Answer:
Her sign is in error. The answer is -3/8.
Step-by-step explanation:
Nancy's answer has the correct magnitude. It is obtained by multiplying 1/4 by -3/2. However, the sign of that product will be negative. Nancy has reported a positive answer, so <em>it is incorrect</em>.
Standard form, hmm.
Multiplying an exponent is just adding, so let us do this.
Simplified, the answer should be
The answer is 65.9 because the place right after the decimal is the tenths place
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).
