Answer:
14x−6
Step-by-step explanation:
Answer:
The graph in the attached figure
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line <u><em>and the line passes through the origin</em></u>
In this problem the given line represent a proportional relationship, because passes through the origin
we have
---> the constant of proportionality k is equal to the slope
substitute
The linear equation is
To draw a line we need two points
we have (0,0)
To find the other point
assume x=3 and substitute in the equation to solve for y
so
The other point is (3,4)
using a graphing tool
Plot the points (0,0) and (3,4)
To graph the line join the points
see the attached figure
<u>Answer </u><u>:</u><u>-</u>
Given inequality ,
- -5x +3y > 12
- 3y > 5x + 12
- y > 5/3x + 12/3
- y > 5/3x + 4
From the options ,
<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>and </u><u>y </u><u>=</u><u> </u><u>9</u>
- y >1* 5 + 4
- y > 5 +4
- 9> 9 ( Not possible )
<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>5</u><u> </u><u>y</u><u> </u><u>is </u><u>5</u><u> </u>
- y > 5/3*-5 + 4
- y > -8.3 + 4
- 5 > -3.7 ( Possible )
<u>When </u><u>x </u><u>is </u><u>3</u><u> </u><u>y </u><u>is </u><u>-</u><u>6</u><u> </u>
- y > 5 + 4
- -6 > 9 ( Not possible )
<u>When </u><u>x </u><u>is </u><u>-</u><u>2</u><u> </u><u>y </u><u>is </u><u>-</u><u>5</u><u> </u>
- y > -3.33 + 4
- -5 > -0.67 ( Possible )
<u>When </u><u>x </u><u>is </u><u>2</u><u> </u><u>y </u><u>is </u><u>8</u><u> </u>
- y > 3.33 + 4
- 8 > 7.77 ( possible )
<u>When</u><u> </u><u>x </u><u>is </u><u>-</u><u>6</u><u> </u><u>y </u><u>is </u><u>0</u><u> </u>
- y > -10 +4
- 0 > -6 ( possible )
the vertical line test is a graphical way to determine whether or not the graph is a function of x
if you can draw a vertical line on a graph and cross the graph at least 2 times, the graph is not a function
a function will have 1 y value for every x value, therefore, if we can draw a vertical line (x=c, a constant) that intersects the curve at more than 1 point, then that point where it intersects at more than 1 point is where 1 value of x coresponds to more than 1 value of y and is therefore not a function