Which of the following polynomials is in standard form?
SHESH Tecaci
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O A. F(x) = 5x + 2x³ - x² - 3
OB. F(x) = -3+5x - x² + 2x³
O c. F(x) = -3 - x² + 2x³ + 5x
O D. F(x) = 2x³ - x² + 5x − 3
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Answers

Answer 1

F(x) = 2x³ - x² + 5x − 3 is the polynomial that is in standard form. Thus, option D is correct.

What is polynomial?

Algebraic expressions called polynomials can include exponents that are multiplied, divided, or added. Different types of polynomials exist. specifically, monomial, binomial, and trinomial. A polynomial with only one term is referred to as a monomial. A polynomial with two unlike terms is referred to as a binomial. An algebraic expression with three terms is known as a trinomial.

Monomials - The term "monomial" refers to algebraic expressions with a single term. In other words, it is an expression that includes any number of similar terms. Hence the name "Bi"nomial," binomials are algebraic expressions with two unlike terms. Trinomials - Trinomials are algebraic expressions with three dissimilar terms, hence the name "Tri"nomial.

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Related Questions

Three fourth of the students and an additional 18
students at the school purchased a spirit shirt during the
last fundraiser. If 336 shirts were ordered, how many
students are there in the school?

Answers

Answer:

424

Step-by-step explanation:

let 's' = number of students

3/4s + 18 = 336

3/4s = 318

3s = 1272

s = 1272/3 = 424

Use long division to rewrite 5/8 as a terminating decimal

Answers

Answer:

0.625

Step-by-step explanation:

URGENT PLEASE ANSWER QUICKLY!!!!!!!! (WILL MARK BRAINLYIST)
Stacey delivers newspapers. She earns $15 each week plus $2.00 for each customer on her route.

Determine how much money she earns after delivering to 10, 20, 30 and 40 customers using the function f(x) = 2x + 15

x f(x)

Answers

Answer:

for 10 people she makes 35$

for 20 people she makes 55$

for 30 people she makes 75$

and for 40 people she makes 95$

Step-by-step explanation:

just plug the number of people (10, 20, 30, 40) into the x in the equation.

need help plz answer

Answers

Answer:

ok so basically, graph -4 and make a line going left.

Step-by-step explanation:

-10  -9 . -8 . -7 . -6 . -5 . -4

<---------------------------------o----->

Do it like that if you can

What is the value (34)3

Answers

Answer:

(34)3 OR 34 x 3 = 102

Step-by-step explanation:

Hope this helps! :)

Answer:

Well..

Step-by-step explanation:

34x3 102

Hope this helps!

25 less than 4 times a number is 47. What is the number?

Answers

Answer:

18

Step-by-step explanation:

25 + 47 = 72

72 ÷ 4 = 18

Write the ratio ( 4/7 1/9 ) in the simplest form

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

jackie bought 15 cookies for $3 . How much will she have to pay for 35?

Answers

Step-by-step explanation:

15=3

35=x

15x=3×35

x= 3×35÷15

x=105÷15

x=7

I need some help plz!!!

Answers

1.04 kilograms

1 gram = .001 kilogram
2x520= 1040
1040 x .001 = 1.04 kilograms

good morning!

(+64) + (+31) =

Answers

Answer:

95

Step-by-step explanation:

Answer:

Good morning to you too:)

Step-by-step explanation:

the answer is 95

A phone plan costs $10 per month, plus $0.03 per text message. John wants his phone bill to be less than $40, before taxes. What is the
maximum number of text messages John can send?
A.) 333
B.) 999
C.) 1,333
D.) 1,666

Answers

Answer:999

Step-by-step explanation:

0.03x999=29.97

29.97+10=39.97$

Answer:

39.97

Step-by-step explanation:


25 + 62 x 0.25
Evaluate the expression

Answers

Answer:

40.5

Step-by-step explanation:

25 + 62 x 0.25 =

25 + 15.5 =

40.5

25+62 × 0.25 = 40.5

62 × 0.25= 15.5

25 + 15.5 = 40.5

At home Moses uses all his free time to play video games, road and skateboard. He spends 75% of his free
te reading. 12.5% of his free time is spent playing video games and he skateboards from 5:15PM to
5:45PM How much free time does Moses get in total?

Answers

240 minutes which is 4 hours

3 5 157 5 4 20 2 4 - 2 2- = 2 5 20 (Type wholebes hact fractions, or mi​

Answers

Answer:

look on quizlet you will find your answer to there

A, b birer sayı olmak üzere a. b =12 ise a+b nin en büyük ve en küçük değerini bulunuz?​

Answers

Answer:

en büyük 13 en küçük 7 dir

If a country's saving rate increases, then in the long run\

a. both productivity growth and income growth increase.

b. only productivity growth increases.

c. only income growth increases.

d. neither productivity growth nor income growth increase.

Answers

Answer:

a. both productivity growth and income growth increase.

