You are 330 miles from home and you are driving toward home at an average of 55 mph. Write an equation to represent the situatio
2 answers:
Answer:
D∈[0,6] R∈ [330,0]
Step-by-step explanation:
Analyzing the data:
Average Speed: 55 miles per hour
Location: 330 miles
Well, those two physical quantities speed and space already relate to each other in this formula:
Rewriting it as a function
Domain. The inputs for our Domain are going to be: the hours needed to get back home. Since this question imposes us some restrictions, the hours enough to get home, and as there is no negative hour.
0=330-55t
330=-55t
t=6 hours
So we can write
D∈[0,6]
Range. As for the Range of this function, we will call it the location. All we have to do is to find the Interval where it is valid this function, under those conditions.
Since it is a decreasing function. It all starts with position 330 miles and then goes all the way to point 0 (home). So we can say that: R ∈ [330,0]
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Answer:
f(x) = -4x² + 19x - 18
Step-by-step explanation:
i) If it is translated 2 units in the positive x direction, therefore we use f(x-2)
f(x) = 2x² - 9.5x + 6
If it is then translated 3 units in the positive y, we add 3 to the input function to get:
ii) stretched vertically by a factor of 2, we multiply the function by 2 to get:
iii) reflected across the x-axis
we multiply the parent function by –1, to get a reflection about the x-axis.