3 years ago

Find f(3) for f(x)=1/2(4)^x

Mathematics

1 answer:

Ede4ka [16]3 years ago

6 0

Answer:

A. 32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 1/2(4)ˣ

f(3) is x = 3

Step 2: Evaluate

Substitute in x: f(3) = 1/2(4)³
Exponents: f(3) = 1/2(64)
Multiply: f(3) = 32

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Step-by-step explanation:

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12. Again by inscribed angle theorem:

$(5x+11)°=\frac{1}{2} \times (16x-26)°\\\\2\times (5x+11)°= (16x-26)°\\(10x+22)°= (16x-26)°\\10x + 22 = 16x - 26\\22+26 = 16x - 10x\\48= 6x\\\\x = \frac{48}{6}\\\\\huge \purple{\boxed {x = 8}}\\m\angle ABC = (5x+11)°\\m\angle ABC = (5\times 8+11)°\\m\angle ABC = (40+11)°\\\huge \orange{\boxed {m\angle ABC = 51°}} \\$