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3 years ago

I need THREE points to graph -3y=5x-7

Mathematics

1 answer:

jonny [76]3 years ago

6 0

Your answer to look for is: Slope ( -5/3 ) & Y-intercept ( 7/3 )

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3 years ago

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RoseWind [281]

There are 2 ways to do this. I'm going to do it the way that I think is most simple.

You have to find their LCM which is 40. Now times 40 to 1/4 v and 7/10

The equation then becomes 10+40v=28

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2 years ago

Read 2 more answers

Write the given linear system in matrix form. Assume X = x y z . dx dt = −8x + 7y − 9z dy dt = 5x − y dz dt = 10x + 7y + 8z

Akimi4 [234]

Answer:

The matrix form of given linear system is

$\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

Step-by-step explanation:

Let as assume that

$X=\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

Given differential equations are

$\frac{dx}{dt}=-8x+7y-9z$

$\frac{dy}{dt}=5x-y$

$\frac{dz}{dt}=10x+7y+8z$

We need to find the matrix form of given linear system.

Write the elements of left side in a column matrix.

Write all the coefficients in one matrix first which is called a coefficient matrix. Multiply coefficient matrix with the variables matrix and equate left and right side.

$\begin{bmatrix}\frac{dx}{dt}\\ \frac{dy}{dt}\\ \frac{dz}{dt}\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

It can be written as

$\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}$

6 0

4 years ago

Can anyone help me on this?

Ugo [173]

Answer:

$x = 1, -5$

Step-by-step explanation:

$f(x) = x^2 +4x - 5$

Factor the expression. Factoring is the process of writing out an expression by using other expressions such that when the other expression are multiplied together, the resulting expression is the initial expression.

$f(x)=x^2+4x-5$

$f(x)=(x+5)(x-1)$

Now set the expression equal to zero to find the roots (also known are zeros) of the expression. Use the zero product property to find the answers, the zero product property states that any number times zero is zero.

$0=(x+5)(x-1)\\$

$x=-5,x=1$

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3 years ago