Efan Halliday
2021-06-11
Answered

The three forms of linear equations you have studied are slope-intercept form, point-slope form, and standard form. Explain when each form is most useful.

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komunidadO

Answered 2021-06-12
Author has **86** answers

If we have the slope m and the y-intercept b, then we should use the slope-intercept form

If we have the slope m and the point

If we have the x-intercept and the y-intercept , then we should use the standard form

Where x-intercept is - and y-intercept is

asked 2021-06-01

Find the linear approximation of the function

Use L(x) to approximate the numbers

asked 2022-02-22

This question from linear algebra

Suppose you [ have a consistent system of linear equations, with coefficients in R, which are homogeneous - that is, all the$b}_{i$ are 0. Explain why the set of solutions to this system forms a vector space over $\mathbb{R}$ . Then, explain why if the system was not homogeneous (i.e. if at least one of the $b}_{i$ is nonzero) the set of solutions would definitely NOT form a vector space over $\mathbb{R}$ .

Who knows?

Suppose you [ have a consistent system of linear equations, with coefficients in R, which are homogeneous - that is, all the

Who knows?

asked 2021-06-01

Fill in the blanks. The process used to write a system of linear equations in row-echelon form is called ________ elimination.

asked 2022-02-22

My HW asks me to solve the following Linear Recurrence:

$f\left(0\right)=3$

$f\left(1\right)=1$

$f\left(n\right)=4f(n-1)+21f(n-2)$

Unfortunately my professor ran through the concept of Linear Recurrence rather quickly so I'm stuck. But this is what I've done so far:

1). Assuming${x}_{n}=f\left(n\right)$ , I rewrote the equation as $x}^{n}=4{x}^{n-1}+21{x}^{n-2$ .

2). I then divided each part of the equation using the common factor$x}^{n-2$ to get ${x}^{2}=4x+21$ , a quadratic.

3). I then used the quadratic formula to get two values, 6 and 2.

From here I don't know how to proceed. I know I'm trying to write a closed form of the above equation, right? How do the values I've found figure into that? I'm also not sure what the salience of 'the boundary conditions' are (are those$f\left(0\right)=3$ and $f\left(1\right)=1$ ?).

Unfortunately my professor ran through the concept of Linear Recurrence rather quickly so I'm stuck. But this is what I've done so far:

1). Assuming

2). I then divided each part of the equation using the common factor

3). I then used the quadratic formula to get two values, 6 and 2.

From here I don't know how to proceed. I know I'm trying to write a closed form of the above equation, right? How do the values I've found figure into that? I'm also not sure what the salience of 'the boundary conditions' are (are those

asked 2021-06-07

The table shows the number y of muffins baked in x pans. What 1s
the missing y-value that makes the table represent a linear function?

asked 2021-03-11

Determine if (1,3) is a solution to the given system of linear equations.

$5x+y=8$

$x+2y=5$

asked 2022-02-22

Consider a simple linear equation of the form:

$n=\frac{2x+2}{3}$

Let n and x represent something that comes in whole positive quantities (for example physical objects).

How can I

1.Define the equation only for n and x that are a part of natural numbers (whole numbers >0)

2.Solve the equation satisfying the above restriction (without for instace graphing it and looking for n and x that work)

Thanks!

Let n and x represent something that comes in whole positive quantities (for example physical objects).

How can I

1.Define the equation only for n and x that are a part of natural numbers (whole numbers >0)

2.Solve the equation satisfying the above restriction (without for instace graphing it and looking for n and x that work)

Thanks!