The graph represents this system of equations.
1 answer:
Answer:
The answer to your question is (1, -2)
Step-by-step explanation:
See the graph below, in the graph, the solution is circled (1, -2). The solution is the point where the lines cross.
To check the answer, let's solve the system using algebra.
y = 2x - 4
y = 1 - 3x
2x - 4 = 1 - 3x
2x + 3x = 1 + 4
5x = 5
x = 5/5
x = 1
Find y by substitution
y = 2(1) - 4
y = 2 - 4
y = -2
Solution
(1, -2)
You might be interested in
Solving quadratic equations, it is found that he needs to charge:
1. He needs to charge $40 to break even.
2. He needs to charge $30 for a profit of $600.
<h3>What is a quadratic function?</h3>A quadratic function is given according to the following rule:
The solutions are:
In which:
The profit equation in this problem is:
P(x) = -3x² + 150x - 1200.
He breaks even when P(x) = 0, hence:
-3x² + 150x - 1200 = 0.
The coefficients are a = -3, b = 150, c = -1200, hence:
He needs to charge $40 to break even.
For a profit of $600, we have that P(x) = 600, hence:
-3x² + 150x - 1200 = 600.
-3x² + 150x - 1800 = 0.
The coefficients are a = -3, b = 150, c = -1800, hence:
He needs to charge $30 for a profit of $600.
More can be learned about quadratic equations at brainly.com/question/24737967
#SPJ1