Answer:
- (x - 3y)(3x + y)
Step-by-step explanation:
Given
(x + 2y)² - (2x - y)² ← expand both parenthesis using FOIL
= x² + 4xy + 4y² - (4x² - 4xy + y²) ← distribute
= x² + 4xy + 4y² - 4x² + 4xy - y² ← collect like terms
= - 3x² + 8xy + 3y² ← factor out - 1 from each term
= - 1(3x² - 8xy - 3y²) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the coefficient of the y² term which sum to give the coefficient of the xy- term.
product = 3 × - 3 = - 9 and sum = - 8
The factors are - 9 and + 1
Use these factors to split the xy- term
3x² - 9xy + xy - 3y² ( factor the first/second and third/fourth terms )
= 3x(x - 3y) + y(x - 3y) ← factor out (x - 3y) from each term
= (x - 3y)(3x + y)
Thus
(x + 2y)² - (2x - y)² = - (x - 3y)(3x + y)
Answer:
3.26
Step-by-step explanation:
if there is a five you round it up too 3.26
Answer:
A. there is a 99% probability that μ is between 3 and 9.
Step-by-step explanation:
From a random sample, we build a confidence interval, with a confidence level of x%.
The interpretation is that we are x% sure that the interval contains the true mean of the population.
In this problem:
99% confidence interval.
6 ± 3.
So between 6-3 = 3 and 6 + 3 = 9.
So we are 99% sure that the true population mean is between 3 and 9.
So the correct answer is:
A. there is a 99% probability that μ is between 3 and 9.
Answer:
Please see the attached file for the complete answer.
Step-by-step explanation:
Answer:
If a and b are two positive rational numbers such that ab is not a perfect square of a rational number, then ab is an irrational number lying between a and b.
So an irrational number between 3 and 4 is=3×4=3×4=3×2=23
