Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Find points from graph.</em>
Point (-1, 0)
Point (0, 1)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope<em> m</em>
- Substitute in points [SF]:
- [Fraction] Simplify:
- [Fraction] Subtract/Add:
- [Fraction] Divide:
Answer:
28/9
Step-by-step explanation:
If the roots are J and K, then:
3 (x − J) (x − K) = 0
3 (x² − (J+K)x + JK) = 0
So if we factor out the leading coefficient:
3x² − 2x − 4 = 0
3(x² − 2/3x − 4/3) = 0
The coefficient of the second term is the sum of the roots:
J + K = 2/3
And the constant is the product of the roots:
JK = -4/3
If we take the sum of the roots and square it:
(J + K)² = (2/3)²
J² + 2JK + K² = 4/9
And subtract twice the product:
J² + K² = 4/9 − 2JK
J² + K² = 4/9 − 2(-4/3)
J² + K² = 4/9 + 8/3
J² + k² = 28/9
Answer:
150
Step-by-step explanation:
Since the value of the bond increases by 4% each year and only 1 year passed by then the ROI is not compounded and we only need to find the value before the 4% was implemented. In order to add 4% to a value we would multiply that value by 1.04 which increases that value by 4%. So, to find the value before the interest was added we would need to divide the new value by 1.04 instead.
$156 / 1.04 = $150
Finally, we can see that the value of the bond when Tyler's mom purchased it was 150
The answer is, there are 320 possible combinations of outfits
The answer is 15 to the question
