The number of students in 2nd period Math increased by 15% during the school year. There were 20 students in the class at the be
1 answer:
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Given a point-slope form equation, we can easily locate of the slope of the linear equation. As a review, the point-slope form can be expressed as
where y₁ and x₁ are the x and y-coordinates of the equation and m is the slope. Seeing that (y-2) = 3(x-1) is already in this form, we can clearly see that the slope of the equation is equal to 3.
Answer: 3
where y₁ and x₁ are the x and y-coordinates of the equation and m is the slope. Seeing that (y-2) = 3(x-1) is already in this form, we can clearly see that the slope of the equation is equal to 3.
Answer: 3
Answer:
f(x) = (3x -12)/(x² -7x +12)
Step-by-step explanation:
The equation for a rational function can be written from the clues offered by the horizontal and vertical asymptotes, the y-intercept, and any "holes" in the function graph. Here, those clues are ...
- horizontal asymptote: y = 0
- vertical asymptote: x = 3
- hole: (x, y) = (4, 3)
- y-intercept: (0, -1)
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The horizontal asymptote at y=0 tells you the denominator is of higher degree than the numerator. The vertical asymptote at x=3 tells you (x-3) is a factor of the denominator. The hole at x=4 tells you there is a factor of (x-4) in both numerator and denominator.
At this point, the function is tentatively ...
Evaluating this at the y-intercept, x=0, gives ...
f(0) = -1 = a/(0 -3) = -a/3
a = 3 . . . . . multiply by -3
Then our rational function, consistent with all of the features of the graph, is ...