Answer:
R(x) - S(x) = 9x + 5
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>
- Terms/Coefficients
- Function Notation
Step-by-step explanation:
<u>Step 1: Define</u>
R(x) = 6x - 3
S(x) = -3x - 8
<u>Step 2: Find</u>
- Substitute in functions: R(x) - S(x) = 6x - 3 - (-3x - 8)
- [Distributive Property] Distribute negative: R(x) - S(x) = 6x - 3 + 3x + 8
- [Addition] Combine like terms: R(x) - S(x) = 9x + 5
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
But these things will change direction of the inequality:
Don't multiply or divide by a variable (unless you know it is always positive or always negative)
Jackson would have to pay $100 more then his dad
(Jackson)$1,000x.15= $150 Interest
(His Dad)$1,000x.05= $50 Interest
Answer:
c
Step-by-step explanation:
Answer: 4/13
Step-by-step explanation:
Number of cards in a deck = 52
Number of spades = 13
Number of aces = 4
Number of ace of spade = 1
Probability of either a spade or an ace :
P(spade or ace) = P(spade U ace)
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
Probability = required outcome / Total possible outcomes
P(spade) = 13 / 52
P(ace) = 4 / 52
P(spade n ace) = 1 / 52
P(spade U ace) = p(spade) + p(ace) - p(spade n ace)
= 13/52 + 4/52 - 1/52
= 16 / 52 = 4 /13
