Factor 8x3 − 343.
A) (2x − 7)(4x2 + 14x + 49)
B) (2x − 7)(4x2 + 28x + 49)
C) (2x − 7)(4x2 −14x + 49)
D) (2x − 7)(4x2 − 28x + 49)

Which expression is equivalent to 27x3 + 125?
A) (3x – 5)(9x2 – 15x + 25)
B) (3x – 5)(9x2 + 15x – 25)
C) (3x + 5)(9x2 – 15x + 25)
D) (3x + 5)(9x2 + 15x – 25)
please explain if you could, thank you

Answers

Answer 1

Answer:

A) (2x − 7) (4x² + 14x + 49)

C) (3x + 5) (9x² − 15x + 25)

Step-by-step explanation:

Sums and differences of cubes factor as:

a³ + b³ = (a + b) (a² − ab + b²)

a³ − b³ = (a − b) (a² + ab + b²)

8x³ − 343 is a difference of cubes.

(2x)³ − 7³

(2x − 7) (4x² + 14x + 49)

27x³ + 125 is a sum of cubes.

(3x)³ + 5³

(3x + 5) (9x² − 15x + 25)


Related Questions

MATH please heeeeeeelp​

Answers

Step-by-step explanation:

Its additive inverse!

It is addictive inverses

A student rolls a fair die 10 times and obtained an even number 10 times. The student believes that the next roll will
be an odd number because "odds are due."
Is this correct?
Yes, if the die is fair, then an odd number is due because the probability will approach 50%.
No, an even number is due based on past experience.
Yes, it is certain that an odd number will be rolled next because it is impossible to roll an even number 11 times in
a row.
No, an even or odd outcome is equally likely for each roll, regardless of what has happened in the past.

Answers

Answer:

N0, an even or odd outcome is equally likely for each roll regardless of what happened in the past

Step-by-step explanation:

Answer:

D. No, an even or odd outcome is equally likely for each roll, regardless of what has happened in the past.

ezekiel has $250 in his bank account

Answers

Oh that’s nice do you need help with a math problem or something?

Function notation
Given f(x) = 5x - 3, find f(-2).
Choose:
A-13
B-7
C-5
D0

Answers

Steps to solve:

f(x) = 5x - 3

~Substitute

f(-2) = 5(-2) - 3

~Simplify

f(-2) = -10 - 3

~Subtract

f(-2) = -13 (Option A)

Best of Luck!

Answer:

Step-by-step explanation:

f(-2) = 5(-2) - 3 = -10 - 3 = -13

A is the answer

Use what you know about addition and subtraction of polynomials to find the missing term represented
by the question mark in each equation.
(-4x² + 6x + 3) + (8x + 5 + ?) = 2x2 + 14x + 8
? =
(-b3 + 3b2 + 8) – (? - 562 - 9) = 5b3 + 8b2 + 17
? =
DONE
vous Activity

Answers

Answer:

1= 6x2

2= -6b3

Step-by-step explanation:

The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.

What is the equation?

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given first equation,

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8

-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8

-4x² + 14x + 8 + ? = 2x ²+ 14x + 8

? = 2x ²+ 14x + 8 + 4x² - 14x - 8

? = 6x²

In the second equation,

(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17

(-b³ + 3b² + 8) - (5b³ + 8b² + 17) =  (? - 562 - 9)

? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571

? = -6b³ - 5b² + 562

Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".

For more about the equation,

brainly.com/question/10413253

#SPJ6




Use integers to represent the values in the statement.

The highest elevation in a country is a mountain, with an altitude of 14,240 feet. The lowest elevation in the country is a valley, with an altitude of 285 feet below sea level.

The integer represents the mountain's altitude, measured in feet.

