Write each polynomial in standard form. Identify the leading coefficient.


4x + 2x5 – 6x3 + 2

Answers

Answer 1

Given:

The polynomial is

[tex]4x+2x^5-6x^3+2[/tex]

To find:

The standard form of the polynomial and leading coefficient.

Solution:

In standard form of a polynomial, we arrange the terms in descending order of their degrees.

Leading coefficient is the constant value before the variable with highest power.

Let the given polynomial be p(x).

[tex]p(x)=4x+2x^5-6x^3+2[/tex]

The standard form of the polynomial is

[tex]p(x)=2x^5-6x^3+4x+2[/tex]

The highest power of x is 5 and 2 is before [tex]x^5[/tex]. The leading coefficient is 2.

Therefore, the standard form of the polynomial is [tex]2x^5-6x^3+4x+2[/tex] and the leading coefficient is 2.


Related Questions

I need help plz anyone ​

Answers

Answer:

e

Step-by-step explanation:

Need help with this thank you

Answers

the answer is 56 for the value of x

Answer: x=56

Step-by-step explanation:

I started off by figuring out what’s the total internal angles for a pentagon which is 540

Then i did 72+ 3x +2x+89+99 = 540

And i solved for x=56

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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

B

Step-by-step explanation:

A pond contains 3,000,000 liters of water. How is this number written in scientific notations?

Answers

So bassically I have to write this as it is too short, but the answer is = 3 x 10^7

The given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].

Given that, a pond contains 3,000,000 liters of water.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.57×10³.

The given number written in scientific notations is

3,000,000 = [tex]3\times10^6[/tex]

Therefore, the given number 3,000,000 written in scientific notations is [tex]3\times10^6[/tex].

To learn more about the Scientific notation visit:

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Apply the Pythagorean Theorem to find the distance between points A and C

A: 29 units
B: 40 units
C: 58 units
D: 116 units

Answers

Answer:

c 116

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

help plz show all your steps

Answers

Answer:

$15.5

Step-by-step explanation:

33.50-18=15.5

jope it helps ypu a lot.

solve for 65+5x and please show work :)

Answers

Answer:

If it were supposed to be a factor, 15 ( 3 + x )

Step-by-step explanation:

5 ( 13 + x )

5 x 13 = 65

5 times x = 5x

So you'd add them both,

65 + 5x

I don't think you can get an exact answer for it.

Also in order for me to solve for x, if that's what you are trying to find. You need to give me a (y) to make it into a slope intercept form.

richard klein works as auto mechanic and earns the following commission rates 3.00 percent for oil changes 5.00 percent for tune ups and 6.25 percent on auto parts sales he is guaranteed a minimum salary of $2,450.00 per month last month he brought in $2,500.00 in oil changes $4,500.00 in tune ups and sold $28,200.00 in parts what is his gross pay for the month

Answers

Answer:

Richard's gross pay for the month was $ 4,512.5.

Step-by-step explanation:

Given that Richard Klein works as auto mechanic and earns the following commission rates: 3.00 percent for oil changes, 5.00 percent for tune ups and 6.25 percent on auto parts sales; and he is guaranteed a minimum salary of $ 2,450.00 per month, if last month he brought in $ 2,500.00 in oil changes, $ 4,500.00 in tune ups and sold $ 28,200.00 in parts, to determine what is his gross pay for the month the following calculation must be performed:

2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X

2,450 + 75 + 225 + 1,762.5 = X

2,450 + 2,062.5 = X

4,512.5 = X

Thus, Richard's gross pay for the month was $ 4,512.5.

A 8-foot ladder touches the side of a building at a point 6 feet above the ground. At what height would a 22-foot ladder touch the building if it makes the same angle with the ground as the shorter ladder? Round to the nearest tenth if necessary.

Answers

Answer:Katie is 100 cm tall and is standing so that her mother's shado covers her shadow. She is 90 cm from her mother and her mother's shadow is 225cm long. How tall is her mother?

Step-by-step explanation:

Somebody help me quickly please:)

Answers

I believe c since it's 2 times smaller and the letters are going in the same alphabetic order as the first rectangle
C I’m pretty sure sorry if I’m wrong

I need help very fast please!

