The system of equations represented by the graph is:
y = x - 6
y + x = -2
And the solution is (2, -4), then the correct option is the first one.
<h3>
What system is represented by the graph?</h3>
On the graph, we can see a system of linear equations, we can see a line with a positive slope and a line with a negative slope.
The line with a positive slope intercepts the y-axis at y = -6, then that line is:
y = a*x - 6
with a > 0.
The other line passes through the y-axis at y = -2, then the linear equation is:
y = b*x - 2
Where b < 0.
Also, remember that the solution for the system of equations is the point where the two lines intersect, so we can see that the solution is at (2, -4)
The only option that meets all the criteria is the first option:
y = x - 6
x + y = -2
And the solution is (2, -4)
Learn more about systems of equations:
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Answer:
This statement would be true.
Step-by-step explanation:
Answer:
1.125 lb, or 1 1/8 lb
Step-by-step explanation:
Multiply 18 oz by the conversion factor 1 lb / 16 oz:
18 oz 1 lb
------------ * ------------- = 1.125 lb, or 1 1/8 lb
1 16 oz
We are given an exponential function:
f (x) = 2e^(3x)
The standard form of an exponential function is Aoe^(bx),
where Ao is the initial value of the function
b is the growth factor of the function
To graph the function, assign values of x then solve for the values of y corresponding the values of x.
Answer:
Option B
Step-by-step explanation:
Notice that the region of the inequality is bounded by a line.
The first thing to do is find the equation of this line.
Note that the line intersects the x-axis at 
and intercepts the y-axis at 
We know that the equation of a line has the following form:
Where m is the slope of the line and b is the intercept with the y axis.
So we already know that:
Then we know that when then 
Thus:
Ahroa we clear m.
Then, the equation of the line is:
We can also multiply by -2 both sides of the equation and we have:
Then:
The option that contains this equation is option B.
To verify it, enter a point within the shaded region, such as the point (0,0), in the selected inequality. If the inequality is satisfied then option B is correct
The inequality is satisfied because 0 is less than 5. Then the correct option is B