Step-by-step explanation:

In terms of economics, savings and investment has a direct relationship. The level of savings and investment go hand in hand. There exists a cycle running between the two of them. The amount saved from the savings are then invested in the investment. Low savings indicate that the economy has selected for the short term consumption. For long-term investment, more savings are intended that helps to be the backbone of the economy.

A meter is 100 centimeters. How many
meters are equal to 712 centimeters?

Answers

Answer:

100×712 is equal to 71200

so the equality of 712 is 71200

Answer:

7.12 meters

Step-by-step explanation:

So 1 meter = 100 centimeter

To find how many meters are in 712 centimeters, you have to divide 712 by 100.

[tex]\frac{712}{100} = 7.12[/tex]

Therefore, 7.12 meters is equal to 712 centimeters.

Hope this helps!!

- Kay :)

Emma bought 7 notebooks for $8.75. How much would 2 notebooks cost?

Answers

Answer:

$2.50

Step-by-step explanation:

8.75 / 7= 1.25

1.25 * 2 =2.50

Karen is planting a tree. She wants to use two guy wires to stabilize the tree. If Karen places the guy wires 8 feet up the trunk and 7 feet from the base, how much total wire will she need for both guy wires? Round your answer to the nearest tenth.

Answers

15 feet of wire (I’m pretty sure?)

Answer:

20 ft

Step-by-step explanation:

Plz helpppp!!!!! Much love

Answers

Answer:

B.

Step-by-step explanation:

A random sample of 200 adult residents in the U.S reveals that the mean minutes of sleep they received the night prior to the interview was 528 minutes with a standard deviation of 141 minutes. Using a computer, a random sample of 200 observations was taken (with replacement) from these data and an average was computed and recorded. This was repeated 10,000 times and a visualization was made of this sampling distribution. The mean of the sampling distribution was 528 minutes and the standard deviation was 10 minutes. The sampling distribution was symmetric and unimodal. Which of the following is an approximate 95% confidence interval for the mean amount of sleep of all US residents?
a. Lower bound: 528-141, upper bound: 528+141; (387, 669)
b. Lower bound: 528-10, Upper bound: 528+10; (518,538)
c. Lower bound: 528-20141, upper bound: 528 * 2*141; 246,810)
d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

Answers

Answer:

d. lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

Step-by-step explanation:

The computation of the approximate 95% confidence interval is shown below:

Given that

mean = 528,

standard deviation = 10

[tex]Mean \mp z_{\frac{0.05}{2}}\times standard\ deviation \\\\=528 \mp 2 \times 10\\\\=(508,548)[/tex]

hence, the correct option is d.

The confidence interval gives a range of estimate for the true population mean at a given confidence level. The confidence interval for the mean is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

The confidence interval for the mean is obtained using the relation :

μ ± Z*σZ* = 95% critical level = ±1.96μ = sample mean = 528σ = standard deviation = 10 minutes

Plugging in the values :

528 ± (1.96 × (10))

Approximating Z* (1.96) = 2.00

Lower boundary = 528 - (2 × 10) = 528 - 20 = 508

Upper boundary = 528 + (2 × 10) = 528 + 20 = 548

Therefore, the confidence interval is lower bound: 528-2-10, upper bound: 528+2*10; (508, 548)

The diagram shows two congruent regular pentagons and part of a regular n-sided polygon A. Two sides of each of the regular pentagons and two side of A meet at the pint P. Calculate the value of n.​

Answers

Answer:

n=10

Step-by-step explanation:

For a regular polygon with n sides, each interior angle, x, is given by

[tex]x=180\frac{n-2}{n}[/tex]

This can be solved for n

[tex]n=\frac{360}{180-x}[/tex]

For the pentagons

x(5)=180(3/5)=108 degrees.

The angles around P sum to 360, so

2(x(5))+x(A)=360

x(A)=360-2(108)=144.

Substitue in the equation for n.

n=360/(180-144)=10

The number of sides in this polygon is 10.

For any polygon, the sum of interior angles is given as,

[tex]\bold{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

where,

n = number of sides,

We know that for a pentagon, the number of sides is 5.

thus, substituting the values in the sum of interior angle formula we get,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

[tex]{Sum\ of\ interior\ angles= {5-2}\times{180^o}}\\= 3 \times {180^o} = 540^o[/tex]

therfore, each angle in a regular pentagon,

[tex]\dfrac{Sum\ of\ interior\ angles}{Number\ of\ Sides} = \dfrac{540^o}{5} = 108^o[/tex],

Let's assume that polygon A is having x number of sides.

At point P, the sum of the angles must be 360°.

The sum of the angles at point P

          = interior angle of the first pentagon

          + interior angle of the second pentagon

          + interior angle of the polygon A with x sides

Substituting the values,

360° = 108° + 108° + z

z = 360° - 108° - 108°

z = 144°

Thus, the interior angle of the x sided polygon is z = 144°.

