What does the quadratic function

1 answer:

6 0

Answer:

f(x) = (x -3)^2 - 1

Step-by-step explanation:

f(x) = x^2 - 6x + 8

a = 1, b = -6 and c = 8

So we are finding half of the b equation (ignore the negative sign)

Half of 6 is 3, so we are going to square 3 (3^2 = 9) and add 9 to the left side and subtract 9 to the right side

(x) = (x^2 - 6x + 9) + (8 - 9)

You can tell the polynomial is a perfect square, so we will have to factor it using the perfect square method

(x^2 - 6x + 9)

square toot of x^2 is x and square root of 9 is 3 and the operation sign after the a number is a minus sign

(x -3)^2

Don't forget the rest of the equation from before

(x -3)^2 + (8 - 9)

(x -3)^2 - 1

So the equation is f(x) = (x -3)^2 - 1

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Mrrafil [7]

The last selection should be your answer

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4 years ago

natta225 [31]

Answer:

$\displaystyle V = 2144.66 \ ft^3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Volume of a Sphere Formula: $\displaystyle V = \frac{4}{3} \pi r^3$

Step-by-step explanation:

Step 1: Define

Identify variables

r = 8 ft

Step 2: Find Volume

Substitute in variables [Volume of a Sphere Formula]: $\displaystyle V = \frac{4}{3} \pi (8 \ ft)^3$
Evaluate exponents: $\displaystyle V = \frac{4}{3} \pi (512\ ft^3)$
Multiply: $\displaystyle V = \frac{2048}{3} \pi \ ft^3$
Estimate: $\displaystyle V = 2144.66 \ ft^3$