Answer:
Step-by-step explanation:
Average rate of change is Δy / Δx.
For f(x):
[ f(1) - f(0) ] / (1 - 0)
(1 - 3) / (1 - 0)
-2
For g(x):
[ g(1) - g(0) ] / (1 - 0)
(4 - 3) / (1 - 0)
1
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).
36 feet of carpet cause its a square so 6x6 is 36
You multiply the options in each section:
Shirts x skirts x shoes
7 x 6 x 4
=168
So, there are 168 combinations- Letter answer B
Answer:3/20
Step-by-step explanation:
Fraction of total area mowed = (3/5) + (1/4) = 17/20
Therefore fraction of total area left = 1 - (17/20) = (20/20) - (17/20) = 3/20
