The number of customers for a new online business can be modeled by y = 6x2 + 75x + 200, where x represents the number of months
2 answers:
Answer:
A. 5825
Step-by-step explanation:
Given: The number of customers for a new online business can be modeled by y = 6x^2 + 75x + 200, where "x" represents the number of months.
We are asked to find number of customers in month 25.
To find the number of customers in 25th month, we need to plug x = 25 in the given function.
y = 6( + 75(25) + 200
y = 6(625) + 1875 + 200
y = 3750 + 1875 + 200
y = 5825
Therefore, the answer is A. 5825
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So the line that is the limit is where the equation crosses the y axis or where x=0
so
y=(1/2(0)-2)^2+5
y=(-2)^2+5
y=4+5
y=9
at y=9
the upper bound is y=9
alrighty
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let's call the curve that is 6th degree f(x)
and the y=9, g(x)
f(x)=(1/2x-2)^6+5
g(x)=9
find where they intersect
9=(1/2x-2)^6+5
4=(1/2x-2)^6
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x=8
so the area under the curve will be
because g(x) is above f(x)
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is
or about 21.33333333
so
y=(1/2(0)-2)^2+5
y=(-2)^2+5
y=4+5
y=9
at y=9
the upper bound is y=9
alrighty
we will do
let's call the curve that is 6th degree f(x)
and the y=9, g(x)
f(x)=(1/2x-2)^6+5
g(x)=9
find where they intersect
9=(1/2x-2)^6+5
4=(1/2x-2)^6
fancy math
x=8
so the area under the curve will be
so
using our calculator because I can't figure out what