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3 years ago

Which of the following equations is an example of inverse variation between variables x and y

Mathematics

1 answer:

Firdavs [7]3 years ago

3 0

Answer:

option A y=9/x

Step-by-step explanation:

It is said that two variables x and y vary inversely if the increase of one of the variables causes the other to decrease.

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Find the derivative of

kirill [66]

Answer:

$\displaystyle y'(1, \frac{3}{2}) = -3$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \frac{3}{2x^2}$

$\displaystyle \text{Point} \ (1, \frac{3}{2})$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y = \frac{3}{2}x^{-2}$
Basic Power Rule: $\displaystyle y' = -2 \cdot \frac{3}{2}x^{-2 - 1}$
Simplify: $\displaystyle y' = -3x^{-3}$
Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{-3}{x^3}$

Step 3: Solve

Substitute in coordinate [Derivative]: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1^3}$
Evaluate exponents: $\displaystyle y'(1, \frac{3}{2}) = \frac{-3}{1}$
Divide: $\displaystyle y'(1, \frac{3}{2}) = -3$

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

Unit: Derivatives

Book: College Calculus 10e

6 0

2 years ago

Tanya, Will, and juan are playing a game online.juan scores 101,473 points.tanya scores 9,879 fewer points than juan and will sc

Dimas [21]

You need to take 101473 and subtract 9879 which equals 91593 and then add 9853 to equal 101447

5 0

3 years ago

Read 2 more answers

The water temperature required for a certain manufacturing process is 134°F. However, the process allows for a variation of 7°F

Y_Kistochka [10]

Answer:

The temperature that represents a smaller value would be the one with negative eighty (or -80) degrees Fahrenheit. Although it is negative, the value of 80 does not mean it has a smaller value as to 134 degrees. It is just that the difference between the absolute values of the two show that 134 degrees Fahrenheit has a bigger value.

Step-by-step explanation:

3 0

3 years ago

Solve for x.7x + 14 – 2x = −x + 12 – x − 19A.x = −3B.x = −1C.x = 1D.x = 3

lara31 [8.8K]

7x+14-2x=-x+12-x-19
collect like terms
7x-2x+X+X+19=12-14
7x+19+2
7x=-21
x-21/7
X=-3

4 0

3 years ago

The quotient of 5/31 divided by 15/23, reduced to the lowest fraction, is

Nataliya [291]

If you would like to solve 5/31 / 15/23, you can calculate this using the following steps:

5/31 / 15/23 = 5/31 * 23/15 = 23/93

The correct result would be C. 23/93.

6 0

3 years ago

Read 2 more answers