Answer:
Step-by-step explanation:
Bring the like terms together
5x + 22 - 6x -23 = 5x - 6x + 22 -23 {now, add/subtract the like terms}
= -x -1
Answer:
2√5 - 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Terms/Coefficients
- Expand by FOIL
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(√5 + 4)(√5 - 2)
<u>Step 2: Simplify</u>
- Expand [FOIL]: (√5)² - 2√5 + 4√5 - 8
- Combine like terms: (√5)² + 2√5 - 8
- Evaluate exponents: 5 + 2√5 - 8
- Combine like terms: 2√5 - 3
<span>When the product of two numbers is one</span>
Answer:
y =
x + 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y =
x + 4 ← is in slope- intercept form
with slope m = 
Parallel lines have equal slopes , then
y =
x + c ← is the partial equation
To find c substitute (6, 5) into the partial equation
5 = 2 + c ⇒ c = 5 - 2 = 3
y =
x + 3 ← equation of parallel line
Answer:
The correct answer is 0.05882.
Step-by-step explanation:
A deck of cards have 52 cards, 13 cards of each suit.
We are drawing two cards without replacement.
We need to find the probability of getting a diamond as the first card.
Favorable outcomes are 13 and total number of outcomes are 52.
Thus this probability is
.
Now for the next draw we again want to pick a diamond card.
Favorable outcomes are 12 and total number of leftover cards are 51.
Thus this probability is
.
Now the probability that both cards are diamonds is
×
=
= 0.0588235 ≈ 0.05882