All categories

3 years ago

What is the average rate of change of the function g(x) = 3(2x) - 6 over the interval 0<=x<=3? Show all work.

Mathematics

1 answer:

Tems11 [23]3 years ago

4 0

The only thing you need to do is to plug in x to get y.hope this helps if it does please mark brainliest

You might be interested in

Write 4.135 as a fraction

Nuetrik [128]

Answer:

Step-by-step explanation:

827/200

8 0

3 years ago

Read 2 more answers

William buys a basket of pomegranates on sale for $10 before tax. The sales tax is 17%, percent. What is the total price William

maks197457 [2]

William paid $11.70 for the pomegranates because 17% of 10 is 1.7. When you add that back to your original $10, you get $11.70.

4 0

3 years ago

A washer and dryer cost $803 combind the washer costs $47 less then the dryer whats is the cost of the dryer

Naddik [55]

Answer:

the dryer costs $425

Step-by-step explanation:

x = washer

y = dryer

x + y = 803

x = y - 47

using the second equation a substitute in the first equation we get

y - 47 + y = 803

2y = 850

y = $425

FYI

x = y - 47 = 425 - 47 = $378

3 0

3 years ago

Read 2 more answers

Account A and Account B both have a principal of $1,000 and an annual interest rate of 4%. No additional deposits or withdrawals

postnew [5]

Account A
Total-$1800
Interest-$800

Account B-
Total-$2191.12
Interest-$1191.12

Account B by $391.12

4 0

3 years ago

The curve

kherson [118]

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Anything to the 0th power is 1
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

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

Step-by-step explanation:

Step 1: Define

$\displaystyle y = \sqrt{x - 3}$

$\displaystyle y' = \frac{1}{2}$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y = (x - 3)^{\frac{1}{2}}$
Chain Rule: $\displaystyle y' = \frac{d}{dx}[(x - 3)^{\frac{1}{2}}] \cdot \frac{d}{dx}[x - 3]$
Basic Power Rule: $\displaystyle y' = \frac{1}{2}(x - 3)^{\frac{1}{2} - 1} \cdot (1 \cdot x^{1 - 1} - 0)$
Simplify: $\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}} \cdot 1$
Multiply: $\displaystyle y' = \frac{1}{2}(x - 3)^{-\frac{1}{2}}$
[Derivative] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{1}{2(x - 3)^{\frac{1}{2}}}$
[Derivative] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y' = \frac{1}{2\sqrt{x - 3}}$

Step 3: Solve

Find coordinates

x-coordinate

Substitute in y' [Derivative]: $\displaystyle \frac{1}{2} = \frac{1}{2\sqrt{x - 3}}$
[Multiplication Property of Equality] Multiply 2 on both sides: $\displaystyle 1 = \frac{1}{\sqrt{x - 3}}$
[Multiplication Property of Equality] Multiply √(x - 3) on both sides: $\displaystyle \sqrt{x - 3} = 1$
[Equality Property] Square both sides: $\displaystyle x - 3 = 1$
[Addition Property of Equality] Add 3 on both sides: $\displaystyle x = 4$