A board of length (6x4 + 9x2- 21) meters is to be cut into three pieces of the same length. Find the length of each
piece.

Answers

Answer 1

Answer:

(2x⁴ + 3x² -7)

Step-by-step explanation:

Length is

(6x⁴ + 9x²- 21)

It is to be divided by 3.

Note when dividing the polynomial by any value each of the terms is divides by same value:

(6x⁴ + 9x²- 21)/3 = 6x⁴/3 + 9x²/3 - 21/3 = 2x⁴ + 3x² -7

Each piece is (2x⁴ + 3x² -7) meters long


Related Questions

find the measure of angle E

Answers

Answer:

E = 76°

Step-by-step explanation:

Exterior angle B = 116°

So ABC = 180° - 116°

= 64°

In triangle ABC , AC = BC ( given )

So angle BAC = angle ABC = 64° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

BAC + ABC + ACB = 180°

=> ACB + 64° + 64° = 180°

=> ACB = 180° - 128°

= 52°

Also , angle ACB = angle ECD = 52° ( Vertical Opposite Angles are equal )

In triangle ECD ,

EC = ED ( given )

So, angle ECD = angle EDC = 52° ( Opposite angle of two same sides of a triangle are equal )

According to Angle Sum Property of a Triangle ,

ECD + EDC + CED = 180°

=> 52° + 52° + CED = 180°

=> CED = 180° - 104°

= 76°

How many places do you need to move the decimal to the left to write the number below in the scientific notation?

Answers

Answer:

10

Step-by-step explanation:

in scientific notation a number cant be greater than 10. so you have to move the decimal to make it under 10.

Which numbers is a factor of 100? 8 12 15 20

Answers

Answer:

20

Step-by-step explanation:

[tex]100 = 20 \times 5[/tex]

20 is a factor of 100. 20*5=100

*
(1 Punto)
(7.006 x 1041) x (5.09 x 1022)
OA 3.566 x 1041
OB 3.566 x 1062
ОС
3.566 x 1063
D
3.566 x 1064​

Answers

This question was not written properly

Complete Question

(7.006 x 10⁴¹) x (5.09 x 10²²)

OA) 3.566 x 10⁴¹

OB) 3.566 x 10⁶²

ОС) 3.566 x 10⁶³

OD)3.566 x 10⁶⁴

Answer:

D. 3.566 × 10⁶⁴

Step-by-step explanation:

We are asked to solve:

(7.006 x 10⁴¹) x (5.09 x 10²²)

When we multiply this together

= (7.006 × 5.09 ) × 10(⁴¹+²²)

= (7.006 × 5.09 ) × 10⁶³

= 35.66054 × 10⁶³

= 3.566054 ×10⁶⁴

Approximately = 3.566 × 10⁶⁴

Find the equation of the line using the point-slope formula. Write the final equation using slope- intercept form. 6 (1,2) with a slope of - 7 Enter the exact answer.​

Answers

Answer:

y = -7x + 9

Step-by-step explanation:

Point-slope form:

y - 2 = -7 (x -1)

y - 2 = -7x + 7

y - 2 + 2 = -7x + 7 +2

y = -7x + 9

If BC = 5x − 15, CD = 4x, and BD = 8x + 4, what is BD? Simplify your answer and write it as a proper fraction, mixed number, or integer. Could you please type it in a step by step.

Answers

Answer:

156

Step-by-step explanation:

CD+BC=BD

[tex](5x - 15) + 4x = 9x - 15 = 8x + 4 \\ x = 19 \\ bd = 8x + 4 = (8 \times 19) + 4 = 156[/tex]

I really need help with this question

Answers

Answer: my sis helped me a little so i think its right try 1,500

Step-by-step explanation:

if she gets paid 849000 a year then i would divide 849000 by 12 cause theres that meany months in a year then with that number subtract the Christmas plus witch is 5500 and thats the answer i think

State the domain and range and determine if its a function

Answers

Answer:

The first element of a set which is linked with the element of second set is called domain.

The element of second set is known as range.

