Answer:
It's D. (1,-2)
Step-by-step explanation:
The simplified answer of 6/9 is 2/3.
Answer:
{∅, {a}, {b}, {a,b}}
Step-by-step explanation:
The value of power of a set is generalized by using the formula,
Power of a set (P) = 2^n where n is the number of element in the set.
Given two distinct elements a and b say;
A = {a,b}
n(A) = 2 i.e the number of elements in the set is 2. Therefore the power of the set will be 2^n which gives 2^2 = 4.
P(A) = 4 means there are 4 subsets of the given set. Subsets are sets of elements that can be found in the set. The subsets of element A will be;
{∅, {a}, {b}, {a,b}} which gives 4 elements in total.
Note that empty set ∅ is always part of the subset of any given set
Answer:
7y² - y + 21
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
4y - y(3 - 7y) + 5 + 2(8 - y)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute parenthesis: 4y - 3y + 7y² + 5 + 16 - 2y
- Combine like terms (y): 7y² - y + 5 + 16
- Combine like terms: 7y² - y + 21
Answer:
(x - 4)×(x + 4)
Step-by-step explanation:
(x - 4)×(x + 4) = x^2 - 16
First we need to multiply inside the parenthesis one by one
Multiply x with (x + 4) and the result will be x^2 + 4x
Then multiply -4 with (x + 4) and result will be -4x - 16 we then add both of the result together by adding like terms
x^2 + 4x - 4x - 16 = x^2 - 16 (-4x eliminated 4x) therefore the answer to factorised form of x^2 - 16 is (x - 4)×(x + 4)
