Answer:
9.750
Step-by-step explanation:
formula for average rate of change is ;
f(b)- f(a)/b- a
here a = 1 and b = 2.5
f(b) = (2.5)^3 + 2 = 17.625
f(a) = 1^3+ 2 = 3
using the formula above, we have it that
(17.625-3)/2.5-1 = 9.750
Let me tell you the process so that you get to the answer
Remember first that the area of a regular polygon with x sides has each of them a length which can be represented by y
<span>A = 1/4 * xy^2 * Cot(180/x) </span>
<span>The purpose is to solve for y, so we get </span>
<span>y^2 = 4A/(xCot(180/x)) </span>
<span>y = √(4A/(xCot(180/x)))
The thing we need to change is A in the previous formula and with that we can use the equaation to be a constant. This could be represented by Z
</span><span>Z = √(4/(xCot(180/x)))
so
</span><span>Y = Z√A
</span><span>If we increase area by a factor s, y increases by a factor of √x.
</span>So if you want to know the triple then you need to increase it by <span> √3 </span> <span> </span>
The answer is 45. The explanation is that <1 and <5 are congruent or equal because they are parallel.
Answer:
a. y = 250 (0.4)^x
b. 0.066
Step-by-step explanation:
The equation can be modeled as a geometric sequence, where the first term is 100 and the common ratio is 0.4.
y = 100 (0.4)^(x − 1)
This can also be simplified to:
y = 250 (0.4)^x
When x = 9:
y = 250 (0.4)^9
y = 0.066
