Choose the polynomial written in standard form. x2 4x4 10x6 x4 4x3 10x x7 4x3 10x4 x6 4x3 10x7

Answers

Answer 1

The polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

What is standard form of a polynomial?

Suppose the considered polynomial is of only one variable.

Then, the standard form of that polynomial is the one in which the terms with higher exponents are written on left side to those which have lower exponents.

What are terms in polynomials?

Terms are added or subtracted to make a polynomial. They're composed of variables and constants all in multiplication.

Example:

[tex]x^3 + 3x +5[/tex]

is a polynomial consisting 3 terms as [tex]x^3, 3x \: \rm and \: 5[/tex]

Cheking all the options for them being in standard form or not:

Option 1: [tex]x^2 + 4x^4 + 10x^6[/tex]

Second term has 4 as exponent, but on its left, the first term has 2 as exponent. So higher expoent holding term is not on left. Thus, this polynomial is not in standard form.

Option 2: [tex]x^4 + 4x^3 + 10x[/tex]

4 > 3 > 1 (comparing the exponents), and the terms holding them are also in this order (left to right).

Thus, this polynomial is in standard form.

Option 3: [tex]x^7 + 4x^3 + 10x^4[/tex]

Not in standard form because the last term has bigger power then the term on its left.

Option 4: [tex]x^6 + 4x^3 + 10x^7[/tex]

Not in standard form because the last term has bigger power then the term on its left.

Thus, the polynomial that is written in standard form out of the given options is given by: Option 2: x^4 + 4x^3 + 10x

Learn more about standard form of a polynomial here:

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Related Questions

perform the indicated operation 7/2x-2/3x

Answers

Answer:

Ans: n−√5

Step-by-step explanation:

KLMN ~ PQRS. Find the given side length or angle measure.

Answers

let's keep in mind that the shapes are both congruent, and let's also notice the letters sequence, KLMN is congruent with with its corresponding sides and angles at PQRS, so the PS side will be corresponding with the NK side, and the angle at M is the same as the angle at R, Check the picture below.

A 15ft ladder is leaning up against a wall. The top of the ladder makes a 12° with the wall, how far is the base of the ladder from the wall?​

Answers

Step-by-step explanation:

[tex]the \: length \: of \: the \: ladder \: becomes \: the \: hypotenuse \: [/tex]

[tex]the \: base \: becomes \\ = \sin( \alpha ) \times hypotenuse \\ = \sin(12) \times 15 \\ = 3.119ft[/tex]

help me please it’s almost due at 10 am

Answers

Answer:

a no. is the answer

Step-by-step explanation:

b=a+13

or, 14 = 1+13

or, 14= 14 {True}

Answer:

b=a+13

b=1+13

b=14

again,

b=a+13

b=6+13

b=19

so the relationship between a & b is b=a+13

Select all the expressions whose value is larger than 100.
a. 120% of 100
b. 50% of 150
c. 150% of 50
d. 20% of 800
e. 200% of 30
f. 500% of 400
g. 1% of 1,000

Answers

Answer: A, D, F

Step-by-step explanation: A: 120 B: 75 C: 75 D: 160 E: 60 F: 2000

G: 10

y = -7⁄2 x + 86
y = -7⁄2 (10) + 86
y = 51 points

Answers

Answer:

I think you are incorrect

Step-by-step explanation:

this was the answer i got 121

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

You find an apartment which charges 925 a month rent. each year the rent increases by 6% a. write a sequence that represents the rent paid each year for the first 5 years.

Answers

Answer:

In the first 5 years, 138,750$ worth of rent will already have been paid.

Step-by-step explanation:

Since you have to pay 925$ a month worth of rent, in only 1 year, 5,550$ rent money will already have been payed. Now, multiply 925 x 5 x 30 = 138,750. Since the rent increases by 6% every year, in the first 5 years it would have already increased to 30%. So therefore, you would have to pay 138,750$ money worth of rent.

Find the mean absolute deviation for:1, 1, 2, 4, and 7
a) 1
b) 2
c) 3
d) 0

Answers

Answer: C) 3
To get mean deviation it is nessasary to get the number between the two center numbers

HELP ME: Lee works at a job where her pay varies directly with the number of hours she works. Her pay for 6.5 hours is $49.40. Write a direct variation equation relating Lee’s pay x to the hours worked y. Then find her pay if she works 25 hours in a week. y = 7.6x; $190

Answers

Answer: 90$

Step-by-step explanation:

Hi please help with an explanation as well, I’ll reward branliest!!!

