Identify a pair of parallel lines in the given figure.
1 answer:
You might be interested in
f(x) has the smallest minimum. The minimum value of f(x) is -3
The largest sin(x) can get is 1.
This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3.
You can see this each time the red curve bottoms out at y = -3.
The smallest that g(x) can get is y = -2 as shown at the vertex (3,-2)
The smallest that h(x) can get is y = 3 as shown by the point (1,3)
See the attachment for a visual comparison of the three functions.
The largest sin(x) can get is 1.
This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3.
You can see this each time the red curve bottoms out at y = -3.
The smallest that g(x) can get is y = -2 as shown at the vertex (3,-2)
The smallest that h(x) can get is y = 3 as shown by the point (1,3)
See the attachment for a visual comparison of the three functions.
Answer:
Second option: One solution. Independent.
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "b" is the y-intercept.
Since the equations of the system have this form, we know that they are lines.
We can identify that the y-intercept of the first equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the first line which passess through the points (0,1) and (0.2,0). Observe the graph attached.
The y-intercept of the second equation is:
Now we need to find the x-intercept. Substitute and solve for "x":
Then, we can graph the second line, which passess through the points (0,-2) and (-1,0).
You can observe in the graph that the lines intersect at the point (1,-4). Therefore, that point is the solution of the system of equations.
Since the lines intersect, then there is one solution that is true for both equations. It is independent
