1, 2, 4, 7, 8, 14, 28, and 56
Answer:
30
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
<u>Step 1: Define</u>
6² + x - x²
x = 3
<u>Step 2: Evaluate</u>
- Substitute in <em>x</em>: 6² + 3 - 3²
- Exponents: 36 + 3 - 9
- Add: 39 - 9
- Subtract: 30
Answer:
8%
Step-by-step explanation:
8% of $25 is $2. $25 to $27 is a $2 increase so therefore the product's price has had a 8% increase.
Answer:
It will become narrower/steeper
Step-by-step explanation:
To find out how the new parabola will behave, just substitute in numerous values for a and x.
Then compare this to the original graph and you will clearly be able to distinguish the differences between the two graphs.
Answer:
57 mph
Step-by-step explanation:
Let b represent Bob's speed on the trip. Then his time is ...
time = distance/speed
Bob's time = 230/b
Then John's speed is b+8, and his time is ...
John's time = 230/(b+8)
The difference of their times is 1/2 hour:
Bob's time - John's time = 1/2
230/b -230/(b+8) = 1/2 . . . substitute the expressions for time
460(b+8 -b) = b(b+8) . . . . . multiply by 2b(b+8)
b^2 +8b -3680 = 0 . . . . . . .put in standard form
(b +4)^2 -3696 = 0 . . . . . . . add 16-16 to complete the square
b = -4 +√3696 ≈ 56.795 . . . solve for positive b
Bob's drove about 57 mph on the trip.