Answer:
[4, positive infinity)
Step-by-step explanation:
since there is a closed circle on 4, we include 4 in the continuous interval, and we assume that the arrow represents continuity after the graph ends, so the interval of continuity is from 4 to positive infinity.
The average rate of change of a linear function is the slope of the line. Since we are given the following coordinates:
(0,150) and (3,0)
We can easily solve for the slope.
m = (y2 - y1) / (x2 - x1)
m = (0 - 150) / (3 - 0) = -50
Therefore, the average rate of change of the function in the three seconds is -50.
Step-by-step explanation:
log <base a> b = x
means
a^x = b
So
3^2 = x^2+7x+21
x^2 + 7x + 21 - 9 = 0
x^2 + 7x + 12 = 0
(x+3)(x+4)
x = -3 or -4
The correct numbers are 55 and 47, because they have a difference of 8 and a sum of 102.