Answer:
Part A: 100
Part B: 625
Step-by-step explanation:
Part A equation: 25 x 4 = 100
Part B equation: 25 x 25 = 625
The function with the greatest average rate of change is the function k(x)
<h3>How to determine the function?</h3>
The average rate of change is calculated as
The interval is [0,2].
So, we have
For function j(x), we have
j(2) = 3 * 1.6^2 = 7.68
j(2) = 3 * 1.6^0 = 3
So, we have
For function g(x), we have
g(2) = 25/2
g(0) = 8
So, we have
For function k(x), we have
k(2) = 9
k(0) = 4
So, we have
For function f(x), we have
f(2) = 1.5 * 2^2 = 6
f(0) = 1.5
So, we have
The function with the greatest average rate of change is the function k(x) with a rate of 2.5
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Answer:
y = (√x)/13 for x > 0
Step-by-step explanation:
Actually, this is f(x) = 169x^2; the " ^ " indicates exponentiation. The graph consists of the right-hand half of the parabola 169x^2. Before we attempt to find the inverse function, we determine whether or not this function passes the vertical line test. If x is restricted to (0, infinity), a horizontal line intersects this graph only once. Therefore, this function has an inverse.
1. Replace 'f(x)' with 'y:' y = 169x^2
2. Interchange x and y: x = 169y^2
3. Solve for y: y^2 = x/169, or y = (√x)/13 for x > 0
Now, if you recall, there are 180° in π radians, now, so how many radians in 1°?
Answer:
x = 7
Step-by-step explanation:
The sum of the interior angles is 90°, so you have ...
(7x +8) +(5x -2) = 90
12x = 84 . . . . subtract 6; next, divide by 12
x = 7