Answers

i’m not sure maybe D
i think it is B not sure tho:)

find the value of given expression

[tex] \sqrt{66 + 15} [/tex]

Answers

Answer:

9

Step-by-step explanation:

Hope this helps, let me know if im correct

Answer:

√{66+15}=√81=√9²=±9 is your answer

Ewen has 48 white tiles and 16 blue tiles.
Write down the ratio of the number of white tiles to the number of blue tiles.
Give your ratio in its simplest form

Answers

Answer:

3:1 in simplest form

Step-by-step explanation:

3:1. You have to find out what times 16 equals 48. 16 x 3 is 48 which means it’s 3:1

Use the scientific calculator if needed
Sin^-1 squareroot 2/2

Answers

Answer:

sin^-1 square root 2/2

=90

A data set that consists of many values can be summarized using the five-number summary. Arrange these five values in order from least to greatest. median maximum minimum Q1 Q3

Answers

Answer:

minimum, Q1, median, Q3, maximum.

Step-by-step explanation:

i did the test

Answer:

minimum, Q1, median, Q3, maximum.

Which trinomials are perfect square trinomials?
Select each correct answer.
O y2 + 18y + 81
O y2 + 20y + 100
O y2 + 25y + 200
Oy + 6y + 36

Answers

The correct answer is y2+20y+200
Answer is the following y2+25y+200

Evaluate the expression when y = 6 and x = 9
x+8y

Answers

Answer:

57

Step-by-step explanation:

9+8(6)

9+48

57

Answer:

57

Step-by-step explanation:

8*6=48

9+48=57

For the expression, combine like terms and write an equivalent expression 3 points
with fewer terms 1/2 (6 -4x) + 2 + 9x. *

SOMEONE HELP PLEASE !

Answers

Answer:

5+7x

Step-by-step explanation:

1/2(6-4x) +2 +9x

3-2x+2+9x

5+7x

A pilot took 1/2 hr to complete 1/3 of his trip. How much longer will it take him to complete his trip?

Answers

Answer:

1 hour

Step-by-step explanation:

The length of a guys wire supporting a cell tower is 120 meters. The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower . To the nearest hundredth of a meter , how tall is the tower ?

Answers

Answer: 89.4427

Step-by-step explanation: I apologize if I am wrong; I used Pythagorean Thyreom, and I used the formula a=√c^2-b^2 since we are solving for side a.

a=√120^2−80^2

a=√14400−6400

a=√8000

a=89.4427

I hope this is what you are looking for :)

Pythagoras is the sum of the square of two sides is equal to the square of the longest side. Then the height of the tower is 89.44 m.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

The length of a guy's wire supporting a cell tower is 120 meters.

The guy wire is anchored to the ground at a distance of 80 meters from the base of the tower.

We know that the Pythagoras theorem.

[tex]\rm H^2 = P^2 + B^2[/tex]

We have

H = 120 m

B = 80 m

Then by the Pythagoras theorem, we have

[tex]\rm P = \sqrt{H^2 - B^2}\\\\P = \sqrt{120^2 - 80^2}\\\\P = \sqrt{14400 - 6400}\\\\P = \sqrt{8000} = 89.44[/tex]

Thus, the height of the tower is 89.44 m.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

In AVWX, v = 21 cm, w = 64 cm and X=23°. Find the length of x, to the nearest
centimeter.

Answers

Answer:45cm

Step-by-step explanation:delta

Find RS 2x+15 3x+5 6x-37

Answers

Answer:2x+15+6x-37/2=3x+5

We move all terms to the left:

2x+15+6x-37/2-(3x+5)=0

We add all the numbers together, and all the variables

8x-(3x+5)+15-37/2=0

We get rid of parentheses

8x-3x-5+15-37/2=0

We multiply all the terms by the denominator

8x*2-3x*2-37-5*2+15*2=0

We add all the numbers together, and all the variables

8x*2-3x*2-17=0

Wy multiply elements

16x-6x-17=0

We add all the numbers together, and all the variables

10x-17=0

We move all terms containing x to the left, all other terms to the right

10x=17

x=17/10

x=1+7/10

The value of RS is 31.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If RS and UT are parallel, then their corresponding sides are proportional. Thus,

RS/UT = (2x + 15)/(6x - 37)

Now,

RS/UT = (2x + 15)/(6x - 37)

Cross-multiplying.

