The graph below shows the solution to which system of inequalities
2 answers:
The answer is
the option A
<span>The graph shows the solution of the system of inequalities
y> -3
y<=-x
using a graph tool
see the attached figure</span>
the option A
<span>The graph shows the solution of the system of inequalities
y> -3
y<=-x
using a graph tool
see the attached figure</span>
Answer: The correct option is A.
Explanation:
From the given figure it is noticed that at y = -3 there is dotted line and the it shaded in upward direction.
Since it is a dotted line -3 will not included. It means it will take all value of y which are more than -3.
......(1)
The second line passing through the origin, slope is negative and change in y is same as change in x, therefore the equation of line is y = -x.
The line shaded downwards it means all the point in shaded region will satisfies the inequality.
The point (-5,1) is in shaded region. check this point for the line y=-x
We know that 1 is less than 5 and it is not a dotted line it means the sign of inequality is less than or equal to. so, the equation is,
Therefore, the correct option is A.
You might be interested in
Answer:
The slope is . The slope means that the amount of money in the account is decreasing at a rate of $
every week.
Step-by-step explanation:
Given coordinates are
We need to find the slope of the graph, and explain what does slope means for this graph.
The formula for computing slope is
Where and
are the point on the line.
Let us plug points in the equation
Here, the negative sign of slope represents that the value of the function (budget) is decreasing, with an increase in time (week).
The slope is . The slope means that the amount of money in the account is decreasing at a rate of $
every week.