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

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

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)

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

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

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

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.

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:

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

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:

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

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

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:

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

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

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

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

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

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

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

I need helppp please​

Answers

Answer:

How pooor are you it'svery hard

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

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?)

29 can go into 57 how many times

Answers

Answer: 1.96551724138

Step-by-step explanation:

Answer:

1653

Step-by-step explanation:

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

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

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

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]

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:

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

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 :)

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