The graph plots four equations, A, B, C, and D:

Mathematics

2 answers:

olasank [31]3 years ago

5 0

For this case, the first thing you should do is observe the intersession of the lines.
The solution of the intersection of the lines will be given by an ordered pair of the form:
(x, y)
So, for the next ordered pair:
(x, y) = (0, 8)
We have the lines that intersect are:
Line A
Line C
Answer:
A pair of equations that has (0, 8) as its solution are:
Equation A and Equation C

hram777 [196]3 years ago

4 0

By looking at the graph, it seems Equation A and Equation C both intersect at (0, 8). So the first answer is correct.

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2y = 4x - 8 <br>3x + 2y = 6<br>graph

Vinvika [58]

Answer:

see attached

Step-by-step explanation:

I find it convenient to let a graphing calculator draw the graph (attached).

If you're drawing the graph by hand, there are a couple of strategies that can be useful.

The first equation is almost in slope-intercept form. Dividing it by 2 will put it in that form:

y = 2x -4

This tells you that the y-intercept, (0, -4) is a point on the graph, as is the point that is up 2 and right 1 from there: (1, -2). A line through those points completes the graph.

The second equation is in standard form, so the x- and y-intercepts are easily found. One way to do that is to divide by the constant on the right to get ...

x/2 +y/3 = 1

The denominators of the x-term and the y-term are the x-intercept and the y-intercept, respectively. If that is too mind-bending, you can simply set x=0 to find the y-intercept:

0 +2y = 6

y = 6/2 = 3

and set y=0 to find the x-intercept

3x +0 = 6

x = 6/3 = 2

Plot the intercepts and draw the line through them for the graph of this equation.

___

Here, we have suggested graphing strategies that don't involve a lot of manipulation of the equations. The idea is to get there as quickly as possible with a minimum of mistakes.

8 0

3 years ago

Please explain how to get the answer

meriva

Q must be positive in F.

F. r squared will be positive, because any number times itself is positive, and to get a positive number for the answer, the two numbers you multiply need to be the same sign. If r squared is positive, q must be too.

G. q does not have to be positive. If r is a negative number, then q can be negative. Say q=-2 and r=-3. -2-(-3) changes to -2+3, which equals 1.

H. Again, q can be negative if r is negative (two negative numbers multiplied together equals a positive answer.

J. q can be negative because even a negative number turns positive when squared.

Hope this helped you. :)

8 0

3 years ago

What is the row echelon form of this matrix?

USPshnik [31]

The row echelon form of the matrix is presented as follows;

$\begin{bmatrix}1 &-2 &-5 \\ 0& 1 & -7\\ 0&0 &1 \\\end{bmatrix}$

<h3>What is the row echelon form of a matrix?</h3>

The row echelon form of a matrix has the rows consisting entirely of zeros at the bottom, and the first entry of a row that is not entirely zero is a one.

The given matrix is presented as follows;

$\begin{bmatrix}-3 &6 &15 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$

The conditions of a matrix in the row echelon form are as follows;

There are row having nonzero entries above the zero rows.
The first nonzero entry in a nonzero row is a one.
The location of the leading one in a nonzero row is to the left of the leading one in the next lower rows.

Dividing Row 1 by -3 gives:

$\begin{bmatrix}1 &-2 &-5 \\ 2& -6 & 4\\ 1&0 &-1 \\\end{bmatrix}$