For a regular polygon, all the interior angles are equal,

so, for a polygon with sides x.

the sum of interior angle = measure of interior angle x Number of sides

                                         = [tex]144^o \times x[/tex]

Also, we know

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}[/tex]

Substituting, the values for an x number of side  polygon,

[tex]{Sum\ of\ interior\ angles= {(n-2)}\times {180^o}}\\{144^o \times x = {(x-2)}\times {180^o}}\\144x = 180x - 360\\360 = 180x- 144x\\x = \dfrac{360}{36}\\x = 10[/tex]

Hence, the number of sides in this polygon is 10.

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47,258 redondear el decimal hasta la centésima más próxima ​

Answers

Answer:

I don't speak Spanish

Step-by-step explanation:

Choose the best answer. If necessary, use the paper you were given.
Question
At 8 a.m., the temperature in a city was -8 degrees Celsius (°C). At noon on the same day, the temperature in
the city was 2°C. What was the difference in temperature, in degrees Celsius, from 8 a.m. to noon in the city?
-6°C
2°C
4°C
10°C

Answers

Answer: 10°C

Step-by-step explanation:

[tex]-8-2=\\-10\\|-10|=10[/tex]

The difference in temperature, in degrees Celsius, from 8 a.m. to noon in the city is, 10°C

We have to give that,

At 8 a.m., the temperature in the city was -8 degrees Celsius (°C). At noon on the same day, the temperature in the city was 2°C.

Hence, the difference in temperature, in degrees Celsius, from 8 a.m. to noon in the city is,

d = |- 8 - 2|

d = |- 10|

d = 10

So, Option d; 10° C is correct.

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What is 3+3!!??!!??!!??!!??!!??!!??

Answers

Answer:

6

Step-by-step explanation:

cause 3+3 is 6

thanks for the easy points :3

Answer:

id.kkkkk.. maybe 5.. maybe 6...

:O

Pls help I’ll brainlest ASAP

Answers

Answer:

k=−479.56

Step-by-step explanation:

Answer:

479.56

Step-by-step explanation:

*PLEASE FIND THE ANSWER QUICK!!!!!* Find the SA of this solid. please show the unit measure in your answer

Answers

Answer:

The SA of the rectangle is 270. The SA of both the triangles is 24

Jenny deposits $50,000 into an account that pays simple interest at a rate of 2% per year.
Frank deposits $50,000 into an account that also pays 2% interest per year. But it is compounded annually.
Find the interest Jenny and Frank earn during each of the first three years.
Then decide who earns more interest for each year.
Assume there are no withdrawals and no additional deposits.

Answers

Answer:

Jenny will earn $ 1,000 in interest each year, while Frank will earn $ 1,000 the first year, $ 1,020 the second, and $ 1,040.40 the third.

Step-by-step explanation:

Since Jenny deposited $ 50,000 into an account that pays simple interest at a rate of 2% per year and Frank deposited $ 50,000 into an account that also pays 2% interest per year but it was compounded annually, to find the interest Jenny and Frank earn during each of the first three years and decide who earns more interest for each year assuming there are no withdrawals and no additional deposits, the following calculation must be performed:

Jenny:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 50,000 x 1.02 = 51,000 + 1,000 = 52,000

Year 3 = 50,000 x 1.02 = 51,000 + 2,000 = 53,000

Frank:

Year 1 = 50,000 x 1.02 = 51,000

Year 2 = 51,000 x 1.02 = 52,020

Year 3 = 52,000 x 1.02 = 53,060.40

Someone plz help been stuck on this question for the last 2 hours



Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?

13% interest =$?

Answers

Answer:

7% interest = $10,00013% interest = $20,000

Step-by-step explanation:

First find out what an 11% return on $30,000 is.

= 11% * 30,000

= $3,300

Use simultaneous equations.

Assume the amount to be invested in to make a 7% interest is x and the amount for a 13% interest is y.

0.07x + 0.13y = 3,300

x + y = 30,000

y = 30,000 - x

0.07x + 0.13 (30,000 - x) = 3,300

0.07x + 3,900 - 0.13x = 3,300

0.07x - 0.13x = 3,300 - 3,900

-0.06x = -600

x = -600 / -0.06

x = $10,000

y = 30,000 - x

= 30,000 - 10,000

y = $20,000

Ricky spent $44 total on a baseball mitt and a ball. If the mitt cost
$2 more than 5 times the cost of the ball, find the cost of each
item.

Answers

Answer:

The baseball mitt was $37 and the ball was $7

Step-by-step explanation:

Let m represent the cost of the mitt and let b represent the cost of the ball

Set up a system of equations:

m + b = 44

m = 5b + 2

Solve by substitution by plugging in 5b + 2 as m in the first equation:

5b + 2 + b = 44

Solve for b:

6b + 2 = 44

6b = 42

b = 7

Plug in 7 into the first equation and solve for m:

m + b = 44

m + 7 = 44

m = 37

So, the baseball mitt was $37 and the ball was $7

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