Question

Evaluate h(4-n) given that h(t) = 7 - 11t

Answer 1

Answer:

h(4 - n) = 11n - 37

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Distributive Property

Algebra I

• Function Notation

Step-by-step explanation:

Step 1: Define

h(t) = 7 - 11t

h(4 - n) is t = 4 - n

Step 2: Evaluate

1. Substitute in t [Function]:                                                                               h(4 - n) = 7 - 11(4 - n)
2. [Distributive Property] Distribute -11:                                                             h(4 - n) = 7 - 44 + 11n
3. [Subtraction] Combine like terms:                                                                h(4 - n) = -37 + 11n
4. Rewrite:                                                                                                           h(4 - n) = 11n - 37