Answers

Answer:

Highest Elevation: 14240

Lowest Elevation: -285

Step-by-step explanation:

Given

[tex]Highest\ Elevation = 14,240\ ft[/tex] above sea level

[tex]Lowest\ Elevation = 285\ ft[/tex] below sea level

Required

Represent both altitudes as an integer

For the Mountain:

Take the sea level as 0 feet

[tex]Altitude = Highest\ Elevation - Sea\ Level[/tex]

[tex]Altitude = 14240 - 0[/tex]

[tex]Altitude = 14240[/tex]

Hence, the integer is 14240

For the Valley:

Take the sea level as 0 feet

[tex]Altitude = Sea\ Level - Lowest\ Elevation[/tex]

[tex]Altitude = 0 - 285[/tex]

[tex]Altitude = -285[/tex]

Hence, the integer is -285

A university has 1,000 computers available for students to use. Each computer has a 250-gigabyte hard drive. The university wants to estimate the space occupied on the hard drives. A random sample of 100 computers showed a mean of 115 gigabytes used with a standard deviation of 20 gigabytes. What is the probability that a sample mean is between 111 and 119 gigabytes

Answers

Answer:

0.9545

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/standard error,

where x is the raw score

μ is the population mean

Standard error = σ/√n

n = random number of samples

σ is the population standard deviation.

For x = 111

z = (x-μ)/standard error

= 111 - 115/20/√100

= -4 /20/10

= -4/2

= -2

Probalility value from Z-Table:

P(x≤ 111) = P(x = 111) = 0.02275

For x = 119

z = (x-μ)/standard error

= 119 - 115/20/√100

= 4 /20/10

= 4/2

= 2

Probability value from Z-Table:

P(x≤ 119) = P(x = 119) = 0.97725

The probability that a sample mean is between 111 and 119 gigabytes

P(-Z<x<Z)

= P(-2< x < 2)

= P(x = 119) - P(x = 111)

= 0.97725 - 0.02275

= 0.9545


otis tutors math students on sunday afternoons. he charges $35 for each of the first 10 students. he changed $40 for each additional student the maximum number of students he will accept is 20.

answer each question below:

a. what did otis make if 8 students came on the first sunday?

b. what did otis made if 17 students came of the second sunday

c. if a is the amount that otis makes from S students that he tutors, write A as a piece wise function of S

Answers

For A it’ll be $280
B-$630
C- I don’t know

Help. Your backyard is 17 feet longer than it is wide. Its area is 7068 square feet. Its width is Solve by using quadratic equation.

Answers

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.

Please help!!!!!!!!!!!

Answers

Answer:

with what?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Vertical angles are always congruent or equal

first when vertical angles are both 90 degrees , then vertical angles are supplementary and vertical

Convert the following decimals to percentages.
0.52 =
%

Answers

Answer:

52% is the answer

52%

all decimals can convert to percentages easily. For example:

0.76 = 76%

0.4 = 40%

0.093 = 9.3%

just move the decimal point 2 places backwards.

I need the answer to the image

Answers

Answer:

∠B = 156°

Step-by-step explanation:

A line intersects two parallel lines this means that their opposite angles are transversals specifically the angles, A and B. And transversal angles are congruent so I can make this claim below:

[tex]∠A = ∠B \\ 8x +78 = 2x +144[/tex]

Solving for x:

[tex]8x +78 = 2x +144 \\ 8x -2x +78 = 2x -2x +144 \\ 6x +78 -78 = 144 -78 \\ 6x = 66 \\ \frac{6x}{6} = \frac{66}{6} \\ x = 11[/tex]

Solving Angle B if x = 11.

[tex]∠B = 2x +144 \\ ∠B = 2(11) +144 \\ ∠B = 22 +144 \\ ∠B = 166[/tex]

Help...giving 20 points

Answers

Answer:

A.) Cuberoot of 2

B.) (m-3)^ 1/2

C.) Cuberoot of 2² or simple Cuberoot of 4

D.) m^1/2 - 3

E.) Squaroot of 2

Step-by-step explanation:

plsss i really need help! How many unique handshakes can be made between 5 people? if you help me ill give u brainliest!

Answers

Answer:

10

Step-by-step explanation:

This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:

1  2  3  4  5

Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.

Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.

Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.

Person 4 can only shake 5's hand, which is 1 handshake.

Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.

