what is the maximum number of terms a fourth-degree polynomial function in standard form can have?

Answers

Answer 1

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

The general form of an nth degree polynomial is:

[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

The maximum number of terms that an nth -degree polynomial can have is n+1

For a fourth degree polynomial, n = 4

Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]

[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]

The maximum number of terms of p(x) above, when n = 4 is (4+1)

The maximum number of terms fourth-degree polynomial function in standard form can have is 5

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Related Questions

Suppose there is a 1.2 farenhight drop in temperature for every thousand feet that an airplane climbs into the sky. If the temperature on the ground is 45.8 farenhight ​, what will be the temperature when the plane reaches an altitude of 6,000 ft ​?

Answers

Answer:

38.6Fahrenheit

Step-by-step explanation:

Given that the plane reaches 6,000 ft

And for every 1000 ft there is a drop of 1.2 Fahrenheit

Therefore there is a total drop of (6*1.2)

Note There are six one thousand in six thousand

6*1.2=7.2Fahrenheit

Also the temperature on the ground is

45.8 Fahrenheit

The temperature when the plane reaches 6,000 ft will be

45.8-7.2=38.6Fahrenheit

What are the y vale’s of the equation y = -3x + 4 at x values -1, 0, 1, 2?

Answers

Answer:

(-1, 7)

(0, 4)

(1, 1)

(2, -2)

Step-by-step explanation:

y = -3x + 4

y = -3(-1) + 4 = 3 + 4 = 7

y = -3(0) + 4 = 4

y = -3(1) + 4 = 1

y = -3(2) + 4 = -6 + 4 = -2

“six more than three times x is less than 12

Answers

Answer:

6+3x<12

do u need x or just this

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Barry and Michael lifted and moved a television that weighed 45 pounds. About how much did the television weigh in kilograms? (1 pound ≈ 0.454 kilograms)

Answers

Answer:

I NEED HELP WITH THIS TWO

Step-by-step explanation:

? i need help two


6 = m - 16


a) m = 20
b) m = 24
c) m = 22
d) m = 21​

Answers

Answer:

c

Step-by-step explanation:

C; to get m, you isolate it by getting rid of 16. To get rid of 16, you add it to both sides. 16 and 6 is 22 and -16 cancels out 16, so you are left with m=16 :)

0.39/0.75 as a decimal​

Answers

Answer:

0.52

Step-by-step explanation:

Divide.

Answer:

0.3333333333333333333333 it non terminating

2 5. 8 11 X 2 -4 8 у 14 What is the equation of the given table?​

Answers

Answer:

8-6+-2

Step-by-step explanation:

Please help asap!! I'll give you brainliest!!

What is the slope of the function, represented by the table of values below?

Answers

Answer:

-4

Step-by-step explanation:

To find the slope, you can use the formula y2-y1/x2-x1. Plugin any set of values. Say 13 is y2, and 5 is y1. 13-5=8. We now have 8/x2-x1. You have to use the x-values of the y-values that you already used. -2 is x2 and 0 is x1. -2-0=-2. 8/-2 = -4.

-4x+3=-2 y=x-1 solve for x and y

Answers

Answer:

x=1 1/4 (1.25), y=1/4

Step-by-step explanation:

Since the equation "y=x-1" seems simple enough, we're going to plug that in for our other equation, "-4x+3=-2".

1. Rearrange y=x-1 to fit our other equation, -4x+3=-2.

y=x-1 (add 1 to both sides)

y+1=x x=y+1

2. Plug our newly rearranged equation into -4x+3=-2.

-4(y+1)+3=-2

-4y-4+3=-2 (distributive property)

3. Add/subtract like terms.

-4y-1=-2

4. Get y to be by itself.

-4y=-1 (add 1 to both sides)

y=1/4

1. Now for y=x-1. Plug 1/4 into y.

1/4=x-1

1 1/4=x


A store is having a sale on hats. The sale is buy one hat, get one 50% off. The original price of one hat is $34.98. Nate bought several hats, and the
total cost was $262.35.
How many hats did she buy

Answers

Answer:

15 hats

Step-by-step explanation:

First off, we need to divide 34.98 by 2 because it is 50 percent off.

We get 17.49 dollars.

