Three smaller surface area = 6*3=18, while bigger = 14, so three smaller will melt faster.
The interval for which the average rate of change of f(x) is negative is; from x = 0 to x = 2.5.
For the average rate of change of f(x) to be negative, it means that the change in y and the change in x must have opposite signs.
For example, if the change in y is negative, them the change in x must be positive.
Similarly, if the change in y is positive, then change in x must be negative.
Now, the graph showing this quadratic function is missing and so i have attached it.
From the graph, the only interval at which the rate of change for y and x have opposite signs is from x = 0 to x = 2.5.
In this interval, we see that x is increasing from 0 to 2.5 which is positive change while y is decreasing from 1 to -3 which is negative change.
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Function y = -2x + 5:
slope of -2
y intercept at 5
x intercept at 2 1/2
function y = x
slope of 1
y intercept at 0
x intercept at 0
Answer:
x = 85 deg
Step-by-step explanation:
We can see that there are two straight lines that intersect and that the two angles given are opposite angles.
Because they are opposite angles, the two angles have the same value, i.e
(x + 5) = 90 (subtract 5 from each side)
x = 90 - 5
x = 85 deg
Answer:
The smaller dimension of the pool is 14 ft.
The larger dimension of the pool is 35 ft.
Step-by-step explanation:
We are told that:
The rectangular swimming pool is 6 ft deep. Thus, depth: h = 6 ft
One side of the pool is 2.5 times longer than the other.
Thus, length = 2.5(width)
l = 2.5w and width = w
Volume; V = lwh = (2.5w × w × 6) = 15w²
The amount of water needed to fill the swimming pool is 2940 cubic feet.
Thus;
15w² = 2940
w² = 2940/15
w² = 196
w = √196
w = 14 ft
Length: L = 2.5w = 2.5 × 14 = 35 ft