Part A: The slope of f(x) is three times as great as the slope of g(x).
Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).
In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.
slope (m) = (y2 - y1)/(x2 - x1)
In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)
slope (m) = (-6 - 0)/(0 - 1)
m = -6/-1
m = 6
Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.
y = mx + b
0 = 6(1) + b
0 = 6 + b
-6 = b
So we know the y-intercept is -6, which is 12 less than the y-intercept of g(x).
Answer:
38 + 37i
Step-by-step explanation:
(9 − 4i)(2 + 5i)
FOIL
first: 9*2 = 18
Outer: 9*5i = 45i
inner: -4i * 2 = -8i
last : -4i * 5i = -20i^2 = -20(-1) = 20
Combine together
18+45i-8i +20
38 + 37i
If you use the equation y = mx+b then you already know what the b term is because you have the y intercept. For the m (slope) you take the slope of the other line and use that because since there parallel they are going to run at the same angle (slope). Hope this helped. If you have any questions just ask.
Answer:
5 seconds per foot
Step-by-step explanation:
