work. After 8 hours, he had made 83 pastries. M= ? Which type of democracy does England have?directrepresentative Two crops that dominated Carolina agriculture were rice and Indigo.A:TrueB:False What was the purpose of the Office of War Information?Why did the Britain, France, and the United States embrace the policy of appeasement? What military tactic did Philip II use to defeat the Greek city-states? He fought a defensive war on land. He used the navy to fight battles at sea. He drew enemy soldiers into narrow areas. He relied on long-standing military technology. A painter needs to buy a new pulley system. Both systems have an input work of 100 J, but the old system model has an output work of 60 J and the new system model has an output work of 75 J. Which system is more efficient? Which of the statements are true about the collision of two objects with differentmasses based on Newton's laws of motion?A. Each object experiences an equal and opposite force.B. The more massive object will exert a greater force on the less massive object.Each object will accelerate in an opposite direction from the other but at adifferent rate.D. The less massive object will accelerate due to the force of the collision, but themore massive object will not. HELP ASAP!! How do visual elements in the text entitled "Synesthesia: Its a Colorful World!" aid in your comprehension? GIVING 7 or 14 POINTS.