Answer:

When functions are first introduced, you will probably have some simplistic "functions" and relations to deal with, usually being just sets of points. These won't be terribly useful or interesting functions and relations, but your text wants you to get the idea of what the domain and range of a function are. Small sets of points are generally the simplest sorts of relations, so your book starts with those.

for example

State the domain and range of the following relation. Is the relation a function? {(2, –3), (4, 6), (3, –1), (6, 6), (2, 3)}

The above list of points, being a relationship between certain x's and certain y's, is a relation. The domain is all the x-values, and the range is all the y-values. To give the domain and the range, I just list the values without duplication:

domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

(It is customary to list these values in numerical order, but it is not required. Sets are called "unordered lists", so you can list the numbers in any order you feel like. Just don't duplicate: technically, repetitions are okay in sets, but most instructors would count off for this.)

While the given set does indeed represent a relation (because x's and y's are being related to each other), the set they gave me contains two points with the same x-value: (2, –3) and (2, 3). Since x = 2 gives me two possible destinations (that is, two possible y-values), then this relation is not a function.

the sum of 12 and the quantity 8 times a number k is equal to 48

Answers

Answer:

12 + (8k) = 48

k= 9/2

Step-by-step explanation:

one solution to a quadratic function is -4+7i, what is the other solution?

Answers

Answer:

-4 - 7i

Step-by-step explanation:

If a quadratic equation with real coefficients has a complex number as a solution, then the complex conjugate of that number is also a solution.

Assuming the coefficients of the quadratic function are real, then the other solution is

-4 - 7i

what is 4/y+2=10/5y?

Answers

y^1=-1,y^2=2 ^=square root

What is the coefficient of 9(14) P ?

Answers

Answer:

the answer of this question is

the coffiecent is p

the coefficient is P

my cashapp is $alanajackson

Answers

Answer:

uhh okay what's the question

Can someone help me simplify 16 > x +9

Answers

Answer:

7 > x

Step-by-step explanation:

16 > x + 9

you subtract 9 from both sides to get your variable by yourself and you keep the same sign

7 > x

The sum of the ages of Jacob and Jasmine is 66 years. 6 years ago, Jacob's age was 2 times Jasmine's age. How old is Jacob now?

Answers

27, first you take 66-12 bc that is both of their ages, and then I divided that by 2 since it’s twice jasmines age. Hope this helps and would appreciate a Brainly :)

Answer:

Jacob's age is 42

Jasmine's age is 24

Step-by-step explanation:

Let Jacob's age be x

Let Jasmine's age be y

x + y = 66

x - 6 = 2(y - 6)

x - 6 = 2y - 12

x - 2y = -12 + 6

x - 2y = -6

x + y = 66 ------- (1)

x - 2y = -6 ------- (2)

From (1),

x = 66 - y -------- (3)

Substitute the value of x in (2)

x - 2y = -6

66 - y - 2y = -6

-3y = -6 - 66

-3y = -72

y = -72/-3

y = 24

Solve for x in (1)

x + y = 66

x + 24 = 66

x = 66 - 24 = 42

x = 42, y = 24

Hi what’s 2+2? Anyone would like to help..?

Answers

two plus two is four!
you count your fingers

Answer:

2+2 = 4

Step-by-step explanation:

you see..... •• (2) + ••(2) = •••• (4) << you just need to count them

Hallie can use the equation p = 4l + 4w + 4h to determine the sum of the lengths of the edges of a rectangular prism. She begins to solve the equation for h but runs out of time. Her partial work is shown below:

Answers

Answer: ( L+W)

Step-by-step explanation:

Find the product. (-10) • (-10) • (-10)

Answers

Answer:

-1000

Step-by-step explanation:

-10 times -10 makes 100 as negative cancel each other

100 times -10 make -1000

Answer:

-1000

Step-by-step explanation:

-(10x10x10)

-10^3

-1000

(2 points)
A polynomial is divided by (x - 2), the quotient is (x – 6), and the remainder is -6
What is the original polynomial

Answers

Answer: x^2-8x+6

=========================================================

Explanation:

n = numerator polynomial = unknown (what we want to solve for)

d = denominator polynomial = x-2

q = quotient = x-6

r = remainder = -6

Based on that, we can say,

n/d = q + r/d

n = q*d + r ... multiply every term by d

n = (x-6)(x-2) + (-6) .... substitution

n = x^2-8x+12-6

n = x^2-8x+6

Dividing (x^2-8x+6) over (x-2) leads to a quotient of (x-6) and a remainder of -6.

