Ask question

Ask question

All categories

2 years ago

15

Richard is frustrated. He knows the line to the right should have a 3 and a 4 in the equation but he can't remember if it is y =

4x + 3 or y = 3x + 4. a. Which equation is correct? How do you know?

1 answer:

Alisiya [41]2 years ago

7 0

Answer:

The correct equation is "y=4x+3"

Step-by-step explanation:

Given equation:

$y= 4x+3 \ \ or \ \ y=3x+4$

As per the given line formula:

$\to y=mx+c$

The slope(m) of the line is $\frac{4}{1} = 4$ and y-intercept at 3, that is the point (c). So, the correct equation of the line: $y = 4x + 3$

You might be interested in

What is the first step in solving for the solution to this problem? <br><br> 2(m + 10) = 4(m -15)

harkovskaia [24]

Answer:

Multiplying the variables and numbers in the parentheses by the number next to them.

Step-by-step explanation:

6 0

3 years ago

A store is offering a 40% discount on a video game. The sales price of the video with the discount is $18. What is the regular p

attashe74 [19]

Answer:

I belive the regular price is $25.20

Step-by-step explanation:

hope that helps :))

8 0

3 years ago

The third-degree Taylor polynomial about x = 0 of In(1 - x) is

gizmo_the_mogwai [7]

Answer:

$\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}$

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>

Functions
Function Notation

<u>Calculus</u>

Derivatives

Derivative Notation

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

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

MacLaurin/Taylor Polynomials

Approximating Transcendental and Elementary functions
MacLaurin Polynomial: $\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + ... + \frac{f^{(n)}(0)}{n!}x^n$
Taylor Polynomial: $\displaystyle P_n(x) = \frac{f(c)}{0!} + \frac{f'(c)}{1!}(x - c) + \frac{f''(c)}{2!}(x - c)^2 + \frac{f'''(c)}{3!}(x - c)^3 + ... + \frac{f^{(n)}(c)}{n!}(x - c)^n$

Step-by-step explanation:

*Note: I will not be showing the work for derivatives as it is relatively straightforward. If you request for me to show that portion, please leave a comment so I can add it. I will also not show work for elementary calculations.

<u />

<u>Step 1: Define</u>

<em>Identify</em>

f(x) = ln(1 - x)

Center: x = 0

<em>n</em> = 3

<u>Step 2: Differentiate</u>

[Function] 1st Derivative: $\displaystyle f'(x) = \frac{1}{x - 1}$
[Function] 2nd Derivative: $\displaystyle f''(x) = \frac{-1}{(x - 1)^2}$
[Function] 3rd Derivative: $\displaystyle f'''(x) = \frac{2}{(x - 1)^3}$

<u>Step 3: Evaluate Functions</u>

Substitute in center <em>x</em> [Function]: $\displaystyle f(0) = ln(1 - 0)$
Simplify: $\displaystyle f(0) = 0$
Substitute in center <em>x</em> [1st Derivative]: $\displaystyle f'(0) = \frac{1}{0 - 1}$
Simplify: $\displaystyle f'(0) = -1$
Substitute in center <em>x</em> [2nd Derivative]: $\displaystyle f''(0) = \frac{-1}{(0 - 1)^2}$
Simplify: $\displaystyle f''(0) = -1$
Substitute in center <em>x</em> [3rd Derivative]: $\displaystyle f'''(0) = \frac{2}{(0 - 1)^3}$
Simplify: $\displaystyle f'''(0) = -2$

<u>Step 4: Write Taylor Polynomial</u>

Substitute in derivative function values [MacLaurin Polynomial]: $\displaystyle P_3(x) = \frac{0}{0!} + \frac{-1}{1!}x + \frac{-1}{2!}x^2 + \frac{-2}{3!}x^3$
Simplify: $\displaystyle P_3(x) = -x - \frac{x^2}{2} - \frac{x^3}{3}$

Topic: AP Calculus BC (Calculus I/II)

Unit: Taylor Polynomials and Approximations

Book: College Calculus 10e

5 0

3 years ago

Identify the slope and y-intercept of the graph of the line: 4x + 2y = −12?

ivann1987 [24]

Answer:

y=-6+2x

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Which answer choice shows the correct width and length of a rectangle with a perimeter of 220 inches?

stepladder [879]

Answer:

Ur answer will be D. Length: 50 in.; Width: 60 in.

Step-by-step explanation:

Just add all of them and then do the answer times 2.

Work:

A.

62 + 40 = 112

112 x 2 = 204

B.

20 + 11 = 31

31 x 2 = 62

C.

10 + 20 = 30

30 x 2 = 60

D.

60 + 50 = 110

110 x 2 = 220

Hope this helps! Brainliest plz?

4 0

2 years ago

Read 2 more answers