Part A: What is the y-intercept of the function, and what does this tell you about the truck?
The intersection of a function with the y-axis occurs when we evaluate the function for x = 0.
For this case we have:
f (0) = 330 miles
Therefore, the intersection with the y-axis is 330 miles.
It means that the truck is 330 miles from its destination.
Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 4 hours, and tell what the average rate represents.
Since the function is linear, the average exchange rate is:
m = (y2-y1) / (x2-x1)
Substituting values:
m = (275-330) / (1-0)
m = -55
It represents that the truck approaches 55 miles every hour to its destination.
Part C: What would be the domain of the function if the truck continued to travel at this rate until it reached its destination?
The linear equation that represents the problem is:
y = -55x + 330
For y = 0 we have:
0 = -55x + 330
Clearing x:
x = 330/55
x = 6
The domain of the function will be:
[0, 6]
If x is the number of hours Patricia needs to babysit, the inequality is
Therefore, since she has already saved $60,
Thus, the inequality that models the question is 60+5x>=200
Answer:
(see below)
Step-by-step explanation:
First, to make it easier for yourself, "flip" the triangles so that they "match." To see what I'm talking about, refer to IMAGE.A.
Now that you can tell that the congruent side and angles are corresponding, you have to prove them congruent.
There is one side and two angles, so it's AAS or SAA.
Answer:
C would be your rotaions
Step-by-step explanation:
if you compare the two graphs you can tell that the shape rotated on one fixated point, if that makes sense.
Answer:
Volume of rectangular prism:
V1 = base x height = 4 x 6 x 12 = 288 ft3
Volume of triangular prism:
V2 = base x height = 4 x (6/2) x 6 = 72 ft3
Volume of composite prism:
V= V1 + V2 = 288 + 72 = 360 ft3
Hope this helps!
:)
