Answer:
The graph in the attached figure
Step-by-step explanation:
we have
The solution of the inequality is the shaded area above the dashed line
The equation of the dashed line is 
The slope of the dashed line is positive (m=5/3)
The x-intercept of the dashed line is (3.6,0) (value of x when y is zero)
The y-intercept of the dashed line is (0,-6) (value of y when x is zero)
therefore
using a graphing tool
The graph in the attached figure
Answer:
I gave you most of the answer. I'll let you check my work and find the point using the solution.
Step-by-step explanation:
The first thing we do is we divide by negative one in the first equation to get
y = -x.
-3x + 3y = -36
Plug in y = -x and get
-3x + 3(-x) = -36
= -3x - 3x = -36
This equals -6x = -36
divide both sides by -6 and you get 6. 6 is your x value
Plug 6 back in to the second equation.
-3x + 3y = -36
-3(6) + 3y = -36
-18 + 3y = -36
3y = -18
y = -6
Given:
y varies directly with x,
It is given that y = 7 when x = -9.
To find:
The value of y when x = 27 for the direct variation.
Solution:
It is given that y varies directly with x, so
...(i)
Where, k is the constant of proportionality.
It is given that y = 7 when x = -9. Putting these values in (i), we get
Putting 
in (i), we get
Putting 
, we get
Therefore, the required value is .
Answer:
We know the x-intercept only
Explanation:
To answer this equation, we need to go through the options individually and use both points to determine if they are true or false.
• Option 1 - False
According to the the first point given, we know the x-intercept is (3, 0).
• Option 2 - True
We only know the x-intercept. It is (3, 0) which is the first point given. We do not know the y-intercept.
• Option 3 - False
We do not know the y-intercept. We only know the x-intercept. In order to know the y-intercept the second point given must include a zero as the x point. The second point give does not include a zero. It is (-1, -3).
• Option 4 - False
We do not know the y-intercept
