Answer:
(-3, 4)
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
<u>Algebra I</u>
- Terms/Coefficients
- Solving systems of equations using substitution/elimination
Step-by-step explanation:
<u>Step 1: Define Systems</u>
y = -x + 1
2x + 3y = 6
<u>Step 2: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: 2x + 3(-x + 1) = 6
- Distribute 3: 2x - 3x + 3 = 6
- Combine like terms: -x + 3 = 6
- Isolate <em>x</em> terms: -x = 3
- Isolate <em>x</em>: x = -3
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define equation: y = -x + 1
- Substitute in <em>x</em>: y = -(-3) + 1
- Simplify: y = 3 + 1
- Add: y = 4
240 yards per hour is 720 feet per hourto convert hours to seconds, divide 720 feet by 3600 seconds per hour to get0.2 feet/foot per secondOR1/5 feet/foot per second
Step-by-step explanation:
The function translation / transformation rules: f (x) + b shifts the function b units upward. f (x) − b shifts the function b units downward. f (x + b) shifts the function b units to the left
Hello again. :)
Step 1: Make both fractions have common denominators. (24/60 and 25/60)
Step 2: Add the fractions. (49/60)
Step 3: Subtract 49 from 60. (11/60)
Step 4: The answer is B.
Hope this helps! <span>＼(≧▽≦)／</span>
The probability would be 15 over 24.
We can tell this because by the table, the number 2 was rolled 4 total times, the number 4 was rolled 9 total times and the number 6 was rolled 2 total times. When you add those together you get 15. You can state the probability by expressing with the number of times rolled over total times rolled. Since it was rolled a total of 24 times, we are left with 15/24.
