Olivia is making salad dressing. She has ⅞ cup of olive oil. She needs 1/3 cup for the first recipe and ¼ cup for her second recipe. Does she have enough olive oil for both recipes?

(h + g)(8) = 67

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Combining Like TermsFunction Notation

Step-by-step explanation:

Step 1: Define

h(t) = t² + 2t

g(t) = -t - 5

Step 2: Find (h + g)(x)

Substitute:                    (h + g)(x) = t² + 2t - t - 5Combine like terms:    (h + g)(x) = t² + t - 5

Step 3: Find (h + g)(8)

Substitute in x:                    (h + g)(8) = 8² + 8 - 5Exponents:                          (h + g)(8) = 64 + 8 - 5Add:                                     (h + g)(8) = 72 - 5Subtract:                              (h + g)(8) = 67