262.35/ 17.49 because we need to find out how many hats Nate bought.

We get 15 hats

0.000 000 000 000 000 000 000 000 001 672 622 kg.
The mass of a proton is
In scientific notation it is

Answers

Answer:

  1.672 x 10 27

Step-by-step explanation:

Which analogy best represents the relationship between jobs and careers? "a muffin or a cookie," and a job is like "baked goods." "tools," and a job is like "a hammer or a screwdriver." "a building block," and a job is like "a castle or a tower." "a speedboat or a powerboat," and a job is like "a sailboat."

Answers

Correct options read:

A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

C) A career is like “a building block,” and a job is like “a castle or a tower.”

D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”

Answer:

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Explanation:

Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.

Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").

Answer:

B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Step-by-step explanation:


The volume, V, of a certain gas varies inversely with the amount of pressure, P. placed on it. The volume of this gas is 175
cm' when 3.2 kg/cm² of pressure is placed on it. What amount of pressure must be placed on 400 cm' of this gas?
2.86 kg/cm2
1.31 kg/cm?
7.31 kg/cm2
1.40 kg/cm2

Answers

Answer:

1.3 kg/cm

Step-by-step explanation:

Tell me a cool, fun fact, best fact gets. Brainliest

Answers

Answer:

The moon has moonquakes.

Step-by-step explanation:

The heads on Easter Island have bodies.

Find the value of each variable.

Answers

X = 5
M1 = 22
M5 = 22
The measure of angle 1 and 5 are congruent

7. Given (3, 5) and (-2, 1), find the slope of the line passing through these two points.​

Answers

Answer:

4/5

Step-by-step explanation:

y2-y1/x2-x1 so....... 5-1/3-(-2)

You plug it into the equation for calculating slope:

(Y₂ - Y₁) ÷ (X₂ - X₁)

Let X₂ be 3 and Y₂ be 5.

X₁ = -2 and Y₁ = 1.

(5 - 1) ÷ (3 - (-2))

4 ÷ 5

4/5

The slope is 4/5.

Hope this helps

An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches. Find the width of the photograph.

Answers

Answer:

just subtract i think and you will get

Step-by-step explanation:

13.6 - 12 = 1.6

The width of the photograph will be 6.4 inches.

What is a Pythagoras theorem?

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as,

H² = P² + B²

An old rectangular wedding photo has a diagonal length of 13.6 inches and a height of 12 inches.

Then the width of the photograph is calculated as,

13.6² = 12² + w²

184.96 = 144 + w²

w² = 40.96

w = 6.4 inches

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ3

a fair coin is tossed 14 times, what is the probability of exactly 6 heads

Answers

Answer:

42.85% or 6/14

Step-by-step explanation:

6 / 14 = 0.428571428571

0.428571428571 * 100 ~ 42.85%                

Can I get Brainliest?                    

Solve for f 7a - 3d + 6f = 5

Answers

Answer:

f = 5/6 - 7a/6 + d/2

Step-by-step explanation:

Express as a trinomial.



(x−5)(x−2)

Answers

Answer:

x^2 - 7 x + 10

Step-by-step explanation:

use the foil method to multiply the terms.

Also - you can just plug these types of equations into WolframAlpha...

in this case you are looking for "expanded form"

Solving each proportions 10/8=n/10

Answers

Answer:

n=12.5

Step-by-step explanation:

10/8=n/10

multiply the denominator and numerators 10 ad 10=100 divide by 8=12.5

There are approximately 1.2 × 10 8 households in the U.S. If the average household uses 400 gallons of water each day, what is the total number of gallons of water used by households in the U.S. each day?

Answers

Answer:

Que

Step-by-step explanation:

Given that 1 pound equals 16 ounces, how many pounds are in 116 ounce -) A) 6.75 pounds B) 7.25 pounds 7.5 pounds D) 7.75 pounds​

Answers

Answer:

B)7.25

Step-by-step explanation:

16x7.25=116

Someone helppppppppppppp

Answers

Answer:

10 and 11

Step-by-step explanation:

10 and 11.

These are the closest whole numbers, because the square root of 100 is 10, and the square root of 121 is 11.

If this helped, please rate and give THANKS!