How many x-intercepts can an absolute value graph have?

Answers

Answer:

Zero, One, Two

Step-by-step explanation:

It can never touch the x-axis

when it's like

[tex]y=a|x-b|+c[/tex]

with

[tex]c>0[/tex]

it will be upward

it can touch only once when it's like

[tex]y=a|x-b|[/tex]

it will touch it in  [tex](b,0)[/tex]

It can touch twice when it's like

[tex]y=a|x-b|-c[/tex]

with

[tex]c>0[/tex]

the equations are just an example, there can be other ways too

have three or more it's impossible, because the absolute value graph is the union of two lines, and each line at most can touch the x-axis once

f(x) = 2x – 1 What is f(13)?

Answers

Answer:

f(13) = 25

Step-by-step explanation:

f(x) = 2x – 1

To find f(13) substitute the value of x that's 13 into f(x). That is for every x in f (x) replace it with 13

We have

f(13) = 2(13) - 1

= 26 - 1

We have the final answer as

f(13) = 25

Hope this helps you

Identify the function's local and absolute extreme values, if any, saying where they occur. f(x) = x^3 + 4x^2 - 3x - 4 A) local maximum at x = -1/3; local minimum at x = 3 B) local maximum at x = -1; local minimum at x = 1 C) local maximum at x = -3; local minimum at x 1/3 D) local maximum at x = -1; local minimum at x = 1

Answers

Answer: C) local maximum at x = -3; local minimum at x = 1/3

Step-by-step explanation:

Given the function:

f(x) = x^3 + 4x^2 - 3x - 4

Set f'(x) = 0

f'(x) = 3x² + 8x - 3

f'(x) = 0

3x² + 8x - 3 = 0

Using the quadratic function calculator :

x = - 3 or x = 1/3

Critical points = - 3 ; 1/3

To find the maximum and minimum points :

f''(x) = 6x + 8

Substitute the values of X in

At x = - 3

6(-3) + 8

-18 + 8 = - 10

At x = 1/3

6(1/3) + 8

2 + 8 = 10

Value of f''(x) at - 3 is negative, hence - 3 is the maximum point

Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point

tentukan nilai daerah yang diarsir dalam pecahan?​

Answers

yeah it would be for sure

You work at a coffee shop and they pay you $12.80 an hour. If you work 34
works this week, what is your straight-time pay?

A. $435.20
B. $438.80
C. $442.20
D. $444.60
E. $446.40
F. $448.20

Answers

Answer:

answer is A $435.20

Step-by-step explanation:

I guess I was help full for u

plz follow me for more updates

Kendra earns $11.60 per hour working at the movie theater. Each week, she donates
1/10
of her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked
8 1/2
hours last week, how much money did she donate to the charity?

Answers

Answer: $9.86

Step-by-step explanation:

$11.60 ⋅ 8.5 = $98.60

$98.60 / 10 = $9.86

7900 dollars is placed in an account with an annual interest rate of 5.25%. To the
nearest tenth of a year, how long will it take for the account value to reach 34300
dollars?

Answers

Answer:

x=28.7

Step-by-step explanation:

I just answered the question.

midpoint of (5, 8) (-1, -4)

Answers

Answer:

(2,2)

Step-by-step explanation:

mid point formula: x1+x2/2      y1+y2/2

5+(-1)=4/2=2

8+(-4)=4/2=2

(2,2)

I didn’t post the question I’m sorry but helppp :cc

Answers

I don’t see the question

Simplify −0.6(−6.3). −3.78 −3.63 3.63 3.78

Answers

Answer:

3.78

Step-by-step explanation:

a negative multiplied by a negative is a positive. 0.6 multiplied by 6.3 equals 3.78

Answer:

3.78

Step-by-step explanation:

What is the value of the expression below after it has been simplified completely? (2)(3)-(6)(4) A. –24 B. –18 C. 18 D. 24

Answers

Answer:

B

Step-by-step explanation:

2x3=6 and 6x4=24 so 6-24= -18

Answer:

B

Step-by-step explanation:

-18

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