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Recent questions in Forms of linear equations

Memphis Burnett 2022-12-30

The equation of the horizontal line passing through the point (4,-7) is:
A)y−7=0
B)y+7=0
C)y−4=0
D)y+4=0

Kason Murray 2022-12-21

If two lines are perpendicular, then the product of their slope is _____.
A)0
B)1
C)-1
D)infinite

grapissosmfm 2022-12-17

_____ , is a characteristic of a linear function.
A.Graph has a constant slope
B.Graph does not have a constant slope
C.Graph always pass through the origin
D.Can't be determined

hrostent72t 2022-12-17

Which expression is equal to $- 3 b^{4} (6 b^{-} 8) ?$ Assume $b = / 0$

xuveirubvw 2022-12-10

The line that intersects two parallel lines is called a/an
A.Equivalent line
B.Transversal
C.Corresponding line
D.Origin line

Garrett Mclaughlin 2022-11-27

Solve linear inequality
$\frac{x}{4} - \frac{3}{2} \leq \frac{x}{2} + 1$

Ciara’s World 2022-10-18

Let c be the distance between Carlisle and Wellesley, let b be the distance between Carlisle and Stonebridge, and let a be the distance between Wellesley and Stonebridge.
· If you did a circuit, traveling from Carlisle to Wellesley to Stonebridge and back to Carlisle, you would travel 73 miles.
· The distance from Stonebridge to Carlisle is 12 miles farther than the distance from Wellesley to Carlisle..
· If you drove from Stonebridge to Carlisle and back to Stonebridge, and then continued to Wellesley then back to Stonebridge, you would travel 102 miles.
Write a system of linear equations to represent the situation.

Theyluv.D33 2022-10-16

naomi wants to buy a new computer for $840. She is considering two payments plans that require weekly payments. Which plan will pay for the computer faster ?

Miriam Mekhail 2022-08-28

Construct a graph corresponding to the linear equation y=2x−6 $y = 2 x - 6$ .

Amy Dover 2022-08-24

Assume that a family is purchasing a typical house by making a $30,000 down payment and then financing a $250,000 mortgage at an annual interest rate of 4.25% (a typical rate for a 30-year loan). The size of their monthly payment will depend on the term of the mortgage.
The formula or the Excel function “pmt” can be used to compute these monthly mortgage payments. If using Excel the 3 arguments of function “pmt” are:
Rate (the monthly interest rate): 0.0425/12
Nper (the total number of monthly payments) and
Pv (the mortgage amount)

Find the monthly payments if the $250,000 was financed over 15 years.
Find the monthly payments if the $250,000 was financed over 30 years.
Multiply your answer to part (a) by the number of payments to find how much the family would need to pay in total over the life of the 15-year loan. Subtract the principal amount from this to give the amount of interest paid over the life of the loan.
Multiply your answer to part (b) by the number of payments to find how much the family would need to pay in total over the life of the 30-year loan. Subtract the principal amount from this to give the amount of interest paid over the life of the loan.
A standard rule for lenders is that a family’s house payment should not exceed 28% of their monthly income. For a family making $5500 per month, this would equate to $1540 per month. Assuming monthly costs of $250 for property tax and homeowner’s insurance, this would allow for a $1290 monthly mortgage payment.
The formula or the Excel function “pv” can be used to compute the mortgage a family could afford. If using Excel the 3 arguments of function “pv” are:
Rate (the monthly interest rate): 0.0425/12
Nper (the total number of monthly payments) and
Pmt (the monthly mortgage amount)

Assuming that a family wants to make a $1290 monthly payment, give the mortgage that a family could afford at an annual interest rate 4.25% for a 15-year mortgage.
Assuming that a family wants to make a $1290 monthly payment, give the mortgage that a family could afford at an annual interest rate 4.25% for a 30-year mortgage.

2022-08-19

X-1^3=0

pominjaneh6 2022-08-14

1) Craig is saving to buy a vacation home. He inherits some money from a wealthy uncle, then combines this with the $28,000 he has already saved and doubles the total in a lucky investment. He ends up with $116,000-Just enough to buy a cabin on the lake. How much did he inherit?
2) Solve the nonlinear inequality. Express the solution using interval notation. x^3-64x > 0

Livia Cardenas 2022-07-31

This has four parts to it. the following system of linear equations
x - y =2z=13
2x +2y -z =-6
-x + 3y +z = -7
a) Provide a coefficient matrix corresponding to the system oflinear equations
b) what is the inverse of this matrix?
c) What is the transpose of the matrix?
d) find the determinant for this matrix?