Answers

Answer:

1. B = 6 m²

2. h = 2 m

3. V = 12 m³

Step-by-step explanation:

the base is a right triangle

Then

[tex]B=\frac{3\times 4}{2} =6\ m^{2}[/tex]

____________

The height of the prism is the length of the segment that join the base to its opposite face

Then

h = 2m (given)

___________

The volume of the prism :

[tex]V=B\times h=6\times 2=12 m^3[/tex]

A shirt was originally priced at $80. The store is having a 25% off sale. How much will you pay for the shirt after the discount (not including tax)​

Answers

$60

hope it helps...!!!

Water is pouring into a conical vessel of diameter 5.2m and slant height 6.8m (as shown in the adjoining figure), at the rate of 1.8 m per minute. How long will it take to fill the vessel?​

Answers

Answer:

31.6m

Step-by-step explanation:

First, find area of the vessel [ (πr2h)/3 ]

Radius = 5.2/2= 2.6

Using Pythagorean theorem, find the height of the cone:

[tex]\sqrt{6.8^{2} -5.2^{2} }[/tex] = 4.38

Area of vessel = [tex]\frac{ (PI * 2.6 * 2 * 4.38)}{3}[/tex] =  56.88 [tex]cm^{3}[/tex]

Do cross multiplication using ratios:

1.8      =    1

56.88 =   [tex]x[/tex]

[tex]\frac{56.88}{1.8}[/tex]= 31.6

Order -3,5, 16, and -10 from least to greatest.
Then order the same numbers from closest to
zero to farthest from zero. Describe how your
lists are similar.

Answers

Least to greatest: -10, -3, 5, 16
Closet to farthest from 0: -3, 5, -10, 16


A pebble falls off the top of a cliff. Its final velocity is 58.8m/s. How long does it take to reach the ground? Show
your work.

Answers

Answer: 5.7s

Step-by-step explanation:

We are explicitly given the final velocity of 58.8m/s, and implicitly given the acceleration of 9.8m/s^2 due to gravity. We are also implicitly given the initial velocity of the pebble. The pebble was not thrown off the cliff, it simply fell off the cliff. Therefore the initial velocity is 0m/s. Using the first kinematic equation, you get:

[tex]v_f=v_i+at[/tex]

[tex]58.8=0+(9.8)t[/tex]

[tex]58.8=9.8t[/tex]

[tex]t=5.7s[/tex]

a) write 2 2/3 as an improper fraction in its simplest form.
B) work out 2 2/3 x5 give your anwser as an improper
fraction in its simplest form.

Answers

Step-by-step explanation:

a) write 2 2/3 as an improper fraction in its simplest form....

[tex] = 2 \frac{2}{3} \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{ 2} \\ [/tex]

[tex] = \frac{8}{2} \\ [/tex]

[tex] = \frac{8 \div 2}{2 \div 2} \\ [/tex]

[tex] = \frac{4}{1} = 4 \\ [/tex]

B) Work out 2 2/3 x5 give your anwser as an improper...

[tex] = 2 \frac{2}{3} \times 5 \\ [/tex]

[tex] = \frac{2 \times 3 + 2}{3} \times 5 \\ [/tex]

[tex] = \frac{8}{3} \times 5 \\ [/tex]

[tex] = \frac{40}{3} \\ [/tex]

The number of students in sixth grade is 1.03 times the number of students in seventh grade. What percent is equivalent to 1.03?

Answers

move the decimal to the right twice to make this into a percent:

1.03 —-> 103%

Question 6 of 10
The slope of the line below is -3. Which of the following is the point-slope
form of the line?
5
(2,-2)
O A. y-2 = 3(x+2)
O B. y + 2 = -3(x - 2)
O C. y2 = -3(x+2)
O D. y + 2 = 3(x-2)

Answers

The point-slope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Point-slope form of an equation of a line

From the question, we are to determine the point-slope form of the given line

The point-slope form of an equation of a straight line is written as

[tex]y-y_{1}=m(x-x_{1})[/tex]

Where m is the slope and [tex](x_{1},\ y_{1})[/tex] is a point on the line

From the given information,

m = -3

And in the diagram,

One of the points on the line is (2, -2)

Therefore, we can write that

x₁ = 2 and y₁ = -2

Substituting into the point-slope form of an equation of a line,

We get

y - (-2) = -3(x - 2)

This becomes

y + 2 = -3(x - 2)

Hence, the pointslope form of the line is y + 2 = -3(x - 2). The correct option is B. y + 2 = -3(x - 2)

Learn more on Point slope form of an equation of a straight line here: https://brainly.com/question/8386231

The diagram for the question is attached below.

A’B’C’ is a reflection of ABC over the y_axis. What is the length of A’C’?

Answers

~Denki~

Answer:

the length of "AC" should be the same as it was before it was reflected over the y-axis.