Identify the property being illustrated.
6x + 7 = 7 + 6x

Answers

Answer:

Commutative property of addition

A recent survey shows that the probability of a college student drinking alcohol is 0.6. Further, given that the student is over 21 years old, the probability of drinking alcohol is 0.8. It is also known that 30% of the college students are over 21 years old. Of the students who are not over 21, what is the probability they drink alcohol? Group of answer choices

Answers

Answer: 0.5143

Step-by-step explanation:

Probability of students who are over 21 years old = 30% = 0.3

Probability of students who are under 21 years old = 100% - 30% = 70% = 0.7

Probability of drinking alcohol for over 21 = 80% = 0.8

Probability of not drinking alcohol for over 21 = 100%- 80% = 20% = 0.2

Let the probability of the students who are not over 21, that drink alcohol be p.

Total probability of a college student drinking alcohol = (0.3 × 0.8) + (0.7 × p)

0.6 = (0.3 × 0.8) + (0.7 × p)

0.6 = 0.24 + 0.7p

0.7p = 0.6 - 0.24

0.7p = 0.36

p = 0.36/0.7

p = 0.5143

The probability of the students who are not over 21, that drink alcohol is 0.5143.

Tyrone solved an algebraic equation correctly. He got the answer 5 = 3. This answer indicates that the solution to the equation is: A. x = 3 B. x = 5 C. infinitely many solutions D. no solution

Answers

Answer:

No solution.

Step-by-step explanation:

5 can't equal 3 my friend.

Answer:

D no solution.

Step-by-step explanation:

5 doesn't equal 3

I WILL GIVE Brainliest FOR ANSWER

Answers

i’m typing for filling 20 letters

Help me ASAP plssssssssss

Answers

Answer:

Community Parks

Step-by-step explanation:

Answer:

D

Step-by-step explanation: Because they are trying to reserve the parks and the animal life and plant life in it. Hope this helps :)

Pls, Help! I need this today!

Answers

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.

Plz answer me will mark as brainliest and will be reported if wrong answer ​

Answers

Answer:

1,2,3,6,and 9

Step-by-step explanation:

18=1×18

=2×9

=3×6

=1,2,3,6and9

5x+2=3x+6 what does x equal?

Answers

Answer:

x=2

Step-by-step explanation:

what is 9 times 12 Answer divided by 12 times 8 answer thats it

Answers

Answer:

1.125

Step-by-step explanation:

Multiply first

(9*12)/(12*8)

108/96

then divide

1.125

Answer:

72

Step-by-step explanation:

9 × 12 = 108

108 ÷ 12 × 8 = 72

Ms.rider travels 468 miles in 6 hours . how many miles per hour is she driving

Answers

Answer:

78

Step-by-step explanation:

She is driving 78 miles per hour because if you take the miles she drove, and the amount of time she drove, and divide them, you get 78 :)

the answer to this question is 78 hours

How many ten thousands =400 hundreds

Answers

Answer:

4.

Step-by-step explanation:

Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.

Evaluate this function f(x)= -x2+6x+19 Find f(5)

Answers

Answer:

f(5) = -10+30+19 = 39

Step-by-step explanation:

f(5) = (-5)2+6(5)+19

-10+30+19

=39

The set of odd numbers greater than 19 ? Infinite or finite

Answers

Answer: Infinite

Odd numbers are of the form 2n+1, where n is an integer

Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.

What is the lcm of 12 and 3

Answers

Answer:

LCM of 12 and 3 is 12

Step-by-step explanation:

hope it helps you vhprince

1cm of 12 and 3
1*12+3
12+3
15

A church luncheon made $842. Adult tickets cost $10 each and children’s tickets cost $6 each. The number of children was 12 more than twice the number of adults. How many of each ticket were sold?

Answers

the number of adult ticket's sold = 35

And the number of child ticket's sold = 2 x 35 + 12 = 70 + 12 = 82

Step-by-step explanation:

Answer:

312

Step-by-step explanation:

12*6 for children 24 of adult because of of double children 24*10 240 so 240+72=312

Which of the following best describes the number shown below?
0.898989...
A. Rational

B. Neither Rational nor Irrational

C. Both Rational and irrational

D. Irrational ​

Answers

Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals

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