Which of the following best describes the solution to the system of equations below?
2 answers:
Answer: Option D
Step-by-step explanation:
The equation of the line in slope intercept form is:
Where m is the slope and b the y-intercept.
Solve for y from both equations:
As you can see, the slopes of the lines are equal, therefore, they are parallel.
If the lines are parallel then the system of equtions has no solution.
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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.