(there is no picture so i cant get as specific as intended)

hope this helps :D

a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?​

Answers

Answer:

225 men

This conversion leads to the answer:

30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 men

Which graph line represents an equation of a line with a slope of -2 and a point on the line of (-1, 2)

Answers

Answer:

purple

Step-by-step explanation:

30-60-90 triangles and 45-45-90 triangles
What are the ratios that correspond?
My math teacher says its x, √3x, 2x and x, x, √2x. But I’ve seen others do it x, x √3, 2x and x, x, x √2
Which is correct? Thank you

Answers

My math teacher did it the same way so I would go with your teacher's way

What is the vertex of the graph of the function f(x) = x² + 8x - 2?
(-4,18)
(0,-2)
(-8, -2)
(-4,-18)

Answers

Answer:

(4, -18)

Step-by-step explanation:

First  Use this formula for the x -axis  -b/2a  

-8/2(1) is -4

Then plug in -4 to the equation

(-4)^2+8(-4)-2 = -18

Choose the correct problem for the fraction 12/13

A. 13 ÷ 12

B. 12 ÷ 13

C. 12 x 13

D. 12 ÷ 10

Answers

Answer:

B. 12 ÷ 13

Explanation:

13 ÷ 12 = 13/12

12 ÷ 13  =  12/13

12 x 13 = 156

12 ÷ 10 = 12/10 = 6/5

Solve the equation -4x^3=32

Answers

Answer:

-2

Step-by-step explanation:

-4x^3 = 32

x^3 = -8

take the cube root of both sides.

x = -2

[tex]-4x^3= 32\\\\\implies x^3 = -\dfrac{32}4\\\\\implies x^3 = -8\\\\\implies x^3 +8 = 0\\\\\implies x^3 +2^3 =0\\\\\implies (x+2)(x^2 -2x +2^2)=0\\\\\implies (x+2)(x^2 -2x +4) = 0\\\\\implies x +2 =0~~~\text{or} ~~~~x^2 -2x +4 = 0\\ \\\implies x = -2 ~~~~~~\text{or} ~~~~ x= \dfrac{2 \pm\sqrt{-12}}{2}=\dfrac{2 \pm i\sqrt{12}}2}=\dfrac{2\pm2i\sqrt3}{2}=1\pm i\sqrt 3\\\\\text{Hence,}~ x = -2,~~ x = 1+i\sqrt 3,~~~ x= 1-i\sqrt3[/tex]

Manuel starts with $30. He earns $8.00 per hour plus an additional
bonus of $12 each day. He spends $8.00 for lunch. If he has $94 at
the end of the day, how many hours did he work?

Answers

Answer:

He worked about 5.5 hours

Step-by-step explanation:

Im pretty sure

Answer:

7.5  hours

Step-by-step explanation:

h=hours

30+8h +12-8 =94

8h+34=94

8h =60

h= 7.5


This shows how to copy the triangle, cut the copy into pieces, and form a rectangle.

What is the area of the rectangle?
( ) square millimeters

What is the area of the triangle?
( )square millimeters


Answers

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

What is an area?

The area is the amount of space occupied by a two dimensional shape or object.

Area of rectangle = length * width = 6 mm * 8 mm = 48 mm²

Area of triangle = (1/2) * base * height = 0.5 * 6 * 8 = 24 mm²

The area of the rectangle and triangle are 48 mm² and 24 mm² respectively.

Find out more on area at: https://brainly.com/question/25292087

Alexa can follow the sidewalk from the library to the school or she can travel across the grass
directly. Which route is longer?"
Sidewalk-78m
13m

Answers

The longer distance that Alexa can follow to the school is the sidewalk since 70m is longer than 13m.

How to calculate the distance?

From the information given, Alexa can follow the sidewalk from the library to the school or she can travel across the grass.

In this case, the distance of the sidewalk is 78m and the distance of the grass is 13m. Therefore, the longer distance is the sidewalk.

Learn more about distance on:

https://brainly.com/question/17273444

PLS HELP OFFERING BRAINLIEST+20 POINTS! I RLLLLLLLLLYYYYYYY NEED HELP!

Answers

Answer:

c and d

Step-by-step explanation:

hope it helps bud

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

15.8 :D

Step-by-step explanation:

Pythagorean theorem: a^2 + b^2 = c^2

Now lets solve!!

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Now we need to find the square root!!

[tex]\sqrt{250}[/tex] = 15.8 :)

Have an amazing day!!

Please rate and mark brainliest!!!

What is the solution of the inequality shown
below?
x-1 < -10

Answers

Answer:

x<-9

Step-by-step explanation:

x−1<−10

Add 1 to both sides.

x<−10+1

Add −10 and 1 to get −9.

x<−9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hoped this helped :)

Answer:

x < -9

Step-by-step explanation:

Bring like terms to one side

⇒ x - 1 < -10

⇒ x < -10 + 1

⇒ x < -9

The solution is x < -9 or x is less than negative 9

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