Write the product as a power.
5 X 5 X 5 X 5 =

Answers

Answer:

4 that is the answer...........

5

help me plz my grade a f

Answers

Answer:

100%

Step-by-step explanation:


Misty is driving on a scenic road trip, and the graph shows the number of hours traveled compared to the number of miles of the trip
remaining. Use the graph below to the answer
450
MILES REMAINING
50
HOURS TRAVELED
Write an equation of the graph in slope-intercept form.

A) y=-100/3x+450
B) y=100/3x-450
C) y=450x+100/3

Answers

Given:

Consider the below figure attached with this question.

To find:

The equation of the graph in slope-intercept form.

Solution:

From the graph it is clear that, the line passes through (0,450) and (3,350).

So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-450=\dfrac{350-450}{3-0}(x-0)[/tex]

[tex]y-450=\dfrac{-100}{3}x[/tex]

Add 450 on both sides.

[tex]y=-\dfrac{100}{3}x+450[/tex]

Therefore, the correct option is A.

Answer:

A

Step-by-step explanation:

donno

What is the rate of change from 2
gallons to 4 gallons? Pls I need help!!

Answers

Answer:

2 gallons

Step-by-step explanation:

In a triangle, the measure of the middle angle
is triple the measure of the smallest angle, and
the measure of the largest angle is 55° greater
than the measure of the smallest angle. Find
the measures of the
angles.

Answers

Let the smallest angle in a triangle be = x

Largest angle in a triangle = 55 + x

The middle angle in a triangle = 3x ( triple the measure of the smallest angle )

Their sum = 180° ( according to the angle sum property all the angles of a triangle sum up to 180° )

This can be written as :

= x + 55 + × + 3x = 180

Let us find each angle by solving the equation .

= x + 55 + x + 3x = 180°

= x + x + 3x + 55 = 180°

= 5x + 55 = 180°

= 5x = 180 - 55 ( transposing +55 from LHS to RHS changes +55 to -55 )

= 5x = 125

= x = 125 ÷ 5 (transposing ×5 from LHS to RHS changes ×5 to ÷5 )

= x = 25

Using this let us find the measure of each angle .

Smallest angle = x = 25

Smallest angle = 25°

Middle angle = 3x = 3 × 25 = 75

Middle angle = 75°

The largest angle = x + 55 = 25 + 55 = 80

Largest angle = 80°

Therefore , the measure of the smallest angle = 25° , the measure of the middle angle = 75° and the measure of the largest angle = 80° .

We have that the measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

From the question we are told that:

The measure of the middle angle  is triple the measure of the smallest angle

The measure of the largest angle is 55° greater  than the measure of the smallest angle

Let

[tex]\theta_1=Largest\ angle[/tex]

[tex]\theta_2=Middle\ angle[/tex]

[tex]\theta_3=Smallest\ angle[/tex]

Therefore

[tex]\theta_1=55 \textdegree+\theta_3\\\\\theta_2=3*\theta_3[/tex]

Generally, the equation for the angle of a triangle is mathematically given by

[tex]\theta_1+\theta_2+\theta_3=180[/tex]

Therefore

[tex]55 \textdegree+\theta_3+3*\theta_3+\theta_3=180[/tex]

[tex]\theta_3=25 \textdegree[/tex]

Therefore

Substitute [tex]\theta_3[/tex] into equations of [tex]\theta_1[/tex] and [tex]\theta_2[/tex]

For [tex]\theta_1[/tex]

[tex]\theta_1=55 \textdegree+25 \textdegree\\\\\theta_1=80 \textdegree[/tex]

For [tex]\theta_2[/tex]

[tex]\theta_2=3*\theta_3[/tex]

[tex]\theta_2=3*25 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

in conclusion

The measures of the  angles are as follows

[tex]\theta_1=80 \textdegree[/tex]

[tex]\theta_2=75 \textdegree[/tex]

[tex]\theta_3=25 \textdegree[/tex]

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https://brainly.com/question/17581080

name the sets of numbers to which 7/9 belongs

Answers

Answer:

OK.

the sets are

natural numbers (or counting numbers), this is like 1,2,3,4,5 etc

whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc

integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc

rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here

-7/9 goes in the rational set

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