Answer:
-x² + 12x + 5
Step-by-step explanation:
Step 1: Write out expression
x² + 3x - 2x² + 9x + 5
Step 2: Combine like terms
-x² + 3x + 9x + 5
Step 3: Combine like terms
-x² + 12x + 5
Answer:
1/6
Step-by-step explanation:
Probability is a chance of an event taking place.
Probability = (favorable outcome)/(total outcome)
There are 3 even sides in a dice.
P(even) = 3/6 = 1/2
There are 2 numbers that are greater than 4 in a dice.
P(x>4) = 2/6 = 1/3
P(even and x>4) = 1/2 × 1/3 = 1/6
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
A = x² + xy + 2y - 1 → (1)
A + B = 2x² - xy - 4y - 1 → (2)
From (2)
B = 2x² - xy - 4y - 1 - A
= 2x² - xy - 4y - 1 - (x² + xy + 2y - 1) ← distribute parenthesis
= 2x² - xy - 4y - 1 - x² - xy - 2y + 1 ← collect like terms
= x² - 2xy - 6y
Hence
A - B = x² + xy + 2y - 1 - (x² - 2xy - 6y) ← distribute parenthesis
= x² + xy + 2y - 1 - x² + 2xy + 6y ← collect like terms
= 3xy + 8y - 1
(b)
Given A - B = x, then
x = 3xy + 8y - 1 ( add 1 to both sides )
x + 1 = 3xy + 8y ← factor out y from each term
x + 1 = y(3x + 8) ← divide both sides by (3x + 8)
y =
Answer:
45/30 = 1.5 minutes per mile
75 * 1.5 = 112.5 minutes (1 hour 52.5 minutes)
Step-by-step explanation:
Answer:
r ≤ 2 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Equality Properties
Rewriting Fractions
Step-by-step explanation:
Step 1: Define
1 2/3 ≥ r - 7/12
Step 2: Solve for r
Rewrite: 5/3 ≥ r - 7/12
Isolate r: 9/4 ≥ r
Rewrite: r ≤ 9/4
Reduce: r ≤ 2 1/4
Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.