Answer:
x=2, y=3
Step-by-step explanation:
First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.
Plugging these values in the equations for x and y, you can see if these are the correct answers:
(3)=3(2)-3, (2)+(3)=5
Since both of these are true, you have the right answer.
Hope this helps!
Answer:
The graph in the attached figure
Step-by-step explanation:
we have
----> inequality A
solve for y
The solution of the inequality A is the shaded area above the dashed line
The slope of the dashed line is positive
The y-intercept is the point
The x-intercept is the point
----> inequality B
The solution of the inequality B is the shaded area below the dashed line
The slope of the dashed line is positive
The y-intercept is the point
The x-intercept is the point
Using a graphing tool
The solution of the system of inequalities in the attached figure
Answer:
She must sell at least 18 policies to make an annual income of at least $8,000
Step-by-step explanation:
Let be the number of policies Mrs. Robinson must sell
We know that Mrs. Robins makes 3% on commission for each policy sold. We also know that the average price of a policy is $6,100, so she makes 3% of $6,100 per policy sold. To find the 3% of $6,100 we just need to multiply 3% and $6,100; then dive the result by 100%:
Now we know that she makes $183 per policy sold. Since is the number of policies sold,
is her total commission for selling
policies.
We also know that She makes $4,800 per year, so her total annual income is her salary plus her commissions, in other words:
Finally, we know that she wants to make at least $8,000, so her salary plus her commissions must be greater or equal than $8,000:
Let's solve the inequality:
1. Subtract 4800 from both sides
2. Divide both sides by 183
Since she can't sell a fraction of a policy, we must round the result to the next integer:
We can conclude that she must sell 18 policies to make an annual income of at least $8,000.