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2 years ago

What is the y-intercept of the function f(x)=-2/9x + 1/3 ?

Mathematics

2 answers:

lorasvet [3.4K]2 years ago

6 0

Answer:

Approximately 0.333

Step-by-step explanation:

If we graph this we see that the line goes over the y-axis at (0,0.333)

*I use desmos graphing calculator*

V125BC [204]2 years ago

5 0

Answer:

1/3 is the y-intercept of the function f(x)=-2/9x + 1/3.

Step-by-step explanation:

$f(x) = mx + c \\ f(x) = - \frac{2}{9} x + \frac{1}{3}\\where,\:c\: is\: the\: intercept.$

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Step-by-step explanation:

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3 years ago

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3 years ago

-3 (v + 4) = 2v - 37

asambeis [7]

Step-by-step explanation:

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3 years ago

The length of a rectangle is increasing at a rate of 4 meters per day and the width is increasing at a rate of 1 meter per day.

puteri [66]

Answer:

$\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Area of a Rectangle: A = lw

l is length
w is width

Calculus

Derivatives

Derivative Notation

Implicit Differentiation

Differentiation with respect to time

Derivative Rule [Product Rule]: $\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)$

Step-by-step explanation:

Step 1: Define

$\displaystyle l = 10 \ meters$

$\displaystyle \frac{dl}{dt} = 4 \ m/day$

$\displaystyle w = 23 \ meters$

$\displaystyle \frac{dw}{dt} = 1 \ m/day$

Step 2: Differentiate

[Area of Rectangle] Product Rule: $\displaystyle \frac{dA}{dt} = l\frac{dw}{dt} + w\frac{dl}{dt}$

Step 3: Solve

[Rate] Substitute in variables [Derivative]: $\displaystyle \frac{dA}{dt} = (10 \ m)(1 \ m/day) + (23 \ m)(4 \ m/day)$
[Rate] Multiply: $\displaystyle \frac{dA}{dt} = 10 \ m^2/day + 92 \ m^2/day$
[Rate] Add: $\displaystyle \frac{dA}{dt} = 102 \ m^2/day$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Implicit Differentiation

Book: College Calculus 10e

8 0

3 years ago

What is the y-intercept of the function f(x)=-2/9x + 1/3 ?​

What is the y-intercept of the function f(x)=-2/9x + 1/3 ?