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3 years ago

9

the independent variable is the length of the side of a cube and the dependent is the volume of a cube. Is this relationship a f

unction?

1 answer:

Effectus [21]3 years ago

8 0

The relation is y = x^3, for x > 0.
If you graph it, you'll see that it passes the vertical line test, so it is a function.

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What is the slope of the line that passes through the pair of points (-1, 4), (3,12)

Nadya [2.5K]

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$\displaystyle m = 2$

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right<u> </u>

<u>Algebra I</u>

Coordinates (x, y)
Slope Formula: $\displaystyle m = \frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-1, 4)

Point (3, 12)

<u>Step 2: Find slope </u><em><u>m</u></em>

Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>

Substitute in points [Slope Formula]: $\displaystyle m = \frac{12-4}{3--1}$
[Fraction] Subtract: $\displaystyle m = \frac{8}{4}$
[Fraction] Divide: $\displaystyle m = 2$

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