A) H(x) = 220 - x
b) H(45) = 220 - 45 = 175
c) the slope is the amount the max heart rate goes down per year
d) 168 = 220 - x
x = 220 - 168 = 52 years old
1. Observe that the f(t) is change by 4 per time t => there's a acceleration of 4 => f''(t) = 4; Take the derivative of it we can get a velocity function. f'(t) = 4t + c. Since the velocity from 100 to 80 is -20 (average), this means at t = 0, f'(0) = -22 => f'(t) = 4t - 22; Take the derivative again to get the position function: f(t) = 2t^2 - 22t + d, here d = 100 should be trivial. So, the function that models the relationship is f(t) = 2t^2 - 22t + 100.
2. By the compound interest formula:
A = P (1 + r/n)^(nt) , since it's yearly, so n = 1;
results A(t) = 100 (1+0.12)^t.
3. The average rate of change is basically finding the slope, m = y1 - y2 / x1 - x2.
Given the graph below, the two functions shown can be classified as:
one line through the points (0, 5), (1, 4), (2, 3)
From the graph we can see that the green line also passes through same points (0, 5), (1, 4), (2, 3)
So both functions have same graph.
Hence the functions are same
answer : the same function
Answer:
Abdul - 8 messages
Latoya - 16 messages
Dale - 64 messages
Total - 88 messages
Step-by-step explanation:
A: (x)
L: (A + 8)
D: (L* 4)
A: 8 = 8
L: 8 + 8 = 16
D: 16 * 4 = 64
8 + 16 + 64 = 88
Hope this helps!