B(x) = |3-x|+1
b(10) means that we need to replace x by 10:
b(10) = |3-10|+1
As you can notice, 3-10 is between the lines of the absolute power. So if the answer is positive, you keep positive. If the answer is negative, you transform it to positive. |a| = a and |-a| = a. So |a|=|-a|.
So |3-10| = |-7| = |7| = 7.
b(10) = |3-10|+1 = 7 + 1 = 8.
So the value of b(10) when b(x)=|3-x|+1 is 8.
Hope this Helps! :)
Answer:
She started with $6.00.
Step-by-step explanation:
1. This problem is meant to have you work backwards from the information given. Firstly, it is important to write all the expenses and earnings she had to her weekly earnings.
Starting Amount = ?
- $0.45 (candy bar)
- $2.50 (pen)
+ $.200 (mom)
End Total = $5.05
2. With this information, this next step will be much easier. With this process, you can now use inverse operations to undo the last few equations.
Firstly, $2.00 given by her mom will be subtracted from $5.05.
Secondly, with our new total of $3.05, $2.50 from purchasing the pen will be added to this amount. This leaves you with $5.55.
Lastly, the $0.45 cents she spent with the candy bar will be added to the $5.55.
This leaves the starting amount to $6.00.
3. She started with $6.00
Answer:
7.29 inches
Step-by-step explanation:
80% of the cookies. You take 15-3=12, 12÷15= .8
Answer:
4x² - 6x
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>
(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: 3x² + 2y² - 3x + 2x² + y² - 2x - x² - 3y² - x
- Combine like terms (x²): 4x² + 2y² - 3x + y² - 2x - 3y² - x
- Combine like terms (y²): 4x² - 3x - 2x - x
- Combine like terms (x): 4x² - 6x