2022-07-28

X-3Z= -3
2X+KY-Z= -2
X+2Y-KZ= 1

Jonathan Miles 2022-07-10

I have two points $(0, 0)$ and $(93, 3)$
I'm trying to work out whether a point is on or below the line segment defined by those two point.
Currently I'm using $A x + B y + C = 0$ to see if a point is on or below this line segment and this works correctly except for when the point is of the form $(0, y)$ or $(x, 0)$
What am I doing wrong? Do I need to use a different form of the linear equation?

malalawak44 2022-07-08

I am trying to solve a system of linear equations that is underdetermined. Meaning the number of unknown is more than the equations. The system is of the form $A x = 0$ . I have seen methods of solving this type of problem when the right hand side is nonzero. Namely, $A x = b ⟹ x = (A^{T} A)^{-} A^{T} b$ . But this method is inapplicable when $b = 0$ . Any suggestions?

DIAMMIBENVERMk1 2022-07-02

Suppose $a_{k} = \frac{1}{2} p (a_{k + 1} + 1) + \frac{1}{2} p (a_{k - 1} + 1) + (1 - p) (a_{k} + 1)$ for $0 < k < n$ and $a_{0} = a_{n} = 0$ and $0 < p < 1$ . How do we find a closed form of $a_{k}$ ? For $p = 1$ , I know the solution is $a_{k} = k (n - k)$ . But I have no idea about this case. It is a system of linear equations, so I think it will a unique solution. In fact, the problem comes from random walk on ${0, 1, 2, . . ., n}$ with absorbing states $0, n$ . And $a_{k}$ is the expectation of number of steps reaching absorbing states when starting at $k$ .
$a_{k} = \frac{1}{2} p (a_{k + 1} + 1) + \frac{1}{2} p (a_{k - 1} + 1) + (1 - p) (a_{k} + 1) \Leftrightarrow p a_{k} = 1 + \frac{1}{2} p a_{k - 1} + \frac{1}{2} p a_{k + 1}$ . Thus if we let $b_{k} = p a_{k},$ , then it is equivalent to $b_{k} = 1 + \frac{1}{2} b_{k - 1} + \frac{1}{2} b_{k + 1}$ , which has solution as above. But how to solve this one about $b_{k}$ ?

Wade Bullock 2022-07-02

I'm having a presentation on Gauss-Seidel iterative method, and although it isn't mandatory , I would like to have some practical examples for this method (a system of linear equations with $n \geq 1000$ , preferrably in .txt form), as well as some implementation details (maybe block GS or something, since I haven't looked that up).
I would love it if you can give me examples from real-world calculations, like in a scientific paper or something.

hryggcx 2022-07-02

Consider a linear matrix differential equation of the form
$\frac{d C}{d t} = A C + C A^{T}$
where $C$ is a symmetric $n \times n$ matrix and $A$ is a $n \times n$ matrix. Find $C (t)$ .
Is there a formal solution for the above equation? This is in principle linear equation if we treat the matrix $C$ and $A$ as a $n^{2}$ vector. However, it does not seem to be practical way to solve the problem.
This kind of differential equations for matrices is quite new to me. Besides the formal solution let me know some books considering similar topic.

Zion Wheeler 2022-06-26

The problem is this:
The impulse response of a system is the output from this system when excited by an input signal $δ (k)$ that is zero everywhere, except at $k = 0$ , where it is equal to 1. Using this definition and the general form of the solution of a difference equation, write the output of a linear system described by:
$y (k) - 3 y (k - 1) - 4 y (k - 2) = δ (k) + 2 δ (k - 1)$
The initial conditions are: $y (- 2) = y (- 1) = 0$ .
My question is: How can the particular solution be found using the method of undetermined coefficients if the non-homogeneous equation is also a difference equation?

Students dealing with post-secondary Algebra will know that linear equation standard form examples are quite hard to find, let alone obtain solutions to questions related to algebraic problems. Luckily, you will find suitable answers to your linear equation standard form tasks by turning to help based on provided solutions. Even though one may use several calculators online, the college professors will require a verbal or written explanation, which is where provided forms of linear equations answers always help to avoid trouble and see the reasoning.

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