Answer:
Step-by-step explanation:
Are you in Calculus? These are calculus concepts!
To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"
If you know calculus: The 'rate of change' on the interval (a, b) is
f(b) - f(a)
r. of c. = --------------------
b - a
Have you used this formula before?
Because of the 'x^2' term this is NOT a linear function.
If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.
7/12 is closer to 0.583333
Answer: at 50 mph, she drove for 4 hours.
at 45 mph, she drove for 2 hours.
Step-by-step explanation:
Let t represent the time that she spent driving at 50 miles per hour.
Taylor took 6 hours to drive home from college for Thanksgiving break. This means that the time that she spent driving at 45 miles per hour is (6 - t) hours.
Distance = speed × time
Distance covered while driving 50 miles per hour is
50t
Distance covered while driving 45 miles per hour is
45(6 - t)
Since the total distance that she drove is 290 miles, it means that
50t + 45(6 - t) = 290
50t + 270 - 45t = 290
50t - 45t = 290 - 270
5t = 20
t = 20/5 = 4
At 45 miles per hour, she drove at
6 - 4 = 2 hours
2 3/4 divided by 1/4
is
2 3/4 multiplied by 4/1
which is (2+3/4)*4 = 2*4 + 3/4*4 = 8+3 =<em>11</em>
Given:
Line A: 2x + 2y = 8
Line B: x + y = 4
x = 4 - y
2(4-y) + 2y = 8
8 - 2y + 2y = 0
0 = -8
y = 4 - x
2x + 2(4-x) = 8
2x + 8 - 2x = 8
0 = 0
There is no solution.