(2x + 15)UT = RS(6x - 37)

Expanding and simplifying.

2xUT + 15UT = 6xRS - 37RS

Rearranging.

6xRS - 2xUT = 15UT + 37RS

Factorizing.

2x(3RS - UT) = 15UT + 37RS

Dividing both sides by (3RS - UT):

2x = (15UT + 37RS)/(3RS - UT)

Substituting RS = 2x + 15 and UT = 6x - 37:

2x = (15(6x - 37) + 37(2x + 15))/(3(2x + 15) - (6x - 37))

Simplifying

2x = (90x - 555 + 74x + 555)/(6x + 36)

2x = (164x)/(6x + 36)

Multiplying both sides by (6x + 36):

12x² + 72x = 164x

Simplifying

12x² - 92x = 0

Factoring out 4x.

4x(3x - 23) = 0

So,

x = 0 or x = 23/3.

Since x cannot be 0 (as it would make UT = -37, (which is not possible),

x = 23/3.

Substituting this value of x into RS = 2x + 15.

RS = 2(23/3) + 15 = 31

Thus,

The value of RS is 31.

Learn more about expressions here:

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In the year 2006, a person bought a new car for $24000. For each consecutive year after that, the value of the car depreciated by 10%. How much would the car be worth in the year 2010, to the nearest hundred dollars?

Answers

Answer:

$15,746.400

Step-by-step explanation:

The computation of the car value in the year 2010 is shown below:

Since the new car brought in the year of 2006 at $24,000

And, it would be depreciation by 10%

So, in the year 2010 the car value would be

= $24,000 × (1 - 0.10)^4

= $24,000 × 0.9^4

= $15,746.400

steps for gcf of 40x, 60x

Answers

1. Find all of the factors for 40.
2. Find the factors of 60.
3. You should come up with a common factor which is a common number listed for both 40 and 60.

Answer:

20x

Step-by-step explanation:

1) Identify commonalities in the numbers at hand (x + 40 divisible by 1, 2, 4, 5, 8, 10, 20, 40 and 60 divisible by 1,2,3,4,5,6,10,12,15,20,30,60) overlap is x and 1,2,4,5,10,20) 20 is the highest factor and x is the only factor.

2) put them together GCF: 20x


B
15
C
9
A
Find the length of "a"using
the Pythagorean Theorem.
Enter

Answers

Answer:

12

Step-by-step explanation:

Im assuming that 15 is the hyp. of the triangle.

Multiply 9 twice and 15 twice

Then subtract 225-81 and you get 144. Find the square root and you get 12.

A certain bacteria can double in 6 hours. How long will it
take the bacteria to increase from 20 to 140? (Hint: First find
the constant k)

Answers

Answer:

it can go to 160 on in 18 hours so the the answer could be 26 hours

a box of cereal states that there are 90 calories in a 3/4-cup serving. How many calories are there in 4 cups of the cereal.

Answers

Answer:

480 calories

Step-by-step explanation:

4 ÷ 3/4= 5 1/3 servings

90 x 5 1/3= 480

plss. pa answers ?

thanks po

Answers

Answer:

Graph 3

Line starting at x = -2

Domain: x ≥ -2Range: y ≥ 0Graph 4

Vertical line

Domain: x = 3Range: y = any real numberGraph 5

Quadratic function with negative leading coefficient and max value of 3

Domain: x = any real numberRange: y ≤ 3Graph 6

Curve with non-negative domain and min value of -2

Domain: x ≥ 0Range: y ≥ -2Graph 7

Line with no restriction

Domain: x = any real numberRange: y = any real numberGraph 8

Quadratic function with positive leading coefficient and min value of 4

Domain: x = any real numberRange: y ≥ 4Graph 9

Parabola with restriction at x = -4

Domain: x = any real number except -4Range: y = any real numberGraph 10

Square root function with star point (2, 0)

Domain: x ≥ 2Range: y ≥ 0

here is another math thingy

Answers

Answer:

17 mi

Step-by-step explanation:

170/10=17

Answer:

17

Step-by-step explanation:

170 divided by 10 = 17

Double check: 17 x 10 = 170 (area).

Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D

Solve the the equation by substitution
5x=-2y+48
x=-3y+20​

Answers

Answer:

(8, 4)

Step-by-step explanation:

i hope this helps :)

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