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.
Answer: I think the answer is x=16
Step-by-step explanation:
y=-16 x=4
+16 +4
so in order to get a positive number i added 16 to y and 4 to x which equals
y=0 x=8
y=0 x= 8
+16 +4
I added another 16 to y and another 4 to x = y=16, x=12
y= 16 x=12
+16 +4
I added another 16 to y and another 4 to x = y= 32 x= 16
so the answer for x is 16
hopefully i got it right
I'm assuming you need to know how many was there before the cut. If so, there would have been 1,440
In this equation w = -1.1
In order to find this, get all w values to the right side and all numbers to the left side.
-2.27 + 9.1w + 1.3w = -3.4w - 17.45 ----> combine like terms
-2.27 + 10.4w = -3.4w - 17.45 ----> add 3.4w to both sides
-2.27 + 13.8w = -17.45 ----> add 2.27 to both sides
13.8w = -15.18 -----> divide both sides by 13.8
w = -1.1
<span>The correct answer for this item is letter A. The number line is a graph of the real numbers. The center part of the number line is zero. To the right of this digit are the positive integers and to its left are the negative integers. Both extend indefinitely or depending on the desires of the maker of the number line. </span>