Use FOIL (First, Outside, Inside, Last)
x(x) = x²
x(9) = 9x
-2(x) = -2x
-2(9) = -18
x² + 9x - 2x - 18
simplify by combining like terms
x² + 9x - 2x - 18
x² + 7x - 18
x² + 7x - 18 is your answer
hope this helps
Answer:
The correct option is;
Simpson Paradox
Step-by-step explanation:
The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.
Whereby the data for calculating the bating averages as found online are given as follows;
Season, Derek Jeter David Justice
1995, 12/48 = 0.250 104/411 ≈ 0.253
1996, 183/582 ≈ 0.314 45/140 ≈ 0.321
The overall hits to the overall bats ratio are;
, (183 + 12)/(582 + 48) ≈0.310 (104+45)/(411+140) = 0.27
Which shows that Derek Jeter's overall average was better than Justice's average
Answer:
look at the picture i have sent
Answer:
x = 27/16
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
x + 5/9x = 2(3 - x)
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute 2: x + 5/9x = 6 - 2x
- Combine like terms: 14/9x = 6 - 2x
- Add 2x on both sides: 32/9x = 6
- Divide 32/9 on both sides: x = 27/16
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 27/16 + 5/9(27/16) = 2(3 - 27/16)
- Multiply: 27/16 + 15/16 = 2(3 - 27/16)
- Subtract: 27/16 + 15/16 = 2(21/16)
- Multiply: 27/16 + 15/16 = 21/8
- Add: 21/8 = 21/8
Here we see that 21/8 does indeed equal 21/8.
∴ x = 27/16 is a solution to the equation.