Answer:
We do not have the function g(x), but this can be solved in a trivial way.
The average rate of change in a interval is the slope over that interval, so the average rate of change of g(x) in the interval 1 < x < 5 is
p = (g(x2) - g(x1))/(x2 - x1) where x2 > x1
p = (g(5) - g(1))/(5 - 1) = (g(5) - g(1))/4
Now, suppose that i have the new equation h(x) = g(x) + x
the rate of change of this function, the average rate of change in the interval will be:
p' = (h(5) - h(1))/(5 - 1) = (g(5) + 5 - g(1) - 1)/4 = (g(5) - g(1))/4 + 4/4 = p +1
so p' > p
and the average rate of change of h(x) is bigger than the one of g(x) in the interval 1< x < 5
Answer:
y=8/5x-11
Step-by-step explanation:
Y = -1/3x + 2.....the slope here is -1/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, flip the slope and change the sign. So the slope is -1/3.....flip it and it becomes - 3/1....change the sign and it becomes 3/1 or just 3. So ur perpendicular line will have a slope of 3.
y = mx + b
slope(m) = 3
(-3,-5)....x = -3 and y = -5
now sub into the formula and find b, the y int
-5 = 3(-3) + b
-5 = -9 + b
-5 + 9 = b
4 = b
so ur perpendicular equation is : y = 3x + 4 <===
Wouldn't that be 330 miles? Units are important.
Let d represent your distance from home. At the beginning you're 330 miles away, driving home at 55 mph (average). If x represents the number of hours you've driven, then
d(x) = 330 miles - (55 mph)x
