Answer:
30% increase
Step-by-step explanation:
1.43 - 1.10 = 0.33
0.33 = 30% of 1.10
Answer:
Step-by-step explanation:
This question asks you to compare the coordinates of the vertex of each function.
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The vertex of the function is its minimum, the point where the graph stops decreasing and starts increasing. It is the lowest point on the graph.
<h3>f(x)</h3>
The vertex is (-4, -1). The minimum is -1, located at x = -4.
<h3>g(x)</h3>
The vertex is (1, -25). The minimum is -25, located at x = 1. We know this is the minimum because there are no g(x) values that are lower (more negative).
<h3>comparison</h3>
The minimum of f(x), -1, is greater than the minimum of g(x), -25. TRUE
The x-value of f(x) at its minimum, -4, is less than the x-value of g(x) at its minimum, 1. TRUE
121.50 divided by 9 is 13.50. 13.50 times 5 equals 67.50
Answer:
round it then divide it by 5
Step-by-step explanation:
(a) The "average value" of a function over an interval [a,b] is defined to be
(1/(b-a)) times the integral of f from the limits x= a to x = b.
Now S = 200(5 - 9/(2+t))
The average value of S during the first year (from t = 0 months to t = 12 months) is then:
(1/12) times the integral of 200(5 - 9/(2+t)) from t = 0 to t = 12
or 200/12 times the integral of (5 - 9/(2+t)) from t= 0 to t = 12
This equals 200/12 * (5t -9ln(2+t))
Evaluating this with the limits t= 0 to t = 12 gives:
708.113 units., which is the average value of S(t) during the first year.
(b). We need to find S'(t), and then equate this with the average value.
Now S'(t) = 1800/(t+2)^2
So you're left with solving 1800/(t+2)^2 = 708.113
<span>I'll leave that to you</span>
