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Debora [2.8K]
3 years ago
14

F(x)=-2x² + 3x-6, find f (3)

Mathematics
2 answers:
Law Incorporation [45]3 years ago
8 0

Answer:

f(3) = -15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Functions
  • Function Notation

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

<u>Step 2: Evaluate</u>

  1. Substitute in <em>x</em> [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6
  2. Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6
  3. Multiply:                                                                                                             f(3) = -18 + 9 - 6
  4. Add:                                                                                                                   f(3) = -9 - 6
  5. Subtract:                                                                                                            f(3) = -15
svet-max [94.6K]3 years ago
5 0

Answer:

f(3) = -15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets

Parenthesis

Exponents

Multiplication

Division

Addition

Subtraction

Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = -2x² + 3x - 6

f(3) is x = 3 for the function f(x)

Step 2: Evaluate

Substitute in x [Function]:                                                                                f(3) = -2(3)² + 3(3) - 6

Exponents:                                                                                                        f(3) = -2(9) + 3(3) - 6

Multiply:                                                                                                             f(3) = -18 + 9 - 6

Add:                                                                                                                   f(3) = -9 - 6

Subtract:                                                                                                            f(3) = -15

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b)

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Step-by-step explanation:

a. Write the function that represents the value of the account at any time, t.

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where

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Time Period = t

To Determine:

The total amount A = ?

Using the formula

A\:=\:P\left(1\:+\:\frac{r}{n}\right)^{nt}

substituting the values

A\:=\:4200\left(1\:+\:\frac{0.003}{12}\right)^{\left(12\right)\left(10\right)}

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